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/**
* math.js
* https://github.com/josdejong/mathjs
*
* Math.js is an extensive math library for JavaScript and Node.js,
* It features real and complex numbers, units, matrices, a large set of
* mathematical functions, and a flexible expression parser.
*
* @version 0.27.0
* @date 2014-08-21
*
* @license
* Copyright (C) 2013-2014 Jos de Jong
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not
* use this file except in compliance with the License. You may obtain a copy
* of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
* License for the specific language governing permissions and limitations under
* the License.
*/
!function(e,r){"object"==typeof exports&&"object"==typeof module?module.exports=r():"function"==typeof define&&define.amd?define(r):"object"==typeof exports?exports.math=r():e.math=r()}(this,function(){return function(e){function r(t){if(n[t])return n[t].exports;var i=n[t]={exports:{},id:t,loaded:!1};return e[t].call(i.exports,i,i.exports,r),i.loaded=!0,i.exports}var n={};return r.m=e,r.c=n,r.p="",r(0)}([function(e,r,n){e.exports=n(1)},function(e,r,n){"use strict";function t(e){if("function"!=typeof Object.create)throw new Error("ES5 not supported by this JavaScript engine. Please load the es5-shim and es5-sham library for compatibility.");var r={},a={matrix:"matrix",number:"number",precision:64,epsilon:1e-14};r.config=function(e){if(e){if(i.deepExtend(a,e),e.precision&&r.type.BigNumber.config({precision:e.precision}),n(2)(r,a),e.number&&e.number.defaultType)throw new Error("setting `number.defaultType` is deprecated. 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If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]}},function(e){e.exports={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]}},function(e){e.exports={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]}},function(e){e.exports={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]}},function(e){e.exports={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]}},function(e){e.exports={name:"dotpow",category:"Operators",syntax:["x .^ y","dotpow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]}},function(e){e.exports={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"],seealso:["pow","log"]}},function(e){e.exports={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]}},function(e){e.exports={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]}},function(e){e.exports={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]}},function(e){e.exports={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]}},function(e){e.exports={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"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).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log10"]}},function(e){e.exports={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]}},function(e){e.exports={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","function isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]}},function(e){e.exports={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]}},function(e){e.exports={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i))","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)","norm([[1, 2], [3, 4]], 'inf')","norm([[1, 2], [3, 4]], 'fro')"]}},function(e){e.exports={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3 = 8","2*2*2","1 + e ^ (pi * i)"],seealso:["multiply"]}},function(e){e.exports={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"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.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]}},function(e){e.exports={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]}},function(e){e.exports={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","multiply"]}},function(e){e.exports={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]}},function(e){e.exports={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]}},function(e){e.exports={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]}},function(e){e.exports={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]}},function(e){e.exports={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]}},function(e){e.exports={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 if x is larger than y, -1 if x is smaller than y, and 0 if x and y are equal.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq"]}},function(e){e.exports={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["[1,3,4] == [1,3,4]","[1,3,4] == [1,3]"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]}},function(e){e.exports={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e){e.exports={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]}},function(e){e.exports={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 > 1+1","2 >= 1+1","a = 3.2","b = 6-2.8","(a > b)"],seealso:["equal","unequal","smallerEq","smaller","largerEq","compare"]}},function(e){e.exports={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]}},function(e){e.exports={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 1+1","2 <= 1+1","a = 3.2","b = 6-2.8","(a < b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]}},function(e){e.exports={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e){e.exports={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]}},function(e){e.exports={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]}},function(e){e.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]}},function(e){e.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]}},function(e){e.exports={name:"bignumber",category:"Type",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","index","matrix","string","unit"]}},function(e){e.exports={name:"boolean",category:"Type",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]}},function(e){e.exports={name:"complex",category:"Type",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]}},function(e){e.exports={name:"index",category:"Type",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]}},function(e){e.exports={name:"matrix",category:"Type",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()","matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])"],seealso:["bignumber","boolean","complex","index","number","string","unit"]}},function(e){e.exports={name:"number",category:"Type",syntax:["x","number(x)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]}},function(e){e.exports={name:"string",category:"Type",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]}},function(e){e.exports={name:"unit",category:"Type",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]}},function(e){e.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]}},function(e){e.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]}},function(e){e.exports={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}
},function(e){e.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"eye",category:"Matrix",syntax:["eye(n)","eye(m, n)","eye([m, n])","eye"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["eye(3)","eye(3, 5)","a = [1, 2, 3; 4, 5, 6]","eye(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]}},function(e){e.exports={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","eye","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])","ones"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","eye","inv","range","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","eye","inv","ones","size","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze"]}},function(e){e.exports={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","eye","inv","ones","range","squeeze","subset","transpose","zeros"]}},function(e){e.exports={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","eye","inv","ones","range","size","subset","transpose","zeros"]}},function(e){e.exports={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","transpose","zeros"]}},function(e){e.exports={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","zeros"]}},function(e){e.exports={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])","zeros"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","transpose"]}},function(e){e.exports={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["permutations","factorial"]}},function(e){e.exports={name:"distribution",category:"Probability",syntax:["distribution(name)","distribution(name, arg1, arg2, ...)"],description:'Create a distribution object of a specific type. 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return val.sqrt();},SUM:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);if(_.filter(inputs,function(element){return element!==undefined;}).length===0){throw LF.formula.errorList.badArgCount;}
var filter=_.filter(inputs,function(element){return(LF.f._IsBigNumber(element));});if(!filter.length){return LF.f._BN(0);}
return _.reduce(filter,function(s,n){return s.plus(n);},LF.f._BN(0));},AVG:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);if(_.filter(inputs,function(element){return element!==undefined;}).length===0){throw LF.formula.errorList.badArgCount;}
var filter=_.filter(inputs,function(element){return(LF.f._IsBigNumber(element));});if(filter.length){return _.reduce(filter,function(s,n){return LF.f._BN(s).plus(n);},0).div(filter.length);}
throw LF.formula.errorList.divByZero;},AVERAGE:function(){return LF.f.AVG.apply(this,arguments);},_ConvertStringsAndBools:function(array){if(arguments.length===1&&LF.f._IsArray(array)){array=_.map(array,function(element){if(LF.f._IsBigNumber(element)){return element;}
else if(element===true){return LF.f._BN(1);}
else{return LF.f._BN(0);}});return array;}
throw LF.formula.errorList.unexpectedError;},AVERAGEA:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);inputs=_.filter(inputs,function(element){return(element!==null&&element!==undefined);});if(arguments.length){return LF.f.AVG.apply(this,LF.f._ConvertStringsAndBools(inputs));}
throw LF.formula.errorList.badArgCount;},MAX:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);if(_.filter(inputs,function(element){return element!==undefined;}).length===0){throw LF.formula.errorList.badArgCount;}
var filter=_.filter(inputs,function(element){return LF.f._IsBigNumber(element);});if(!filter.length){return LF.f._BN(0);}
return _.max(filter,function(element){return element.toNumber();});},MAXA:function(){var hasVariable=_.find(arguments,function(ele){return ele instanceof jQuery;});LF.f._FixArguments(arguments);var inputs=_.filter(LF.formula.concatArgs(arguments),function(element){return(element!==undefined&&element!='');});if(hasVariable&&inputs.length==0){inputs.push(LF.f._BN(0));}
return LF.f.MAX.apply(this,LF.f._ConvertStringsAndBools(inputs));},MIN:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);if(_.filter(inputs,function(element){return element!==undefined;}).length===0){throw LF.formula.errorList.badArgCount;}
var filter=_.filter(inputs,function(element){return LF.f._IsBigNumber(element);});if(!filter.length){return LF.f._BN(0);}
return _.min(filter,function(element){return element.toNumber();});},MINA:function(){var hasVariable=_.find(arguments,function(ele){return ele instanceof jQuery;});LF.f._FixArguments(arguments);var inputs=_.filter(LF.formula.concatArgs(arguments),function(element){return(element!==undefined&&element!='');});if(hasVariable&&inputs.length==0){inputs.push(LF.f._BN(0));}
return LF.f.MIN.apply(this,LF.f._ConvertStringsAndBools(inputs));},COUNT:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);var numArgs=_.filter(inputs,function(arg){return LF.f._IsBigNumber(arg);});return LF.f._BN(numArgs.length);},ABS:function(value){LF.f._FixArguments(arguments,true);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
else if(!LF.f._IsBigNumber(value)){throw LF.formula.errorList.notNumber;}
return value.abs();},CEILING:function(value,ceil)
{LF.f._FixArguments(arguments,true);if(arguments.length!==1&&arguments.length!==2||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsBigNumber(value)){throw LF.formula.errorList.notNumber;}
if(ceil===undefined){ceil=value.greaterThan(0)?LF.f._BN(1):LF.f._BN(-1);}
if(!LF.f._IsBigNumber(ceil)){throw LF.formula.errorList.notNumber;}
if(value.toNumber()===0||ceil.toNumber()===0){return LF.f._BN(0);}
return ceil.abs().times(value.div(ceil.abs()).ceil());},FLOOR:function(value,floor)
{LF.f._FixArguments(arguments,true);if(arguments.length!==1&&arguments.length!==2||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsBigNumber(value)){throw LF.formula.errorList.notNumber;}
if(floor===undefined){floor=value.greaterThan(0)?LF.f._BN(1):LF.f._BN(-1);}
if(!LF.f._IsBigNumber(floor)){throw LF.formula.errorList.notNumber;}
if(value.toNumber()===0||floor.toNumber()===0){return LF.f._BN(0);}
return floor.abs().times(value.div(floor.abs()).floor());},ISEVEN:function(value){LF.f._FixArguments(arguments,true);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsBigNumber(value)){throw LF.formula.errorList.notNumber;}
if(value.toNumber()===Infinity||value.toNumber()===-Infinity){return false;}
return LF.f._TruncateNumber(value)%2===0;},ISODD:function(value){LF.f._FixArguments(arguments,true);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsBigNumber(value)){throw LF.formula.errorList.notNumber;}
if(value.toNumber()===Infinity||value.toNumber()===-Infinity){return false;}
return LF.f._TruncateNumber(value)%2!==0;},EVEN:function(value){LF.f._FixArguments(arguments,true);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(LF.f._IsBigNumber(value)){var ceil=value>0?LF.f._BN(2):LF.f._BN(-2);return ceil.times(value.div(ceil).ceil());}
throw LF.formula.errorList.notNumber;},ODD:function(value){LF.f._FixArguments(arguments,true);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(LF.f._IsBigNumber(value)){var retVal;if(value.gt(0)){retVal=value.ceil();if(retVal.mod(2).eq(0)){retVal=retVal.plus(1);}}
else if(value.lt(0)){retVal=value.floor();if(retVal.mod(2).eq(0)){retVal=retVal.minus(1);}}
else{retVal=LF.f._BN(1);}
return retVal;}
throw LF.formula.errorList.notNumber;},LOG:function(value,base){LF.f._FixArguments(arguments,true);if(arguments.length===2||(arguments.length===1&&arguments[0]!==undefined)){if(arguments.length===1){base=LF.f._BN(10);}
if(LF.f._IsBigNumber(base)&&LF.f._IsBigNumber(value)){if(LF.f.SIGN(value).eq(1)&&LF.f.SIGN(base).eq(1)){return value.logarithm(base);}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},LOG10:function(value){LF.f._FixArguments(arguments,true);if(arguments.length===1){return LF.f.LOG(value);}
throw LF.formula.errorList.badArgCount;},LN:function(value){LF.f._FixArguments(arguments,true);if(arguments.length===1&&arguments[0]!==undefined){if(LF.f._IsBigNumber(value)){if(LF.f.SIGN(value).eq(1)){return value.ln()}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber}
throw LF.formula.errorList.badArgCount;},MEDIAN:function(){LF.f._FixArguments(arguments);if(arguments.length&&(arguments.length!==1||arguments[0]!==undefined)){var inputs=_.filter(LF.formula.concatArgs(arguments),function(element){return LF.f._IsBigNumber(element);}).sort(function(bigNum1,bigNum2){return bigNum1.minus(bigNum2);});var length=inputs.length;if(!length){throw LF.formula.errorList.badArgValue;}
if(LF.f.ISEVEN(LF.f._BN(length))){return LF.f.AVG(inputs[length/2-1],inputs[length/2]);}
else{return inputs[LF.f._TruncateNumber(LF.f._BN(length).div(2))];}}
throw LF.formula.errorList.badArgCount;},MODE:function(){LF.f._FixArguments(arguments);if(arguments.length&&(arguments.length!==1||arguments[0]!==undefined)){var inputs=_.filter(LF.formula.concatArgs(arguments),function(element){return LF.f._IsBigNumber(element);}).sort();var length=inputs.length;if(!length){throw LF.formula.errorList.badArgValue;}
else if(length!=arguments.length){throw LF.formula.errorList.badArgValue;}
var currentCount=0;var currentValue=inputs[0];var maxCount=0;var maxValue=inputs[0];for(var i=0;imaxCount){maxCount=currentCount;maxValue=currentValue;}
currentCount=1;currentValue=inputs[i];}}
return currentCount>maxCount?currentValue:maxValue;}
throw LF.formula.errorList.badArgCount;},MROUND:function(number,multiple){LF.f._FixArguments(arguments,true);if(arguments.length!==2){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsBigNumber(number)||!LF.f._IsBigNumber(multiple)){throw LF.formula.errorList.badArgValue;}
if(multiple.eq(0)){return LF.f._BN(0);}
return number.div(multiple).round().times(multiple);},PI:function(){LF.f._FixArguments(arguments);if((arguments.length===1&&arguments[0]===undefined)||!arguments.length){return LF.f._BN("3.141592653589793238462643383279502884197169399375105820974944592307816406286");}
throw LF.formula.errorList.badArgCount;},_Factorial:function(value){if(arguments.length===1){if(LF.f._IsBigNumber(value)){if(value.gte(0)){if(value.eq(0)){return BigNumber(1);}
return value.times(LF.f._Factorial(value.minus(1)));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},PRODUCT:function(){LF.f._FixArguments(arguments);var inputs=LF.formula.concatArgs(arguments);if(_.filter(inputs,function(element){return element!==undefined;}).length===0){throw LF.formula.errorList.badArgCount;}
var filter=_.filter(inputs,function(element){return LF.f._IsBigNumber(element);});if(!filter.length){return LF.f._BN(0);}
return _.reduce(filter,function(s,n){return s.times(n);});},QUOTIENT:function(val1,val2){LF.f._FixArguments(arguments,true);return LF.f._TruncateNumber(LF.f.DIV.apply(this,arguments));},ROUND:function(value,numDigits){LF.f._FixArguments(arguments,true);if(arguments.length===2||(arguments.length===1&&value!==undefined)){if(numDigits===undefined){numDigits=LF.f._BN(0)}
var upper=LF.f.ROUNDUP(value,numDigits);var lower=LF.f.ROUNDDOWN(value,numDigits);return(LF.f.ABS(value.minus(lower)).lessThan(LF.f.ABS(upper.minus(value))))?lower:upper;}
throw LF.formula.errorList.badArgCount;},ROUNDDOWN:function(value,numDigits){LF.f._FixArguments(arguments,true);if(arguments.length===2||(arguments.length===1&&arguments[0]!==undefined)){if(arguments.length===1){numDigits=LF.f._BN(0);}
numDigits=LF.f._TruncateNumber(numDigits);return LF.f.TRUNC(value,numDigits);}
throw LF.formula.errorList.badArgCount;},ROUNDUP:function(value,numDigits){LF.f._FixArguments(arguments,true);if(arguments.length===2||(arguments.length===1&&arguments[0]!==undefined)){if(arguments.length===1){numDigits=LF.f._BN(0);}
if(LF.f._IsBigNumber(value)&&LF.f._IsBigNumber(numDigits)){numDigits=LF.f._TruncateNumber(numDigits);return value.greaterThan(0)?LF.f.CEILING(value,LF.f._BN(Math.pow(10,numDigits.times(-1)))):LF.f.FLOOR(value,LF.f._BN(-1*Math.pow(10,numDigits.times(-1))));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.badArgCount;},SIGN:function(value){LF.f._FixArguments(arguments,true);if(arguments.length===1&&arguments[0]!==undefined){if(LF.f._IsBigNumber(value)){if(value.c.length===1&&value.c[0]===0){return LF.f._BN(0);}
return LF.f._BN(value.s);}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},TRUNC:function(number,numDigits){LF.f._FixArguments(arguments,true);if(arguments.length===2||(arguments.length===1&&arguments[0]!==undefined)){if(arguments.length===1){numDigits=LF.f._BN(0);}
if(LF.f._IsBigNumber(number)&&LF.f._IsBigNumber(numDigits)){numDigits=LF.f._TruncateNumber(numDigits);return number.greaterThan(0)?LF.f.FLOOR(number,LF.f._BN(Math.pow(10,numDigits.times(-1)))):LF.f.CEILING(number,LF.f._BN(-1*Math.pow(10,numDigits.times(-1))));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.badArgCount;},LARGE:function(array,n){LF.f._FixArguments(arguments);if(arguments.length===2){if(!LF.f._IsArray(array)||(!LF.f._IsBigNumber(n)&&!LF.f._IsArray(n))){throw LF.formula.errorList.badArgValue;}
if(!_.some(array,function(element){return LF.f._IsBigNumber(element);})){throw LF.formula.errorList.badArgValue;}
array=_.map(_.omit(array,function(element){return!LF.f._IsBigNumber(element)}));array=array.sort(this._CompareBigNumbers);if(LF.f._IsBigNumber(n)){n=LF.f.CEILING(n);if(n.toNumber()>array.length||n.toNumber()<1){throw LF.formula.errorList.outOfRange;}
if(LF.f._IsBigNumber(array[array.length-n.toNumber()])){return array[array.length-n.toNumber()];}
throw LF.formula.errorList.notNumber;}
else{var retArray=[];_.map(n,function(element){if(LF.f._IsBigNumber(element)){element=LF.f.CEILING(element);if(element<=array.length&&element.toNumber()>=1){return element;}
throw LF.formula.errorList.outOfRange;}
throw LF.formula.errorList.notNumber;});n.forEach(function(element){retArray.push(array[array.length-element]);});}
return retArray;}
throw LF.formula.errorList.badArgCount;},_CompareBigNumbers:function(bigNumberOne,bigNumberTwo){if(bigNumberOne.lt(bigNumberTwo)){return-1;}
if(bigNumberOne.gt(bigNumberTwo)){return 1;}
return 0;},_FilterFloat:function(value){if(/^(\-|\+)?([0-9]+(\.[0-9]+)?|Infinity)$/.test(value)){return LF.f._BN(value);}
return NaN;},_COUNTIF:function(array,criterion){var op="";var critVal;var critIsNumber=true;var critIsBool=false;if(criterion===""){critVal=LF.f._BN(0);}
else if(typeof(criterion)=="boolean"){critVal=criterion;critIsBool=true;}
else if(LF.f._IsBigNumber(criterion)){critVal=criterion;}
else{var opRE=/^(>=|<=|<>|[=><])/g;var opMatchArray=criterion.match(opRE);if(opMatchArray==null){critVal=LF.f._parseValue(criterion);}
else if(opMatchArray.length==1){op=opMatchArray[0];critVal=LF.f._parseValue(criterion.replace(op,""));}
else{return null;}
if(critVal==null){critVal=criterion.replace(op,"");critIsNumber=false;}}
var retArray=critIsBool?LF.f._boolCompare(array,critVal):critIsNumber?LF.f._numCompare(array,op,critVal):LF.f._strCompare(array,op,critVal);return retArray;},_boolCompare:function(array,criterion){return _.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()==criterion.toString():typeof(n)=='boolean'?n==criterion:false})},_strCompare:function(array,op,criterion){var retArray=[];switch(op){case"":case"=":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()==criterion.toLowerCase():typeof(n)=='boolean'?n.toString()==criterion.toLowerCase():false});break;case">":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()>criterion.toLowerCase():false});break;case"<":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()=":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()>=criterion.toLowerCase():false});break;case"<=":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()<=criterion.toLowerCase():false});break;case"<>":retArray=_.filter(array,function(n){return typeof(n)=='string'?n.toLowerCase()!=criterion.toLowerCase():typeof(n)=='boolean'?n.toString()!=criterion.toLowerCase():false});break;default:break;}
return retArray;},_numCompare:function(array,op,criterion){var retArray=[];var temp;switch(op){case"":case"=":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?n.eq(criterion):(temp=LF.f._parseValue(n))==null?false:temp.eq(criterion)});break;case">":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?n.gt(criterion):(temp=LF.f._parseValue(n))==null?false:temp.gt(criterion)});break;case"<":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?n.lt(criterion):(temp=LF.f._parseValue(n))==null?false:temp.lt(criterion)});break;case">=":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?n.gte(criterion):(temp=LF.f._parseValue(n))==null?false:temp.gte(criterion)});break;case"<=":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?n.lte(criterion):(temp=LF.f._parseValue(n))==null?false:temp.lte(criterion)});break;case"<>":retArray=_.filter(array,function(n){return LF.f._IsBigNumber(n)?!n.eq(criterion):(temp=LF.f._parseValue(n))==null?false:!temp.eq(criterion)});break;default:break;}
return retArray;},_XCOUNTIF:function(array,criterion){var retArray=[];if(criterion==""){criterion=LF.f._BN(0);}
var numfilter=_.map(_.filter(array,function(element){return LF.f._IsBigNumber(LF.f._FilterFloat(element));}),function(n){return LF.f._FilterFloat(n)});var stringfilter=_.filter(array,function(element){return LF.f._IsString(element);});if(!LF.f._IsBigNumber(criterion)&&!LF.f._IsString(criterion)){return null;}
else if(LF.f._IsBigNumber(criterion)){retArray=_.filter(numfilter,function(element){return element.toNumber()===criterion.toNumber();});}
else{var changedString=criterion.replace("=","").replace(">","").replace("<","");var doubleCriteria=LF.f._FilterFloat(changedString);if(LF.f._IsBigNumber(doubleCriteria)&&criterion.length!==0){if((criterion[0]==='='&&criterion.replace("=","")===changedString)||criterion===changedString){retArray=_.filter(numfilter,function(element){return element.toNumber()===doubleCriteria.toNumber();});}
else if(criterion[0]==='<'){if(criterion.length>1&&criterion[1]==='>'&&criterion.replace("<>","")===changedString){retArray=_.filter(array,function(element){if(LF.f._IsBigNumber(element)){return element.toNumber()!=doubleCriteria.toNumber();}
return true;});}
else if(criterion.length>1&&criterion[1]==='='&&criterion.replace("<=","")===changedString){retArray=_.filter(numfilter,function(element){return element.toNumber()<=doubleCriteria.toNumber();});}
else if(criterion.replace("<","")===changedString){retArray=_.filter(numfilter,function(element){return element.toNumber()'){if(criterion.length>1&&criterion[1]==='='&&criterion.replace(">=","")===changedString){retArray=_.filter(numfilter,function(element){return element.toNumber()>=doubleCriteria.toNumber();});}
else if(criterion.replace(">","")===changedString){retArray=_.filter(numfilter,function(element){return element.toNumber()>doubleCriteria.toNumber();});}}}
else{var regularExpression=criterion.replace(/\?/g,".").replace(/~\./g,"\\?").replace(/\*/g,".*").replace(/~\.\*/g,"\\*").replace(/~\\\?/g,"~.").replace(/~\\\*/g,"~.*");regularExpression='^'+regularExpression+'$';regularExpression=new RegExp(regularExpression,"i");retArray=_.filter(array,function(element){if(LF.f._IsBigNumber(element)){return regularExpression.test(element.toNumber());}
else{return regularExpression.test(element);}});}}
return retArray;},COUNTIF:function(array,criterion){LF.f._FixArguments(arguments);if(arguments.length!==2){return LF.f._BN(0);}
if(!LF.f._IsArray(array)||(!LF.f._IsBigNumber(criterion)&&!LF.f._IsString(criterion))){return LF.f._BN(0);}
var retArray=LF.f._COUNTIF(array,criterion);if(retArray===null){return LF.f._BN(0);}
return LF.f._BN(retArray.length);},SUMIF:function(array,criterion,sum_range){LF.f._FixArguments(arguments);if(arguments.length!==2&&arguments.length!==3){return LF.f._BN(0);}
else if(arguments.length===2){sum_range=array;}
var retArray=LF.f._COUNTIF(array,criterion);if(retArray===null){return LF.f._BN(0);}
var index=[];for(var i=0;i-1||retArray.indexOf(LF.f._FilterFloat(array[i]))>-1){index.push(i);}}
var sumArray=[];for(var i=0;i-1){sumArray.push(sum_range[i]);}}
var numArray=_.filter(sumArray,function(element){return LF.f._IsBigNumber(element);});if(numArray.length===0){return LF.f._BN(0);}
return LF.f.SUM(numArray);},SUMIFS:function(sum_range,array,criterion){LF.f._FixArguments(arguments);if(arguments.length%2==0){throw LF.formula.errorList.badArgCount;}
var length=sum_range.length;var criteria=[];var ranges=[];var retArr=[];var i=1;while(i-1){indexSubArr.push(j);}}
indexArr.push(indexSubArr);}
var sumRangeIndexArr=_.intersection.apply(this,indexArr);if(sumRangeIndexArr.length==0){return LF.f._BN(0);}
var sumRangeArr=_.map(sumRangeIndexArr,function(index){return sum_range[index]});var numArray=_.filter(sumRangeArr,function(element){return LF.f._IsBigNumber(element);});if(numArray.length===0){return LF.f._BN(0);}
return LF.f.SUM(numArray);},AVERAGEIF:function(array,criterion,sum_range){LF.f._FixArguments(arguments);if(sum_range===null||(arguments.length!=2&&arguments.length!=3)){return LF.f._BN(0);}
else if(arguments.length===2){sum_range=array;}
var sumResult=LF.f.SUMIF(array,criterion,sum_range);var countResult=LF.f.COUNTIF(array,criterion);var averageResult=LF.f._BN(0);if(countResult.toNumber()!==0){averageResult=sumResult.div(countResult);}
return averageResult;},CHOOSE:function(index){LF.f._FixArguments(arguments);var args=Array.prototype.slice.call(arguments,1);if(args.length&&index!==undefined){if(LF.f._IsBigNumber(index)){index=LF.f._TruncateNumber(index)}
else{throw LF.formula.errorList.notNumber;}
if(index.toNumber()<1||index.toNumber()>args.length){throw LF.formula.errorList.outOfRange;}
if(args[index.toNumber()-1]!==undefined){return args[index.toNumber()-1]}}
throw LF.formula.errorList.badArgCount;},CHOOSEA:function(){LF.f._FixArguments(arguments);args=LF.formula.concatArgs(arguments);return LF.f.CHOOSE.apply(this,args);},GT:function(val1,val2){LF.f._FixArguments(arguments,true);if(arguments.length===2){if(LF.f._IsBigNumber(val1)&&LF.f._IsBigNumber(val2)){return val1.gt(val2);}
if(LF.f._AreSameType(val1,val2)){return val1>val2;}
return false;}
throw LF.formula.errorList.badArgCount;},GTE:function(val1,val2){LF.f._FixArguments(arguments,true);if(arguments.length===2){return(LF.f.GT(val1,val2)||LF.f.EQ(val1,val2));}
throw LF.formula.errorList.badArgCount;},LT:function(val1,val2){LF.f._FixArguments(arguments,true);if(arguments.length===2){return!LF.f.GTE(val1,val2);}
throw LF.formula.errorList.badArgCount;},LTE:function(val1,val2){LF.f._FixArguments(arguments,true);if(arguments.length===2){return!LF.f.GT(val1,val2);}
throw LF.formula.errorList.badArgCount;},EQ:function(val1,val2){LF.f._FixArguments(arguments,true);if(arguments.length===2){if(LF.f._IsBigNumber(val1)&&LF.f._IsBigNumber(val2)){return val1.eq(val2);}
else if(LF.f._IsArray(val1)&&LF.f._IsArray(val2)){if(val1.length!==val2.length)
return false;for(var i=0;i=1&&code.toNumber()<=255){return String.fromCharCode(code.toNumber());}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},CODE:function(char){LF.f._FixArguments(arguments);if(arguments.length===1&&char!==undefined){if(LF.f._IsString(char)&&char!==""){return new LF.f._BN(char.charCodeAt(0));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.badArgCount;},EXACT:function(var1,var2){LF.f._FixArguments(arguments);if(arguments.length===2&&var1!==undefined&&var2!==undefined){if(LF.f._IsArray(var1)&&LF.f._IsArray(var2)){return LF.f._ToString(var1[0])===LF.f._ToString(var2[0]);}
return LF.f._ToString(var1)===LF.f._ToString(var2);}
throw LF.formula.errorList.badArgCount;},FIND:function(search,text,startIndex){LF.f._FixArguments(arguments);if(arguments.length!==2&&arguments.length!==3){throw LF.formula.errorList.badArgCount;}
if(startIndex===undefined){startIndex=LF.f._BN(1);}
if(!LF.f._IsBigNumber(startIndex)){throw LF.formula.errorList.notNumber;}
if(!LF.f._IsString(search)||!LF.f._IsString(text)||startIndex.lt(1)){throw LF.formula.errorList.badArgValue;}
var findIndex=text.indexOf(search,startIndex-1);if(findIndex===-1){throw LF.formula.errorList.badArgValue;}
return LF.f._BN(findIndex).plus(1);},CONCATENATE:function(){LF.f._FixArguments(arguments);var resultString="";_.forEach(arguments,function(arg){resultString+=LF.f._ToString(arg);});return resultString;},INDEX:function(ref,rows){var columns=null;LF.f._FixArguments(arguments);if(LF.f._IsBigNumber(rows)){rows=LF.f._TruncateNumber(rows)}
if(columns){if(LF.f._IsBigNumber(columns)){columns=LF.f._TruncateNumber(columns);}}
if(rows<1||(columns&&columns<1)){throw LF.formula.errorList.outOfRange;}
return columns?ref[rows-1][columns-1]:ref[rows-1];},ROW:function(){LF.f._FixArguments(arguments);var resultString=0;if(LF.formula.popfield){var field=LF.formula.popfield.attr("id");var f=field.indexOf("(");if(f!=-1){resultString=field.substring(f+1,field.indexOf(")"));}}
return LF.f._BN(resultString);},COLUMN:function(){LF.f._FixArguments(arguments);var resultString=0;if(LF.formula.popfield){var coltype=LF.formula.popfield.closest('.cf-collection,.cf-table');if(coltype.length){if(coltype.hasClass('cf-table')){var t=LF.formula.popfield.closest('[data-col]');resultString=t.parent().find('[data-col]').index(t)+1;}
else{resultString=LF.formula.popfield.closest('li').index()+1;}}}
return LF.f._BN(resultString);},LEN:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){if(LF.f._IsBigNumber(text)||LF.f._IsString(text)){return new LF.f._BN((LF.f._ToString(text).length));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.badArgCount;},FIXED:function(number,decimals,no_commas){LF.f._FixArguments(arguments,true);if(arguments.length<1||arguments.length>3||number===undefined){throw LF.formula.errorList.badArgCount;}
if(decimals===undefined){decimals=LF.f._BN(2);}
if(no_commas===undefined){no_commas=false;}
if(!LF.f._IsBigNumber(number)||!LF.f._IsBigNumber(decimals)){throw LF.formula.errorList.notNumber;}
if(!LF.f._IsBoolean(no_commas)){throw LF.formula.errorList.notLogical;}
if(decimals.gt(0)){number=number.toFixed(decimals);}
else{number=math.round(number.times(math.pow(10,decimals))).div(math.pow(10,decimals)).toFixed();}
var numberPieces=number.split(LF.number.decimalChar);if(!no_commas){numberPieces[0]=LF.number.addThousandsSeparators(numberPieces[0]);}
if(numberPieces.length>2){throw LF.formula.errorList.unexpectedError;}
number=numberPieces.length===2?numberPieces[0]+LF.number.decimalChar+numberPieces[1]:numberPieces[0];return number;},LEFT:function(text,length){LF.f._FixArguments(arguments,true);if((arguments.length===1||arguments.length===2)&&text!==undefined){if(LF.f._IsBigNumber(length)||length===undefined){if(length===undefined){length=LF.f._BN(1);}
length=LF.f._TruncateNumber(length);if(LF.f._IsString(text)&&(length>=0)){return text.substring(0,length);}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},RIGHT:function(text,length){LF.f._FixArguments(arguments,true);if((arguments.length===1||arguments.length===2)&&text!==undefined){if(LF.f._IsBigNumber(length)||length===undefined){if(length===undefined){length=1;}
if(LF.f._IsString(text)&&(length.gte(0))){return text.substring(text.length-Math.floor(length.toNumber()));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},LOWER:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){return LF.f._ToString(text).toLowerCase();}
throw LF.formula.errorList.badArgCount;},UPPER:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){return LF.f._ToString(text).toUpperCase();}
throw LF.formula.errorList.badArgCount;},_IsAlpha:function(char){return(char.length===1&&(char).match(/^[a-zA-Z]/)!==null);},_ToUpper:function(char){if(LF.f._IsAlpha(char)){return char.toUpperCase();}
else{return LF.f._ToString(char);}},_ToLower:function(char){if(LF.f._IsAlpha(char)){return char.toLowerCase();}
else{return LF.f._ToString(char);}},PROPER:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){text=LF.f._ToString(text);if(text.length){var k=0;text=LF.f.REPLACE(text,LF.f._BN(k).plus(1),LF.f._BN(1),LF.f.UPPER(text[k]));for(k=1;k=0){return new Array(Number(count|0)+1).join(LF.f._ToString(text));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},SPLIT:function(text,splitString){LF.f._FixArguments(arguments);if(arguments.length!==2){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsString(text)||!LF.f._IsString(splitString)||splitString===""){throw LF.formula.errorList.badArgValue;}
return _.filter(text.split(splitString),function(ele){return ele!=="";});},JOIN:function(separator,array){LF.f._FixArguments(arguments);if(arguments.length!==2){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsArray(array)||!LF.f._IsString(separator)){throw LF.formula.errorList.badArgValue;}
_.forEach(array,function(value,index,inArray){inArray[index]=LF.f._ToString(value);});return array.join(separator);},MID:function(text,start,length){LF.f._FixArguments(arguments,true);if(arguments.length===3&&text!==undefined){if(LF.f._IsBigNumber(start)&&LF.f._IsBigNumber(length)){start=LF.f._TruncateNumber(start);length=LF.f._TruncateNumber(length);if(start>=1&&length>=0){return LF.f._ToString(text).substring(start-1,start-1+Number(length));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},REPLACE:function(text,start,count,newText){LF.f._FixArguments(arguments,true);if(arguments.length===4&&text!==undefined&&newText!==undefined){if(LF.f._IsBigNumber(start)&&LF.f._IsBigNumber(count)){if(start>=1){return LF.f._ToString(text).substring(0,Number(start|0)-1)+LF.f._ToString(newText)+LF.f._ToString(text).substring(Number(start|0)-1+Number(count|0));}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},TEXT:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){return(LF.f._ToString(text));}
throw LF.formula.errorList.badArgCount;},T:function(text){LF.f._FixArguments(arguments);if(arguments.length===1&&text!==undefined){if(LF.f._IsString(text)){return text;}
else{return"";}}
throw LF.formula.errorList.badArgCount;},SUBSTITUTE:function(text,oldText,newText,whichOccurrence){LF.f._FixArguments(arguments);if(arguments.length!==3&&arguments.length!==4){throw LF.formula.errorList.badArgCount;}
var textString=LF.f._ToString(text);var oldString=LF.f._ToString(oldText);var newString=LF.f._ToString(newText);if(!LF.f._IsBigNumber(whichOccurrence)&&typeof whichOccurrence!==typeof undefined){throw LF.formula.errorList.notNumber;}
if(oldString===""){return textString;}
if(typeof whichOccurrence===typeof undefined){return textString.replace(new RegExp(oldString,'g'),newString);}
if(whichOccurrence.lt(1)){throw LF.formula.errorList.badArgValue;}
var textPieces=textString.split(oldString);var tmpPieces=[];_.forEach(textPieces,function(piece,index,array){tmpPieces.push(piece);if(index-1){text=text.replace("$","");}
if(text.indexOf(",")>-1){text=text.replace(/,/g,"");}
if(text.charAt(text.length-1)=='%'){text=text.slice(0,-1);return LF.f._BN(text).div(100);}
else{return LF.f._BN(text);}}
else if(re3.test(text)){var stringList=text.split(' ');result=0;for(var s in stringList){if(stringList[s].indexOf('/')>-1){var fracArr=stringList[s].split('/');result+=parseFloat(fracArr[0])/parseFloat(fracArr[1]);}
else{result+=Math.abs(parseFloat(stringList[s]));}}
if(text.charAt(0)=='-'){result=-result;}
return LF.f._BN(result.toPrecision(15));}
else if(dateTimeRe.test(text)||ISOdateTimeRe.test(text)){var datetime=moment(text,LF.f._DateTimeFormat);if(!datetime.isValid()){return null;}
else{return LF.f._DateToSerialNumber(datetime);}}
else if(alphabeticDateTimeRe.test(text)){var datetime=moment(text,LF.f._AlphabeticDateTimeFormat,true);if(!datetime.isValid()){return null;}
else{return LF.f._DateToSerialNumber(datetime);}}
else if(timeRe.test(text)){if(/PM/i.test(text)){result=LF.f._BN(0.5);}
if(/PM|AM/i.test(text)){text=text.replace(/PM|AM/i,"").trim();if(LF.f._IsBigNumber(LF.f._FilterFloat(text))){return result.plus(LF.f._DurationToSerialNumber(moment.duration(LF.f._FilterFloat(text).toNumber()%12,"hours")));}
else{var duration=moment.duration(text);if(duration.hours>12){duration.hours=duration.hours-12}
return result.plus(LF.f._DurationToSerialNumber(duration).mod(LF.f._BN(0.5)));}}
else{return LF.f._DurationToSerialNumber(moment.duration(text));}}
else{return null;}},VALUE:function(text){LF.f._FixArguments(arguments,false,true);if(arguments.length===1&&text!==undefined){if(text===""){return LF.f._BN(0);}
var result=LF.f._parseValue(text);if(result==null){throw LF.formula.errorList.badArgValue;}
return result;}
throw LF.formula.errorList.badArgCount;},_DateTimeFormat:[moment.ISO_8601,"M/D/YYYY","M-D-YYYY","M/D/YYYY h:m:s A","M-D-YYYY h:m:s A","M/D/YYYY h:m A","M-D-YYYY h:m A","M/D/YYYY h A","M-D-YYYY h A","M/D/YYYY H:m:s","M-D-YYYY H:m:s","M/D/YYYY H:m","M-D-YYYY H:m","YYYY/M/D","YYYY-M-D","YYYY/M/D h:m:s A","YYYY-M-D h:m:s A","YYYY/M/D h:m A","YYYY-M-D h:m A","YYYY/M/D h A","YYYY-M-D h A","YYYY/M/D H:m:ss","YYYY-M-D H:m:s","YYYY/M/D H:m","YYYY-M-D H:m",],_AlphabeticDateTimeFormat:["MMM D, YYYY","D MMM YYYY","MMMM D, YYYY","D MMMM YYYY","D MMM, YYYY","D MMMM, YYYY","MMM D, YYYY H:m:s","D MMM YYYY H:m:s","MMMM D, YYYY H:m:s","D MMMM YYYY H:m:s","D MMM, YYYY H:m:s","D MMMM, YYYY H:m:s","MMM D, YYYY H:m","D MMM YYYY H:m","MMMM D, YYYY H:m","D MMMM YYYY H:m","D MMM, YYYY H:m","D MMMM, YYYY H:m","MMM D, YYYY h:m:s A","D MMM YYYY h:m:s A","MMMM D, YYYY h:m:s A","D MMMM YYYY h:m:s A","D MMM, YYYY h:m:s A","D MMMM, YYYY h:m:s A","MMM D, YYYY h:m A","D MMM YYYY h:m A","MMMM D, YYYY h:m A","D MMMM YYYY h:m A","D MMM, YYYY h:m A","D MMMM, YYYY h:m A","MMM D, YYYY h A","D MMM YYYY h A","MMMM D, YYYY h A","D MMMM YYYY h A","D MMM, YYYY h A","D MMMM, YYYY h A",],_IsDate:function(value){return moment.isMoment(value)&&value.isValid();},_IsDateWithinRange:function(year,month,day){if(arguments.length===3&&LF.f._IsBigNumber(year)&&LF.f._IsBigNumber(month)&&LF.f._IsBigNumber(day)){return(year.gte(LF.formula.minDate)&&year.lte(LF.formula.maxDate)&&month.gte(1)&&day.gte(1)&&LF.f._IsInteger(year)&&LF.f._IsInteger(month)&&LF.f._IsInteger(day));}
return null;},_IsLeapYear:function(dateObj){if(arguments.length!==1||arguments[0]===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(dateObj)){dateObj=LF.f._DateToSerialNumber(LF.f._TryConvertToDate(dateObj));}
if(LF.f.YEAR(dateObj).lessThan(LF.formula.minDate)||LF.f.YEAR(dateObj).greaterThan(LF.formula.maxDate)){throw LF.formula.errorList.badArgValue;}
return moment([LF.f.YEAR(dateObj).toNumber()]).isLeapYear();},_TruncateDate:function(dateObj){if(!LF.f._IsDate(dateObj)){dateObj=LF.f._TryConvertToDate(dateObj);}
dateObj=LF.f._DateToSerialNumber(dateObj);return new moment([LF.f.YEAR(dateObj),LF.f.MONTH(dateObj).minus(1),LF.f.DAY(dateObj)]);},_IsLastDayOfFebruary:function(dateObj){if(!LF.f._IsDate(dateObj)){dateObj=LF.f._DateToSerialNumber(LF.f._TryConvertToDate(dateObj));}
return(LF.f.MONTH(dateObj).toNumber()===2&&((LF.f.DAY(dateObj).toNumber()===28&&LF.f._IsLeapYear(dateObj))||(LF.f.DAY(dateObj).toNumber()===29&&LF.f._IsLeapYear(dateObj))));},_DayCount:function(date1,date2,basis){if(arguments.length===3){date1=LF.f._TruncateDate(date1);date2=LF.f._TruncateDate(date2);if(date1===date2){return LF.f._BN(0);}
else if(date1>date2){var temp=date2;date2=date1;date1=temp;}
var days1=LF.f.DAY(LF.f._DateToSerialNumber(date1));var days2=LF.f.DAY(LF.f._DateToSerialNumber(date2));switch(basis.toNumber()){case 0:if(days1.toNumber()===31){days1=days1.minus(1);}
if(days1.toNumber()===30&&days2.toNumber()===31){days2=days2.minus(1);}
if(LF.f._IsLastDayOfFebruary(date1)&&LF.f._IsLastDayOfFebruary(date2)){days2=LF.f._BN(30);}
if(LF.f._IsLastDayOfFebruary(date1)){days1=LF.f._BN(30);}
return LF.f._BN(LF.f.YEAR(LF.f._DateToSerialNumber(date2))).times(360).plus(LF.f._BN(LF.f.MONTH(LF.f._DateToSerialNumber(date2))).times(30)).plus(LF.f._BN(days2)).minus(LF.f._BN(LF.f.YEAR(LF.f._DateToSerialNumber(date1))).times(360).plus(LF.f._BN(LF.f.MONTH(LF.f._DateToSerialNumber(date1))).times(30)).plus(LF.f._BN(days1)));case 1:case 2:case 3:return LF.f._BN(Math.round(LF.f.SUB(LF.f._DateToSerialNumber(date2),LF.f._DateToSerialNumber(date1))));case 4:return LF.f._BN(LF.f.DAYS360(LF.f._DateToSerialNumber(date1),LF.f._DateToSerialNumber(date2),LF.f._BN(1)));default:throw LF.formula.errorList.badArgValue;}}},_DoesContainFeb29:function(startDate,endDate){if(startDate>endDate){var temp=endDate;endDate=startDate;startDate=temp;}
var leapYear=LF.f.FLOOR(LF.f.YEAR(endDate),LF.f._BN(4));if(!LF.f._IsLeapYear(new Date(leapYear.toNumber(),0,1))){leapYear=leapYear.minus(4);}
return((LF.f.SUB(endDate,new Date(leapYear.toNumber(),1,29)).gte(0)&&((LF.f.SUB(new Date(leapYear,1,29),startDate)).gte(0))));},_AverageDaysPerYear:function(date1,date2){if(arguments.length===2){if(!LF.f._IsDate(date1)||!LF.f._IsDate(date2)){date1=LF.f._TryConvertToDate(date1);date2=LF.f._TryConvertToDate(date2);}
var excess=0;if(!(LF.f.YEAR(date2)-LF.f.YEAR(date1))){return LF.f._BN(365+moment([LF.f.YEAR(date1)]).isLeapYear());}
for(var k=LF.f.YEAR(date1);k<=LF.f.YEAR(date2);k++){excess+=moment([k]).isLeapYear();}
return LF.f._BN(365).times((LF.f.YEAR(date2).minus(LF.f.YEAR(date1)).plus(1))).plus(excess).div(((LF.f.YEAR(date2).minus(LF.f.YEAR(date1)).plus(1))));}
throw LF.formula.errorList.badArgCount;},_DaysInYear:function(date1,date2,basis){switch(basis.toNumber()){case 0:return LF.f._BN(360);case 1:var condition1=(LF.f.YEAR(date1)!==LF.f.YEAR(date2));var condition2=(LF.f.YEAR(date2)!==(LF.f.YEAR(date1)+1));var condition3=(LF.f.MONTH(date1)LF.formula.maxDate){throw LF.formula.errorList.badArgValue;}
return LF.f._DateToSerialNumber(retDate);}
throw LF.formula.errorList.notNumber;}
throw LF.formula.errorList.badArgCount;},YEAR:function(value){LF.f._FixArguments(arguments);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(value)){value=LF.f._TryConvertToDate(value);}
return LF.f._BN(value.get('year'));},MONTH:function(value){LF.f._FixArguments(arguments);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(value)){value=LF.f._TryConvertToDate(value);}
return LF.f._BN(value.get('month')+1);},DAY:function(value){LF.f._FixArguments(arguments);if(arguments.length!==1||value===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(value)){value=LF.f._TryConvertToDate(value);}
return LF.f._BN(value.get('date'));},TODAY:function(){LF.f._FixArguments(arguments);if((arguments.length===1&&arguments[0]===undefined)||!arguments.length){var today=moment().utcOffset(processUtcOffset).startOf('day');return LF.f._DateToSerialNumber(today);}
throw LF.formula.errorList.badArgCount;},DAYS360:function(startDate,endDate,mode){LF.f._FixArguments(arguments);if((arguments.length===2||arguments.length===3)){if(!LF.f._IsDate(startDate)||!LF.f._IsDate(endDate)){startDate=LF.f._TryConvertToDate(startDate);endDate=LF.f._TryConvertToDate(endDate);}
var sign=LF.f._BN(1);if(arguments.length===2){mode=LF.f._BN(0);}
else if(!LF.f._IsBigNumber(mode)){throw LF.formula.errorList.badArgValue;}
else if(mode.toNumber()<0||mode.toNumber()>1){throw LF.formula.errorList.badArgValue;}
if(mode.toNumber()===1&&endDate=LF.formula.minParseDate){if(date.trim().split('-')[0].length>4){throw LF.formula.errorList.badArgValue;}
return LF.f._DateToSerialNumber(parsedDate);}}
throw LF.formula.errorList.badArgValue;}
throw LF.formula.errorList.badArgCount;},WORKDAY:function(date,offset,holidays,workDays){LF.f._FixArguments(arguments,true);if(arguments.length>=2&&arguments.length<=4){if(holidays===undefined){holidays=[];}
if(workDays===undefined){workDays=[LF.f._BN(1),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(1)];}
if(LF.f._CheckWorkDay(holidays,workDays)){if(!LF.f._IsDate(date)){date=LF.f._TryConvertToDate(date);}
if(!LF.f._IsBigNumber(offset)){throw LF.formula.errorList.notNumber;}
if(!(offset.toNumber())){return LF.f._DateToSerialNumber(date);}
var sign=offset.greaterThan(0)?LF.f._BN(1):LF.f._BN(-1);holidays=_.uniq(holidays);var dayOfWeek=date;while(Math.abs(offset.toNumber())>0){dayOfWeek=dayOfWeek.add('days',sign.toNumber());if(workDays[dayOfWeek.day()].toNumber()===0){_.forEach(holidays,function(n){if(n.eq(LF.f._DateToSerialNumber(dayOfWeek))){offset=offset.plus(sign);}});offset=offset.minus(sign);}}
return LF.f._DateToSerialNumber(dayOfWeek);}
else{throw LF.formula.errorList.unexpectedError;}}
throw LF.formula.errorList.badArgCount;},NETWORKDAYS:function(date1,date2,holidays,workDays){LF.f._FixArguments(arguments);if(arguments.length>=2&&arguments.length<=4){if(workDays===undefined){workDays=[LF.f._BN(1),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(0),LF.f._BN(1)];}
if(holidays===undefined){holidays=[];}
if(!LF.f._IsDate(date1)||!LF.f._IsDate(date2)){date1=LF.f._TryConvertToDate(date1);date2=LF.f._TryConvertToDate(date2);}
var date1Later=date1>date2;if(date1Later){var temp=date1;date1=date2;date2=temp;}
if(LF.f._CheckWorkDay(holidays,workDays)){var offset=LF.f._BN(0);var dayOfWeek=date1;while(date2.valueOf()>=dayOfWeek.valueOf()){if(workDays[dayOfWeek.day()].toNumber()===0){_.forEach(holidays,function(n){if(n.eq(LF.f._DateToSerialNumber(dayOfWeek))){offset=offset.minus(1);}});offset=offset.plus(1);}
dayOfWeek=dayOfWeek.add('days',1);}
return date1Later?offset.neg():offset;}
else{throw LF.formula.errorList.unexpectedError;}}
throw LF.formula.errorList.badArgCount;},WEEKNUM:function(date,mode){LF.f._FixArguments(arguments);if(mode===undefined){mode=LF.f._BN(1);}
if(arguments.length!==2&&arguments.length!==1||date===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(date)){date=LF.f._TryConvertToDate(date);}
if(!LF.f._IsBigNumber(mode)){throw LF.formula.errorList.notNumber;}
var previousDoW=moment().lang()._week.dow;switch(mode.toNumber()){case 1:case 17:moment().lang()._week.dow=0;break;case 2:case 11:moment().lang()._week.dow=1;break;case 12:moment().lang()._week.dow=2;break;case 13:moment().lang()._week.dow=3;break;case 14:moment().lang()._week.dow=4;break;case 15:moment().lang()._week.dow=5;break;case 16:moment().lang()._week.dow=6;break;case 21:case 150:return LF.f._BN(moment(date).isoWeek());default:throw LF.formula.errorList.badArgValue;}
var weekNum=LF.f._BN(moment(date).week());moment().lang()._week.dow=previousDoW;return weekNum;},WEEKDAY:function(date,type){LF.f._FixArguments(arguments);if(type===undefined||type==""){type=LF.f._BN(1);}
type=type.floor();if(arguments.length!==2&&arguments.length!==1||date===undefined){throw LF.formula.errorList.badArgCount;}
if(!LF.f._IsDate(date)){date=LF.f._TryConvertToDate(LF.f._IsBigNumber(date)?date:LF.f._parseValue(date));}
if(!LF.f._IsBigNumber(type)){throw LF.formula.errorList.notNumber;}
var weekDay=moment(date).day();switch(type.toNumber()){case 1:weekDay=weekDay+1;break;case 2:if(weekDay==0){weekDay=7;}
break;case 3:weekDay=(weekDay+6)%7;break;default:throw LF.formula.errorList.badArgValue;}
return LF.f._BN(weekDay);},DATEDIF:function(start_date,end_date,unit){LF.f._FixArguments(arguments);if(arguments.length===3){var startMoment=LF.f._TryConvertToDate(start_date);var endMoment=LF.f._TryConvertToDate(end_date);if(!LF.f._IsString(unit)){throw LF.formula.errorList.badArgValue;}
if(!startMoment.isValid()||!endMoment.isValid()){throw LF.formula.errorList.notDate;}
switch(unit.toUpperCase()){case"Y":return LF.f._BN(endMoment.diff(startMoment,'years'));break;case"M":return LF.f._BN(endMoment.diff(startMoment,'months'));break;case"D":return LF.f._BN(endMoment.diff(startMoment,'days'));break;case"MD":endMoment.month(startMoment.month());endMoment.year(startMoment.year());return LF.f._BN(endMoment.diff(startMoment,'days'));break;case"YM":endMoment.date(startMoment.date());endMoment.year(startMoment.year());return LF.f._BN(endMoment.diff(startMoment,'months'));break;case"YD":endMoment.year(startMoment.year());return LF.f._BN(endMoment.diff(startMoment,'days'));break;default:throw LF.formula.errorList.badArgValue;}}
throw LF.formula.errorList.badArgCount}}
var localize=localize||function(){return"";};LF.formula={jsonFormulas:'',errorList:{lessThanMin:{message:localize('ERR_VALUE_LESS_THAN_MIN')},greaterThanMax:{message:localize('ERR_VALUE_GREATER_THAN_MAX')},notNumber:{tag:"#!NUM"},notDate:{tag:"#!DATE"},badArgCount:{tag:"#ARGS"},divByZero:{tag:"#DIV/0"},unexpectedError:{tag:"#UNKNOWN"},badArgValue:{tag:"#VALUE"},outOfRange:{tag:"#INDEX"},notInteger:{tag:"#!INT"},notLogical:{tag:"#!LOGICAL"},},errorCount:0,warningList:{warningCalc:{message:localize('WRN_FORMULA_CALC_ERR')},formulaRefFields:{message:localize('WRN_FORMULA_REFERENCE_FIELDS')}},compareFormulas:function(a,b){if(a.orderb.order){return 1;}
else{return 0;}},fixFloatError:function(value){return parseFloat((value).toPrecision(15));},isNumber:function(value){return typeof value==="number"&&!isNaN(value);},isNumberString:function(value){return!isNaN(parseFloat(value))&&isFinite(value)&&!Array.isArray(value);},isString:function(value){return typeof value==="string";},containsDate:function(value){var date=new Date(value);if(Object.prototype.toString.call(date)==='[object Date]'){return isNaN(date.getTime())?false:true;}
else{return false;}},getDateFormat:function(fieldId){if(!jsonForm||!jsonForm.fields){return null;}
var index=_.findIndex(jsonForm.fields,function(n){return(n.fieldId===fieldId);});if(index!==-1){return jsonForm.fields[index].format;}},insertValueInField:function(value,populatedField){var fieldValue="";var dateFormat=populatedField.attr('momentpattern');if(typeof dateFormat!==typeof undefined&&dateFormat!==false){fieldValue=LF.f._TryGetFormattedDate(value==''?0:value,dateFormat);}
else if(value==''&&populatedField.hasClass('number')){fieldValue="0";}
else{fieldValue=LF.f._ToString(value);}
var maxLength=populatedField.attr("maxlength");if(typeof maxLength!==typeof undefined&&maxLength!==false){fieldValue=fieldValue.substring(0,Number(maxLength));}
populatedField.val(fieldValue);},concatArgs:function(inputArguments){return _.flatten(inputArguments);},init:function(jsonForm){if(jsonForm&&jsonForm.formulas&&jsonForm.calculateFormulas){$("input[type='submit']").on('click',function(){LF.formula.displayLoadErrorMessages();});this.jsonFormulas=jsonForm.formulas.sort(this.compareFormulas);for(var i=0;i-1;}
triggerFields.on('updateFormula',function(e,isStartEvent){LF.formula.updateField(updateFieldId,isStartEvent);});if(isCheckboxOrRadio){triggerFields.on('click',function(e,isStartEvent){LF.formula.updateField(updateFieldId,isStartEvent);});var otherCheck=$("[id='Field"+triggerFieldId+"_other']");var otherValue=$("[id='Field"+triggerFieldId+"_other_value']");if(otherCheck.length===0){otherCheck=$("[id^='Field"+triggerFieldId+"('][id$=')_other']");otherValue=$("[id^='Field"+triggerFieldId+"('][id$=')_other_value']");}
if(otherCheck.length!==0){otherCheck.on('click',function(e,isStartEvent){LF.formula.updateField(updateFieldId,isStartEvent);});otherValue.on('change',function(e,isStartEvent){LF.formula.updateField(updateFieldId,isStartEvent);});}}
else{triggerFields.on('change',function(e,isStartEvent){LF.formula.updateField(updateFieldId,isStartEvent);});}},setTriggerCollectionField:function(triggerFieldId){for(var i=0;i"+referenceFieldsString;}
var errmsg="