lib/math-trig.js
var utils = require('./utils/common');
var error = require('./utils/error');
var statistical = require('./statistical');
var information = require('./information');
var evalExpression = require('./utils/criteria-eval');
exports.ABS = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.abs(number);
return result;
};
exports.ACOS = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.acos(number);
if (isNaN(result)) {
result = error.num;
}
return result;
};
exports.ACOSH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.log(number + Math.sqrt(number * number - 1));
if (isNaN(result)) {
result = error.num;
}
return result;
};
exports.ACOT = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.atan(1 / number);
return result;
};
exports.ACOTH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = 0.5 * Math.log((number + 1) / (number - 1));
if (isNaN(result)) {
result = error.num;
}
return result;
};
//TODO: use options
exports.AGGREGATE = function(function_num, options, ref1, ref2) {
function_num = utils.parseNumber(function_num);
options = utils.parseNumber(function_num);
if (utils.anyIsError(function_num, options)) {
return error.value;
}
switch (function_num) {
case 1:
return statistical.AVERAGE(ref1);
case 2:
return statistical.COUNT(ref1);
case 3:
return statistical.COUNTA(ref1);
case 4:
return statistical.MAX(ref1);
case 5:
return statistical.MIN(ref1);
case 6:
return exports.PRODUCT(ref1);
case 7:
return statistical.STDEV.S(ref1);
case 8:
return statistical.STDEV.P(ref1);
case 9:
return exports.SUM(ref1);
case 10:
return statistical.VAR.S(ref1);
case 11:
return statistical.VAR.P(ref1);
case 12:
return statistical.MEDIAN(ref1);
case 13:
return statistical.MODE.SNGL(ref1);
case 14:
return statistical.LARGE(ref1, ref2);
case 15:
return statistical.SMALL(ref1, ref2);
case 16:
return statistical.PERCENTILE.INC(ref1, ref2);
case 17:
return statistical.QUARTILE.INC(ref1, ref2);
case 18:
return statistical.PERCENTILE.EXC(ref1, ref2);
case 19:
return statistical.QUARTILE.EXC(ref1, ref2);
}
};
exports.ARABIC = function(text) {
// Credits: Rafa? Kukawski
if (!/^M*(?:D?C{0,3}|C[MD])(?:L?X{0,3}|X[CL])(?:V?I{0,3}|I[XV])$/.test(text)) {
return error.value;
}
var r = 0;
text.replace(/[MDLV]|C[MD]?|X[CL]?|I[XV]?/g, function(i) {
r += {
M: 1000,
CM: 900,
D: 500,
CD: 400,
C: 100,
XC: 90,
L: 50,
XL: 40,
X: 10,
IX: 9,
V: 5,
IV: 4,
I: 1
}[i];
});
return r;
};
exports.ASIN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.asin(number);
if (isNaN(result)) {
result = error.num;
}
return result;
};
exports.ASINH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.log(number + Math.sqrt(number * number + 1));
};
exports.ATAN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.atan(number);
};
exports.ATAN2 = function(number_x, number_y) {
number_x = utils.parseNumber(number_x);
number_y = utils.parseNumber(number_y);
if (utils.anyIsError(number_x, number_y)) {
return error.value;
}
return Math.atan2(number_x, number_y);
};
exports.ATANH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var result = Math.log((1 + number) / (1 - number)) / 2;
if (isNaN(result)) {
result = error.num;
}
return result;
};
exports.BASE = function(number, radix, min_length) {
min_length = min_length || 0;
number = utils.parseNumber(number);
radix = utils.parseNumber(radix);
min_length = utils.parseNumber(min_length);
if (utils.anyIsError(number, radix, min_length)) {
return error.value;
}
min_length = (min_length === undefined) ? 0 : min_length;
var result = number.toString(radix);
return new Array(Math.max(min_length + 1 - result.length, 0)).join('0') + result;
};
exports.CEILING = function(number, significance, mode) {
significance = (significance === undefined) ? 1 : Math.abs(significance);
mode = mode || 0;
number = utils.parseNumber(number);
significance = utils.parseNumber(significance);
mode = utils.parseNumber(mode);
if (utils.anyIsError(number, significance, mode)) {
return error.value;
}
if (significance === 0) {
return 0;
}
var precision = -Math.floor(Math.log(significance) / Math.log(10));
if (number >= 0) {
return exports.ROUND(Math.ceil(number / significance) * significance, precision);
} else {
if (mode === 0) {
return -exports.ROUND(Math.floor(Math.abs(number) / significance) * significance, precision);
} else {
return -exports.ROUND(Math.ceil(Math.abs(number) / significance) * significance, precision);
}
}
};
exports.CEILING.MATH = exports.CEILING;
exports.CEILING.PRECISE = exports.CEILING;
exports.COMBIN = function(number, number_chosen) {
number = utils.parseNumber(number);
number_chosen = utils.parseNumber(number_chosen);
if (utils.anyIsError(number, number_chosen)) {
return error.value;
}
return exports.FACT(number) / (exports.FACT(number_chosen) * exports.FACT(number - number_chosen));
};
exports.COMBINA = function(number, number_chosen) {
number = utils.parseNumber(number);
number_chosen = utils.parseNumber(number_chosen);
if (utils.anyIsError(number, number_chosen)) {
return error.value;
}
return (number === 0 && number_chosen === 0) ? 1 : exports.COMBIN(number + number_chosen - 1, number - 1);
};
exports.COS = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.cos(number);
};
exports.COSH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return (Math.exp(number) + Math.exp(-number)) / 2;
};
exports.COT = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return 1 / Math.tan(number);
};
exports.COTH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var e2 = Math.exp(2 * number);
return (e2 + 1) / (e2 - 1);
};
exports.CSC = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return 1 / Math.sin(number);
};
exports.CSCH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return 2 / (Math.exp(number) - Math.exp(-number));
};
exports.DECIMAL = function(number, radix) {
if (arguments.length < 1) {
return error.value;
}
return parseInt(number, radix);
};
exports.DEGREES = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return number * 180 / Math.PI;
};
exports.EVEN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return exports.CEILING(number, -2, -1);
};
exports.EXP = function(number) {
if (arguments.length < 1) {
return error.na;
}
if (typeof number !== 'number' || arguments.length > 1) {
return error.error;
}
number = Math.exp(number);
return number;
};
var MEMOIZED_FACT = [];
exports.FACT = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var n = Math.floor(number);
if (n === 0 || n === 1) {
return 1;
} else if (MEMOIZED_FACT[n] > 0) {
return MEMOIZED_FACT[n];
} else {
MEMOIZED_FACT[n] = exports.FACT(n - 1) * n;
return MEMOIZED_FACT[n];
}
};
exports.FACTDOUBLE = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var n = Math.floor(number);
if (n <= 0) {
return 1;
} else {
return n * exports.FACTDOUBLE(n - 2);
}
};
exports.FLOOR = function(number, significance) {
number = utils.parseNumber(number);
significance = utils.parseNumber(significance);
if (utils.anyIsError(number, significance)) {
return error.value;
}
if (significance === 0) {
return 0;
}
if (!(number > 0 && significance > 0) && !(number < 0 && significance < 0)) {
return error.num;
}
significance = Math.abs(significance);
var precision = -Math.floor(Math.log(significance) / Math.log(10));
if (number >= 0) {
return exports.ROUND(Math.floor(number / significance) * significance, precision);
} else {
return -exports.ROUND(Math.ceil(Math.abs(number) / significance), precision);
}
};
//TODO: Verify
exports.FLOOR.MATH = function(number, significance, mode) {
significance = (significance === undefined) ? 1 : significance;
mode = (mode === undefined) ? 0 : mode;
number = utils.parseNumber(number);
significance = utils.parseNumber(significance);
mode = utils.parseNumber(mode);
if (utils.anyIsError(number, significance, mode)) {
return error.value;
}
if (significance === 0) {
return 0;
}
significance = significance ? Math.abs(significance) : 1;
var precision = -Math.floor(Math.log(significance) / Math.log(10));
if (number >= 0) {
return exports.ROUND(Math.floor(number / significance) * significance, precision);
} else if (mode === 0 || mode === undefined) {
return -exports.ROUND(Math.ceil(Math.abs(number) / significance) * significance, precision);
}
return -exports.ROUND(Math.floor(Math.abs(number) / significance) * significance, precision);
};
// Deprecated
exports.FLOOR.PRECISE = exports.FLOOR.MATH;
// adapted http://rosettacode.org/wiki/Greatest_common_divisor#JavaScript
exports.GCD = function() {
var range = utils.parseNumberArray(utils.flatten(arguments));
if (range instanceof Error) {
return range;
}
var n = range.length;
var r0 = range[0];
var x = r0 < 0 ? -r0 : r0;
for (var i = 1; i < n; i++) {
var ri = range[i];
var y = ri < 0 ? -ri : ri;
while (x && y) {
if (x > y) {
x %= y;
} else {
y %= x;
}
}
x += y;
}
return x;
};
exports.INT = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.floor(number);
};
//TODO: verify
exports.ISO = {
CEILING: exports.CEILING
};
exports.LCM = function() {
// Credits: Jonas Raoni Soares Silva
var o = utils.parseNumberArray(utils.flatten(arguments));
if (o instanceof Error) {
return o;
}
for (var i, j, n, d, r = 1;
(n = o.pop()) !== undefined;) {
while (n > 1) {
if (n % 2) {
for (i = 3, j = Math.floor(Math.sqrt(n)); i <= j && n % i; i += 2) {
//empty
}
d = (i <= j) ? i : n;
} else {
d = 2;
}
for (n /= d, r *= d, i = o.length; i;
(o[--i] % d) === 0 && (o[i] /= d) === 1 && o.splice(i, 1)) {
//empty
}
}
}
return r;
};
exports.LN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.log(number);
};
exports.LN10 = function() {
return Math.log(10);
};
exports.LN2 = function() {
return Math.log(2);
};
exports.LOG10E = function() {
return Math.LOG10E;
};
exports.LOG2E = function() {
return Math.LOG2E;
};
exports.LOG = function(number, base) {
number = utils.parseNumber(number);
base = utils.parseNumber(base);
if (utils.anyIsError(number, base)) {
return error.value;
}
base = (base === undefined) ? 10 : base;
return Math.log(number) / Math.log(base);
};
exports.LOG10 = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.log(number) / Math.log(10);
};
exports.MOD = function(dividend, divisor) {
dividend = utils.parseNumber(dividend);
divisor = utils.parseNumber(divisor);
if (utils.anyIsError(dividend, divisor)) {
return error.value;
}
if (divisor === 0) {
return error.div0;
}
var modulus = Math.abs(dividend % divisor);
return (divisor > 0) ? modulus : -modulus;
};
exports.MROUND = function(number, multiple) {
number = utils.parseNumber(number);
multiple = utils.parseNumber(multiple);
if (utils.anyIsError(number, multiple)) {
return error.value;
}
if (number * multiple < 0) {
return error.num;
}
return Math.round(number / multiple) * multiple;
};
exports.MULTINOMIAL = function() {
var args = utils.parseNumberArray(utils.flatten(arguments));
if (args instanceof Error) {
return args;
}
var sum = 0;
var divisor = 1;
for (var i = 0; i < args.length; i++) {
sum += args[i];
divisor *= exports.FACT(args[i]);
}
return exports.FACT(sum) / divisor;
};
exports.ODD = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var temp = Math.ceil(Math.abs(number));
temp = (temp & 1) ? temp : temp + 1;
return (number > 0) ? temp : -temp;
};
exports.PI = function() {
return Math.PI;
};
exports.E = function() {
return Math.E;
};
exports.POWER = function(number, power) {
number = utils.parseNumber(number);
power = utils.parseNumber(power);
if (utils.anyIsError(number, power)) {
return error.value;
}
var result = Math.pow(number, power);
if (isNaN(result)) {
return error.num;
}
return result;
};
exports.PRODUCT = function() {
var args = utils.parseNumberArray(utils.flatten(arguments));
if (args instanceof Error) {
return args;
}
var result = 1;
for (var i = 0; i < args.length; i++) {
result *= args[i];
}
return result;
};
exports.QUOTIENT = function(numerator, denominator) {
numerator = utils.parseNumber(numerator);
denominator = utils.parseNumber(denominator);
if (utils.anyIsError(numerator, denominator)) {
return error.value;
}
return parseInt(numerator / denominator, 10);
};
exports.RADIANS = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return number * Math.PI / 180;
};
exports.RAND = function() {
return Math.random();
};
exports.RANDBETWEEN = function(bottom, top) {
bottom = utils.parseNumber(bottom);
top = utils.parseNumber(top);
if (utils.anyIsError(bottom, top)) {
return error.value;
}
// Creative Commons Attribution 3.0 License
// Copyright (c) 2012 eqcode
return bottom + Math.ceil((top - bottom + 1) * Math.random()) - 1;
};
// TODO
exports.ROMAN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
// The MIT License
// Copyright (c) 2008 Steven Levithan
var digits = String(number).split('');
var key = ['', 'C', 'CC', 'CCC', 'CD', 'D', 'DC', 'DCC', 'DCCC', 'CM', '', 'X', 'XX', 'XXX', 'XL', 'L', 'LX', 'LXX', 'LXXX', 'XC', '', 'I', 'II', 'III', 'IV', 'V', 'VI', 'VII', 'VIII', 'IX'];
var roman = '';
var i = 3;
while (i--) {
roman = (key[+digits.pop() + (i * 10)] || '') + roman;
}
return new Array(+digits.join('') + 1).join('M') + roman;
};
exports.ROUND = function(number, digits) {
number = utils.parseNumber(number);
digits = utils.parseNumber(digits);
if (utils.anyIsError(number, digits)) {
return error.value;
}
return Math.round(number * Math.pow(10, digits)) / Math.pow(10, digits);
};
exports.ROUNDDOWN = function(number, digits) {
number = utils.parseNumber(number);
digits = utils.parseNumber(digits);
if (utils.anyIsError(number, digits)) {
return error.value;
}
var sign = (number > 0) ? 1 : -1;
return sign * (Math.floor(Math.abs(number) * Math.pow(10, digits))) / Math.pow(10, digits);
};
exports.ROUNDUP = function(number, digits) {
number = utils.parseNumber(number);
digits = utils.parseNumber(digits);
if (utils.anyIsError(number, digits)) {
return error.value;
}
var sign = (number > 0) ? 1 : -1;
return sign * (Math.ceil(Math.abs(number) * Math.pow(10, digits))) / Math.pow(10, digits);
};
exports.SEC = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return 1 / Math.cos(number);
};
exports.SECH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return 2 / (Math.exp(number) + Math.exp(-number));
};
exports.SERIESSUM = function(x, n, m, coefficients) {
x = utils.parseNumber(x);
n = utils.parseNumber(n);
m = utils.parseNumber(m);
coefficients = utils.parseNumberArray(coefficients);
if (utils.anyIsError(x, n, m, coefficients)) {
return error.value;
}
var result = coefficients[0] * Math.pow(x, n);
for (var i = 1; i < coefficients.length; i++) {
result += coefficients[i] * Math.pow(x, n + i * m);
}
return result;
};
exports.SIGN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
if (number < 0) {
return -1;
} else if (number === 0) {
return 0;
} else {
return 1;
}
};
exports.SIN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.sin(number);
};
exports.SINH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return (Math.exp(number) - Math.exp(-number)) / 2;
};
exports.SQRT = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
if (number < 0) {
return error.num;
}
return Math.sqrt(number);
};
exports.SQRTPI = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.sqrt(number * Math.PI);
};
exports.SQRT1_2 = function() {
return 1 / Math.sqrt(2);
};
exports.SQRT2 = function() {
return Math.sqrt(2);
};
exports.SUBTOTAL = function(function_code, ref1) {
function_code = utils.parseNumber(function_code);
if (function_code instanceof Error) {
return function_code;
}
switch (function_code) {
case 1:
return statistical.AVERAGE(ref1);
case 2:
return statistical.COUNT(ref1);
case 3:
return statistical.COUNTA(ref1);
case 4:
return statistical.MAX(ref1);
case 5:
return statistical.MIN(ref1);
case 6:
return exports.PRODUCT(ref1);
case 7:
return statistical.STDEV.S(ref1);
case 8:
return statistical.STDEV.P(ref1);
case 9:
return exports.SUM(ref1);
case 10:
return statistical.VAR.S(ref1);
case 11:
return statistical.VAR.P(ref1);
// no hidden values for us
case 101:
return statistical.AVERAGE(ref1);
case 102:
return statistical.COUNT(ref1);
case 103:
return statistical.COUNTA(ref1);
case 104:
return statistical.MAX(ref1);
case 105:
return statistical.MIN(ref1);
case 106:
return exports.PRODUCT(ref1);
case 107:
return statistical.STDEV.S(ref1);
case 108:
return statistical.STDEV.P(ref1);
case 109:
return exports.SUM(ref1);
case 110:
return statistical.VAR.S(ref1);
case 111:
return statistical.VAR.P(ref1);
}
};
exports.ADD = function (num1, num2) {
if (arguments.length !== 2) {
return error.na;
}
num1 = utils.parseNumber(num1);
num2 = utils.parseNumber(num2);
if (utils.anyIsError(num1, num2)) {
return error.value;
}
return num1 + num2;
};
exports.MINUS = function (num1, num2) {
if (arguments.length !== 2) {
return error.na;
}
num1 = utils.parseNumber(num1);
num2 = utils.parseNumber(num2);
if (utils.anyIsError(num1, num2)) {
return error.value;
}
return num1 - num2;
};
exports.DIVIDE = function (dividend, divisor) {
if (arguments.length !== 2) {
return error.na;
}
dividend = utils.parseNumber(dividend);
divisor = utils.parseNumber(divisor);
if (utils.anyIsError(dividend, divisor)) {
return error.value;
}
if (divisor === 0) {
return error.div0;
}
return dividend / divisor;
};
exports.MULTIPLY = function (factor1, factor2) {
if (arguments.length !== 2) {
return error.na;
}
factor1 = utils.parseNumber(factor1);
factor2 = utils.parseNumber(factor2);
if (utils.anyIsError(factor1, factor2)) {
return error.value;
}
return factor1 * factor2;
};
exports.GTE = function (num1, num2) {
if (arguments.length !== 2) {
return error.na;
}
num1 = utils.parseNumber(num1);
num2 = utils.parseNumber(num2);
if (utils.anyIsError(num1, num2)) {
return error.error;
}
return num1 >= num2;
};
exports.LT = function (num1, num2) {
if (arguments.length !== 2) {
return error.na;
}
num1 = utils.parseNumber(num1);
num2 = utils.parseNumber(num2);
if (utils.anyIsError(num1, num2)) {
return error.error;
}
return num1 < num2;
};
exports.LTE = function (num1, num2) {
if (arguments.length !== 2) {
return error.na;
}
num1 = utils.parseNumber(num1);
num2 = utils.parseNumber(num2);
if (utils.anyIsError(num1, num2)) {
return error.error;
}
return num1 <= num2;
};
exports.EQ = function (value1, value2) {
if (arguments.length !== 2) {
return error.na;
}
return value1 === value2;
};
exports.NE = function (value1, value2) {
if (arguments.length !== 2) {
return error.na;
}
return value1 !== value2;
};
exports.POW = function (base, exponent) {
if (arguments.length !== 2) {
return error.na;
}
base = utils.parseNumber(base);
exponent = utils.parseNumber(exponent);
if (utils.anyIsError(base, exponent)) {
return error.error;
}
return exports.POWER(base, exponent);
};
exports.SUM = function() {
var result = 0;
utils.arrayEach(utils.argsToArray(arguments), function(value) {
if (typeof value === 'number') {
result += value;
} else if (typeof value === 'string') {
var parsed = parseFloat(value);
!isNaN(parsed) && (result += parsed);
} else if (Array.isArray(value)) {
result += exports.SUM.apply(null, value);
}
});
return result;
};
exports.SUMIF = function(range, criteria) {
range = utils.parseNumberArray(utils.flatten(range));
if (range instanceof Error) {
return range;
}
var result = 0;
var isWildcard = criteria === void 0 || criteria === '*';
var tokenizedCriteria = isWildcard ? null : evalExpression.parse(criteria + '');
for (var i = 0; i < range.length; i++) {
var value = range[i];
if (isWildcard) {
result += value;
} else {
var tokens = [evalExpression.createToken(value, evalExpression.TOKEN_TYPE_LITERAL)].concat(tokenizedCriteria);
result += (evalExpression.compute(tokens) ? value : 0);
}
}
return result;
};
exports.SUMIFS = function() {
var args = utils.argsToArray(arguments);
var range = utils.parseNumberArray(utils.flatten(args.shift()));
if (range instanceof Error) {
return range;
}
var criterias = args;
var n_range_elements = range.length;
var criteriaLength = criterias.length;
var result = 0;
for (var i = 0; i < n_range_elements; i++) {
var value = range[i];
var isMeetCondition = false;
for (var j = 0; j < criteriaLength; j++) {
var criteria = criterias[j];
var isWildcard = criteria === void 0 || criteria === '*';
var computedResult = false;
if (isWildcard) {
computedResult = true;
} else {
var tokenizedCriteria = evalExpression.parse(criteria + '');
var tokens = [evalExpression.createToken(value, evalExpression.TOKEN_TYPE_LITERAL)].concat(tokenizedCriteria);
computedResult = evalExpression.compute(tokens);
}
// Criterias are calculated as AND so any `false` breakes the loop as unmeet condition
if (!computedResult) {
isMeetCondition = false;
break;
}
isMeetCondition = true;
}
if (isMeetCondition) {
result += value;
}
}
return result;
};
exports.SUMPRODUCT = function() {
if (!arguments || arguments.length === 0) {
return error.value;
}
var arrays = arguments.length + 1;
var result = 0;
var product;
var k;
var _i;
var _ij;
for (var i = 0; i < arguments[0].length; i++) {
if (!(arguments[0][i] instanceof Array)) {
product = 1;
for (k = 1; k < arrays; k++) {
_i = utils.parseNumber(arguments[k - 1][i]);
if (_i instanceof Error) {
return _i;
}
product *= _i;
}
result += product;
} else {
for (var j = 0; j < arguments[0][i].length; j++) {
product = 1;
for (k = 1; k < arrays; k++) {
_ij = utils.parseNumber(arguments[k - 1][i][j]);
if (_ij instanceof Error) {
return _ij;
}
product *= _ij;
}
result += product;
}
}
}
return result;
};
exports.SUMSQ = function() {
var numbers = utils.parseNumberArray(utils.flatten(arguments));
if (numbers instanceof Error) {
return numbers;
}
var result = 0;
var length = numbers.length;
for (var i = 0; i < length; i++) {
result += (information.ISNUMBER(numbers[i])) ? numbers[i] * numbers[i] : 0;
}
return result;
};
exports.SUMX2MY2 = function(array_x, array_y) {
array_x = utils.parseNumberArray(utils.flatten(array_x));
array_y = utils.parseNumberArray(utils.flatten(array_y));
if (utils.anyIsError(array_x, array_y)) {
return error.value;
}
var result = 0;
for (var i = 0; i < array_x.length; i++) {
result += array_x[i] * array_x[i] - array_y[i] * array_y[i];
}
return result;
};
exports.SUMX2PY2 = function(array_x, array_y) {
array_x = utils.parseNumberArray(utils.flatten(array_x));
array_y = utils.parseNumberArray(utils.flatten(array_y));
if (utils.anyIsError(array_x, array_y)) {
return error.value;
}
var result = 0;
array_x = utils.parseNumberArray(utils.flatten(array_x));
array_y = utils.parseNumberArray(utils.flatten(array_y));
for (var i = 0; i < array_x.length; i++) {
result += array_x[i] * array_x[i] + array_y[i] * array_y[i];
}
return result;
};
exports.SUMXMY2 = function(array_x, array_y) {
array_x = utils.parseNumberArray(utils.flatten(array_x));
array_y = utils.parseNumberArray(utils.flatten(array_y));
if (utils.anyIsError(array_x, array_y)) {
return error.value;
}
var result = 0;
array_x = utils.flatten(array_x);
array_y = utils.flatten(array_y);
for (var i = 0; i < array_x.length; i++) {
result += Math.pow(array_x[i] - array_y[i], 2);
}
return result;
};
exports.TAN = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
return Math.tan(number);
};
exports.TANH = function(number) {
number = utils.parseNumber(number);
if (number instanceof Error) {
return number;
}
var e2 = Math.exp(2 * number);
return (e2 - 1) / (e2 + 1);
};
exports.TRUNC = function(number, digits) {
digits = (digits === undefined) ? 0 : digits;
number = utils.parseNumber(number);
digits = utils.parseNumber(digits);
if (utils.anyIsError(number, digits)) {
return error.value;
}
var sign = (number > 0) ? 1 : -1;
return sign * (Math.floor(Math.abs(number) * Math.pow(10, digits))) / Math.pow(10, digits);
};