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engineering.js
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engineering.js
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import {ERROR_DIV0, ERROR_NA, ERROR_NUM, ERROR_VALUE, errorObj} from '../../calc_utils/error_config'
import {jStat} from 'jstat'
import * as text from './text'
import * as utils from '../../calc_utils/helper'
import bessel from 'bessel'
import {parseNumber} from "../../calc_utils/parse_helper";
import {OnlyNumberExpFunction} from "../../calc_data_proxy/exp_function_warp";
import {anyIsError} from "../../calc_utils/helper";
function isValidBinaryNumber(number) {
return (/^[01]{1,10}$/).test(number);
}
/**
*
* @param {number}x 必需。 用来计算函数的值。
* @param {number}n 必需。 贝赛耳函数的阶数。 如果 n 不是整数，将被截尾取整。
* @returns {*|RegExp|number|Error}
* @constructor
*/
function BESSELI_(x, n) {
x = parseNumber(x);
n = parseNumber(n);
return bessel.besseli(x, n);
};
export const BESSELI = new OnlyNumberExpFunction(BESSELI_)
/**
*
* @param {number}x 必需。 用来计算函数的值。
* @param {number}n 必需。 贝赛耳函数的阶数。 如果 n 不是整数，将被截尾取整。
* @returns {number|*}
* @constructor
* @private
*/
function BESSELJ_(x, n) {
x = parseNumber(x);
n = parseNumber(n);
return bessel.besselj(x, n);
};
export const BESSELJ = new OnlyNumberExpFunction(BESSELJ_)
/**
*
* @param {number} x 必需。 用来计算函数的值。
* @param {number} n 必需。 函数的阶数。 如果 n 不是整数，将被截尾取整。
* @returns {number}
* @constructor
* @private
*/
function BESSELK_(x, n) {
x = parseNumber(x);
n = parseNumber(n);
return bessel.besselk(x, n);
};
export const BESSELK = new OnlyNumberExpFunction(BESSELK_)
/**
*
* @param {number}x 必需。 用来计算函数的值。
* @param {number}n 必需。 函数的阶数。 如果 n 不是整数，将被截尾取整。
* @returns {number}
* @constructor
* @private
*/
function BESSELY_(x, n) {
x = parseNumber(x);
n = parseNumber(n);
return bessel.bessely(x, n);
};
export const BESSELY = new OnlyNumberExpFunction(BESSELY_)
/**
*
* @param {number}number 必需。 要转换的二进制数。 Number 包含的字符不能超过 10 个（10 位）。
* Number 的最高位为符号位。 其余 9 位是数量位。 负数用二进制补码记数法表示。
* @returns {number}
* @constructor
* @private
*/
function BIN2DEC_(number) {
let result = parseInt(number, 2);
let stringified = number.toString();
if(stringified.length>10){
return Error(ERROR_NUM);
}
if (stringified.length === 10 && stringified.substring(0, 1) === '1') {
return parseInt(stringified.substring(1), 2) - 512;
} else {
return result;
}
};
export const BIN2DEC = new OnlyNumberExpFunction(BIN2DEC_)
/**
*
* @param {number} number 必需。 要转换的二进制数。 Number 包含的字符不能超过 10 个（10 位）。
* Number 的最高位为符号位。 其余 9 位是数量位。 负数用二进制补码记数法表示。
* @param {number} places 可选。 要使用的字符数。 如果省略 Places，BIN2HEX 将使用必需的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
* @private
*/
function BIN2HEX_(number, places) {
let stringified = number.toString();
if (stringified.length === 10 && stringified.substring(0, 1) === '1') {
return (1099511627264 + parseInt(stringified.substring(1), 2)).toString(16);
}
let result = parseInt(number, 2).toString(16);
if (places === undefined) {
return result;
}
else {
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
if (places < 0) {
return Error(ERROR_NUM);
}
places = Math.floor(places);
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
export const BIN2HEX = new OnlyNumberExpFunction(BIN2HEX_)
/**
*
* @param {number} number 必需。 要转换的二进制数。 Number 包含的字符不能超过 10 个（10 位）。
* Number 的最高位为符号位。 其余 9 位是数量位。 负数用二进制补码记数法表示。
* @param {number} places 可选。 要使用的字符数。 如果省略 places，BIN2OCT 将使用必需的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {*|Error|string|Error}
* @constructor
*/
function BIN2OCT_(number, places) {
let stringified = number.toString();
if (stringified.length === 10 && stringified.substring(0, 1) === '1') {
return (1073741312 + parseInt(stringified.substring(1), 2)).toString(8);
}
let result = parseInt(number, 2).toString(8);
if (places === undefined) {
return result;
} else {
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
if (places < 0) {
return Error(ERROR_NUM);
}
places = Math.floor(places);
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
export const BIN2OCT = new OnlyNumberExpFunction(BIN2OCT_)
/**
*
* @param {number}number1 必需。 必须为十进制格式且大于等于 0。
* @param {number}number2 必需。 必须为十进制格式且大于等于 0。
* @returns {*|Error|Error|number}
* @constructor
*/
function BITAND_(number1, number2) {
number1 = parseNumber(number1);
number2 = parseNumber(number2);
if (number1 < 0 || number2 < 0) {
return Error(ERROR_NUM);
}
if (Math.floor(number1) !== number1 || Math.floor(number2) !== number2) {
return Error(ERROR_NUM);
}
if (number1 > 281474976710655 || number2 > 281474976710655) {
return Error(ERROR_NUM);
}
return number1 & number2;
};
export const BITAND = new OnlyNumberExpFunction(BITAND_)
/**
*
* @param {number}number 必需。 Number 必须是大于或等于0的整数。
* @param {number}shift 必需。 Shift_amount 必须是整数。
* @returns {*|Error|Error}
* @constructor
*/
function BITLSHIFT_(number, shift) {
number = parseNumber(number);
shift = parseNumber(shift);
if (number < 0) {
return Error(ERROR_NUM);
}
if (Math.floor(number) !== number) {
return Error(ERROR_NUM);
}
if (number > 281474976710655) {
return Error(ERROR_NUM);
}
if (Math.abs(shift) > 53) {
return Error(ERROR_NUM);
}
return (shift >= 0) ? number << shift : number >> -shift;
};
export const BITLSHIFT = new OnlyNumberExpFunction(BITLSHIFT_)
/**
*
* @param {number}number1 必需。 必须为十进制格式且大于等于 0。
* @param {number}number2 必需。 必须为十进制格式且大于等于 0。
* @returns {*|Error|Error|number}
* @constructor
*/
function BITOR_(number1, number2) {
number1 = parseNumber(number1);
number2 = parseNumber(number2);
if (number1 < 0 || number2 < 0) {
return Error(ERROR_NUM);
}
if (Math.floor(number1) !== number1 || Math.floor(number2) !== number2) {
return Error(ERROR_NUM);
}
if (number1 > 281474976710655 || number2 > 281474976710655) {
return Error(ERROR_NUM);
}
return number1 | number2;
};
export const BITOR = new OnlyNumberExpFunction(BITOR_)
/**
*
* @param {number}number 必需。 必须是大于或等于0的整数。
* @param {number}shift 必需。 必须是整数。
* @returns {*|Error|Error}
* @constructor
*/
function BITRSHIFT_(number, shift) {
number = parseNumber(number);
shift = parseNumber(shift);
if (number < 0) {
return Error(ERROR_NUM);
}
if (Math.floor(number) !== number) {
return Error(ERROR_NUM);
}
if (number > 281474976710655) {
return Error(ERROR_NUM);
}
if (Math.abs(shift) > 53) {
return Error(ERROR_NUM);
}
return (shift >= 0) ? number >> shift : number << -shift;
};
export const BITRSHIFT = new OnlyNumberExpFunction(BITRSHIFT_)
/**
*
* @param {number}number1 必需。 必须大于或等于 0。
* @param {number}number2 必需。 必须大于或等于 0。
* @returns {Error|number}
* @constructor
* @private
*/
function BITXOR_(number1, number2) {
number1 = parseNumber(number1);
number2 = parseNumber(number2);
if (number1 < 0 || number2 < 0) {
return Error(ERROR_NUM);
}
if (Math.floor(number1) !== number1 || Math.floor(number2) !== number2) {
return Error(ERROR_NUM);
}
if (number1 > 281474976710655 || number2 > 281474976710655) {
return Error(ERROR_NUM);
}
return number1 ^ number2;
};
export const BITXOR = new OnlyNumberExpFunction(BITXOR_)
/**
*
* @param {number}real 必需。 复数的实系数。
* @param {number}imaginary 必需。 复数的虚系数。
* @param {string}suffix 可选。 复数中虚系数的后缀。 如果省略，则认为它是“i”。
* @returns {string|Error|number}
* @constructor
*/
export function COMPLEX(real, imaginary, suffix) {
real = parseNumber(real);
imaginary = parseNumber(imaginary);
suffix = (suffix === undefined) ? 'i' : suffix;
suffix = suffix.toLowerCase();
if (suffix !== 'i' && suffix !== 'j') {
return Error(ERROR_VALUE);
}
if (real === 0 && imaginary === 0) {
return 0;
} else if (real === 0) {
return (imaginary === 1) ? suffix : imaginary.toString() + suffix;
} else if (imaginary === 0) {
return real.toString();
} else {
let sign = (imaginary > 0) ? '+' : '';
return real.toString() + sign + ((imaginary === 1) ? suffix : imaginary.toString() + suffix);
}
};
/**
*
* @param {number}number 是以 from_unit 为单位的需要进行转换的数值。
* @param {number}from_unit 是数值的单位。
* @param {number}to_unit 是结果的单位。
* @returns {*|Error|Error|number}
* @constructor
*/
export function CONVER(number, from_unit, to_unit) {
let units = [
["a.u. of action", "?", null, "action", false, false, 1.05457168181818e-34],
["a.u. of charge", "e", null, "electric_charge", false, false, 1.60217653141414e-19],
["a.u. of energy", "Eh", null, "energy", false, false, 4.35974417757576e-18],
["a.u. of length", "a?", null, "length", false, false, 5.29177210818182e-11],
["a.u. of mass", "m?", null, "mass", false, false, 9.10938261616162e-31],
["a.u. of time", "?/Eh", null, "time", false, false, 2.41888432650516e-17],
["admiralty knot", "admkn", null, "speed", false, true, 0.514773333],
["ampere", "A", null, "electric_current", true, false, 1],
["ampere per meter", "A/m", null, "magnetic_field_intensity", true, false, 1],
["ångström", "Å", ["ang"], "length", false, true, 1e-10],
["are", "ar", null, "area", false, true, 100],
["astronomical unit", "ua", null, "length", false, false, 1.49597870691667e-11],
["bar", "bar", null, "pressure", false, false, 100000],
["barn", "b", null, "area", false, false, 1e-28],
["becquerel", "Bq", null, "radioactivity", true, false, 1],
["bit", "bit", ["b"], "information", false, true, 1],
["btu", "BTU", ["btu"], "energy", false, true, 1055.05585262],
["byte", "byte", null, "information", false, true, 8],
["candela", "cd", null, "luminous_intensity", true, false, 1],
["candela per square metre", "cd/m?", null, "luminance", true, false, 1],
["coulomb", "C", null, "electric_charge", true, false, 1],
["cubic ångström", "ang3", ["ang^3"], "volume", false, true, 1e-30],
["cubic foot", "ft3", ["ft^3"], "volume", false, true, 0.028316846592],
["cubic inch", "in3", ["in^3"], "volume", false, true, 0.000016387064],
["cubic light-year", "ly3", ["ly^3"], "volume", false, true, 8.46786664623715e-47],
["cubic metre", "m?", null, "volume", true, true, 1],
["cubic mile", "mi3", ["mi^3"], "volume", false, true, 4168181825.44058],
["cubic nautical mile", "Nmi3", ["Nmi^3"], "volume", false, true, 6352182208],
["cubic Pica", "Pica3", ["Picapt3", "Pica^3", "Picapt^3"], "volume", false, true, 7.58660370370369e-8],
["cubic yard", "yd3", ["yd^3"], "volume", false, true, 0.764554857984],
["cup", "cup", null, "volume", false, true, 0.0002365882365],
["dalton", "Da", ["u"], "mass", false, false, 1.66053886282828e-27],
["day", "d", ["day"], "time", false, true, 86400],
["degree", "°", null, "angle", false, false, 0.0174532925199433],
["degrees Rankine", "Rank", null, "temperature", false, true, 0.555555555555556],
["dyne", "dyn", ["dy"], "force", false, true, 0.00001],
["electronvolt", "eV", ["ev"], "energy", false, true, 1.60217656514141],
["ell", "ell", null, "length", false, true, 1.143],
["erg", "erg", ["e"], "energy", false, true, 1e-7],
["farad", "F", null, "electric_capacitance", true, false, 1],
["fluid ounce", "oz", null, "volume", false, true, 0.0000295735295625],
["foot", "ft", null, "length", false, true, 0.3048],
["foot-pound", "flb", null, "energy", false, true, 1.3558179483314],
["gal", "Gal", null, "acceleration", false, false, 0.01],
["gallon", "gal", null, "volume", false, true, 0.003785411784],
["gauss", "G", ["ga"], "magnetic_flux_density", false, true, 1],
["grain", "grain", null, "mass", false, true, 0.0000647989],
["gram", "g", null, "mass", false, true, 0.001],
["gray", "Gy", null, "absorbed_dose", true, false, 1],
["gross registered ton", "GRT", ["regton"], "volume", false, true, 2.8316846592],
["hectare", "ha", null, "area", false, true, 10000],
["henry", "H", null, "inductance", true, false, 1],
["hertz", "Hz", null, "frequency", true, false, 1],
["horsepower", "HP", ["h"], "power", false, true, 745.69987158227],
["horsepower-hour", "HPh", ["hh", "hph"], "energy", false, true, 2684519.538],
["hour", "h", ["hr"], "time", false, true, 3600],
["imperial gallon (U.K.)", "uk_gal", null, "volume", false, true, 0.00454609],
["imperial hundredweight", "lcwt", ["uk_cwt", "hweight"], "mass", false, true, 50.802345],
["imperial quart (U.K)", "uk_qt", null, "volume", false, true, 0.0011365225],
["imperial ton", "brton", ["uk_ton", "LTON"], "mass", false, true, 1016.046909],
["inch", "in", null, "length", false, true, 0.0254],
["international acre", "uk_acre", null, "area", false, true, 4046.8564224],
["IT calorie", "cal", null, "energy", false, true, 4.1868],
["joule", "J", null, "energy", true, true, 1],
["katal", "kat", null, "catalytic_activity", true, false, 1],
["kelvin", "K", ["kel"], "temperature", true, true, 1],
["kilogram", "kg", null, "mass", true, true, 1],
["knot", "kn", null, "speed", false, true, 0.514444444444444],
["light-year", "ly", null, "length", false, true, 9460730472580800],
["litre", "L", ["l", "lt"], "volume", false, true, 0.001],
["lumen", "lm", null, "luminous_flux", true, false, 1],
["lux", "lx", null, "illuminance", true, false, 1],
["maxwell", "Mx", null, "magnetic_flux", false, false, 1e-18],
["measurement ton", "MTON", null, "volume", false, true, 1.13267386368],
["meter per hour", "m/h", ["m/hr"], "speed", false, true, 0.00027777777777778],
["meter per second", "m/s", ["m/sec"], "speed", true, true, 1],
["meter per second squared", "m?s??", null, "acceleration", true, false, 1],
["parsec", "pc", ["parsec"], "length", false, true, 30856775814671900],
["meter squared per second", "m?/s", null, "kinematic_viscosity", true, false, 1],
["metre", "m", null, "length", true, true, 1],
["miles per hour", "mph", null, "speed", false, true, 0.44704],
["millimetre of mercury", "mmHg", null, "pressure", false, false, 133.322],
["minute", "?", null, "angle", false, false, 0.000290888208665722],
["minute", "min", ["mn"], "time", false, true, 60],
["modern teaspoon", "tspm", null, "volume", false, true, 0.000005],
["mole", "mol", null, "amount_of_substance", true, false, 1],
["morgen", "Morgen", null, "area", false, true, 2500],
["n.u. of action", "?", null, "action", false, false, 1.05457168181818e-34],
["n.u. of mass", "m?", null, "mass", false, false, 9.10938261616162e-31],
["n.u. of speed", "c?", null, "speed", false, false, 299792458],
["n.u. of time", "?/(me?c??)", null, "time", false, false, 1.28808866778687e-21],
["nautical mile", "M", ["Nmi"], "length", false, true, 1],
["newton", "N", null, "force", true, true, 1],
["œrsted", "Oe ", null, "magnetic_field_intensity", false, false, 79.5774715459477],
["ohm", "Ω", null, "electric_resistance", true, false, 1],
["ounce mass", "ozm", null, "mass", false, true, 0.028349523125],
["pascal", "Pa", null, "pressure", true, false, 1],
["pascal second", "Pa?s", null, "dynamic_viscosity", true, false, 1],
["pferdestärke", "PS", null, "power", false, true, 735.49875],
["phot", "ph", null, "illuminance", false, false, 0.0001],
["pica (1/6 inch)", "pica", null, "length", false, true, 0.00035277777777778],
["pica (1/72 inch)", "Pica", ["Picapt"], "length", false, true, 0.00423333333333333],
["poise", "P", null, "dynamic_viscosity", false, false, 0.1],
["pond", "pond", null, "force", false, true, 0.00980665],
["pound force", "lbf", null, "force", false, true, 4.4482216152605],
["pound mass", "lbm", null, "mass", false, true, 0.45359237],
["quart", "qt", null, "volume", false, true, 0.000946352946],
["radian", "rad", null, "angle", true, false, 1],
["second", "?", null, "angle", false, false, 0.00000484813681109536],
["second", "s", ["sec"], "time", true, true, 1],
["short hundredweight", "cwt", ["shweight"], "mass", false, true, 45.359237],
["siemens", "S", null, "electrical_conductance", true, false, 1],
["sievert", "Sv", null, "equivalent_dose", true, false, 1],
["slug", "sg", null, "mass", false, true, 14.59390294],
["square ångström", "ang2", ["ang^2"], "area", false, true, 1e-20],
["square foot", "ft2", ["ft^2"], "area", false, true, 0.09290304],
["square inch", "in2", ["in^2"], "area", false, true, 0.00064516],
["square light-year", "ly2", ["ly^2"], "area", false, true, 8.95054210748189e+31],
["square meter", "m?", null, "area", true, true, 1],
["square mile", "mi2", ["mi^2"], "area", false, true, 2589988.110336],
["square nautical mile", "Nmi2", ["Nmi^2"], "area", false, true, 3429904],
["square Pica", "Pica2", ["Picapt2", "Pica^2", "Picapt^2"], "area", false, true, 0.00001792111111111],
["square yard", "yd2", ["yd^2"], "area", false, true, 0.83612736],
["statute mile", "mi", null, "length", false, true, 1609.344],
["steradian", "sr", null, "solid_angle", true, false, 1],
["stilb", "sb", null, "luminance", false, false, 0.0001],
["stokes", "St", null, "kinematic_viscosity", false, false, 0.0001],
["stone", "stone", null, "mass", false, true, 6.35029318],
["tablespoon", "tbs", null, "volume", false, true, 0.0000147868],
["teaspoon", "tsp", null, "volume", false, true, 0.00000492892],
["tesla", "T", null, "magnetic_flux_density", true, true, 1],
["thermodynamic calorie", "c", null, "energy", false, true, 4.184],
["ton", "ton", null, "mass", false, true, 907.18474],
["tonne", "t", null, "mass", false, false, 1000],
["U.K. pint", "uk_pt", null, "volume", false, true, 0.00056826125],
["U.S. bushel", "bushel", null, "volume", false, true, 0.03523907],
["U.S. oil barrel", "barrel", null, "volume", false, true, 0.158987295],
["U.S. pint", "pt", ["us_pt"], "volume", false, true, 0.000473176473],
["U.S. survey mile", "survey_mi", null, "length", false, true, 1609.347219],
["U.S. survey/statute acre", "us_acre", null, "area", false, true, 4046.87261],
["volt", "V", null, "voltage", true, false, 1],
["watt", "W", null, "power", true, true, 1],
["watt-hour", "Wh", ["wh"], "energy", false, true, 3600],
["weber", "Wb", null, "magnetic_flux", true, false, 1],
["yard", "yd", null, "length", false, true, 0.9144],
["year", "yr", null, "time", false, true, 31557600]
];
// Binary prefixes
// [Name, Prefix power of 2 value, Previx value, Abbreviation, Derived from]
let binary_prefixes = {
Yi: ["yobi", 80, 1208925819614629174706176, "Yi", "yotta"],
Zi: ["zebi", 70, 1180591620717411303424, "Zi", "zetta"],
Ei: ["exbi", 60, 1152921504606846976, "Ei", "exa"],
Pi: ["pebi", 50, 1125899906842624, "Pi", "peta"],
Ti: ["tebi", 40, 1099511627776, "Ti", "tera"],
Gi: ["gibi", 30, 1073741824, "Gi", "giga"],
Mi: ["mebi", 20, 1048576, "Mi", "mega"],
ki: ["kibi", 10, 1024, "ki", "kilo"]
};
// Unit prefixes
// [Name, Multiplier, Abbreviation]
let unit_prefixes = {
Y: ["yotta", 1e+24, "Y"],
Z: ["zetta", 1e+21, "Z"],
E: ["exa", 1e+18, "E"],
P: ["peta", 1e+15, "P"],
T: ["tera", 1e+12, "T"],
G: ["giga", 1e+09, "G"],
M: ["mega", 1e+06, "M"],
k: ["kilo", 1e+03, "k"],
h: ["hecto", 1e+02, "h"],
e: ["dekao", 1e+01, "e"],
d: ["deci", 1e-01, "d"],
c: ["centi", 1e-02, "c"],
m: ["milli", 1e-03, "m"],
u: ["micro", 1e-06, "u"],
n: ["nano", 1e-09, "n"],
p: ["pico", 1e-12, "p"],
f: ["femto", 1e-15, "f"],
a: ["atto", 1e-18, "a"],
z: ["zepto", 1e-21, "z"],
y: ["yocto", 1e-24, "y"]
};
// Initialize units and multipliers
let from = null;
let to = null;
let base_from_unit = from_unit.toLowerCase();
let base_to_unit = to_unit.toLowerCase();
let from_multiplier = 1;
let to_multiplier = 1;
let alt;
// Lookup from and to units
for (let i = 0; i < units.length; i++) {
alt = (units[i][2] === null) ? [] : units[i][2];
if (units[i][1].toLowerCase() === base_from_unit || alt.indexOf(from_unit) >= 0) {
from = units[i];
}
if (units[i][1].toLowerCase() === base_to_unit || alt.indexOf(to_unit) >= 0) {
to = units[i];
}
}
// Lookup from prefix
if (from === null) {
let from_binary_prefix = binary_prefixes[from_unit.substring(0, 2)];
let from_unit_prefix = unit_prefixes[from_unit.substring(0, 1)];
// Handle dekao unit prefix (only unit prefix with two characters)
if (from_unit.substring(0, 2) === 'da') {
from_unit_prefix = ["dekao", 1e+01, "da"];
}
// Handle binary prefixes first (so that 'Yi' is processed before 'Y')
if (from_binary_prefix) {
from_multiplier = from_binary_prefix[2];
base_from_unit = from_unit.substring(2);
} else if (from_unit_prefix) {
from_multiplier = from_unit_prefix[1];
base_from_unit = from_unit.substring(from_unit_prefix[2].length);
}
// Lookup from unit
for (let j = 0; j < units.length; j++) {
alt = (units[j][2] === null) ? [] : units[j][2];
if (units[j][1] === base_from_unit || alt.indexOf(base_from_unit) >= 0) {
from = units[j];
}
}
}
// Lookup to prefix
if (to === null) {
let to_binary_prefix = binary_prefixes[to_unit.substring(0, 2)];
let to_unit_prefix = unit_prefixes[to_unit.substring(0, 1)];
// Handle dekao unit prefix (only unit prefix with two characters)
if (to_unit.substring(0, 2) === 'da') {
to_unit_prefix = ["dekao", 1e+01, "da"];
}
// Handle binary prefixes first (so that 'Yi' is processed before 'Y')
if (to_binary_prefix) {
to_multiplier = to_binary_prefix[2];
base_to_unit = to_unit.substring(2);
} else if (to_unit_prefix) {
to_multiplier = to_unit_prefix[1];
base_to_unit = to_unit.substring(to_unit_prefix[2].length);
}
// Lookup to unit
for (let k = 0; k < units.length; k++) {
alt = (units[k][2] === null) ? [] : units[k][2];
if (units[k][1] === base_to_unit || alt.indexOf(base_to_unit) >= 0) {
to = units[k];
}
}
}
// Return error if a unit does not exist
if (from === null || to === null) {
return Error(ERROR_NA);
}
//Return error if units represent different quantities
if (from[3] !== to[3]) {
if(from_unit == 'F' && to_unit == 'C'){
return (number-32)/1.8
}
if(from_unit == 'C' && to_unit == 'F'){
return number * 1.8 + 32
}
return Error(ERROR_NA);
}
// Return converted number
return number * from[6] * from_multiplier / (to[6] * to_multiplier);
};
/**
*
* @param {number}number 必需。 要转换的十进制整数。 如果数字为负数，则忽略有效的 place 值，且 DEC2BIN 返回 10 个字符的（10 位）二进制数，
* 其中最高位为符号位。 其余 9 位是数量位。 负数用二进制补码记数法表示。
* @param {number}places 可选。 要使用的字符数。 如果省略 places，则 DEC2BIN 使用必要的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
*/
export function DEC2BIN(number, places) {
number = parseNumber(number);
if (number instanceof Error) {
return number;
}
// Return error if number is not decimal, is lower than -512, or is greater than 511
if (!/^-?[0-9]{1,3}$/.test(number) || number < -512 || number > 511) {
return Error(ERROR_NUM);
}
// Ignore places and return a 10-character binary number if number is negative
if (number < 0) {
return '1' + text.REPT('0', 9 - (512 + number).toString(2).length) + (512 + number).toString(2);
}
// Convert decimal number to binary
let result = parseInt(number, 10).toString(2);
// Return binary number using the minimum number of characters necessary if places is undefined
if (typeof places === 'undefined') {
return result;
} else {
// Return error if places is nonnumeric
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
// Return error if places is negative
if (places < 0) {
return Error(ERROR_NUM);
}
// Truncate places in case it is not an integer
places = Math.floor(places);
// Pad return value with leading 0s (zeros) if necessary (using Underscore.string)
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
/**
*
* @param{number} number 必需。 要转换的十进制整数。 如果数字为负数，则忽略 places，且 DEC2HEX 返回 10 个字符的（40 位）十六进制数，其中最高位为符号位。
* 其余 39 位是数量位。 负数由二进制补码记数法表示。
* @param {number}places 可选。 要使用的字符数。 如果省略 places，则 DEC2HEX 使用必要的最小字符数。
* Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
*/
export function DEC2HEX (number, places) {
number = parseNumber(number);
if (number instanceof Error) {
return number;
}
// Return error if number is not decimal, is lower than -549755813888, or is greater than 549755813887
if (!/^-?[0-9]{1,12}$/.test(number) || number < -549755813888 || number > 549755813887) {
return Error(ERROR_NUM);
}
// Ignore places and return a 10-character hexadecimal number if number is negative
if (number < 0) {
return (1099511627776 + number).toString(16);
}
// Convert decimal number to hexadecimal
let result = parseInt(number, 10).toString(16);
// Return hexadecimal number using the minimum number of characters necessary if places is undefined
if (typeof places === 'undefined') {
return result;
} else {
// Return error if places is nonnumeric
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
// Return error if places is negative
if (places < 0) {
return Error(ERROR_NUM);
}
// Truncate places in case it is not an integer
places = Math.floor(places);
// Pad return value with leading 0s (zeros) if necessary (using Underscore.string)
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
/**
*
* @param {number}number 必需。 要转换的十进制整数。 如果数字为负数，则忽略 places，且 DEC2OCT 返回 10 个字符的（30 位）八进制数，
* 其中最高位为符号位。 其余 29 位是数量位。 负数由二进制补码记数法表示。
* @param {number}places 可选。 要使用的字符数。 如果省略 places，则 DEC2OCT 使用必要的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
*/
export function DEC2OCT(number, places) {
number = parseNumber(number);
if (number instanceof Error) {
return number;
}
// Return error if number is not decimal, is lower than -549755813888, or is greater than 549755813887
if (!/^-?[0-9]{1,9}$/.test(number) || number < -536870912 || number > 536870911) {
return Error(ERROR_NUM);
}
// Ignore places and return a 10-character octal number if number is negative
if (number < 0) {
return (1073741824 + number).toString(8);
}
// Convert decimal number to octal
let result = parseInt(number, 10).toString(8);
// Return octal number using the minimum number of characters necessary if places is undefined
if (typeof places === 'undefined') {
return result;
} else {
// Return error if places is nonnumeric
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
// Return error if places is negative
if (places < 0) {
return Error(ERROR_NUM);
}
// Truncate places in case it is not an integer
places = Math.floor(places);
// Pad return value with leading 0s (zeros) if necessary (using Underscore.string)
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
/**
*
* @param {number}number1 必需。 第一个数字。
* @param {number}number2 可选。 第二个数字。 如果省略，则假设 Number2 值为零。
* @returns {Error|number}
* @constructor
*/
export function DELTA(number1, number2) {
// Set number2 to zero if undefined
number2 = (number2 === undefined) ? 0 : number2;
number1 = parseNumber(number1);
number2 = parseNumber(number2);
if (anyIsError(number1, number2)) {
return Error(ERROR_VALUE);
}
return (number1 === number2) ? 1 : 0;
};
// TODO: why is upper_bound not used ? The excel documentation has no examples with upper_bound
/**
*
* @param {number}lower_bound 必需。 ERF 函数的积分下限。
* @param {number}upper_bound 可选。 ERF 函数的积分上限。 如果省略，ERF 积分将在零到 lower_limit 之间。
* @returns {Error|*}
* @constructor
*/
export function ERF(lower_bound, upper_bound) {
lower_bound = parseNumber(lower_bound);
if (anyIsError(lower_bound, upper_bound)) {
return Error(ERROR_VALUE);
}
if (upper_bound === undefined) {
return jStat.erf(lower_bound)
} else {
return jStat.erf(upper_bound) - jStat.erf(lower_bound);
}
};
// TODO
exports.ERF.PRECISE = function(x) {
if (isNaN(x)) {
return Error(ERROR_VALUE);
}
let Formulas = window.jsSpreadsheet.AllFormulas;
return Formulas.ERF(x)
};
/**
*
* @param {number}x 必需。 ERFC 函数的积分下限。
* @returns {Error|*}
* @constructor
*/
export function ERFC(x) {
// Return error if x is not a number
if (isNaN(x)) {
return Error(ERROR_VALUE);
}
return jStat.erfc(x);
};
// TODO
exports.ERFC.PRECISE = function(x) {
if (isNaN(x)) {
return Error(ERROR_VALUE);
}
let Formulas = window.jsSpreadsheet.AllFormulas;
return Formulas.ERFC(x)
};
/**
*
* @param {number}number 必需。 要针对步骤进行测试的值。
* @param {number}step 可选。 阈值。 如果省略 step 值，则 GESTEP 使用零。
* @returns {number|*|Error|number}
* @constructor
*/
export function GESTEP(number, step) {
step = step || 0;
number = parseNumber(number);
if (anyIsError(step, number)) {
return number;
}
return (number >= step) ? 1 : 0;
};
/**
*
* @param {number}number 必需。 要转换的十六进制数。 Number 不能包含超过 10 个字符。
* number 的最高位为符号位（从右侧起第 40 位）。 其余 9 位是数量位。 负数用二进制补码记数法表示。
* @param {number}places 可选。 要使用的字符数。 如果省略 places，
* 则 HEX2BIN 使用必要的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
*/
export function HEX2BIN(number, places) {
// Return error if number is not hexadecimal or contains more than ten characters (10 digits)
if (!/^[0-9A-Fa-f]{1,10}$/.test(number)) {
return Error(ERROR_NUM);
}
// Check if number is negative
let negative = (number.length === 10 && number.substring(0, 1).toLowerCase() === 'f') ? true : false;
// Convert hexadecimal number to decimal
let decimal = (negative) ? parseInt(number, 16) - 1099511627776 : parseInt(number, 16);
// Return error if number is lower than -512 or greater than 511
if (decimal < -512 || decimal > 511) {
return Error(ERROR_NUM);
}
if (places < 0) {
return Error(ERROR_NUM);
}
// Ignore places and return a 10-character binary number if number is negative
if (negative) {
return '1' + text.REPT('0', 9 - (512 + decimal).toString(2).length) + (512 + decimal).toString(2);
}
// Convert decimal number to binary
let result = decimal.toString(2);
// Return binary number using the minimum number of characters necessary if places is undefined
if (places === undefined) {
return result;
} else {
// Return error if places is nonnumeric
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
// Return error if places is negative
// Truncate places in case it is not an integer
places = Math.floor(places);
// Pad return value with leading 0s (zeros) if necessary (using Underscore.string)
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
/**
*
* @param {number}number 必需。 要转换的十六进制数。 Number 不能包含超过 10 个字符（40 位）。
* Number 的最高位为符号位。 其余 39 位是数量位。 负数由二进制补码记数法表示。
* @returns {Error|number}
* @constructor
*/
export function HEX2DEC(number) {
// Return error if number is not hexadecimal or contains more than ten characters (10 digits)
if (!/^[0-9A-Fa-f]{1,10}$/.test(number)) {
return Error(ERROR_NUM);
}
// Convert hexadecimal number to decimal
let decimal = parseInt(number, 16);
// Return decimal number
return (decimal >= 549755813888) ? decimal - 1099511627776 : decimal;
};
/**
*
* @param {number}number 必需。 要转换的十六进制数。 Number 不能包含超过 10 个字符。 Number 的最高位为符号位。
* 其余 39 位是数量位。 负数由二进制补码记数法表示。
* @param {number}places 可选。 要使用的字符数。 如果省略 places，则 HEX2OCT 使用必要的最小字符数。 Places 可用于在返回的值前置 0（零）。
* @returns {string|Error|*}
* @constructor
*/
export function HEX2OCT(number, places) {
// Return error if number is not hexadecimal or contains more than ten characters (10 digits)
if (!/^[0-9A-Fa-f]{1,10}$/.test(number)) {
return Error(ERROR_NUM);
}
// Convert hexadecimal number to decimal
let decimal = parseInt(number, 16);
// Return error if number is positive and greater than 0x1fffffff (536870911)
if (decimal > 536870911 && decimal < 1098974756864) {
return Error(ERROR_NUM);
}
if (places < 0) {
return Error(ERROR_NUM);
}
// Ignore places and return a 10-character octal number if number is negative
if (decimal >= 1098974756864) {
return (decimal - 1098437885952).toString(8);
}
// Convert decimal number to octal
let result = decimal.toString(8);
// Return octal number using the minimum number of characters necessary if places is undefined
if (places === undefined) {
return result;
} else {
// Return error if places is nonnumeric
if (isNaN(places)) {
return Error(ERROR_VALUE);
}
// Return error if places is negative
// Truncate places in case it is not an integer
places = Math.floor(places);
// Pad return value with leading 0s (zeros) if necessary (using Underscore.string)
return (places >= result.length) ? text.REPT('0', places - result.length) + result : Error(ERROR_NUM);
}
};
exports.ROWS = function (matrix) {
if (typeof matrix == 'string'){
matrix = utils.strToMatrix(matrix)
}
if (!(matrix instanceof Array)) {
return Error(ERROR_VALUE);
}
if (matrix.length === 0) {
return 0;
}
return jStat.rows(matrix);
};
function trans_num(inumber){
inumber = inumber.toString()
inumber = inumber.replace('I', 'i').replace('J', 'j')
return inumber
}
/**
* {number}Inumber 必需。 需要计算其绝对值的复数。
* @constructor
*/
export function IMABS(inumber) {
// Lookup real and imaginary coefficients using exports.js [http://formulajs.org]
inumber = trans_num(inumber)
let x = exports.IMREAL(inumber);
let y = exports.IMAGINARY(inumber);
// Return error if either coefficient is not a number
if (anyIsError(x, y)) {
return Error(ERROR_VALUE);
}
// Return absolute value of complex number
return Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2));
};
/**
*
* @param {number}inumber 必需。 需要计算其虚系数的复数。
* @returns {Error|number|any}
* @constructor
*/