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script.ts
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script.ts
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// short units (used to define units for Units, Constants and Formulas)
// -----------
// defined in terms of SI units: kg, m, s, K, A, mol, cd
// power is a simple number immedietly after the unit, e.g. m2 is square meters
// negative units are on the bottom of a fraction, for example m/s, s is s^-1
// a 1 may be used to handle a scalar (1) or a missing numerator
//
// Common complex units in short units:
// N = kg m/s2
// W = kg m2/s3
// J = kg m2/s2
// V = kg m2/s3 A
// Ω = kg m2/s3 A2
// Pa = kg/m s2
const arrayOfUnits = [
// short-units name group desc factor offset
['kg', 'kg', 'mass', 'kilogram', 1],
['m', 'm', 'length', 'meter', 1],
['s', 's', 'time', 'second', 1],
['A', 'A', 'electromag', 'amp', 1],
['K', 'K', 'temperature','kelvin', 1],
['cd', 'cd', 'other', 'candela', 1],
['mol', 'mol', 'other', 'mole', 1],
['kg', 'mg', 'mass', 'milligram', 1e-6],
['kg', 'g', 'mass', 'gram', 1e-3],
['kg', 't', 'mass', 'metric ton', 1000],
['kg', 'gr', 'mass', 'grain', 64.79891E-6],
['kg', 'oz', 'mass', 'ounce', 0.028349523125],
['kg', 'lb', 'mass', 'pound', 0.45359237],
['kg', 'ton', 'mass', 'short ton', 907.18474],
['kg', 'oz.t', 'mass', 'troy ounce', 0.0311034768],
['kg', 'Da', 'mass', 'atomic mass unit', 1.6605390666E-27],
['m', 'mm', 'length', 'millimeter', 0.001],
['m', 'cm', 'length', 'centimeter', 0.01],
['m', 'km', 'length', 'kilometer', 1000],
['m', 'in', 'length', 'inch', 0.0254],
['m', 'ft', 'length', 'feet', 0.3048],
['m', 'mi', 'length', 'mile', 1609.344],
['m', 'nmi', 'length', 'nautical mile', 1852],
['m', 'au', 'length', 'astronomical unit',149597870700],
['m', 'ly', 'length', 'light-year', 9460730472580800E0],
['m', 'pc', 'length', 'parsec', 30856775814913673E0],
['s', 'ns', 'time', 'nanosecond', 1E-9],
['s', 'µs', 'time', 'microsecond', 1E-6],
['s', 'ms', 'time', 'millisecond', 1E-3],
['s', 'min', 'time', 'minute', 60],
['s', 'h', 'time', 'hour', 3600],
['s', 'd', 'time', 'day', 86400],
['s', 'yr', 'time', 'julian year', 31557600],
['1/s', 'Hz', 'time', 'hertz', 1],
['m2', 'm', 'area', 'sq. meter', 1],
['m2', 'ha', 'area', 'hecare', 1E4],
['m2', 'mm', 'area', 'sq. millimeter', 1E-6],
['m2', 'cm', 'area', 'sq. centimeter', 1E-4],
['m2', 'km', 'area', 'sq. kilometer', 1E6],
['m2', 'acr', 'area', 'acre', 4046.8564224],
['m2', 'in', 'area', 'sq. inch', 0.0254*0.0254],
['m2', 'ft', 'area', 'sq. feet', 0.3048*0.3048],
['m2', 'mi', 'area', 'sq. mile', 1609.344*1609.344],
['m3', 'm', 'volume', 'cubic meter', 1],
['m3', 'l', 'volume', 'liter', 1E-3],
['m3', 'mm', 'volume', 'cubic millimeter', 1E-9],
['m3', 'cm', 'volume', 'cubic centimeter', 1E-6],
['m3', 'km', 'volume', 'cubic kilometer', 1E9],
['m3', 'fl.oz', 'volume', 'U.S. fluid ounce', 29.5735295625E-9],
['m3', 'gal', 'volume', 'U.S. gallon', 3.785411784E-3],
['m3', 'in', 'volume', 'cubic inch', 0.0254*0.0254*0.0254],
['m3', 'ft', 'volume', 'cubic feet', 0.3048*0.3048*0.3048],
['m3', 'mi', 'volume', 'cubic mile', 1609.344*1609.344*1609.344],
['m/s', 'm/s', 'speed', 'meter/second', 1],
['m/s', 'cm/s', 'speed', 'centimeter/sec', 0.01],
['m/s', 'km/h', 'speed', 'kilometer/hour', 1000/3600],
['m/s', 'km/s', 'speed', 'kilometer/sec', 1000],
['m/s', 'ft/s', 'speed', 'feet/second', 0.3048],
['m/s', 'mi/h', 'speed', 'mile/hour', 1609.344/3600],
['m/s', 'mi/s', 'speed', 'mile/second', 1609.344],
['m/s', 'c', 'speed', 'light speed', 299792458],
['kg m/s2', 'N', 'force', 'newton', 1],
['kg m/s2', 'dyn', 'force', 'dyne', 1E-5],
['kg m/s2', 'lbf', 'force', 'pound force', 4.448222],
['kg/m s2', 'Pa', 'pressure', 'pascal', 1],
['kg/m s2', 'kPa', 'pressure', 'kilopascal', 1000],
['kg/m s2', 'bar', 'pressure', 'bar', 1E5],
['kg/m s2', 'mbar', 'pressure', 'millibar', 100],
['kg/m s2', 'psi', 'pressure', 'lfb/in&super2;', 6894.757],
['K', '°C', 'temperature','deg. Celcuis', 1, -273.15],
['K', '°F', 'temperature','deg. Fahrenheit', 5/9, -459.67],
['kg m2/s2', 'J', 'energy', 'joule', 1],
['kg m2/s2', 'kW.h', 'energy', 'kilowatt-hour', 3.6E6],
['kg m2/s2', 'BTU', 'energy', 'ISO BTU', 1055.6],
['kg m2/s2', 'erg', 'energy', 'joule', 1E-7],
['kg m2/s2', 'kcal', 'energy', 'kilocalorie', 4184],
['kg m2/s2', 'tTNT', 'energy', 'ton-TNT', 4.184E9],
['kg m2/s2', 'ft.lbf', 'energy', 'foot pound force', 1.355818],
['kg m2/s2', 'eV', 'energy', 'electronvolt', 1.602176634E-19],
['kg m2/s3', 'W', 'power', 'watt', 1],
['kg m2/s3', 'kW', 'power', 'kilowatt', 1E3],
['kg m2/s3', 'MW', 'power', 'megawatt', 1E6],
['kg m2/s3', 'hp', 'power', 'horsepower', 745.69987158227],
['s A', 'C', 'electromag', 'coulomb', 1],
['kg m2/s3 A', 'V', 'electromag', 'volt', 1],
['s4 A2/kg m2', 'F', 'electromag', 'farad', 1],
['kg m2/s3 A2', 'Ω', 'electromag', 'ohm', 1],
['s3 A2/kg m2', 'S', 'electromag', 'siemens', 1],
['kg m2/s2 A', 'Wb', 'electromag', 'weber', 1],
['kg/s2 A', 'T', 'electromag', 'tesla', 1],
['kg m2/s2 A2', 'H', 'electromag', 'henry', 1],
['cd/m2', 'lx', 'other', 'lux', 1],
]
const arrayOfConstants = [
// short-units value name group desc alt-name
// alt-name are used in formula equations, must start A-Z or a-z and contain only numbers, letters or _
['1', Math.PI, 'π', 'basic', 'pi', 'pi'],
// from Physics Text Book
['1/mol', 6.02214076E23, 'L', 'physics', 'Avogadro constant'],
['kg m2/s2 K', 1.380649E-23, 'k', 'physics', 'Boltzmann constant'],
['kg m3/s4 A2', 8.9875517923E9, 'ke', 'physics', 'Coulomb constant'],
['A s', 1.602176634E-19, 'e', 'particle', 'elementry charge'],
['kg m2/s2 K mol', 8.31446261815324, 'R', 'physics', 'molar gas constant'],
['m3/kg s2', 6.6743E-11, 'G', 'physics', 'newtonian gravitational constant'],
['kg', 9.1093837015E-31, 'Me', 'particle', 'electron mass'],
['kg', 1.67262192369E-27, 'Mp', 'particle', 'proton mass'],
['kg', 1.67492749804E-27, 'Mn', 'particle', 'neutron mass'],
['s4 A2/m3 kg', 8.8541878128E-12, 'ε₀', 'physics', 'vacuum electric permittivity', 'epsilon0'],
['m/s2 A2', 1.25663706212E-6, 'µ₀', 'physics', 'vacuum magnetic permittivity', 'mu0'],
['kg m2/s', 6.62607015E-34, 'h', 'particle', 'planck constant'],
['m/s', 299792458, 'c', 'physics', 'speed of light'],
['kg', 1.6605390666E-27, 'u', 'physics', 'unified mass unit'],
// extras
['kg m2/s', 1.054571817E-34, 'ħ', 'particle', 'reduced planck constant', 'hbar'],
['kg m2/s3 A2', 376.730313668, 'Z₀', 'physics', 'characteristic impedance of vacuum', 'Z0'],
['s3 A2/kg m2', 7.748091729E-5, 'G₀', 'physics', 'conductance quantum', 'G0'],
// astronomy
['m/s2', 9.80665, 'g₀', 'astronomy','standard gravity', 'g0'],
['kg', 1.98847E30, 'M⊙', 'astronomy','mass of Sun', 'Msun'],
['kg', 5.9722E24, 'M🜨', 'astronomy','mass of Earth', 'Mearth'],
['m', 149597870700, 'au', 'astronomy','astronomical unit length'],
['m', 6378137, 'R🜨', 'astronomy','equatorial radius of Earth', 'Rearth'],
]
const arrayOfFormula = [
// [description, group, // '*' at end of description indicates var's should be permutated
// [solutions...], // 'variable=formula' formula may contain $constant, sqrt, cbrt, root4, sin, log, etc.
// [var-short-units...]], // 'variable=short-unit'
// All formulas must be in terms of SI-units
['ohms law', 'electrical',
['v = r * i', 'i = v / r', 'r = v / i'],
['v=kg m2/s3 A', 'i=A', 'r=kg m2/s3 A2']],
['watts law', 'electrical',
['p = v * i', 'i = p / v', 'v = p / i'],
['p=kg m2/s3', 'i=A', 'v=kg m2/s3 A']],
['ohms/watts law', 'electrical',
['p = r * i**2', 'r = p / i**2', 'i = sqrt(p / i)'],
['p=kg m2/s3', 'r=kg m2/s3 A2', 'i=A']],
['ohms/watts law', 'electrical',
['r = v**2 / p', 'v = sqrt(r * p)', 'p = v**2 / r'],
['r=kg m2/s3 A2', 'v=kg m2/s3 A', 'p=kg m2/s3']],
['sphere volume, radius', 'geometry',
['v = 4/3*PI*r**3', 'r = cbrt(v*3 / (4*PI))'],
['v=m3', 'r=m']],
['sphere area, radius ', 'geometry',
['a = 4*PI * r**2', 'r = sqrt(a*PI / 4)'],
['a=m2', 'r=m']],
['sphere volume, diameter', 'geometry',
['v = PI/6 * d**3', 'd = cbrt(6*v / PI)'],
['v=m3', 'd=m']],
['sphere area, diameter', 'geometry',
['a = PI * d**2', 'd = sqrt(a/PI)'],
['a=m2', 'd=m']],
['newton 2nd law', 'mechanics',
['F = m*a', 'm = F / a', 'a = F / m'],
['F=kg m/s2', 'm=kg', 'a=m/s2']],
['accelerated motion*', 'mechanics',
['a = (v-v0) / delta_t', 'delta_t = (v-v0) / a', 'v = a*delta_t + v0', 'v0 = v - a*delta_t'],
['a=m/s2', 'v=m/s', 'v0=m/s', 'delta_t=s']],
['accelerated motion', 'mechanics',
['x = 1/2*a*t**2 + v*t', 't = (sqrt(2*a*x + v**2) - v) / a', 't = -(sqrt(2*a*x + v**2) + v) / a', 'v = x/t - a*t/2', 'a = (2*x - 2*t*v)/t**2'],
['x=m', 'a=m/s2', 'v=m/s', 't=s']],
['circular motion', 'mechanics', // acceleration
['a = v**2 / r', 'r = v**2 / a', 'v = sqrt(a*r)'],
['a=m/s2', 'v=m/s', 'r=m']],
['circular motion', 'mechanics', // force
['F = m*v**2/r', 'r = m*v**2 / F', 'v = sqrt(F*r/m)', 'm = F*r / v**2'],
['F=kg m/s2', 'm=kg', 'v=m/s', 'r=m']],
['gravitational potential energy', 'mechanics',
['U = -$G*M*m / r', 'r = -$G*M*m / U', 'm = -U*r / $G*M', 'M = -U*r / $G*n'],
['U=kg m2/s2', 'M=kg', 'm=kg', 'r=m']],
['potential energy, lifted mass', 'mechanics',
['delta_U = m*$g0*h', 'm = delta_U / ($g0*h)', 'h = delta_U / (m*$g0)'],
['delta_U=kg m2/s2', 'm=kg', 'h=m']],
['elastic potential energy', 'mechanics',
['delta_u = (1/2) * k * x**2', 'k = 2*delta_u / x**2', 'x = sqrt(2*delta_u / k)', 'x = -sqrt(2*delta_u / k)'],
['delta_u=kg m2/s2', 'k=1', 'x=m']],
['kinetic energy', 'mechanics',
['E = (1/2) * m * v**2', 'm = 2*E / v**2', 'v = sqrt(2*E / m)', 'v = -sqrt(2*E / m)'],
['E=kg m2/s2', 'm=kg', 'v=m/s']],
['gravitational attraction', 'mechanics', // accleration
['F = $G*m1*m2/r**2', 'r = sqrt($G*m1*m2 / F)', 'm1 = F*r**2 / ($G*m2)', 'm2 = F*r**2 / ($G*m1)'],
['F=kg m/s2', 'm1=kg', 'm2=kg', 'r=m']],
['gravitational attraction', 'mechanics', // force
['a = $G*m/r**2', 'r = sqrt($G*m / a)', 'm = a*r**2 / $G'],
['a=m/s2', 'm=kg', 'r=m']],
['rocket equation*', 'mechanics',
['delta_v = ve * log(m0 / m1)', 've = log(m0 / m1) / delta_v', 'm0 = m1 * exp(v / delta_v)', 'm1 = m0 * exp(-v / delta_v)'],
['delta_v=m/s', 've=m/s', 'm0=kg', 'm1=kg']],
['gas law*', 'thermodynamics', // p1*v1/t1 = p2*v2/t2, repeats 4 times for ordering of measurements
['p1 = p2*t1*v2 / t2*v1', 'v1 = v2*p2*t1 / p1*t2', 't1 = t2*p1*v1 / p2*v2'],
['t1=K', 'p1=kg/m s2', 'v1=m3', 't2=K', 'p2=kg/m s2', 'v2=m3']],
['gas law, constant volume*', 'thermodynamics', // p1/t1 = p2/t2, repeats 2 times for ordering of measurements
['p1 = p2*t1 / t2', 't1 = t2*p1 / p2'],
['t1=K', 'p1=kg/m s2', 't2=K', 'p2=kg/m s2']],
['gas law, constant pressure*', 'thermodynamics', // v1/t1 = v2/t2, repeats 2 times for ordering of measurements
['v1 = v2*t1 / t2', 't1 = t2*v1 / v2'],
['t1=K', 'v1=m3', 't2=K', 'v2=m3']],
['gas law, constant temperature*', 'thermodynamics', // p1*v1 = p2*v2, repeats 2 times for ordering of measurements
['p1 = p2*v2 / v1', 'v1 = v2*p2 / p1'],
['p1=kg/m s2', 'v1=m3', 'p2=kg/m s2', 'v2=m3']],
['ideal gas law', 'thermodynamics', // p*v = n*$R*t
['p = n*$R*t / v', 'v = n*$R / p', 'n = p*v / ($R*t)', 't = p*v / (n*$R)'],
['t=K', 'p=kg/m s2', 'n=mol', 'v=m3']],
]
////////////////////////////////////////////////////////////////////////////////
function format(n:number) : string {
var p = n.toPrecision(8) // x.xxxxxxxx, may also have a leading - (10 or 11 characters)
if (/^-?0.0?0?[1-9]/.test(p)) // allow up to 0.00 and still show decimal
p = p.substr(0,10)
if (p.includes('.') && !p.includes('e')) {
p = p.replace(/0+$/, "") // get rid of trailing 0's after decimal point
if (p.substr(p.length-1) == '.')
p = p.substr(0, p.length-1) // get rid of trailing decimal point
}
if (p.length > 10 || p.includes('e'))
return n.toExponential(4) // x.xxxxe+yy, may also have a leading - (10 or 11 characters)
return p
}
////////////////////////////////////////////////////////////////////////////////
class ShortUnits {
static names = ['kg', 'm', 's', 'K', 'A', 'cd', 'mol']
powers:number[]
// convert a units string (e.g. kg m3, m/s2 or 1/s) of SI units to a units array
constructor(str?:string, powers?:number[]) {
if (str == undefined) {
this.powers = powers.slice()
return
}
this.powers = [0,0,0,0,0,0,0]
var fraction = str.split('/')
for (var i=0; i<fraction.length; i++) {
if (fraction[i] == '1')
continue
var multiple = fraction[i].split(' ')
var j : number
for (j=0; j<multiple.length; j++) {
var name = multiple[j].match(/[a-zA-Z]+/)[0]
var inx = 0
for (inx=0; inx<ShortUnits.names.length; inx++)
if (name == ShortUnits.names[inx])
break
var exps = multiple[j].match(/[0-9]+/)
var exp = 1
if (exps != null && exps.length > 0 && exps[0] != '')
exp = parseFloat(exps[0])
if (i > 0)
exp = -exp
this.powers[inx] = exp
}
}
}
copy() : ShortUnits {
return new ShortUnits(undefined, this.powers)
}
isEqual(other:ShortUnits) : boolean {
return (this.powers.toString() == other.powers.toString())
}
isEqualArray(other:number[]) : boolean {
return (this.powers.toString() == other.toString())
}
toString() : string {
var ret = ''
for (var i=0; i<7; i++) {
if (this.powers[i] > 1)
ret += ShortUnits.names[i] + this.powers[i].toString() + ' '
else if (this.powers[i] == 1)
ret += ShortUnits.names[i] + ' '
}
ret = ret.trim()
if (ret == '')
ret = '1'
ret += '/'
for (var i=0; i<7; i++) {
if (this.powers[i] < -1)
ret += ShortUnits.names[i] + (-this.powers[i].toString()) + ' '
else if (this.powers[i] == -1)
ret += ShortUnits.names[i] + ' '
}
ret = ret.trim()
if (ret == '1/')
ret = ''
if (ret.substr(-1,1) == '/')
ret = ret.substr(0,ret.length-1)
return ret
}
}
////////////////////////////////////////////////////////////////////////////////
class Unit {
group : string // node in the UI unit tree
desc : string // description for the UI unit tree
name : string // abbreviation
units : ShortUnits
factor : number // conversion factor per SI unit
offset : number // only used for temperature (C and F)
constructor(shortUnits:string, name:string, group:string, desc:string, factor:number, offset=0) {
this.units = new ShortUnits(shortUnits)
this.name = name
this.group = group
this.desc = desc
this.factor = factor
this.offset = offset
}
nPowers() : number {
var n = 0
for (var i=0; i<7; i++)
if (this.units.powers[i] != 0)
n++
return n
}
isComposite() : boolean {
return this.name.includes('/')
}
isComplex() : boolean {
return ((this.nPowers() > 1 || this.units.powers[this.index()] != 1 || this.name.includes('°')) && !this.isComposite())
}
index() : number {
for (var i=0; i<7; i++)
if (this.units.powers[i] != 0)
return i
return -1
}
names() : string[] {
var un = ['','','','','','','']
if (this.isComplex()) {
for (var i=0; i<7; i++)
if (this.units.powers[i] != 0)
un[i] = ShortUnits.names[i]
}
else {
var terms = this.name.split('/')
for (var i=0; i<terms.length; i++)
un[findUnitByName(terms[i]).index()] = terms[i]
}
return un
}
} // end class Unit
var listOfUnits:Unit[] = []
function findUnitByName(name:string) {
for (var i=0; i<listOfUnits.length; i++)
if (name == listOfUnits[i].name)
return listOfUnits[i]
return undefined
}
function findUnit(powers:number[], name?:string) {
for (var i=0; i<listOfUnits.length; i++)
if (listOfUnits[i].units.isEqualArray(powers) && (name == undefined || name == listOfUnits[i].name))
return listOfUnits[i]
return undefined
}
////////////////////////////////////////////////////////////////////////////////
class Constant {
group : string // node in the UI unit tree
desc : string // description for the UI unit tree
name : string // abbreviation
altName : string // used in solutions when name contains non-alphanumeric characters
value : number
units : ShortUnits
constructor(shortUnits:string, value:number, name:string, group:string, desc:string, altName:string = undefined) {
this.units = new ShortUnits(shortUnits)
this.value = value
this.name = name
this.group = group
this.desc = desc
if (altName == undefined)
this.altName = name
else
this.altName = altName
}
toMeasure() {
return new Measurement(this.value, this.units.powers)
}
} // end class Constant
var listOfConstants:Constant[] = []
////////////////////////////////////////////////////////////////////////////////
// displayed values, operand stack values and knowns/unknowns are all measurements
class Measurement {
value : number
unitPowers : number[]
unitNames : string[] // such as kg, g, oz, lb
complexUnits : string // such as (N)ewtons, (Pa)scal, (W)att
formulaVar : string // used only for knowns and formula search
constructor(value:number, unitPowers?:number[], unitNames?:string[], complex?:string, formulaVar?:string) {
this.value = value
this.complexUnits = complex
this.formulaVar = formulaVar
if (unitPowers == undefined)
this.unitPowers = [0,0,0,0,0,0,0]
else
this.unitPowers = unitPowers.slice()
if (unitNames == undefined) {
this.unitNames = []
for (var i=0; i<7; i++)
if (this.unitPowers[i] == 0)
this.unitNames.push('')
else
this.unitNames.push(ShortUnits.names[i])
}
else
this.unitNames = unitNames.slice()
}
toString() : string {
const superscripts = ['', '', '²', '³', '⁴', '⁵', '⁶', '⁷', '⁸', '⁹']
var unit : Unit
if (this.unitPowers.toString() == [0,0,0,0,0,0,0].toString() && currentMode != 'mode-unit')
return format(this.value)
unit = findUnit(this.unitPowers, this.complexUnits) // try to find an exact unit power and name match for a complex type, such as (N)ewton or (W)att
if (unit)
return format(this.value / unit.factor + unit.offset) + ' ' + unit.name
// couldn't find any type of match, create a composite SI unit
var factor = 1
var numerator = ''
var denominator = ''
for (var i=0; i<7; i++) {
if (this.unitPowers[i] != 0) {
var searchUnit = [0,0,0,0,0,0,0]
searchUnit[i] = 1 // search unit has a single unit type (mass, length, time, etc.)
unit = findUnit(searchUnit, this.unitNames[i])
if (unit) {
if (this.unitPowers[i] > 0)
numerator += ' ' + unit.name + superscripts[this.unitPowers[i]]
else
denominator += ' ' + unit.name + superscripts[-this.unitPowers[i]]
factor *= unit.factor ** this.unitPowers[i]
}
}
}
if (currentMode == 'mode-unit') { // show cursor (diamond) if in unit mode
if (unitSign == 1)
numerator += ' ◆'
else
denominator += ' ◆'
}
// assemble the numerator and denominator into a fraction string
var unitStr = ''
if (denominator !='') {
if (numerator == '')
numerator = ' 1'
unitStr = numerator +'/' + denominator.trim() // leave the leading space
}
else
unitStr = numerator // leave the leading space
// ignore offset for complex temperature values. C, F only make sense as simple units
return format(this.value / factor) + unitStr
} // end toString
nPowers() : number {
var n = 0
for (var i=0; i<7; i++)
if (this.unitPowers[i] != 0)
n++
return n
}
} // end class Measurement
////////////////////////////////////////////////////////////////////////////////
class Formulas {
desc : string
group : string
solutions : string[]
varNames : string[]
varUnits : ShortUnits[]
matching : string // used only in formula matching
constructor(description:string, group:string, solutions:string[], varShortUnits?:string[]) {
this.desc = description
this.group = group
this.solutions = solutions
this.varNames = []
this.varUnits = []
if (varShortUnits)
for (var i=0; i<varShortUnits.length; i++) {
var v = varShortUnits[i].split('=')
this.varNames[i] = v[0]
this.varUnits[i] = new ShortUnits(v[1])
}
}
copy() : Formulas {
var f = new Formulas(this.desc, this.group, this.solutions.slice())
f.matching = this.matching
// deep copy the pieces
f.varNames = this.varNames.slice()
for (var i=0; i<this.varUnits.length; i++)
f.varUnits[i] = this.varUnits[i].copy()
return f
}
// set the knowns[].formulaVar by matching unit powers
matchVariables() {
for (var i=0; i<knowns.length; i++)
knowns[i].formulaVar = ''
for (var i=0; i<this.varUnits.length; i++) { // search each formula variable
for (var j=0; j<knowns.length; j++) // for a machining known
if (this.varUnits[i].isEqualArray(knowns[j].unitPowers)) {
if (knowns[j].formulaVar == '') {
knowns[j].formulaVar = this.varNames[i]
break
}
}
}
}
findMatchsForUnknown() : string[] {
var solutions = []
for (var i=0; i<this.solutions.length; i++) {
var formula = this.solutions[i]
var formulaVar = formula.split('=')[0].trim()
if (formulaVar == knowns[0].formulaVar)
solutions.push(formula)
}
return solutions
}
// execute the function in the formula by dynamically creating javascript function with knowns variables
solve() : number {
var java = this.matching
// convert to javascript equation by fixing convient form
java = java.replace(/PI/g, 'Math.PI')
java = java.replace(/exp/g, 'Math.exp')
java = java.replace(/log/g, 'Math.log')
java = java.replace(/sin/g, 'Math.sin')
java = java.replace(/cos/g, 'Math.cos')
java = java.replace(/tan/g, 'Math.tan')
java = java.replace(/asin/g, 'Math.asin')
java = java.replace(/acos/g, 'Math.acos')
java = java.replace(/atan/g, 'Math.atan')
java = java.replace(/sqrt/g, 'Math.sqrt')
java = java.replace(/cbrt/g, 'Math.cbrt')
var str = '"use strict"; '
for (var i=0; i<listOfConstants.length; i++)
str += 'var $' + listOfConstants[i].altName + ' = ' + listOfConstants[i].value + '; '
str += 'function root4(x) { return x**(1/4) } '
for (var i=1; i<knowns.length; i++)
if (knowns[i].formulaVar != '')
str += 'var ' + knowns[i].formulaVar + ' = ' + knowns[i].value + '; '
str += 'var ' + java + '; '
str += 'return ' + knowns[0].formulaVar
return Function(str)()
}
prettyMatching() : string {
var pretty = this.matching
for (var i=0; i<listOfConstants.length; i++)
if (listOfConstants[i].name != listOfConstants[i].altName) {
var regex = new RegExp('$' + listOfConstants[i].altName, 'g')
pretty = pretty.replace(regex, listOfConstants[i].name) // search constants and convert back to pretty form
}
pretty = pretty.replace(/$/g, '') // all other constants
pretty = pretty.replace(/PI/g, 'π')
pretty = pretty.replace(/asin/g, 'sin⁻¹')
pretty = pretty.replace(/acos/g, 'cos⁻¹')
pretty = pretty.replace(/atan/g, 'tan⁻¹')
pretty = pretty.replace(/\*\*2/g, '²') // **2 to ²
pretty = pretty.replace(/\*\*3/g, '³') // **3 to ³
pretty = pretty.replace(/\*\*4/g, '⁴') // **4 to ⁴
pretty = pretty.replace(/\*\*5/g, '⁵') // **5 to ⁵
pretty = pretty.replace(/sqrt/g, '√')
pretty = pretty.replace(/cbrt/g, '∛')
pretty = pretty.replace(/cbrt/g, '∛')
pretty = pretty.replace(/root4/g, '∜')
pretty = pretty.replace(/delta_/g,'Δ')
return pretty
}
} // end class Formulas
var listOfFormulas:Formulas[] = []
function findExactFormulas() : Formulas[] {
var grouping : string[]
var found = []
function swap(f:Formulas, i:number, j:number) {
var n = f.varNames[i]
f.varNames[i] = f.varNames[j]
f.varNames[j] = n
var t = f.varUnits[i].copy()
f.varUnits[i] = f.varUnits[j].copy()
f.varUnits[j] = t
var g = grouping[i]
grouping[i] = grouping[j]
grouping[j] = g
}
// heap's algorithm to permutate elements from first to end of var's, but only if same unit types
function permutateVarsAndAddToFound(formula:Formulas, first:number, k:number) {
if (k == first+1)
found.push(formula.copy())
else {
permutateVarsAndAddToFound(formula.copy(), first, k-1)
for (var i=first; i<k-1; i++) {
if (((k-first)&1) == 0) { // is even test
if (grouping[i] == grouping[k-1]) { // only swap if same units
swap(formula, i, k-1)
permutateVarsAndAddToFound(formula.copy(), first, k-1)
}
}
else {
if (grouping[first] == grouping[k-1]) { // only swap if same units
swap(formula, first, k-1)
permutateVarsAndAddToFound(formula.copy(), first, k-1)
}
}
}
}
}
// sort varNames and varUnits so matching units appear at end, returns inx of first var's
function sortRepeatedVarsToEnd(formula:Formulas, exclude:string) : number {
// note all the repeated solutions (except for the unknown variable(excluded)
grouping = []
for (var i=0; i<formula.varUnits.length; i++)
grouping.push('')
for (var i=0; i<formula.varUnits.length; i++)
for (var j=i+1; j<formula.varUnits.length; j++)
if (formula.varUnits[i].isEqual(formula.varUnits[j]) &&
formula.varNames[i] != exclude && formula.varNames[j] != exclude) {
grouping[i] = formula.varUnits[i].toString()
grouping[j] = formula.varUnits[i].toString()
}
// bubble sort the solutions so repeated are at end
var n = formula.varUnits.length
var didSwap : boolean
do {
didSwap = false
for (i=1; i<n; i++) {
if (grouping[i-1] > grouping[i]) {
swap(formula, i-1, i)
didSwap = true
}
}
n--
} while (didSwap)
// find first of the repeated items
for (i=0; i<formula.varUnits.length; i++)
if (grouping[i] != '')
break
return i
}
// search for an exact formula match
// ---------------------------------
for (var i=0; i<listOfFormulas.length; i++) { // search each formula
var formula = listOfFormulas[i] // reference
var matches = []
for (var j=0; j<knowns.length; j++)
matches.push(false)
for (var j=0; j<formula.varUnits.length; j++) { // search each formula variable
for (var k=0; k<knowns.length; k++) // for a machining known
if (formula.varUnits[j].isEqualArray(knowns[k].unitPowers) && matches[k] == false) {
matches[k] = true
break
}
}
for (var j=0; j<knowns.length; j++)
if (matches[j] == false)
break
// if all knowns are found and all variables have a matching known
if ((j == formula.varUnits.length) && knowns.length == formula.varUnits.length) {
formula.matchVariables()
var matchSubFormulas = formula.findMatchsForUnknown()
for (var j=0; j<matchSubFormulas.length; j++) {
var f = formula.copy() // copy the formula object so we can uniquely modify solutions
f.matching = matchSubFormulas[j]
var exclude = (f.matching.split('='))[0].trim()
if (/\*$/.test(f.desc)) // desc ends with * (indicates variables with identical units where ordering is significant)
permutateVarsAndAddToFound(f, sortRepeatedVarsToEnd(f, exclude), f.varNames.length)
else
found.push(f)
}
}
}
return found
}
////////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////
var mantisa = ''
var exponent = ''
var entryMode = "number" // waiting for number to start to be entered
var operators : string[] = []
var operands : Measurement[] = []
var unitSign = 1
var currentMode : string
var exactFormulas : Formulas[]
var implicitFormula : Formulas[] // either 0 or 1
var missingTermFormulas : Formulas[] // TODO
var extraTermFormulas : Formulas[] // TODO
var listedFormulas = implicitFormula
var inxFormulas : number = 0
var knowns : Measurement[] = [new Measurement(0)] // [0] is a placeholder for unknown
// called when HTML loads
window.onload = function() {
// creates a new'd constructor that takes an array of arguments
function create(constructor:Function, argList:any) {
return new (Function.prototype.bind.apply(constructor, [null].concat(argList)))
}
listOfConstants = []
for (var i=0; i<arrayOfConstants.length; i++)
listOfConstants.push(create(Constant, arrayOfConstants[i]))
listOfUnits = []
for (var i=0; i<arrayOfUnits.length; i++)
listOfUnits.push(create(Unit, arrayOfUnits[i]))
listOfFormulas = []
for (var i=0; i<arrayOfFormula.length; i++)
listOfFormulas.push(create(Formulas, arrayOfFormula[i]))
fillTreeInHTML(listOfConstants, 'constTreeView', 'selectConstByName')
fillTreeInHTML(listOfUnits, 'unitTreeView', 'selectUnitByName')
clearButton(true)
wireUpTreeTogglerInHTML()
setButtonMode('mode-norm')
}
function setButtonMode(newMode:string) {
// for each button on the HTML page, takes the text from 'attribute' and assigns it to the button to display
var buttons = document.getElementsByClassName("button")
for (var i = 0; i < buttons.length; i++)
if (buttons[i].getAttribute(newMode) == '')
buttons[i].innerHTML = ' ' // filler to prevent empty buttons from looking tiny
else
buttons[i].innerHTML = buttons[i].getAttribute(newMode)
currentMode = newMode
boldButton('cnst', false)
boldButton('unit', false)
boldButton('list', false)
}
function fillTreeInHTML(listForTree:any[], treeView:string, funcName:string) {
// create list of unique groups
var groups = []
for (var i=0; i<listForTree.length; i++) {
if (!groups.includes(listForTree[i].group))
groups.push(listForTree[i].group)
}
var str = ''
for (i=0; i<groups.length; i++) {
var symName = treeView + '-' + groups[i]
str += `<li> <span class="caret">${groups[i]}</span><ul id="${symName}" class="nested"> </ul> </li>`
}
document.getElementById(treeView).innerHTML = str
for (var i=0; i<listForTree.length; i++) {
var unit = listForTree[i]
var li = `<li onclick="${funcName}('${unit.name}',true)">${unit.desc} (${unit.name})</li>`
document.getElementById(treeView + '-' + unit.group).innerHTML += li
}
}
function wireUpTreeTogglerInHTML() {
var toggler = document.getElementsByClassName("caret")
for (var i = 0; i < toggler.length; i++) {
toggler[i].addEventListener("click", function() {
this.parentElement.querySelector(".nested").classList.toggle("active")
this.classList.toggle("caret-down")
})
}
}
// TODO - remove (also HTML for this)
function debug() {
var i : number
document.getElementById("operators").innerHTML = "---operators---"
for (i=0; i<operators.length; i++)
document.getElementById("operators").innerHTML += "<br>" + operators[i]
document.getElementById("operands").innerHTML = "----operands----"
for (i=0; i<operands.length; i++)
document.getElementById("operands").innerHTML += "<br>" + JSON.stringify(operands[i])
document.getElementById("entryMode").innerHTML = "----entryMode----<BR>" + entryMode
}
// setMessage called onclick in HTML
function setMessage(message?:string) {
if (message == undefined)
message = "Physical Calculator"
document.getElementById("message").innerHTML = message
}
function setDisplay(display:string) {
document.getElementById("display").innerHTML = display
}
function getDisplay() : string {
return document.getElementById("display").innerHTML
}
function updateDisplay() {
if (exponent == '')
setDisplay(mantisa)
else
setDisplay(mantisa + "E" + exponent)
}
function digitButton(symbol : string) {
if (entryMode == 'number')
operands.pop()
if (entryMode == "exponent") {
if (exponent == '0')
exponent = symbol
else
exponent += symbol
}
else {
if (mantisa == '0')
mantisa = symbol
else
mantisa += symbol
entryMode = "mantisa"
}
updateDisplay()
}
function eeButton() {
if (entryMode == "number" || entryMode == "infix") {
// toggle scientific and decimal modes
var val = parseFloat(getDisplay());
if (getDisplay().indexOf('E') == -1 &&
getDisplay().indexOf('e') == -1)
setDisplay(val.toExponential(4))
else
setDisplay(format(val))
}
else {
if (exponent == '')
exponent = '0'
entryMode = "exponent"
updateDisplay()
}
}
function plusMinusButton() {
if (entryMode == "exponent") {
if (exponent.slice(0,1) == '-')
exponent = exponent.slice(1)
else {
if (exponent.slice(0,1) == '+')
exponent = exponent.slice(1)
exponent = '-' + exponent
}
}
else {
if (mantisa.slice(0,1) == '-')
mantisa = mantisa.slice(1)
else
mantisa = '-' + mantisa
}
updateDisplay()
}
// call this before doing an operation
function finishEntry() {
if (entryMode == 'mantisa' || entryMode == 'exponent') {
operands.push(new Measurement(parseFloat(getDisplay())))
mantisa = ''
exponent = ''
entryMode = 'number'
} else if (operands.length == 0)
operands.push(new Measurement(0))
}
function precedence(op : string) : number {
switch (op) {
case '(':
return 0
case '+':
case '-':
return 1
case '*':
case '/':
return 2
case '^':
return 3
}
return -1
}
// returns a 'new' measurement after executing topmost operator and consuming top 2 operands
function evaluateTopOperator() : Measurement {
var y = operands.pop()
var x = operands.pop()
var ret = new Measurement(x.value, x.unitPowers, x.unitNames) // copy x
ret.complexUnits = ''
var i : number
var oper = operators.pop()
switch (oper) {
case '+':
ret.value = x.value + y.value
if (x.unitPowers.toString() != y.unitPowers.toString()) {
ret.unitPowers = [0,0,0,0,0,0,0]
setMessage("Mixed units, converted to scalar")
}
break
case '-':
ret.value = x.value - y.value
if (x.unitPowers.toString() != y.unitPowers.toString()) {
ret.unitPowers = [0,0,0,0,0,0,0]
setMessage("Mixed units, converted to scalar")
}
break
case '*':
ret.value = x.value * y.value
for (i=0; i<7; i++) {
ret.unitPowers[i] = x.unitPowers[i] + y.unitPowers[i]
if (y.unitNames[i] != '')
ret.unitNames[i] = y.unitNames[i] // x unit name was defaulted, but may be blank
}
break
case '/':
ret.value = x.value / y.value
for (i=0; i<7; i++) {
ret.unitPowers[i] = x.unitPowers[i] - y.unitPowers[i]
if (y.unitNames[i] != '')
ret.unitNames[i] = y.unitNames[i] // x unit name was defaulted, but may be blank
}
break
case 'root':
y.value = 1 / y.value
// fallthru
case '^':
if (y.unitPowers.toString() == [0,0,0,0,0,0,0].toString())
powMeasurement(ret, y.value)
else