Calculations

Calculations

• Convert between two units

  A value in one unit as a value in another unit of the same kind.

  result = v × (n₁ × d₂) ÷ (d₁ × n₂)

  Unit conversion unit-table.js Every app
  Exact

• Typed text to a unit

  What was typed, with its unit, as a value in the unit the field wants.

  3 yd typed into a feet field = convert(3, yd, ft) = 9

  Unit conversion unit-table.js Every app
  Exact

• A value to the base unit

  A number in any unit as meters, square meters, cubic meters, radians or rise over run.

  base = v × n ÷ d (v × π × n ÷ d for degrees and gons)

  Unit conversion unit-table.js Every app
  64-bit

• A base value to a unit

  A stored base value as a number in the unit shown.

  value = base × d ÷ n (base ÷ π × d ÷ n for degrees and gons)

  Unit conversion unit-table.js Every app
  64-bit

• Task duration

  A task's duration in days, counting its start and finish day.

  duration = finish − start + 1

  Construction schedule dates and critical path schedule-io.js

  • BimCraft
  Exact

• Date read from a project file

  Turns a date and time from a project XML file into a day number.

  day = date part of the text

  Construction schedule dates and critical path schedule-io.js

  • BimCraft
  Exact

• Link lag read from a project file

  Converts a dependency's lag from tenths of a minute to whole days.

  lag (days) = Math.round(LinkLag ÷ 10 ÷ minutes per day)

  Construction schedule dates and critical path schedule-io.js

  • BimCraft
  64-bit

• Offset of each dependency

  Turns each link type and lag into the least number of days between the two tasks' starts.

  FS: d = dur_pred + lag; SS: lag; FF: dur_pred + lag − dur_succ; SF: lag − dur_succ

  Construction schedule dates and critical path schedule-io.js

  • BimCraft
  Exact

• Early and late dates, float and the critical path

  Each task's earliest start and finish, latest start and finish, float, and whether it is critical.

  ES = max(own start, ES_pred + d); EF = ES + dur − 1; LS = min(finish − dur + 1, LS_succ − d); float = LS − ES

  Construction schedule dates and critical path schedule-io.js

  • BimCraft
  Exact

• Unit sizes

  Builds each unit's row: its fraction of the base unit and the factor used for quick conversion.

  factor = n ÷ d (× π for degrees and gons)

  Unit table: reading and writing values unit-table.js Every app
  Exact

• Numbers and fractions

  Reads 6, 6.5, 6 1/2, 6-1/2 or 1/2 as a number.

  whole + numerator ÷ denominator

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Feet and inches

  Reads 12'6", 12'-6 1/2" or 6" as inches.

  inches = feet × 12 + inches

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Degrees, minutes and seconds

  Reads 45°30'15" or 45d30m15s as degrees.

  degrees + minutes ÷ 60 + seconds ÷ 3600

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Slopes

  Reads 2%, 3H:1V, 1:3 or 6/12 as a grade (rise over run).

  percent ÷ 100; H:V → V ÷ H; rise:run → rise ÷ run

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Writing feet and inches

  Writes a length as feet, inches and a fraction of an inch.

  n = round(|inches| × den); feet = ⌊n ÷ 12den⌋; inches = ⌊rest ÷ den⌋; fraction = rest ÷ den, reduced

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Writing degrees, minutes and seconds

  Writes an angle as degrees, minutes and seconds.

  t = round(|degrees| × 3600 × 10^dec); split by 3600 and 60

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Writing decimals

  Writes a number with a fixed count of decimals.

  text = v.toFixed(dec)

  Unit table: reading and writing values unit-table.js Every app
  64-bit

• Date text as a day number

  A YYYY-MM-DD date as a count of days since 1970-01-01.

  day = Date.UTC(y, m, d) ÷ 86400000

  4D schedule dates and status ifc-4d.js

  • BimCraft
  Exact

• Built, in progress or waiting on a date

  The state of every element that belongs to a task, on a chosen day.

  built if day > finish; in progress if start ≤ day ≤ finish; waiting if day < start

  4D schedule dates and status ifc-4d.js

  • BimCraft
  Exact

• Task counts of a stage or package

  How many tasks of a group are done, running and still to do on a day.

  4D schedule dates and status ifc-4d.js

  • BimCraft
  Exact

• Time of day to seconds

  Turns HH:MM text into seconds.

  seconds = h × 3600 + m × 60

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  Exact

• Weekly on-intervals

  The merged list of on-intervals in a week, with windows that pass midnight wrapped.

  length = to − from (+ one day if the end is not after the start)

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  Exact

• On time between two instants

  The total seconds the calendar is on between two times.

  Σ (off − on) over the on-intervals inside [a, b]

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  64-bit

• Factor from text

  A factor from a plain number, a percent of the size, or a percent change.

  f = n; n ÷ 100; 1 ± n ÷ 100

  Typed scale factors and shrinkage allowance scale-factors.js

  • ModelCraft
  • PartCraft
  64-bit

• Shrinkage allowance

  The pattern factor for a casting that shrinks by a percentage.

  add: 1 + s ÷ 100; exact: 1 ÷ (1 − s ÷ 100)

  Typed scale factors and shrinkage allowance scale-factors.js

  • ModelCraft
  • PartCraft
  64-bit

• Defining constants

  The pound, standard gravity, inch and foot, and the pound-force, gallon and British thermal unit built from them.

  lbf = 0.45359237 × 9.80665; gal = 231 × 0.0254³; BTU = 1055.05585262 J

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  Exact

• Unit table

  Each unit's factor to SI and its dimension.

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  Exact

• SI prefixes

  A prefixed unit such as kPa or mm from its base unit.

  factor = prefix × unit factor

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Combining units

  The factor and dimension of a product or quotient of two units.

  f = f_a × f_bᵉ; dimension = d_a + e × d_b

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Reading a unit text

  Turns a text such as W/(m^2 K) into one factor and one dimension.

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Value to SI

  A value in a given unit as its SI value.

  SI = v × f

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Value from SI

  An SI value in a given unit.

  v = SI ÷ f

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Unit to unit

  A value converted from one unit to another of the same kind.

  result = v × f_from ÷ f_to

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Temperature points

  Celsius and Fahrenheit readings to and from kelvin.

  K = °C + 273.15; K = (°F − 32) × 5 ÷ 9 + 273.15

  Engineering units: factors, dimensions and conversion engineer/eng-units.js

  • PartCraft
  64-bit

• Typed length to feet

  Normalizes what was typed and reads it as one length, or as arithmetic over lengths.

  Typed lengths and item units units.js

  • TakeoffCraft
  64-bit

• One length with a metric unit, or feet and inches

  Reads one normalized length into feet.

  ft = meters ÷ 0.3048

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact

• Numbers and fractions in a typed length

  Splits the text into numbers, fractions and foot or inch marks.

  fraction = a ÷ b (integers)

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact

• Feet and inches combined

  Combines a feet part and an inches part (whole number plus fraction) into feet.

  ft = feet + (inches + fraction) ÷ 12

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact

• Bare number in the default unit to feet

  Converts a number in feet, inches, meters, centimeters or millimeters to feet.

  ft = v ÷ 12; ft = v ÷ 0.3048; ft = v ÷ 1000 ÷ 0.3048

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact

• Item unit factors

  The factor from feet or square feet to each unit an item can be reported in.

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact

• Feet and square feet into an item's unit

  Converts a length in feet or an area in square feet to the unit that goes with an item.

  m = ft × 0.3048; area = sf × perSqFt

  Typed lengths and item units units.js

  • TakeoffCraft
  Exact