Calculations

Calculations

• Minimum and maximum of a variable

  The range shown for each variable in the Variables panel.

  CraftScript values: storage, reading and number text cs-values.js

  • PartCraft
  64-bit

• Numeric data as 64-bit

  Gives builtins a Float64Array of any numeric value.

  CraftScript values: storage, reading and number text cs-values.js

  • PartCraft
  64-bit

• Vertex placement and unit scale

  Moves every mesh vertex to where the file places it and converts it to the part's unit.

  p′ = (M · p) ÷ w × s; s = meters per file unit × 1000

  3DM mesh import: placement and units mesh3dm.js

  • PartCraft
  64-bit

• Combined block placement

  Multiplies the placement of a block by the placement of the block inside it.

  (A · B)ᵢⱼ = Σₖ Aᵢₖ × Bₖⱼ

  3DM mesh import: placement and units mesh3dm.js

  • PartCraft
  64-bit

• Readout rounding and flux units

  The text of each number in the results panel.

  text = v to p significant digits (p = 4 by default); flux in mWb when |Φ| ≥ 10⁻³ Wb, else µWb

  Magnetics add-on: readouts in the panel addons/magnetics/main.js

  • PartCraft
  64-bit

• Air box size

  The width and height of the air box shown under the setup.

  margin = max(width, height) × pad; box = extent + 2 × margin

  Magnetics add-on: readouts in the panel addons/magnetics/main.js

  • PartCraft
  64-bit

• Quantity and mass per row

  Counts the placed parts of each row and works out the mass of one and of all.

  mass each g = V mm³ × ρ g/cm³ ÷ 1000; total = each × quantity

  Manual parts list: quantities and mass illustrate/parts-list.js

  • PartCraft
  64-bit

• Same shape test

  Decides whether two parts with the same number or name are one row.

  |V₁ − V₂| ≤ 10⁻⁶ × max(V₁, 1) and |A₁ − A₂| ≤ 10⁻⁶ × max(A₁, 1)

  Manual parts list: quantities and mass illustrate/parts-list.js

  • PartCraft
  64-bit

• Mass and volume text

  The text of the mass and volume cells in the table and the CSV.

  volume: 3 decimals; mass ≥ 1000 g: kg with 3 decimals; otherwise g with 2 decimals

  Manual parts list: quantities and mass illustrate/parts-list.js

  • PartCraft
  64-bit

• Unit sizes in meters

  The length of a meter, a foot and a US survey foot used for elevations.

  ft = 0.3048 m; US survey ft = 1200 ÷ 3937 m

  GIS import: reprojection and elevation units gis-read.js

  • CivilCraft
  Exact

• Features placed in the project

  Reprojects every vertex of every layer and scales its elevation.

  z′ = z × (source unit in m ÷ project unit in m)

  GIS import: reprojection and elevation units gis-read.js

  • CivilCraft
  64-bit

• Middle of the data in longitude and latitude

  Finds where the imported data lies, to suggest a coordinate system near it.

  c = (min + max) ÷ 2 of the bounding box

  GIS import: reprojection and elevation units gis-read.js

  • CivilCraft
  64-bit

• Survey points given as latitude and longitude

  Converts point-file rows in degrees to project coordinates.

  GIS import: reprojection and elevation units gis-read.js

  • CivilCraft
  64-bit

• Grades and vertical curves

  Builds the grades between PVIs and the curve at each interior PVI.

  g = Δz ÷ Δsta; A = (g₂ − g₁) × 100; L = K × |A|; z_BVC = z_PVI − g₁ × L ÷ 2; x_high/low = −g₁ × L ÷ (g₂ − g₁)

  Vertical profile: grades and parabolic curves profile.js

  • CivilCraft
  64-bit

• Design elevation at a station

  The profile's elevation at any station.

  z = z_BVC + g₁ × x + (g₂ − g₁) × x² ÷ (2L), x = sta − BVC; on a tangent z = zᵢ + g × (sta − staᵢ)

  Vertical profile: grades and parabolic curves profile.js

  • CivilCraft
  64-bit

• Grade at a station

  The profile's slope at any station.

  g = g₁ + (g₂ − g₁) × (sta − BVC) ÷ L

  Vertical profile: grades and parabolic curves profile.js

  • CivilCraft
  64-bit

• Existing ground along the alignment

  Samples the surface's elevation at regular stations and at the alignment's key stations.

  step = length ÷ 1000, at least 0.5; stations: start, start + step, …, end, plus key stations

  Vertical profile: grades and parabolic curves profile.js

  • CivilCraft
  64-bit

• Default rate table

  The rates by radius and the relative gradient a new corridor starts with.

  Superelevation: runoff, runout and lane slopes superelev.js

  • CivilCraft
  64-bit

• Rate for a radius

  Looks up the superelevation rate of a curve.

  Superelevation: runoff, runout and lane slopes superelev.js

  • CivilCraft
  64-bit

• Runoff, runout and transition stations

  The lengths and stations of the transition into and out of each curve.

  L_r = lane × e ÷ Δ; L_t = (NC ÷ e) × L_r; without a spiral: level at TS − ⅔L_r, full at TS + ⅓L_r

  Superelevation: runoff, runout and lane slopes superelev.js

  • CivilCraft
  64-bit

• Outside lane slope through a transition

  The cross slope of the outside lane at a station.

  runout: NC − NC × (x − nc₀) ÷ L_t; runoff: −e × (x − lc₀) ÷ L_r; result = max(up, down, −e)

  Superelevation: runoff, runout and lane slopes superelev.js

  • CivilCraft
  64-bit

• Lane slopes at a station

  The fall-away slope of the left and right lanes.

  inside = max(NC, −outside)

  Superelevation: runoff, runout and lane slopes superelev.js

  • CivilCraft
  64-bit

• Line taken from the team

  Turns shared geometry into feature line points in the drawing's unit.

  k = 1 (same unit), 0.3048 (ft → m) or 1 ÷ 0.3048 (m → ft); p′ = p × k

  Shared feature lines: units and geometry team-lines.js

  • CivilCraft
  64-bit

• Line sent to the team

  Turns a feature line into the points that are shared.

  Shared feature lines: units and geometry team-lines.js

  • CivilCraft
  64-bit

• One point into its cell

  Decides whether an incoming point is kept, replaces the cell's point, or is dropped.

  i = ⌊(x − oₓ) ÷ cell⌋; key = i × 2³² + (j + 2³¹); nearest: d² = (fₓ − i − ½)² + (f_y − j − ½)²

  Thinning point clouds to a spacing thin.js

  • CivilCraft
  64-bit

• The thinned points

  Returns one point per occupied cell.

  average mode: x̄ = Σx ÷ n, ȳ = Σy ÷ n, z̄ = Σz ÷ n

  Thinning point clouds to a spacing thin.js

  • CivilCraft
  64-bit

• Grid step for a spacing

  How many grid nodes to skip so an elevation grid is thinned to about the spacing asked for.

  n = max(1, round(spacing ÷ cell size))

  Thinning point clouds to a spacing thin.js

  • CivilCraft
  64-bit

• Estimate of points kept

  Tells the import dialog about how many points a thinning will keep.

  kept ≈ Σ min(points × f, cell area × f ÷ spacing² + 1), f = part of the coarse cell inside the area

  Thinning point clouds to a spacing thin.js

  • CivilCraft
  64-bit

• Scale of a pasted picture

  Works out how big one pixel of the copied area is in the model.

  mm per pixel = width in mm ÷ width in pixels

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture size in millimeters

  The width and height of the picture in the model.

  w = pixelsₓ × mm per pixel; h = pixels_y × mm per pixel

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture corners

  The four corners of the picture's outline.

  corner = middle ± size ÷ 2

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture values read from a file

  Checks a picture's numbers when a model is opened.

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Length of a linear mark

  The counted, deducted and gross length of a run in feet, along the slope where a segment is a rake or a hip.

  segment ft = segment length × ftPerUnit; sloped = segment ft × slope factor; length = Σ counted sloped segments; gross = length + deducted

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• Area and perimeter of an area mark

  The net area of an outline minus its cut-outs in square feet, on the slope when the mark or its item has a pitch, and its perimeter in feet.

  area = net × ftPerUnit × ftPerUnit × √(1 + (pitch ÷ 12)²); perimeter = perimeter × ftPerUnit

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• Totals per item and per sheet

  Each item's total length, area, perimeter and count, and the same per sheet, with back-outs taken out and typical groups counted as many times as they repeat.

  item total = Σ marks (measure × repeat); area mark = max(0, area − back-out × slope factor)

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• Back-out area taken from an area mark

  How many square feet the back-out marks on the same sheet cover of one area mark.

  cut = (Σ overlap areas in sheet units) × ftPerUnit × ftPerUnit

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• Totals in the item's unit

  An item's length, area, perimeter, height and count in the unit the item reports in, as the values assembly formulas use.

  L = feet × 0.3048 for a metric item; A = square feet × the unit's factor; wall area = length × height

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• Quantity of a second condition

  The quantity of an item's second kind of mark in that condition's own unit.

  Takeoff quantities from marks model.js

  • TakeoffCraft
  64-bit

• One priced row

  A row's quantity with waste and its material, labor and total amounts in cents.

  qtyW = qty × (1 + waste ÷ 10000); amount = round(qtyW × rate ÷ 100) cents; total = material + labor

  Priced estimate model.js

  • TakeoffCraft
  64-bit

• Crew hours and labor

  The crew hours, worker hours, crew days and labor amount for a quantity, and the labor rate per unit it comes to.

  hours = qtyW ÷ production; worker hours = hours × size; days = hours ÷ 8; labor = round(worker hours × wage ÷ 100) cents; rate = round(size × wage ÷ production)

  Priced estimate model.js

  • TakeoffCraft
  64-bit

• Estimate rows and totals

  A row for every item, second condition and assembly part, and the material, labor, hours and grand totals.

  material total = Σ row material; labor total = Σ row labor; total = material + labor; days = hours ÷ 8

  Priced estimate model.js

  • TakeoffCraft
  64-bit

• Estimate of each bid area

  A separate estimate for each bid area, from that area's own marks.

  Priced estimate model.js

  • TakeoffCraft
  64-bit

• Alternates

  What taking each alternate adds to or takes from the base bid.

  amount = + Σ row totals for an add; − Σ row totals for a deduct

  Priced estimate model.js

  • TakeoffCraft
  64-bit

• Rounding of exported quantities and amounts

  How a quantity, an amount in cents and a rate become the numbers written to a file.

  quantity → 4 decimals; dollars = cents ÷ 100 → 2 decimals; rate = rate ÷ 10000

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Estimate as CSV

  The estimate's rows, totals, alternates and bid summary as values in a CSV file.

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Per-sheet quantities as CSV

  Each item's quantity on each sheet as a CSV row.

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Material list

  Every part and priced item added up by name and unit across the takeoff.

  per name and unit: qty = Σ row qty; qty with waste = Σ row qtyW; material = Σ row cents

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Estimate by division

  Material, labor and total per division, from the first two digits of each item's CSI number.

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Spot elevation point file

  The count marks of one sheet that carry an elevation, as northing, easting and elevation in feet.

  northing = y × ftPerUnit; easting = x × ftPerUnit; elevation = z

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Estimate worksheet row

  One priced row of the Estimate sheet: values, live formulas and the cached results.

  F = D × (1 + E); I = ROUND(F × G, 2); J = ROUND(F × H, 2); K = I + J

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit