Calculations

Calculations

• Rounding of the solved value

  Replaces the solved value by the roundest number near it that still solves the equation.

  first of round(x, d decimals) for d = 0…10, then x to 12 significant digits, that keeps |f| within tolerance; else x

  Parameters and equations params.js

  • CadCraft
  • PartCraft
  64-bit

• Edited dimension written back to a parameter

  When a driven value is edited, changes the driving parameter behind its equation, or rewrites a constant equation to the new number.

  Parameters and equations params.js

  • CadCraft
  • PartCraft
  64-bit

• Value typed for a parameter

  Sets a driving parameter to a typed value, or solves the driving parameter behind a driven one.

  Parameters and equations params.js

  • CadCraft
  • PartCraft
  64-bit

• Removing a parameter and writing its value in

  Removes a parameter and, when asked, writes its current value into every expression that used it.

  Parameters and equations params.js

  • CadCraft
  • PartCraft
  64-bit

• Design table row made permanent

  Writes a set of override values into the parameters.

  Parameters and equations params.js

  • CadCraft
  • PartCraft
  64-bit

• Rule read into the library

  Checks a rule from a file or from storage and sets the base size's move to zero.

  Grade rule library addons/apparel/lib/rules.js

  • CadCraft
  64-bit

• Rule applied to a piece

  A library rule as moves for a piece's own size range and units.

  move = round to 6 decimals of (m − base) × k; k = 1, 25.4 or 1 ÷ 25.4

  Grade rule library addons/apparel/lib/rules.js

  • CadCraft
  64-bit

• Rules read from a RUL file

  Turns a RUL file's rules into library entries measured from the sample size.

  move = value for the size − value for the sample size

  Grade rule library addons/apparel/lib/rules.js

  • CadCraft
  64-bit

• Rules written to a RUL file

  Writes the library's rules as the delta lines of a RUL file.

  Grade rule library addons/apparel/lib/rules.js

  • CadCraft
  64-bit

• Face-frame default sizes

  The stile and rail width, overlay and door gap a job uses when it sets none.

  stile = rail = 38 mm; overlay = 12 mm; gap = 3 mm; inch job: round(mm ÷ 25.4 × 16) ÷ 16

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Carcass depth behind a face frame

  The depth the carcass is built with when a face frame takes part of the cabinet's depth.

  d = max(1, d − frame thickness)

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Face-frame openings and overlay fronts

  The rails, the openings between them and the doors or drawer fronts that cover each opening.

  opening h = (box h − (2 + mids) × rail) ÷ (mids + 1); front h = opening h + lap below + lap above; pair door w = (opening w + 2 × overlay − gap) ÷ 2

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Door and blind panel of a blind corner

  The door over the open part of a blind corner cabinet and the panel over the blind part.

  door w = (w − blind) − reveal; panel w = blind − reveal; h = box h − reveal

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Part size stored in the cut list

  Adds one part with its length, width, thickness and material.

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Frame rail length and counts

  The length of the frame's rails and how many rails and mid rails a cabinet needs.

  rail length = w − 2 × stile − blind

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Doors and drawer fronts counted by size

  Groups equal fronts into one cut-list line with a quantity.

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  Exact

• Drawer boxes of a face-frame cabinet

  The sides, ends and bottom of each drawer box behind a face frame.

  box h = min(front h − clearance, opening h − 20 mm); end = bw − 2t; bottom = (bw − 2t + 2g) × (slide − 2t + 2g); bw = opening w − 2 × slide gap

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Dowels of a corner cabinet

  The number of dowels a corner cabinet's drilling needs.

  dowels = dowel holes ÷ 2

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Curved cabinet outline in the cell's own axes

  The outline points of a made-to-order curved cabinet, measured from the cell's origin along its two axes.

  (x′, y′) = ((q − o) · u, (q − o) · n)

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Closing panel of an angled corner

  The height of the panel that closes a corner which is not a right angle.

  height = cabinet h − plinth height

  CabinetCraft parts, fronts and face frames addons/cabinetcraft/lib/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Job converted to the other unit

  Every size in the job converted from millimeters to inches or back when the job's unit is changed.

  to inches: round(v × (1 ÷ 25.4) × 16) ÷ 16; to millimeters: round(v × 25.4)

  Cabinet job edits that change sizes addons/cabinetcraft/lib/edit.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Gap at a door or window

  The width of the gap put in a run's floor row so that the cabinets after it clear an opening.

  width = ⌈(at + w + clear − start) × 10⌉ ÷ 10

  Cabinet job edits that change sizes addons/cabinetcraft/lib/edit.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Filler for a leftover

  Adds a filler as wide as the space a row leaves on its wall.

  filler width = rest, when 0.5 < rest ≤ 75 mm

  Cabinet job edits that change sizes addons/cabinetcraft/lib/edit.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Notch of a new L or U room

  The first size of the notch when a rectangular room is made L or U shaped.

  notch width = round(W ÷ 3); notch depth = round(D ÷ 2)

  Cabinet job edits that change sizes addons/cabinetcraft/lib/edit.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Cables and their routes

  One cable per circuit with its route length, plus the fill of every tray and conduit it runs in.

  point in mm = plan point × (meters per unit × 1000); cable route = the longest of the board-to-device routes

  Cable routes in trays and conduits on the installation plan addons/electrical/lib/carriers.js

  • CadCraft
  64-bit

• Fill rows for the list

  The rows of the tray and conduit fill list, with the fill percentage and whether it is within the limit.

  pct = round(fill % × 10) ÷ 10

  Cable routes in trays and conduits on the installation plan addons/electrical/lib/carriers.js

  • CadCraft
  64-bit

• Tray size in the layer name

  The layer name that records what a route is: a tray of a width and depth, or a conduit of a type and trade size.

  EL-ROUTE-TRAY-round(width)Xround(depth)

  Cable routes in trays and conduits on the installation plan addons/electrical/lib/carriers.js

  • CadCraft
  64-bit

• Harness segment lengths

  The length in millimeters of each drawn harness segment.

  len = √(Δx² + Δy²) ÷ k (k = drawing units per mm), unless a length is typed

  Wire lengths through a harness or a cabinet addons/harness/lib/route.js

  • CadCraft
  64-bit

• Shortest route between two nodes

  The segments a wire runs through and their total length.

  len = Σ segment lengths along the shortest path

  Wire lengths through a harness or a cabinet addons/harness/lib/route.js

  • CadCraft
  64-bit

• Bundle diameter

  The diameter of a bundle of wires from their outside diameters.

  D = √(Σ dᵢ² ÷ packing)

  Wire lengths through a harness or a cabinet addons/harness/lib/route.js

  • CadCraft
  64-bit

• Cut length of each wire

  Each wire's length with its end allowances, and which wires share each harness segment.

  harness: route + 2 × allow + loop; cabinet: (|Δx| + |Δy|) × slack + 2 × allow + loop

  Wire lengths through a harness or a cabinet addons/harness/lib/route.js

  • CadCraft
  64-bit

• Fixture positions for the calculation

  Each fixture's position in millimeters, its height and its aim, as the engine reads them.

  p = (x ÷ k, y ÷ k, height)

  Illuminance values written on the lighting plot addons/lighting/lib/lux.js

  • CadCraft
  64-bit

• Lux written at the grid points

  The text objects that show the illuminance at each grid point in the drawing.

  text = round(E); position = grid point × k

  Illuminance values written on the lighting plot addons/lighting/lib/lux.js

  • CadCraft
  64-bit

• Pieces from quantities

  One entry per piece to cut, from rows with a quantity.

  Cutting profile pieces from stock bars addons/windows/lib/cutlist/bars.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Length a bar takes

  The length of bar used by a set of pieces, with the saw kerf and the saving when mitred ends share a cut.

  used = Σ (length + kerf) − depth × min(⌊mitred ends ÷ 2⌋, mitred pieces − 1)

  Cutting profile pieces from stock bars addons/windows/lib/cutlist/bars.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Fewest bars for one stock length

  Which pieces go on which bar, and whether the count is proven to be the fewest.

  bound = ⌈Σ (length + kerf) ÷ usable − 1e-9⌉; usable = stock − trim at both ends

  Cutting profile pieces from stock bars addons/windows/lib/cutlist/bars.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Bars, cut positions, offcuts and waste

  The list of bars with each piece's start position, the offcut left on each bar and the totals.

  pos accumulates length + kerf; offcut = stock − trims − used; waste % = round((1 − piece length ÷ stock length) × 10⁴) ÷ 100

  Cutting profile pieces from stock bars addons/windows/lib/cutlist/bars.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Totals over all profiles

  The number of bars, the piece length, the stock length and the waste over every profile and color.

  waste = Σ stock length − Σ piece length

  Cutting profile pieces from stock bars addons/windows/lib/cutlist/bars.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Lineweight to stored index

  The index written for a lineweight, or the codes for by layer, by block and default.

  index of the list value with the smallest |value − lineweight|

  Lineweights in a DWG file dwg/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  Exact

• Stored index to lineweight

  The lineweight for an index read from a file.

  Lineweights in a DWG file dwg/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  Exact

• Longest clear part of a move

  The part of a straight move that stays clear of other solids.

  steps = min(160, max(4, ⌈|δ| ÷ (thin ÷ 2)⌉)); then 24 halvings between the last clear and the first blocked sample

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Thinnest dimension

  The smallest box side of the moving pieces and of everything in the way, which sets the sample spacing.

  thin = max(0.005, min over boxes of the smallest side above 1e-4)

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Edge through the inside of a face

  Whether a segment passes through a face's interior.

  sₚ = n·p − d, s_q = n·q − d; t = sₚ ÷ (sₚ − s_q)

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Point in a face

  Whether a point on a face's plane lies in one of its triangles.

  u, v from cross products ÷ |n|²; inside when u, v, 1 − u − v ≥ −1e-9

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Point inside a solid

  Whether a point lies inside the closed surface made of an object's faces.

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Ray against a triangle

  The distance along a ray to a triangle, or nothing when it misses.

  det = e₁·(d × e₂); u = (s·(d × e₂)) ÷ det; v = (d·(s × e₁)) ÷ det; t = (e₂·(s × e₁)) ÷ det

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Box of a placed component

  The bounding box in the model of a component's faces and edges, from its own coordinates and its placement matrix.

  X = (m₀x + m₄y + m₈z + m₁₂) ÷ w

  Where a moved solid stops against another m3d/collide.js

  • CadCraft
  • ModelCraft
  64-bit

• Monod growth in a batch or fed-batch vessel

  Concentrations of biomass, substrate and product, the volume, and their masses at each output time.

  μ = μmax × S ÷ (Ks + S); dX/dt = (μ − kd) X − D X; dS/dt = −(μ ÷ Yxs + m) X + D (Sf − S); dP/dt = (α μ + β) X − D P; dV/dt = F; D = F ÷ V

  Fermentation (Monod kinetics) process/batch.js

  • CadCraft
  • BimCraft
  64-bit

• Lower and higher heating value

  The heat released by burning one mole of a component, with the water formed as vapor or as liquid.

  LHV = h_f − n_C × h_f(CO2) − (n_H ÷ 2) × h_f(H2O gas); HHV uses h_f(H2O liquid)

  Process emissions (CO2 equivalent) process/emissions.js

  • CadCraft
  • BimCraft
  64-bit

• Complete combustion of a stream

  The CO2 and water produced, the oxygen needed and the heat released when a stream is burned.

  CO2 = Σ nᵢ × Cᵢ; H2O = Σ nᵢ × Hᵢ ÷ 2; O2 = Σ nᵢ × (Cᵢ + Hᵢ ÷ 4 − Oᵢ ÷ 2); kg CO2 = CO2 × 0.04401

  Process emissions (CO2 equivalent) process/emissions.js

  • CadCraft
  • BimCraft
  64-bit