Calculations

Calculations

• Writing an object's transform

  Stores an object's placement in the exported scene.

  USD transforms and placement usd/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  64-bit

• Attribute value to its storage type

  Converts a list of numbers to the number type its USD attribute type calls for.

  USD mesh coordinates in saved and exported files usd/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Mesh points and extent

  Stores the points of a mesh and its bounding box in the scene.

  extent = [min x, min y, min z, max x, max y, max z] of the points

  USD mesh coordinates in saved and exported files usd/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Lamp intensity

  Converts a lamp's lumens to the intensity a renderer reads.

  intensity = lumens ÷ (683 × area × π)

  USD mesh coordinates in saved and exported files usd/build.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit, display only

• Single values in the binary file

  Writes one number, tuple or matrix into the binary USD file.

  USD mesh coordinates in saved and exported files usd/usdc-write.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  64-bit

• Arrays in the binary file

  Writes an array of numbers into the binary USD file.

  USD mesh coordinates in saved and exported files usd/usdc-write.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Reading a mesh

  The points, faces and attached values of a mesh read from a USD scene.

  USD mesh coordinates in saved and exported files usd/geom.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Built-in shapes as meshes

  A cube, sphere, cylinder, cone, capsule or plane of a USD scene as a mesh.

  ring point = (r·cos θ, r·sin θ, z), θ = 2π·j ÷ 24

  USD mesh coordinates in saved and exported files usd/geom.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  64-bit

• Point coordinates

  The x, y and z of one point record.

  x = X × scaleₓ + offsetₓ (and the same for y and z)

  LAS and LAZ point coordinates las.js

  • CadCraft
  • BimCraft
  • CivilCraft
  64-bit

• Scale, offset and bounds from the header

  Reads the header's scale, offset, minimum and maximum and refuses a scale that cannot be used.

  LAS and LAZ point coordinates las.js

  • CadCraft
  • BimCraft
  • CivilCraft
  64-bit

• 64-bit counts and offsets

  Reads an unsigned 64-bit integer (LAS 1.4 point count, extended record positions and lengths).

  value = hi × 2³² + lo

  LAS and LAZ point coordinates las.js

  • CadCraft
  • BimCraft
  • CivilCraft
  64-bit

• Points the file really holds

  The number of whole point records between the first point and the end of the point data.

  available = ⌊(end − offset to points) ÷ record length⌋, at most the header's count

  LAS and LAZ point coordinates las.js

  • CadCraft
  • BimCraft
  • CivilCraft
  Exact

• Registered position of a point

  One point in the registered frame: its stored position plus the scan's origin, moved by the scan's matrix.

  p = M × (pos + origin)

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  32-bit in part

• Bounds of the registered cloud

  The minimum and maximum x, y, z over every moved point, and the point count.

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  32-bit in part

• LAS scale and offset

  Chooses the scale and offset the LAS file stores its integer coordinates with.

  scale = first of 0.0001, 0.001, 0.01, 0.1, 1 with extent ÷ scale < 2e9; offset = ⌊min ÷ 100⌋ × 100

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  64-bit

• LAS point record

  Stores one point's x, y, z as integers in the LAS file.

  X = round((p − offset) ÷ scale)

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  32-bit in part

• E57 point record

  Stores one point's x, y, z in an E57 data packet and widens the scan's bounds.

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  32-bit in part

• Numbers written as text in the E57 header

  Writes a bound or a time stamp as text in the E57 XML section.

  Registered scans written as LAS and E57 scan-export.js

  • CadCraft
  • BimCraft
  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

• Picked room corner

  A corner of the room outline picked on the plan, snapped to the grid.

  p = round(x ÷ g) × g; g = 50 (mm job) or 2 (inch job)

  CabinetCraft room picking and dry-run units addons/cabinetcraft/main.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Direction of the picked outline

  Whether the corners were picked clockwise, which decides the sign of each arc's sweep.

  Σ (xᵢ × yᵢ₊₁ − xᵢ₊₁ × yᵢ) < 0 means clockwise

  CabinetCraft room picking and dry-run units addons/cabinetcraft/main.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Sheet size in the program's units

  The sheet size, thickness and rapid rate the dry run checks a G-code program against.

  k = (1 ÷ 25.4 or 1) × (25.4 or 1); sheet = job sheet × k; rapid (inch program) = rapid ÷ 25.4

  CabinetCraft room picking and dry-run units addons/cabinetcraft/main.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Numbers on labels and the maker review

  Writes a number with at most 2 decimals.

  text = round(v × 100) ÷ 100

  CabinetCraft room picking and dry-run units addons/cabinetcraft/main.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

• Drilling distances in inches

  The 32 mm system's drilling and hardware distances for the inch rule set.

  value = round(mm × (1 ÷ 25.4) × 10⁴) ÷ 10⁴

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Box sizes

  The box height without the plinth, the inside width and the depth the back takes.

  boxH = h − kick; iw = w − 2t; backDepth = backSetback + backT

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Door and drawer front sizes

  The size and position of every door and drawer front in the cabinet's front view.

  one door: (w − reveal) × (boxH − reveal); a pair: each (w − 2·reveal) ÷ 2 wide; n drawer fronts: each (boxH − n·reveal) ÷ n high

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Longest drawer slide that fits

  Picks the drawer slide length from the rule's list for the cabinet's inside depth.

  room = panel depth − backDepth − drawerBackClear; the longest listed L with L ≤ room + 1e-9

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Part list of one cabinet

  Every part of a cabinet with its length, width, thickness, material, quantity and banded edges.

  back in grooves: (iw + 2·groove) × (boxH − n·t + n·groove); shelf: (iw − 2·shelfClear) × (inside depth − shelfFront); drawer end: iw − 2·slideGap − 2·drawerT

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Size checks on a cabinet

  Reports a cabinet that is too narrow, too low or too shallow for its parts, or whose drawers do not fit.

  iw ≤ 0; boxH ≤ 2t; inside depth ≤ shelfFront; Σ fronts + n·reveal > boxH + 1e-9

  Cabinet parts from a box and construction rules addons/cabinetcraft/lib/model.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Linear stock to buy

  The number of pieces and the total length of each hardwood section in the job.

  length = Σ qty × length; pieces = Σ qty

  Cabinet job totals: linear stock and sheet count addons/cabinetcraft/lib/sheets.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Sheets used by a nested job

  The total number of sheets over all materials, with each material's own count and efficiency.

  sheets = Σ sheets per material

  Cabinet job totals: linear stock and sheet count addons/cabinetcraft/lib/sheets.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  Exact

• Label position on the sheet

  Where each label is printed on the page, so that it lands on the die-cut label.

  x = left + col × (label width + gap x); y = top + row × (label height + gap y)

  Part labels on label sheets addons/cabinetcraft/lib/cutlist/labels.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Bar code module width

  The width of the narrowest bar of a label's Code 128 bar code, fitted to the space beside the id text.

  module = min(0.33 mm, room ÷ (code width + 20))

  Part labels on label sheets addons/cabinetcraft/lib/cutlist/labels.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Tightest limit of a rule

  The minimum and maximum a rule allows when several ticked packs have it.

  min = max(minᵢ); max = min(maxᵢ)

  Regulation limits in force and how values are written addons/regs/lib/adapter.js

  • CadCraft
  • BimCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Values written in a problem

  How a required or found value is written in a regulation problem, by unit.

  mm: round(v × 10) ÷ 10; m²: round(v × 100) ÷ 100; ratio and U: 2 decimals; R: 1 decimal; count: whole

  Regulation limits in force and how values are written addons/regs/lib/adapter.js

  • CadCraft
  • BimCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Percentages as text

  A percentage written in the panel, in problems and on the code summary sheet.

  round(v × 10) ÷ 10, then the browser's number format with at most one decimal

  Regulation limits in force and how values are written addons/regs/lib/ui.js

  • CadCraft
  • BimCraft
  • CivilCraft
  • DetailCraft
  64-bit