Calculations

Calculations

• Host doors and windows onto the nearest wall

  Puts each door or window of the host model on the room wall nearest its middle, with its offset along that wall.

  s = (p − a)·u; off = |(p − a) × u|; at = clamp(s − w ÷ 2, 0, len − w)

  Room outline, walls and openings addons/cabinetcraft/lib/fromroom.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Room point back in the host's axes

  Converts a point in the room's own axes to millimeters in the host model.

  X = ox + x × k, k = 25.4 for an inch job, else 1

  Room outline, walls and openings addons/cabinetcraft/lib/fromroom.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Island frames

  The origin and axes of each island's front row and back row.

  u = (cos a, sin a), a = rot × π ÷ 180; back row origin = o + u × len

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Layout tolerance and largest automatic filler

  The two limits the layout compares against.

  tol = 0.01; maxFiller = conv(75, unit)

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• End-face swing of a cabinet on a bay

  How far the end face of a straight cabinet on a curved bay swings toward the neighboring run.

  tilt = d × sin(atan2(w ÷ 2, √(r² − w² ÷ 4)))

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Is a corner a right angle

  Decides whether a corner cabinet fits a room corner.

  square when |turn − 90| < 0.01 degrees

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Where the later run stops at a corner

  How far short of a room corner a run stops so it clears the run on the other wall.

  stop = flat + tilt(A) + tilt(B) + flat² ÷ (2r); flat = other run's depth at 90°

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Wedge filler triangle at an angled corner

  The three corners of the triangular void left where two runs meet at an angle that is not 90 degrees.

  tri = [corner, corner ± u × leg1, corner + n × depth]

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Automatic filler width

  The width of the filler that closes the gap between the last cabinet and the end of the span.

  rest = end − start − used; filler = rest when tol < rest ≤ maxFiller

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Position of each cell along its run

  The distance from the start of the wall to each cabinet, filler and end panel.

  xᵢ₊₁ = xᵢ + wᵢ; stored xᵢ rounded to 6 decimals

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• First cabinet on a curve moved clear of the previous run

  On a curved wall that starts at a room corner, how far the first cabinet is moved along so it does not overlap the previous run's last cabinet.

  bisection on [0, 600 mm], 40 halvings; clash when overlap > 1e-6

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Straight countertop length and width

  The length and width of a countertop over a straight run of base cabinets.

  length = x₁ − x₀ + overhang at each open end; width = depth + front overhang + seat

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Countertop on a curved wall

  The outline and area of a one-piece countertop that follows cabinets stepped along a curved wall.

  area = |Σ (xᵢ yᵢ₊₁ − xᵢ₊₁ yᵢ)| ÷ 2

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Corner cabinet countertop

  The outline and area of the countertop over a corner cabinet.

  area = shoelace of the outline; length = width = √area

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Extent of a cell along its wall

  The stretch of wall each cell covers, used to test it against doors and windows.

  curved wall: min and max of (corner − a)·u; straight: [x, x + w]

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• End panel height

  The height of an end panel beside a cabinet.

  height = cabinet height − kick height

  Cabinet run layout and countertops addons/cabinetcraft/lib/project.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Wall frame to room coordinates

  Turns a distance along a wall and a distance out from it into a room point.

  p = o + u × s + n × o′

  Cabinet run layout and countertops addons/cabinetcraft/lib/footprint.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Floor footprint of each cell

  The polygon each cabinet and end panel covers on the floor, its bounding box and its height range.

  Cabinet run layout and countertops addons/cabinetcraft/lib/footprint.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• How far two footprints overlap

  The penetration depth of two convex polygons, 0 when they are apart or only touch.

  for each edge normal n: overlap = min(a₁, b₁) − max(a₀, b₀) of the projections; result = smallest overlap

  Cabinet run layout and countertops addons/cabinetcraft/lib/footprint.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Gap between two rectangles

  The distance between two axis-aligned rectangles.

  gap = √(dx² + dy²), dx and dy the clear distances on each axis, 0 when they overlap on it

  Cabinet run layout and countertops addons/cabinetcraft/lib/footprint.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Gap between two sets of convex polygons

  The smallest distance between two footprints made of convex pieces, 0 when they touch or overlap.

  Cabinet run layout and countertops addons/cabinetcraft/lib/footprint.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• One cabinet in plan

  The cabinet seen from above in its own frame, with its fronts, number and width label.

  W = w × k; D = d × k; label = round(w × 100) ÷ 100

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/draw.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Front view of a run

  Each cabinet's box, plinth and fronts along the run, x along the wall and y up from the floor.

  X = x × k; front at (X + f.x × k, base + f.y × k)

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/draw.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Frame of a run from two wall points

  The origin, angle and length of a run picked by two points on a wall and a point in the room.

  len = √(Δx² + Δy²); left = (room − a) × u; ang = atan2(u_y, uₓ)

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/draw.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Point in a run's frame

  The distance along a run and out from the wall of a point.

  s = Δx cos a + Δy sin a; off = −Δx sin a + Δy cos a

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/draw.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Cabinet in section

  The side panel, bottom, top or rails, back, shelves, plinth, fronts and drawer boxes of a cabinet cut through its middle.

  shelf i of n: y = bottom + (top − bottom) × (i + 1) ÷ (n + 1) − t ÷ 2

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/draw.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Drawing extent and SVG coordinates

  The size of a drawing and the coordinates written into its SVG.

  W = x₁ − x₀; H = y₁ − y₀; each coordinate written as round(v × 1e6) ÷ 1e6

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Cabinets placed on the room plan

  The rectangle of each cabinet, filler and end panel in room coordinates.

  corner = toWorld(frame, s + x, o)

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Room dimensions on the plan

  The overall width and depth dimensions of the room.

  label = fmtLen(W, unit)

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Foreshortened width on a curved wall

  The drawn width of a cabinet that is turned on a curved wall, in the elevation.

  kₓ = max(0.05, (ext₁ − ext₀) ÷ w); drawn width = w × kₓ

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Overall run length and height in the elevation

  The total length of a run and the height to the top of its tallest cabinet.

  length = b − a; top = max(elevation + height)

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Section of one cabinet with dimensions

  The section view of one cabinet with its face frame, fronts, overall depth and height.

  depth shown = d + frame thickness + front thickness

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/drawings.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Cabinet panels as boxes

  The carcass panels, back, shelves, plinth and fronts of a cabinet as boxes in its own frame.

  shelf i of n: z = bottom + (top − bottom) × (i + 1) ÷ (n + 1) − t ÷ 2

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/solid.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Boxes placed in the drawing

  The faces of each box in drawing coordinates, for the 3D tab.

  X = x + lx cos r − ly sin r; Y = y + lx sin r + ly cos r; Z = (z + elev) × k

  Cabinet plan, elevation, section and 3D boxes addons/cabinetcraft/lib/solid.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Numbers read from a G-code line

  Splits a line into its letter and number words.

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Arc move length

  The length of a G2 or G3 move in the XY plane, with any Z change.

  r = |start − center|; sweep = a₁ − a₀ wrapped to the move's direction; len = √((r × |sweep|)² + Δz²)

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Arc move extent

  The bounding box of an arc move.

  extent = end points ∪ {center + r × (cos q, sin q)} for q = 0°, 90°, 180°, 270° inside the sweep

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Straight move length

  The length and extent of a straight move.

  len = √(Δx² + Δy² + Δz²)

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Extent of the whole program

  The smallest and largest X, Y and Z any move reaches.

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Total cutting and rapid length

  The summed length of the cutting moves and of the rapid moves.

  cutLen = Σ len over cutting moves; rapidLen = Σ len over rapids

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Deepest cut and cut through the stock

  The lowest Z of any cutting move and how far it goes below the bottom of the sheet.

  deepest = min z; through = max(0, −deepest − thickness)

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Cutting and rapid time

  The minutes the cutting moves and the rapids take at their feed rates.

  minutesCut = Σ len ÷ feed; minutesRapid = rapidLen ÷ rapid rate

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Hole edge distance

  How close the rim of each face hole comes to the edge of its panel.

  e = min(x − r, L − x − r, y − r, W − y − r), r = d ÷ 2

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Rounding of reported values

  Rounds a value of the report to 3 decimals.

  r3(v) = round(v × 1000) ÷ 1000

  G-code dry run and hole check addons/cabinetcraft/lib/dryrun.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Amount of one estimate row

  The amount of a row from its quantity and rate.

  amount = round(qty × rate × 100) ÷ 100; shown qty = round(qty × 1000) ÷ 1000

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Price of one sheet

  The price of a sheet of the job's size from the price of the stock sheet.

  rate = round(base × (w × h × k²) ÷ (2440 × 1220), 2 decimals), k = 25.4 for an inch job

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Number of sheets

  How many sheets of a material the job needs.

  nested: sheets used; else n = max(1, ⌈cut area × 1.15 ÷ (w × h)⌉)

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Edge banding length priced

  The meters of each edge banding, with waste, and its rate.

  meters = length ÷ 1000 × k × (1 + waste), k = 25.4 for an inch job

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Frame stock priced

  The price per meter of face-frame stock scaled from a 38 × 19 mm board, and the meters needed.

  rate = base × (width ÷ 38) × (thickness ÷ 19), in mm; meters = length ÷ 1000 × k × 1.1

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Countertop priced

  The price of each countertop from its length and width.

  amount = (length ÷ 1000 × k) × round(base × (width × k ÷ 600), 2 decimals)

  Cabinet job cost estimate addons/cabinetcraft/lib/estimate.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit