Calculations

Calculations

• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• Frame grid in drawing coordinates

  The frame's matrix, its inverse and the box of the whole paper in the drawing.

  det = m₀·m₃ − m₁·m₂; inverse = adjugate ÷ det

  Sheet and path of a point on a schematic addons/electrical/lib/project.js

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• Path column of a point

  The column number, 1 to the column count, of a point inside a frame; 0 when it is left or right of the grid.

  path = min(cols, ⌊(x − gx0) ÷ ((gx1 − gx0) ÷ cols)⌋ + 1)

  Sheet and path of a point on a schematic addons/electrical/lib/project.js

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• Does a wire segment cross the slash

  Whether two segments cross or touch.

  o(p, q, r) = sign((q − p) × (r − p)); cross when o₁ ≠ o₂ and o₃ ≠ o₄

  Cores of a cable on a schematic addons/electrical/lib/reports.js

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• Wires of a cable in order

  The wires a cable marker crosses, sorted along the marker, which gives each core its number.

  Cores of a cable on a schematic addons/electrical/lib/reports.js

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• Millimeters per drawing unit

  The factor that takes the source drawing's unit to millimeters.

  inches 25.4; feet 304.8; centimeters 10; meters 1000; anything else 1

  Symbols imported from another drawing addons/electrical/lib/symlib.js

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• Geometry scaled to millimeters

  Every line, polyline, circle, arc, ellipse, hatch and text of the block moved to its base point and scaled.

  x′ = (x − base x) × s; r′ = r × s

  Symbols imported from another drawing addons/electrical/lib/symlib.js

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• Connection points found on the outline

  The points where wires connect: terminal attributes, or the ends of leads that leave the symbol's outline straight.

  tol = max(width, height) × 0.001 + 1e-9

  Symbols imported from another drawing addons/electrical/lib/symlib.js

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• Stored pin coordinates

  The connection points written into the symbol's data.

  x = round(x × 1000) ÷ 1000

  Symbols imported from another drawing addons/electrical/lib/symlib.js

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• Plant coordinates in drawing units

  The position and size of each P&ID symbol and line placed in the drawing.

  k = 1 ÷ perUnit(doc, 'mm'); x′ = x × k

  P&ID objects drawn from a built plant addons/pid/lib/process-link.js

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• 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

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• 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

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• 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

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• Values on the code summary sheet

  Required and found values on the printable code summary for a permit set.

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

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• Column widths and row heights

  Shares the inner opening between columns or rows: typed sizes keep theirs, the others split what is left equally.

  each free size = (avail − Σ typed) ÷ free count

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Inner opening

  The opening inside the frame, and the space left for the columns after the mullions.

  inner w = W − 2f; inner h = H − f − tf; columns share inner w − (n − 1) × m

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Cut length of a profile piece

  The length a piece is sawn to, with the welding allowance, and the merging of equal pieces into one row.

  cut = outer + (mitred ends) × weld ÷ 2

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Steel reinforcement length

  The length of the steel inside a PVC profile.

  steel = max(10, length − 2 × setback)

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Sash and glass sizes

  The size of an opening sash and of the glass in a sash or in the frame.

  sash = cell + 2 (overlap − gap); glass in a sash = sash − 2 × face + 2 (seat − glass gap); glass in the frame = cell + 2 (frame seat − glass gap)

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Glass rows and area

  One row per glass size with its quantity and the area of one pane.

  area = round(gw × gh) ÷ 10⁶ m²

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Hardware and gasket quantities

  Handles, hinges, locking points, strikers, packers, connectors and the meters of each gasket for a set of windows.

  locks = max(2, ⌈perimeter ÷ lock pitch⌉); sash gasket = 2 (w + h) ÷ 1000 m; glass gasket = 4 (gw + gh) ÷ 1000 m

  Window and door pieces, glass and hardware addons/windows/lib/model.js

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• Millimeters per drawing unit

  The factor between the drawing's units and the builder's millimeters, and its reciprocal stored with each window.

  mm per drawing unit = per × 25.4 (inch rules) or per × 1; kmm = 1 ÷ that

  Window and door pieces, glass and hardware addons/windows/main.js

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• Typed opening size

  A size typed as width x height in drawing units, as millimeters.

  w = typed w × mm per drawing unit

  Window and door pieces, glass and hardware addons/windows/main.js

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• 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

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• 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

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• 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

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• 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

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• 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

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• Raw double, read

  A 64-bit value read from eight bytes of the bit stream.

  Numbers in a DWG file, read and written bit for bit dwg/bits-read.js

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• Bit double, read

  A value stored as a two-bit code: a full 64-bit value, exactly 1.0 or exactly 0.0.

  Numbers in a DWG file, read and written bit for bit dwg/bits-read.js

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