Calculations

Calculations

• Item geometry in drawing units

  An item's box, points and center in drawing coordinates.

  x = x0 + fx × (x1 − x0); y = y0 + fy × (y1 − y0); center = midpoint of the box

  Redline items placed in the drawing redline.js

  • CadCraft
  64-bit

• Cloud arc length and margin

  The arc length of a revision cloud, the margin round the item and the text height of the revision mark.

  base = text height × dimension scale; arc = 4 × base; margin = arc; text = 1.4 × base

  Redline items placed in the drawing redline.js

  • CadCraft
  64-bit

• Revision cloud outline

  The rectangle a revision cloud is drawn round: the item's box grown by the margin.

  x0 − margin, y0 − margin, x1 + margin, y1 + margin

  Redline items placed in the drawing redline.js

  • CadCraft
  64-bit

• Picture scale

  Drawing units per pixel of a pasted picture.

  units per pixel = W ÷ pixel width

  Pasted picture size pastepic.js

  • CadCraft
  64-bit

• Drawing units per millimeter

  The factor that turns a size in millimeters into the drawing's units.

  units per mm = units per point × 72 ÷ 25.4

  Pasted picture size pastepic.js

  • CadCraft
  64-bit

• Size of a copied area

  The width and height a copied area takes in the drawing, on paper or at its real size.

  size = size in mm × units per mm

  Pasted picture size pastepic.js

  • CadCraft
  64-bit

• Region size, enclosing triangle and tolerances

  Measures the region and sets the tolerances every later test uses.

  D = max(Δx, Δy); eps = 1e-13 × D; epsA = 1e-13 × D²

  Triangulation of solid faces acis/cdt.js

  • CadCraft
  • ModelCraft
  64-bit

• Orientation of three points

  Twice the signed area of the triangle a, b, c: positive when anticlockwise.

  (x_b − x_a) × (y_c − y_a) − (y_b − y_a) × (x_c − x_a)

  Triangulation of solid faces acis/cdt.js

  • CadCraft
  • ModelCraft
  64-bit

• In-circle test

  Whether point d lies inside the circle through a, b and c.

  det of rows (a − d, |a − d|²), (b − d, |b − d|²), (c − d, |c − d|²) > 0

  Triangulation of solid faces acis/cdt.js

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  64-bit

• Triangle that holds a point

  Walks from the last triangle to the one a new point falls in.

  Triangulation of solid faces acis/cdt.js

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  • ModelCraft
  64-bit

• Inserting a point

  Adds one point: merged into a corner it coincides with, splitting an edge it lies on, or splitting the triangle it is inside.

  Triangulation of solid faces acis/cdt.js

  • CadCraft
  • ModelCraft
  64-bit

• Do two segments cross

  Whether edge c–d properly crosses boundary segment a–b.

  Triangulation of solid faces acis/cdt.js

  • CadCraft
  • ModelCraft
  64-bit

• Face corners in model units

  The corners of an add-on's solid in the 3D model's units, and where the solid is placed.

  local = (q − o) × k; translation = o × k

  Add-on solids placed on the 3D tab addons/cadcraft-api.js

  • CadCraft
  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

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  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
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  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

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  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
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  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
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  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
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  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
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  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
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  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
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  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
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  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
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  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
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  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
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  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

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  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  Exact

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  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

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  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
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  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
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  64-bit

• 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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  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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

  • CadCraft
  64-bit

• 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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  64-bit