Calculations

Calculations

• Clip polygon in drawing coordinates

  The clip polygon of a reference moved from the block's coordinates into the drawing.

  M = m · insert matrix; point = M · p

  Clipping block references to a boundary xclip.js

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• Clip read from a file

  Turns the clip boundary stored in a DWG or DXF file into the polygon kept on the reference.

  point = I · (T · p), with T the clip transform and I the inverse block transform (3 × 4 each)

  Clipping block references to a boundary xclip.js

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• Objects cut to the clip when binding

  The objects of a block cut to the clip polygon: whole when inside, as line and arc pieces when crossing.

  Clipping block references to a boundary xclip.js

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• New clip boundary into block coordinates

  Stores a boundary picked in the drawing as a polygon in the block's own coordinates.

  d = m₀·m₃ − m₁·m₂; inv = adjugate ÷ d; stored point = inv · picked point

  Clipping block references to a boundary xclip.js

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• Paper sizes

  The two home-printer papers, in millimeters.

  A4 = 210 × 297; Letter = 215.9 × 279.4 (8.5 × 11 in × 25.4)

  Printing patterns at full size addons/apparel/lib/print.js

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• Test square

  The side of the square printed on the cover page to check the scale.

  10 cm = 100 mm; 4 in = 101.6 mm

  Printing patterns at full size addons/apparel/lib/print.js

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• Full-size page

  The page size and the placement of the pieces on a single full-size page.

  w = (maxX − minX)·k + 2·margin; h = (maxY − minY)·k + 2·margin + 8; matrix = [k, 0, 0, k, margin − minX·k, margin − minY·k]

  Printing patterns at full size addons/apparel/lib/print.js

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• Tile grid

  How many tiles across and down the pieces need.

  pw = paper w − 2·margin; ph = paper h − 2·margin − 8; step = pw − overlap, ph − overlap; cols = max(1, ⌈(W − overlap) ÷ step − 1e-9⌉)

  Printing patterns at full size addons/apparel/lib/print.js

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• Which tiles have something on them

  Marks the tiles a point of the drawing falls on, so empty tiles are not printed.

  c from ⌈(x − pw) ÷ sx⌉ to ⌊x ÷ sx⌋; r from ⌈(−y − ph) ÷ sy⌉ to ⌊−y ÷ sy⌋

  Printing patterns at full size addons/apparel/lib/print.js

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• Placement on one tile

  Where the pieces land on the page of one tile.

  tx = c·sx; ty = −r·sy; matrix = [k, 0, 0, k, margin − tx − minX·k, (paper h − margin − 8) − ty − maxY·k]

  Printing patterns at full size addons/apparel/lib/print.js

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• Rule units per drawing unit

  The factor between the drawing's unit and the cabinet rules' unit, and its reciprocal.

  per = meters per drawing unit ÷ (0.0254 or 0.001); k = 1 ÷ per

  Cabinets along a wall line addons/cabinet/main.js

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• Placing a cabinet on the run

  The insertion point and rotation of a new cabinet, and where the next one starts.

  w = typed × per; x = runₓ + cos(ang)·pos·k; y = runᵧ + sin(ang)·pos·k; next pos = pos + w

  Cabinets along a wall line addons/cabinet/main.js

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• Cabinets of a front view

  Which cabinets stand on a wall line and how far along it, for the front view.

  on the run when |sin(rot − ang)| ≤ 1e-6, cos(rot − ang) ≥ 0 and |offset| ≤ 0.5 × depth × k; x = s ÷ k − smallest x, rounded to 6 decimals

  Cabinets along a wall line addons/cabinet/main.js

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• Area as text

  The area of a material group on the command line.

  in² ÷ 144 = ft²; mm² ÷ 1e6 = m²; 3 decimals

  Cabinets along a wall line addons/cabinet/main.js

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• Edge banding length as text

  The length of edge banding on the command line.

  in ÷ 12 = ft; mm ÷ 1000 = m; 3 decimals

  Cabinets along a wall line addons/cabinet/main.js

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• Sheet use in percent

  The share of each material's sheets covered by parts, as printed after nesting.

  percent = round(efficiency × 100)

  Cabinets along a wall line addons/cabinet/main.js

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• Meters per drawing unit

  The factor that turns a drawing length into meters.

  inch 0.0254; foot 0.3048; yard 0.9144; mm 0.001; cm 0.01; m 1

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Number read from an attribute

  Turns attribute text such as a load, voltage or breaker rating into a number.

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Load of a library item

  The watts of a placed library item from its kW, amps and volts, or horsepower attributes.

  W = kW × 1000; or A × V (× √3 for three phase); or hp × 746

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Load per circuit

  The total watts on each circuit and the circuit's current.

  watts = Σ load of the devices on the circuit

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Circuit current

  The current a circuit draws.

  I = W ÷ (V × pf); three phase: I = W ÷ (√3 × V × pf)

  Installation loads and cable lengths addons/electrical/lib/install.js

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• RCD trip current from text

  Reads the milliamps a circuit's RCD text names.

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Route network

  Builds the network of cable routes: nodes, and edges with their lengths, split where one route's end lands on another.

  split point = a + (b − a) × u; edge length = √(Δx² + Δy²)

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Device joined to the nearest route

  Connects a board or device to the nearest point of a route within reach, and counts the drop.

  drop = √d²; split lengths = len × u and len × (1 − u)

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Shortest routes from the board

  The shortest distance from the board to every node of the route network.

  Dijkstra: dist[v] = min(dist[v], dist[u] + len)

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Cable length of a circuit

  The meters of cable a circuit needs.

  meters = Σ used edges × meters per unit + devices reached × 0.5 + 1

  Installation loads and cable lengths addons/electrical/lib/install.js

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• Squared distance from a point to a segment

  How far a point is from a wire segment, and where along the segment the nearest point lies.

  u = clamp((p − a)·(b − a) ÷ |b − a|², 0, 1); q = a + u (b − a); d² = |p − q|²

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• Points within a radius

  Finds the stored points within a distance of a point.

  match when (Δx² + Δy²) ≤ r²

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• What a wire end connects to

  Joins a wire end to other wire ends, to pins and to the middle of other wires that it touches.

  connected when distance² ≤ tol², tol = 0.05

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• Where a wire number goes

  The middle and direction of the longest segment of a net, for its wire number.

  x = (aₓ + bₓ) ÷ 2; y = (a_y + b_y) ÷ 2; rot = atan2(Δy, Δx) turned into (−π ÷ 2, π ÷ 2]

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• Which wire a wire number belongs to

  Assigns each wire number to the nearest wire within reach.

  nearest segment with d² ≤ 3²

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• Junction dots

  Places a dot at each junction and removes dots that no longer mark one.

  a dot marks a junction when d² ≤ max(tol, 0.2)²

  Schematic wires, pins and connections addons/electrical/lib/wires.js

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• Transform of a placed symbol

  The matrix that takes a symbol's own coordinates to the drawing.

  a = cos r × sx; b = sin r × sx; c = −sin r × sy; d = cos r × sy; e = x − (a bₓ + c b_y); f = y − (b bₓ + d b_y)

  Schematic wires, pins and connections addons/electrical/lib/symbols.js

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• A point through the transform

  Applies a symbol's matrix to a point.

  x′ = a x + c y + e; y′ = b x + d y + f

  Schematic wires, pins and connections addons/electrical/lib/symbols.js

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• Pin positions of a placed symbol

  The drawing positions of a symbol's connection points.

  Schematic wires, pins and connections addons/electrical/lib/symbols.js

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• Pin offsets written to the block

  Formats a pin offset for the block's EL attribute text.

  text = round(n × 1000) ÷ 1000

  Schematic wires, pins and connections addons/electrical/lib/symbols.js

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• Attribute text kept upright

  Decides which attribute texts of a rotated symbol would read upside down and turns them half round.

  turn when cos(rot + text rot) ≤ −1e-9

  Schematic wires, pins and connections addons/electrical/lib/symbols.js

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