Calculations

Calculations

• Per-mark quantities on the Marks sheet

  Each mark's own length or area in its unit, with its segments, cut-outs and perimeter as text.

  length = feet × 0.3048 for a metric unit; area = square feet × the unit's factor

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Markup rows under the estimate total

  Labor burden, tax, overhead, profit and bond as live rows: base, percent and amount.

  amount = ROUND(base × percent, 2); percent = basis points ÷ 10000

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• By bid area worksheet

  Each bid area's rows, a subtotal per area and the sum of the subtotals.

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Alternates worksheet

  The base bid, each alternate's rows and amount, and the base bid with every add taken.

  base with adds = base total + Σ add amounts

  Estimate and quantity exports (CSV and XLSX) export.js

  • TakeoffCraft
  64-bit

• Our cost of each item

  The sum of an item's estimate rows: the item, its second conditions and its assembly parts.

  cost = Σ row totals

  Bid packages and leveling level.js

  • TakeoffCraft
  64-bit

• Package scope and cost

  The items of each CSI division with their quantity, unit and cost, and the package's cost.

  package cost = Σ item costs

  Bid packages and leveling level.js

  • TakeoffCraft
  64-bit

• Leveled bids and the low bid

  Each bid with plugs for what it leaves out, its difference from our cost, and which bid is low.

  leveled = bid + Σ plugs; difference = leveled − our cost; low = smallest leveled

  Bid packages and leveling level.js

  • TakeoffCraft
  64-bit

• Package scope file

  The scope sent to a subcontractor: item, CSI number, quantity, unit and sheets, without prices.

  quantity = round(q × 10000) ÷ 10000

  Bid packages and leveling level.js

  • TakeoffCraft
  64-bit

• Base bid with the chosen bids

  The estimate with each awarded package priced at its chosen bid instead of our own rates.

  total = material + labor + Σ chosen bids

  Bid packages and leveling level.js

  • TakeoffCraft
  64-bit

• Markups carried onto a revised sheet

  The points and rectangle of each markup on the new sheet, scaled when the new page has another size.

  k = min(w₂ ÷ w₁, h₂ ÷ h₁); p′ = origin₂ + (p − origin₁) × k

  Carried, stamped and pasted markup geometry slip.js

  • MarkupCraft
  64-bit

• Superseded stamp position

  The rectangle of the Superseded stamp across the top middle of the old sheet.

  w = min(0.4 × page width as read, 432); h = max(36, 0.18 × w); rect = center ± half size

  Carried, stamped and pasted markup geometry slip.js

  • MarkupCraft
  64-bit

• Picture size fitted to a box

  A picture's width and height scaled to fit a maximum size, keeping its proportions.

  k = min(maxW ÷ w, maxH ÷ h, 1e9); size = (w × k, h × k)

  Carried, stamped and pasted markup geometry imagestamp.js

  • MarkupCraft
  64-bit

• Rectangle of a placed picture

  The rectangle of a picture of a given size centered on a point, turned with the page.

  rect = (cx − w ÷ 2, cy − h ÷ 2, cx + w ÷ 2, cy + h ÷ 2), with w and h swapped on a page turned 90° or 270°

  Carried, stamped and pasted markup geometry imagestamp.js

  • MarkupCraft
  64-bit

• Box of copied page content

  The box around the selected objects that becomes the copied page's size.

  box = union of the objects' boxes, grown by max(line width ÷ 2 + 0.5) on every side

  Carried, stamped and pasted markup geometry content-clip.js

  • MarkupCraft
  64-bit

• Transform of pasted content

  The matrix that moves copied content to where it is pasted and turns it to read the same way on the target page.

  T = translate(−cx, −cy) · R(turn) · translate(target); turn = (target rotation − source rotation) mod 360

  Carried, stamped and pasted markup geometry content-clip.js

  • MarkupCraft
  64-bit

• Camera point and view scale

  The camera's X and Y over the markup and the size of the view, in meters.

  k = 0.0254 ÷ 72; cx = (x₀ + x₁) ÷ 2 × k; scale = 1.4 × max(Δx, Δy, 36) × k

  BCF viewpoint of a markup bcf.js

  • MarkupCraft
  64-bit

• Paper sizes in points

  The width and height of each paper size in PDF points.

  inch = 72 points; mm = 72 ÷ 25.4 points; A4 = 210 mm × 297 mm

  Blank pages: paper sizes and grid blank.js

  • MarkupCraft
  64-bit

• Grid lines and dots

  How many grid steps fit inside the margins and where each line or dot is drawn.

  n = floor((size − 2 × margin) ÷ pitch + 1e-6); start = (size − n × pitch) ÷ 2; line i = start + i × pitch

  Blank pages: paper sizes and grid blank.js

  • MarkupCraft
  64-bit

• Value of a number row

  The number handed to the app when a person changes a number box.

  v = min(max, max(min, typed value))

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Rounding of a slider value

  Removes binary noise such as 0.30000000000000004 from a slider's value.

  v = round to (decimals of the step + 2) decimals, at most 8

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Value of a slider row

  The number handed to the app while a slider is dragged or its box is changed.

  v = fix(clamp(value, min, max), step)

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Integer or float

  Decides how a number is written.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Writing a float

  Writes a number as 8 bytes.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Writing an integer

  Writes a whole number in the shortest integer form that holds it.

  Numbers sent between people editing together live-client.js Every app
  Exact

• Reading a float

  Reads a 4-byte or an 8-byte float from a message.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Reading a 64-bit integer

  Reads an unsigned or signed 64-bit integer.

  Numbers sent between people editing together live-client.js Every app
  Exact

• Ray against boxes

  Calls back for every item whose box a ray passes through.

  t₀ = max(nearₐ), t₁ = min(farₐ); hit if t₀ ≤ t₁

  Box tree for picking and collisions m3d/bvh.js

  • CadCraft
  • ModelCraft
  • PartCraft
  64-bit

• Boxes of point lists

  The box of each item from its points, grown by a pad.

  Box tree for picking and collisions m3d/bvh.js

  • CadCraft
  • ModelCraft
  • PartCraft
  64-bit

• Pressure thrust

  The axial force on a blind end or an unbalanced joint.

  F = P × π × Di² ÷ 4

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Variable spring selection

  The spring sizes that carry the hot load and travel within the allowed load variation.

  variation = |travel| × rate ÷ hot load

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Stop clearance check

  Whether the thermal displacement closes a gap or stop.

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Fall along a run

  The corner points with the slope applied to the heights.

  zᵢ = zᵢ − slope × Σ √(Δx² + Δy²)

  Pipe run points with fall applied addons/plant/lib/runs.js

  • BimCraft
  64-bit

• Outside diameter of a run

  The pipe outside diameter in millimeters from the size table.

  od = in × 25.4

  Pipe run points with fall applied addons/plant/lib/runs.js

  • BimCraft
  64-bit

• Length of a sew-line edge

  The length of one edge of the sew line at a size.

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Distance round the outline between two points

  The forward and backward length along the sew line between two snapped points.

  fwd = ((d_b − d_a) mod L + L) mod L; back = (L − fwd) mod L

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Seam walking

  The lengths of two edges, their difference and the notch offsets along the seam.

  diff = lenB − lenA; off = bₖ − aₖ

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Perimeter and area per size

  The sew and cut perimeter and area of each size of a piece.

  area = |Σ shoelace|

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Relative difference

  The fraction by which a coarse result differs from the refined result.

  |a − b| ÷ |b|

  Spread between coarse and refined results study/live.js

  • CadCraft
  • BimCraft
  • DetailCraft
  • PartCraft
  64-bit

• Ring orientation

  The signed area that decides if a ring runs counter-clockwise.

  A = ½ Σ (xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)

  Polygon triangulation by ear clipping ifc/geo-tri.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Cross product and inside test

  Which side of a line a point lies on and whether a point is inside a triangle.

  cross = (bx−ax)(cy−ay) − (by−ay)(cx−ax)

  Polygon triangulation by ear clipping ifc/geo-tri.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Hole bridge

  The vertex of the outer ring a hole is joined to.

  Polygon triangulation by ear clipping ifc/geo-tri.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Ear test

  Whether a corner can be cut off as a triangle.

  Polygon triangulation by ear clipping ifc/geo-tri.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Triangulate rings on a plane

  The triangles of 3D rings that lie on one plane.

  Polygon triangulation by ear clipping ifc/geo-tri.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Measure to SI

  A property value in meters, square meters or cubic meters.

  area = v × L²; volume = v × L³

  IFC measures in SI for USD usd/ifc.js

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

• Ring area

  The area inside a closed outline.

  A = |Σ (xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)| ÷ 2

  Area markup with cut-outs, and clipboard placement holes.js

  • MarkupCraft
  64-bit

• Ring perimeter

  The closed length of an outline.

  P = Σ hypot(Δx, Δy)

  Area markup with cut-outs, and clipboard placement holes.js

  • MarkupCraft
  64-bit

• Segment crossing test

  Whether two segments properly cross, used to reject cut-outs that cross each other or the outline.

  cross = (b − a) × (c − a); crossing if signs differ on both pairs

  Area markup with cut-outs, and clipboard placement holes.js

  • MarkupCraft
  64-bit

• Point in outline

  Whether a point is inside an outline.

  x < (xb − xa)(py − ya) ÷ (yb − ya) + xa

  Area markup with cut-outs, and clipboard placement holes.js

  • MarkupCraft
  64-bit

• Box round copied markups

  The bounding box of all points and rectangles in a clip.

  min and max of all x and y

  Area markup with cut-outs, and clipboard placement clip.js

  • MarkupCraft
  64-bit

• Paste offset

  Moves pasted markups by an offset, or centers them on a point.

  dx = cx − (x₀ + x₁) ÷ 2; x′ = x + dx

  Area markup with cut-outs, and clipboard placement clip.js

  • MarkupCraft
  64-bit