Calculations

Calculations

• Length of a linear mark

  The counted, deducted and gross length of a run in feet, along the slope where a segment is a rake or a hip.

  segment ft = segment length × ftPerUnit; sloped = segment ft × slope factor; length = Σ counted sloped segments; gross = length + deducted

  Takeoff quantities from marks model.js

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• Area and perimeter of an area mark

  The net area of an outline minus its cut-outs in square feet, on the slope when the mark or its item has a pitch, and its perimeter in feet.

  area = net × ftPerUnit × ftPerUnit × √(1 + (pitch ÷ 12)²); perimeter = perimeter × ftPerUnit

  Takeoff quantities from marks model.js

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• Totals per item and per sheet

  Each item's total length, area, perimeter and count, and the same per sheet, with back-outs taken out and typical groups counted as many times as they repeat.

  item total = Σ marks (measure × repeat); area mark = max(0, area − back-out × slope factor)

  Takeoff quantities from marks model.js

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• Back-out area taken from an area mark

  How many square feet the back-out marks on the same sheet cover of one area mark.

  cut = (Σ overlap areas in sheet units) × ftPerUnit × ftPerUnit

  Takeoff quantities from marks model.js

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• Totals in the item's unit

  An item's length, area, perimeter, height and count in the unit the item reports in, as the values assembly formulas use.

  L = feet × 0.3048 for a metric item; A = square feet × the unit's factor; wall area = length × height

  Takeoff quantities from marks model.js

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• Quantity of a second condition

  The quantity of an item's second kind of mark in that condition's own unit.

  Takeoff quantities from marks model.js

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• One priced row

  A row's quantity with waste and its material, labor and total amounts in cents.

  qtyW = qty × (1 + waste ÷ 10000); amount = round(qtyW × rate ÷ 100) cents; total = material + labor

  Priced estimate model.js

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• Crew hours and labor

  The crew hours, worker hours, crew days and labor amount for a quantity, and the labor rate per unit it comes to.

  hours = qtyW ÷ production; worker hours = hours × size; days = hours ÷ 8; labor = round(worker hours × wage ÷ 100) cents; rate = round(size × wage ÷ production)

  Priced estimate model.js

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• Estimate rows and totals

  A row for every item, second condition and assembly part, and the material, labor, hours and grand totals.

  material total = Σ row material; labor total = Σ row labor; total = material + labor; days = hours ÷ 8

  Priced estimate model.js

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• Estimate of each bid area

  A separate estimate for each bid area, from that area's own marks.

  Priced estimate model.js

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• Alternates

  What taking each alternate adds to or takes from the base bid.

  amount = + Σ row totals for an add; − Σ row totals for a deduct

  Priced estimate model.js

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• Rounding of exported quantities and amounts

  How a quantity, an amount in cents and a rate become the numbers written to a file.

  quantity → 4 decimals; dollars = cents ÷ 100 → 2 decimals; rate = rate ÷ 10000

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

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• Estimate as CSV

  The estimate's rows, totals, alternates and bid summary as values in a CSV file.

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

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• Per-sheet quantities as CSV

  Each item's quantity on each sheet as a CSV row.

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

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• Material list

  Every part and priced item added up by name and unit across the takeoff.

  per name and unit: qty = Σ row qty; qty with waste = Σ row qtyW; material = Σ row cents

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

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• Estimate by division

  Material, labor and total per division, from the first two digits of each item's CSI number.

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

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• Spot elevation point file

  The count marks of one sheet that carry an elevation, as northing, easting and elevation in feet.

  northing = y × ftPerUnit; easting = x × ftPerUnit; elevation = z

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

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• Estimate worksheet row

  One priced row of the Estimate sheet: values, live formulas and the cached results.

  F = D × (1 + E); I = ROUND(F × G, 2); J = ROUND(F × H, 2); K = I + J

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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• Paper length of a notation in inches

  Reads a fraction, a mixed number or a decimal as inches.

  1-1/2 → 1 + 1 ÷ 2; 1/4 → 1 ÷ 4

  Sheet scale read from the sheet's text scaletext.js

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• Ratio of a notation and its listed scale

  Every scale notation in the text, each matched to a listed scale.

  ratio = (feet × 12 + inches) ÷ paper inches, rounded to 3 decimals

  Sheet scale read from the sheet's text scaletext.js

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• Which scale a sheet gets

  The most frequent scale on the sheet, and the other scales found.

  Sheet scale read from the sheet's text scaletext.js

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• Stock figure from text

  Reads a stock cell such as 1,200 or Out of stock as a number, or as in stock or not.

  Supplier stock and lead-time check lib-supply/supply.js

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• Lead time in days

  Reads a lead time such as 2-3 weeks or 5 business days as a number of days.

  weeks × 7; months × 30; business days → ⌈n × 7 ÷ 5⌉; result rounded to 0.1 day

  Supplier stock and lead-time check lib-supply/supply.js

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• Price from text

  Reads a price cell as a whole number of 1/10000 dollar.

  price = round(n × 10000)

  Supplier stock and lead-time check lib-supply/supply.js

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• A need in the supplier's unit

  The needed quantity in the unit the supplier's row uses.

  tonnes = kilograms ÷ 1000

  Supplier stock and lead-time check lib-supply/supply.js

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• Short, late or in stock

  For each need: the matching supplier row, the shortfall and the status.

  short = max(0, need − stock); late: no stock figure and lead > limit

  Supplier stock and lead-time check lib-supply/supply.js

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• Values in the reported problems

  The required and found values of a shortage or a long lead time in the problems list.

  Supplier stock and lead-time check lib-supply/supply.js

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• Stock figure from text

  Reads a stock cell such as 1,200 or Out of stock as a number, or as in stock or not.

  Supplier stock and lead-time check supply.js

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• Lead time in days

  Reads a lead time such as 2-3 weeks or 5 business days as a number of days.

  weeks × 7; months × 30; business days → ⌈n × 7 ÷ 5⌉; result rounded to 0.1 day

  Supplier stock and lead-time check supply.js

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• Price from text

  Reads a price cell as a whole number of 1/10000 dollar, the unit the takeoff's rates use.

  price = round(n × 10000)

  Supplier stock and lead-time check supply.js

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• Short, late or in stock

  For each estimate row with a quantity: the matching supplier row, the shortfall and the status.

  short = max(0, need − stock); late: no stock figure and lead > limit

  Supplier stock and lead-time check supply.js

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• Values in the reported problems

  The required and found values of a shortage or a long lead time in the problems list.

  Supplier stock and lead-time check supply.js

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• Supplier prices into the price library

  Sets a library entry's material rate to the matching supplier row's price.

  Supplier stock and lead-time check supply.js

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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• 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

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