Calculations

Calculations

• Outline simplified

  Removes corners that lie within a tolerance of the line between their neighbors.

  d = |(p − a) × (b − a)| ÷ |b − a| ≤ 1.0 px

  Room outline by flood fill roomfill.js

  • TakeoffCraft
  64-bit

• Room outline back in sheet units

  Sets the raster scale and the door gap in pixels, and maps the outline's pixel corners back to sheet coordinates.

  gapPx = gap ÷ ftPerUnit × per × w; p = T⁻¹·(q ÷ w)

  Room outline by flood fill takeoffcraft.js

  • TakeoffCraft
  64-bit

• Where the two sheets differ

  Marks each pixel as removed, added or unchanged, and counts both kinds.

  removed: old ≥ 0.35 and max(new within r) < 0.2; added: the reverse

  Revision overlay: what changed under a mark overlay.js

  • TakeoffCraft
  64-bit

• How much changed along a mark

  The share of a mark's path with changed ink beside it, whether a corner changed, and the changed pixels near it.

  share = samples with changed ink within the buffer ÷ samples

  Revision overlay: what changed under a mark overlay.js

  • TakeoffCraft
  64-bit

• Changed pixels in a box

  How many changed pixels lie in a rectangle of the mask.

  n = S[y₁+1][x₁+1] − S[y₀][x₁+1] − S[y₁+1][x₀] + S[y₀][x₀]

  Revision overlay: what changed under a mark overlay.js

  • TakeoffCraft
  Exact

• Raster sizes and the mark test

  Chooses the two raster scales, builds the pixel map between them and tests every mark of the old sheet.

  px = min(2, √(12,000,000 ÷ (W × H)))

  Revision overlay: what changed under a mark takeoffcraft.js

  • TakeoffCraft
  64-bit

• Arcs as Bézier curves for drawing

  Turns a run or an outline into move, line and curve commands.

  k = 4 ÷ 3 × tan(φ ÷ 4); c₁ = p₀ + k·r·tangent₀; c₂ = p₃ − k·r·tangent₁

  Marks and sheets written to PDF geom.js

  • TakeoffCraft
  64-bit

• A mark's path written to the page

  Writes a mark's commands as PDF path operators.

  Marks and sheets written to PDF pdfmarks.js

  • TakeoffCraft
  64-bit

• Quantities printed in the legend

  The quantity of each item on that sheet, as text in the page's legend.

  Marks and sheets written to PDF pdfmarks.js

  • TakeoffCraft
  64-bit

• A drawing's lines written as vector paths

  Writes each batch of the drawing's lines to the PDF page under the sheet's matrix.

  width = max(0.25, lw × 72 ÷ 25.4 [× 0.5]) ÷ scale

  Marks and sheets written to PDF cadpdf.js

  • TakeoffCraft
  64-bit

• Unit conversions to the factor table's basis

  How many meters, square meters, cubic meters or items one of each takeoff unit is.

  CY → m³: × 0.764554858 (exact: 0.9144³ = 0.764554857984)

  Embodied carbon from quantities carbon.js

  • TakeoffCraft
  64-bit

• Quantity in the factor's basis

  Converts a line's quantity with waste into the unit its carbon factor is given in.

  qty = qtyW × factor; kg basis: qtyW × factor × density

  Embodied carbon from quantities carbon.js

  • TakeoffCraft
  64-bit

• Kilograms per line and the total

  The carbon of each line for the chosen modules, and their sum.

  kg = qty × (A1–A3 + A4 + A5); total = Σ kg

  Embodied carbon from quantities carbon.js

  • TakeoffCraft
  64-bit

• Carbon lines written to a file

  Writes each line's quantity and kilograms to a CSV file.

  written = round(v × 100) ÷ 100

  Embodied carbon from quantities carbon.js

  • TakeoffCraft
  64-bit