Calculations

Calculations

• Typed unit rate

  Reads a rate such as $1,234.5 into whole 1 ÷ 10000 dollars.

  rate4 = round(roundTo(v, 4) × 10000)

  Rates, percentages and extended amounts units.js

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• Typed percentage

  Reads a percentage such as 7.5 % into whole basis points.

  bp = round(roundTo(v, 2) × 100)

  Rates, percentages and extended amounts units.js

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• Quantity × rate to the cent

  The extended amount of a line in whole cents.

  cents = round(qty × rate4 ÷ 100)

  Rates, percentages and extended amounts units.js

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• Quantity with waste

  A quantity increased by a waste percentage.

  qtyW = qty × (1 + bp ÷ 10000)

  Rates, percentages and extended amounts units.js

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• Cents as dollars text

  Writes whole cents as $1,234.56.

  Rates, percentages and extended amounts units.js

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• Typed bid amount to cents

  Reads an amount typed into the bid leveling sheet as whole cents.

  cents = round(rate4 ÷ 100)

  Rates, percentages and extended amounts takeoffcraft.js

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• Typed pitch to rise per 12

  Reads 6:12, 6/12, 4:10, a bare rise, or an angle in degrees.

  rise = tan(a·π ÷ 180) × 12; rise = rise ÷ run × 12

  Roof pitch and slope factors units.js

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• Slope factor of a roof plane

  Surface length or area per unit of plan length or area.

  f = √(1 + (rise ÷ 12)²)

  Roof pitch and slope factors units.js

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• Hip and valley factor

  True length of a hip or valley per unit of its plan length.

  f = √(1 + (rise ÷ 12)² ÷ 2)

  Roof pitch and slope factors units.js

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• Pitch as text

  Writes the rise as 6:12 or 6.5:12.

  Roof pitch and slope factors units.js

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• Signed coordinate length

  Reads one typed coordinate, which may be negative or zero, into feet.

  Typed distances and coordinates while drawing typein.js

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• Sheet direction of a screen direction

  The unit vector on the sheet that points along a given direction on the screen.

  u = M⁻¹·(sx, −sy); u ÷ |u|

  Typed distances and coordinates while drawing typein.js

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• Point from typed text

  Works out the next point from a distance, a distance and angle, or coordinates.

  p = last + dir × ft × k, k = 1 ÷ ftPerUnit

  Typed distances and coordinates while drawing typein.js

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• Circle radius typed while drawing

  Places a circle's edge point at a typed radius from its center, toward the pointer.

  edge = c + (to − c) ÷ |to − c| × ft ÷ ftPerUnit

  Typed distances and coordinates while drawing takeoffcraft.js

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• Typed spot elevation

  Reads the elevation typed on a count mark, in decimal feet, feet-inches or meters.

  Typed distances and coordinates while drawing takeoffcraft.js

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• Product of two transforms

  Combines two 2 × 3 affine matrices.

  Counting blocks, shapes and texts in a CAD drawing cadcount.js

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• Place of a block reference and its array cells

  The point of each copy of a block reference, and the transform its contents get.

  p = M·(insert + R(rot)·(c·dx, r·dy))

  Counting blocks, shapes and texts in a CAD drawing cadcount.js

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• Point that stands for a shape

  The one point a shape is placed and counted by: a center, a middle, or the middle of its box.

  Counting blocks, shapes and texts in a CAD drawing cadcount.js

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• Count of block references

  How many references of the named blocks there are, in total, by variant and by layer.

  total = number of matching references

  Counting blocks, shapes and texts in a CAD drawing cadcount.js

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• Which sheet shows an object, and where

  The page point of a drawing object on a sheet, through the first viewport that contains it.

  Counting blocks, shapes and texts in a CAD drawing cadset.js

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• Similarity from two point pairs

  The move, turn and uniform scale that take two points of the old sheet to two points of the new one.

  c + i·s = (b₂ − b₁) ÷ (a₂ − a₁); t = b₁ − (c + i·s)·a₁

  Revision overlay: lining up two sheets and moving the takeoff overlay.js

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• Scale of an alignment

  How much longer a length becomes under the alignment.

  scale = √(m₀² + m₁²)

  Revision overlay: lining up two sheets and moving the takeoff overlay.js

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• Marks moved onto the new sheet

  Applies the alignment to every point of a mark.

  p′ = A·p; b′ = b

  Revision overlay: lining up two sheets and moving the takeoff overlay.js

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• Old sheet's pixels under the new sheet

  The matrix from a pixel of the new sheet's raster to a pixel of the old one.

  Revision overlay: lining up two sheets and moving the takeoff overlay.js

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• Applying, multiplying and inverting a transform

  The 2 × 3 matrix operations behind sheet transforms.

  det = m₀·m₃ − m₁·m₂; M⁻¹ = adj(M) ÷ det

  Revision overlay: lining up two sheets and moving the takeoff geom.js

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• Alignment from four picks

  Collects two points on the old sheet and two on the new one and fits the alignment.

  Revision overlay: lining up two sheets and moving the takeoff takeoffcraft.js

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• Scale carried to the new sheet

  The scale the moved marks are measured with on the new sheet.

  ftPerUnit′ = ftPerUnit ÷ scale(A)

  Revision overlay: lining up two sheets and moving the takeoff takeoffcraft.js

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• Sheet coordinates to feet on the ground

  Maps a point of the sheet to feet in the 3D view.

  k = ftPerUnit ÷ √|det T|; (x, y) → (dx·k, (height − dy)·k)

  3D check view: walls, slabs and their quantities scene3d.js

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• Wall area of a run

  The area of the wall a run with a height stands for.

  wall area = L × H

  3D check view: walls, slabs and their quantities scene3d.js

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• Net area and volume of a slab

  An area's net square feet after back-outs, and its volume when it has a depth.

  net = max(0, A − cut); V = net × D

  3D check view: walls, slabs and their quantities scene3d.js

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• Totals over stacked sheets

  Adds the totals of each sheet when several sheets are stacked as floors.

  3D check view: walls, slabs and their quantities scene3d.js

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• Outline of a wall with a thickness

  Offsets a run half the thickness to each side, with mitred corners, into one closed outline.

  offset = min(half ÷ max(cos, 1e-6), 4 × half) along the bisector

  3D check view: walls, slabs and their quantities scene3d.js

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• Solid from an outline and its cut-outs

  Triangulates the top and bottom faces and builds the side faces of a slab or wall.

  3D check view: walls, slabs and their quantities scene3d.js

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• Unit conversions for the price table

  The table unit and factor for each takeoff unit.

  Rates exported as a price table carbon.js

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• Rates converted and rounded

  One table row per priced item, with its material rate, labor rate and waste.

  rate = round(rate4 ÷ 10000 × factor × 10⁶) ÷ 10⁶

  Rates exported as a price table carbon.js

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• Quantity rounded for the package

  Rounds a quantity to 4 decimals before it is sent.

  qty = round(v × 10000) ÷ 10000

  Quantities sent in a bid package bidsend.js

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• Scope lines of a package

  Builds the lines of a bid package: item, quantity, unit and sheets.

  Quantities sent in a bid package bidsend.js

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