Calculations

Calculations

• Float to half

  The 16-bit half closest to a number.

  Half floats in EXR exr/util.js

  • BimCraft
  • ModelCraft
  32-bit in part

• 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

• Depth, volume and flow unit factors

  Converts the solver's meters, cubic meters and cubic meters per second to the units the window shows.

  mm = m × 1000; in = m × 39.3700787; yd³ = m³ ÷ 0.028316846592 ÷ 27; ft³/s = m³/s ÷ 0.028316846592

  Rainfall run read-outs: deepest water and depth scale rain-ui.js

  • CivilCraft
  64-bit

• Deepest water

  The deepest water anywhere in the run, as shown in the facts list.

  deepest = max over cells of maxDepth, converted to mm or in

  Rainfall run read-outs: deepest water and depth scale rain-ui.js

  • CivilCraft
  32-bit in part

• Depth scale of the picture

  The depth at which the picture reaches its deepest color, printed in the legend.

  top = max(0.02, 99.5th percentile of wet maxDepth cells)

  Rainfall run read-outs: deepest water and depth scale rain-ui.js

  • CivilCraft
  32-bit in part

• Assistant rounding to 3 decimals

  Rounds a result to 3 decimals before the assistant is given it.

  round(v × 1000) ÷ 1000

  Assistant and window read-outs of radio link and coverage geo-agent.js

  • CivilCraft
  64-bit

• Radio link figures

  The distance, loss, received power, fade margin and availability the assistant reports for a radio link.

  annual unavailability = round(U × 1e6 × 1000) ÷ 1000 ÷ 1e6

  Assistant and window read-outs of radio link and coverage geo-agent.js

  • CivilCraft
  64-bit

• Coverage share and map

  The share of the area covered, the farthest covered point and a coarse map of received power.

  map cell = r3(p) when p ≥ sensitivity, else null

  Assistant and window read-outs of radio link and coverage geo-agent.js

  • CivilCraft
  32-bit in part

• Coverage read-out in the window

  The share covered, the farthest covered distance and the cell count shown for a coverage item.

  covered % = covered × 100; farthest = distance as returned

  Assistant and window read-outs of radio link and coverage geo-ui.js

  • CivilCraft
  32-bit in part

• Array position from the coordinate system

  The latitude and longitude of the middle of the array's region.

  c = mean of corners; (lon, lat) = toLonLat(c); rounded to 1e-5°

  Solar array site and saved summary solar-run.js

  • CivilCraft
  64-bit

• Saved plan summary

  The counts, kWp and yearly kWh the file keeps for an array.

  kWh = round(annual AC kWh)

  Solar array site and saved summary solar-run.js

  • CivilCraft
  64-bit

• Area read-out

  Prints an area in the project's area unit.

  text = round to 0 decimals, grouped

  Massing window read-outs and typed height massing-ui.js

  • CivilCraft
  64-bit

• Typed height to floors

  Turns a height the person types into a whole number of floors.

  floors = clamp(round(H ÷ floor height), 1, max floors)

  Massing window read-outs and typed height massing-ui.js

  • CivilCraft
  64-bit

• Zoning coverage percent

  Turns the percent a person types for building coverage into the stored fraction.

  coverage = n ÷ 100

  Massing window read-outs and typed height massing-ui.js

  • CivilCraft
  64-bit

• Bench rim line segments

  Segment pairs for the rim of each bench.

  Pit and solar table meshes in the 3D view site3d-pit.js

  • CivilCraft
  32-bit, display only

• Haul ramp ribbon

  A road-wide ribbon on the pit walls for the haul ramp.

  offset = (−dy, dx) ÷ length × width ÷ 2; lift = 0.02 × width

  Pit and solar table meshes in the 3D view site3d-pit.js

  • CivilCraft
  32-bit, display only

• Solar table triangle normal

  A flat-shaded triangle with its normal.

  n = (b − a) × (c − a) ÷ |…|

  Pit and solar table meshes in the 3D view site3d-solar.js

  • CivilCraft
  32-bit, display only

• Pit scene in project units

  Converts a pit's ramp and bench outlines from meters back to project units for the 3D view.

  coordinate ÷ k, where k is meters per project unit

  Pit and solar table meshes in the 3D view pit-view.js

  • CivilCraft
  32-bit, display only

• Content stream number writer

  Formats one number for a PDF content stream.

  text = toFixed(v, 4) without trailing zeros

  Numbers written into edited PDF page content base-lex.js

  • MarkupCraft
  64-bit

• Round to 3 decimals

  The rounding applied to every coordinate in the package.

  round(v × 1000) ÷ 1000

  Redline package coordinates redline.js

  • MarkupCraft
  64-bit

• Position as a fraction of the sheet

  A markup's box and points as fractions of the sheet's width and height.

  fx = (x − x₀) ÷ w; fy = (y − y₀) ÷ h

  Redline package coordinates redline.js

  • MarkupCraft
  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

• Character advance

  The advance width of one character in 1/1000 em.

  Text width from built-in font metrics font.js

  • MarkupCraft
  64-bit

• String width

  The width of a string at a font size.

  width = (Σ advance ÷ 1000) × size

  Text width from built-in font metrics font.js

  • MarkupCraft
  64-bit

• Start editing a key

  Saves the current points as the basis and shows the key at full strength.

  point = basis + offset

  Shape keys: offsets, editing and blending anim/shapes.js

  • ModelCraft
  32-bit in part

• Finish editing a key

  Turns the edited points into the key's offsets and puts the mesh back to its basis.

  offset = edited − basis; point = basis

  Shape keys: offsets, editing and blending anim/shapes.js

  • ModelCraft
  32-bit in part

• Key from imported positions

  Makes a key that moves the basis to a list of positions (glTF morph targets, USD blend shapes).

  offset = position − basis point

  Shape keys: offsets, editing and blending anim/shapes.js

  • ModelCraft
  32-bit in part

• Blend of the keys

  The points of a mesh with each key at its weight.

  pᵢ = basisᵢ + Σ wₖ × offsetₖ,ᵢ

  Shape keys: offsets, editing and blending anim/shapes.js

  • ModelCraft
  32-bit in part

• Deformed copy of a mesh

  The mesh moved by its shape keys and then its skin, which the view, picking and exports read.

  points = blend of keys; then skin applied to the same array

  Shape keys: offsets, editing and blending anim/deform.js

  • ModelCraft
  32-bit in part

• Bone data for the card

  Packs the bone matrices (or dual quaternions) for the kernel.

  Skinning on the graphics card anim/skin-gpu.js

  • ModelCraft
  32-bit, display only

• Skinned points read back

  Runs one skin on the card and reads the points back.

  Skinning on the graphics card anim/skin-gpu.js

  • ModelCraft
  32-bit, display only

• Key time of a baked frame

  The timeline time given to each baked frame.

  t = round((from + f ÷ fps) × 1000) ÷ 1000

  Baked physics key times anim/bake.js

  • ModelCraft
  64-bit

• Time of day to seconds

  Turns HH:MM text into seconds.

  seconds = h × 3600 + m × 60

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  Exact

• Weekly on-intervals

  The merged list of on-intervals in a week, with windows that pass midnight wrapped.

  length = to − from (+ one day if the end is not after the start)

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  Exact

• On time between two instants

  The total seconds the calendar is on between two times.

  Σ (off − on) over the on-intervals inside [a, b]

  Shift calendar working time addons/flow/lib/calendar.js

  • ModelCraft
  64-bit

• Factor from text

  A factor from a plain number, a percent of the size, or a percent change.

  f = n; n ÷ 100; 1 ± n ÷ 100

  Typed scale factors and shrinkage allowance scale-factors.js

  • ModelCraft
  • PartCraft
  64-bit

• Shrinkage allowance

  The pattern factor for a casting that shrinks by a percentage.

  add: 1 + s ÷ 100; exact: 1 ÷ (1 − s ÷ 100)

  Typed scale factors and shrinkage allowance scale-factors.js

  • ModelCraft
  • PartCraft
  64-bit

• Meters per file unit

  The conversion factor for each unit system a 3DM file can name.

  meters = file value × factor

  Units and tolerance read from a 3DM file io/3dm/read.js

  • ModelCraft
  • PartCraft
  64-bit

• Units and tolerance from the file settings

  Reads the unit system, custom meters-per-unit and the tolerance from a file's settings record.

  Units and tolerance read from a 3DM file io/3dm/read.js

  • ModelCraft
  • PartCraft
  64-bit

• Density to tonnes per cubic millimeter

  Converts a density in kg/m³ to t/mm³ for the solver.

  ρ(t/mm³) = ρ(kg/m³) × 10⁻¹²

  Material units, gravity and custom material limits materials.js

  • PartCraft
  Exact

• Gravity constant

  The default gravity used for self-weight, in millimeters per second squared.

  g = 9810 mm/s²

  Material units, gravity and custom material limits materials.js

  • PartCraft
  64-bit

• Custom material check

  Checks a material from a file or a person and fills in a library material's thermal values.

  Material units, gravity and custom material limits materials.js

  • PartCraft
  64-bit

• Four significant digits

  Prints a result with 4 significant digits.

  toPrecision(4); toExponential(3) when |v| ≥ 1e5 or 0 < |v| < 1e-3

  Simulation numbers shown as text sim-ui.js

  • PartCraft
  64-bit

• Fixed decimals

  Prints a number with a set number of decimals, and fills number boxes with 6 decimals.

  toFixed(dp), trailing zeros removed

  Simulation numbers shown as text sim-ui.js

  • PartCraft
  64-bit

• Normalized mode shapes

  Samples each mode at the plot vertices and scales it to a largest displacement of 1.

  uᵥ = sample(modeᵥ) ÷ max |u|

  Mode shapes returned by the simulation worker sim-worker.js

  • PartCraft
  32-bit in part