Calculations

Calculations

• A point back in file coordinates

  The file-unit position of one kept point.

  p = pos + origin

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  32-bit in part

• Points in a slice

  The points that lie within a thickness of a plane.

  |pos − (at − origin)| ≤ thick ÷ 2

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  32-bit in part

• Intensities scaled to 0 to 65535

  The intensity of each kept point on a common 16-bit scale.

  out = round((v − lo) ÷ (hi − lo) × 65535)

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  32-bit in part

• LAS record decoder

  The x, y, z of each LAS point from its stored integers.

  x = Int32 × scale + offset

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  64-bit

• Size of the cloud

  The extent of the cloud in each axis shown in the summary.

  size = max − min

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  64-bit

• Round a box edge outward to 32-bit

  A 32-bit number that is never above (down) or never below (up) the 64-bit value.

  Ray hits against 32-bit triangle records compute/bvh-core.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Ray and triangle

  Whether a ray meets a triangle and at what distance t and barycentric u, v.

  t = (e2 · (s × e1)) ÷ (e1 · (d × e2))

  Ray hits against 32-bit triangle records compute/bvh-core.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Ray and box slab test

  The distance at which a ray enters a box, or Infinity.

  t = (box − o) ÷ d, max of the near, min of the far

  Ray hits against 32-bit triangle records compute/bvh-core.js

  • BimCraft
  • ModelCraft
  64-bit

• Instance inverse matrix

  The world-to-object matrix of an instance as 12 numbers.

  M⁻¹ = adj(M) ÷ det(M), translation = −M⁻¹ t

  Ray hits against 32-bit triangle records compute/bvh-scene.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Ray into object space of an instance

  The ray origin and direction in an instance frame, and the triangle test that follows.

  Ray hits against 32-bit triangle records compute/bvh-scene.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Triangle records from world triangles

  The 12-number triangle records the scatter ray tests use.

  e1 = v1 − v0; e2 = v2 − v0

  Ray hits against 32-bit triangle records rt/rt-scatter-ui.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Accumulation buffer read back

  The per-pixel sums of red, green, blue and sample count.

  Path-traced picture sums and the saved file render/pt-gpu.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Sum of an exact range of samples

  The sum of samples s0 to s0 + spp − 1 for every pixel.

  Path-traced picture sums and the saved file render/pt-gpu.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Render elements read back

  The per-pixel render elements and light-group sums.

  Path-traced picture sums and the saved file render/pt-gpu.js

  • BimCraft
  • ModelCraft
  32-bit in part

• EXR channels from the sums

  The mean (or raw sum) of each channel for the EXR and render file.

  mean = Σ ÷ max(samples, 1)

  Path-traced picture sums and the saved file render/pt-output.js

  • BimCraft
  • ModelCraft
  32-bit in part

• 16-bit PNG

  The picture as 16 bits per channel.

  v₁₆ = round(clamp(v, 0, 1) × 65535)

  Path-traced picture sums and the saved file render/pt-output.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Reopening a render file

  The sums and counts read back from the layers file.

  Path-traced picture sums and the saved file render/pt-output.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Save as 16-bit PNG

  Chooses the 32-bit or the 8-bit path to write the 16-bit PNG.

  Path-traced picture sums and the saved file render/render-ui.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Vertices and loose edges

  The point positions of a model definition and its loose edges.

  Model points written to USD usd/m3d.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Mesh arrays

  The point, normal, UV and color arrays of a mesh.

  Model points written to USD usd/m3d.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Number to text

  The text a number is written as, by type.

  f32: text = shortest s with fround(+s) = fround(x)

  Number text in USD files usd/usda-write.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Shortest digits

  A number to p significant digits without trailing zeros.

  Number text in USD files usd/usda-write.js

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

• Type name to number type

  Which number type a USD type name uses (32-bit float, half or 64-bit double).

  Number text in USD files usd/sdf.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  Exact

• Inline values

  A value that the file stores inside its 32-bit payload word.

  Floats read from USD files usd/usdc-read.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Raw arrays

  A packed array of numbers of one type.

  Floats read from USD files usd/usdc-read.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Compressed float arrays

  An array stored as whole numbers or as a lookup table and indexes.

  Floats read from USD files usd/usdc-read.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Float text rounding

  A float or half value read from .usda text.

  Floats read from USD files usd/usda-read.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Arrays from text

  A list of parsed numbers as a typed array of the right type.

  Floats read from USD files usd/usda-read.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Half to float

  The value of a 16-bit half float.

  v = ± (1 + m ÷ 1024) × 2^(e − 15)

  Half floats in USD usd/util.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Float to half

  The 16-bit half closest to a number.

  Half floats in USD usd/util.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  • PartCraft
  32-bit in part

• Half to float

  The value of a 16-bit half float.

  v = ± (1 + m ÷ 1024) × 2^(e − 15)

  Half floats in EXR exr/util.js

  • BimCraft
  • ModelCraft
  32-bit in part

• Float to half

  The 16-bit half closest to a number.

  Half floats in EXR exr/util.js

  • BimCraft
  • ModelCraft
  32-bit in part

• 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

• 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

• 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

• Temperature range of the plot

  The lowest and highest temperature used for the plot scale and its tick labels.

  lo = min T, hi = max T over all vertices (all frames when transient)

  Thermal window temperature range and balance read-outs sim-thermal-ui.js

  • PartCraft
  32-bit in part

• Probed temperature and flux

  The temperature and flux text shown when a point is probed.

  Thermal window temperature range and balance read-outs sim-thermal-ui.js

  • PartCraft
  32-bit in part

• Heat balance imbalance

  The unbalanced heat in watts and as a percent of the larger of inflow and outflow.

  percent = 100 × |imbalance| ÷ max(inflow, outflow, 1e-300)

  Thermal window temperature range and balance read-outs sim-thermal-ui.js

  • PartCraft
  64-bit

• Mass from volume and density

  The mass of a part in grams.

  m = V × ρ ÷ 1000

  Part and assembly mass in the bill of materials, measure panel and assistant bom.js

  • PartCraft
  64-bit

• Rounding of the exported bill

  The numbers written into the bill of materials CSV.

  value = round to 3 decimals

  Part and assembly mass in the bill of materials, measure panel and assistant bom.js

  • PartCraft
  64-bit