Calculations

Calculations

• Pin header

  Drilled pads in one or two rows at a pitch.

  x = (r − (rows − 1) ÷ 2) × pitch; y = ((n − 1) ÷ 2 − i) × pitch

  Parametric PCB footprints footlib.js Every app
  64-bit

• Quad flat package

  Pads on four sides, numbered counter-clockwise from the top left.

  along a side: ((n − 1) ÷ 2 − i) × pitch; across: ± span ÷ 2

  Parametric PCB footprints footlib.js Every app
  64-bit

• Axial through-hole part

  Two drilled pads at half the lead pitch either side of the center.

  x = ∓ pitch ÷ 2

  Parametric PCB footprints footlib.js Every app
  64-bit

• Positions stored as offsets from the origin

  The kept points as 32-bit offsets from a whole-unit origin.

  pos = fround(x − floor(min))

  Point cloud positions and read-in values pointcloud.js

  • CadCraft
  • BimCraft
  32-bit in part

• 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

• Ray against boxes

  Calls back for every item whose box a ray passes through.

  t₀ = max(nearₐ), t₁ = min(farₐ); hit if t₀ ≤ t₁

  Box tree for picking and collisions m3d/bvh.js

  • CadCraft
  • ModelCraft
  • PartCraft
  64-bit

• Boxes of point lists

  The box of each item from its points, grown by a pad.

  Box tree for picking and collisions m3d/bvh.js

  • CadCraft
  • ModelCraft
  • PartCraft
  64-bit

• Summed K of a list of fittings

  The total loss coefficient of the fittings on one link at its own Reynolds number and diameter.

  K = Σ nᵢ × Kᵢ(Re, D)

  Fitting losses summed from a pack process/equip/fittingk.js

  • CadCraft
  • BimCraft
  64-bit

• Head loss of a fitting

  The head loss in meters from K and the velocity.

  h = K × v² ÷ (2g)

  Fitting losses summed from a pack process/equip/fittingk.js

  • CadCraft
  • BimCraft
  64-bit

• Pressure thrust

  The axial force on a blind end or an unbalanced joint.

  F = P × π × Di² ÷ 4

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Variable spring selection

  The spring sizes that carry the hot load and travel within the allowed load variation.

  variation = |travel| × rate ÷ hot load

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Stop clearance check

  Whether the thermal displacement closes a gap or stop.

  Pipe stress support helpers process/equip/pipestress2.js

  • CadCraft
  • BimCraft
  64-bit

• Length of a sew-line edge

  The length of one edge of the sew line at a size.

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Distance round the outline between two points

  The forward and backward length along the sew line between two snapped points.

  fwd = ((d_b − d_a) mod L + L) mod L; back = (L − fwd) mod L

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Seam walking

  The lengths of two edges, their difference and the notch offsets along the seam.

  diff = lenB − lenA; off = bₖ − aₖ

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Perimeter and area per size

  The sew and cut perimeter and area of each size of a piece.

  area = |Σ shoelace|

  Pattern piece lengths, seam walking and areas addons/apparel/lib/measure.js

  • CadCraft
  64-bit

• Meets the limit

  True, false or null for a found value against a rule.

  min − e ≤ found ≤ max + e

  Pass or fail against a regulation limit addons/regs/lib/rows.js

  • CadCraft
  • BimCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Material and band thicknesses

  The thickness of each library sheet and edge band in millimeters and in inches.

  Cabinet material sizes, grooves and drill files addons/cabinetcraft/lib/materials.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  Exact

• Rules from the material picks

  The thicknesses, groove and band thicknesses that the construction rules use.

  groove = min(tback, 0.6 × tcarcass)

  Cabinet material sizes, grooves and drill files addons/cabinetcraft/lib/materials.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Sheet size for a material

  The sheet width and height a material is cut from.

  in = round(mm ÷ 25.4 × 4) ÷ 4

  Cabinet material sizes, grooves and drill files addons/cabinetcraft/lib/materials.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Hole positions in the drill XML

  The x and y of each hole as written in the drill file.

  x = round(x × 1000) ÷ 1000

  Cabinet material sizes, grooves and drill files addons/cabinetcraft/lib/export.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• G-code scale and thickness

  The unit scale and cut depth passed to the sheet G-code writer.

  thickness_mm = thickness × scale

  Cabinet material sizes, grooves and drill files addons/cabinetcraft/lib/export.js

  • CadCraft
  • BimCraft
  • ModelCraft
  • PartCraft
  64-bit

• Relative difference

  The fraction by which a coarse result differs from the refined result.

  |a − b| ÷ |b|

  Spread between coarse and refined results study/live.js

  • CadCraft
  • BimCraft
  • DetailCraft
  • PartCraft
  64-bit

• 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

• 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

• Significand width of a number

  How many bits of a number this device keeps.

  bits = the first n where 1 + 2⁻ⁿ = 1

  Device number check accuracy.js Every app
  Exact

• Digits of a graphics float

  The number of significant digits stated for the graphics processor's float type.

  bits < 23: digits = max(1, ⌊(bits + 1) × log₁₀ 2⌋); bits ≥ 23: the fixed text "about 7"

  Device number check accuracy.js Every app
  64-bit

• Size and position text

  A dimension, port size or port position as text in millimeters.

  text = round(x × 10⁴) ÷ 10⁴

  Library configurator sizes library-configurator.js Every app
  64-bit

• Option value used for matching

  The text an option value is compared by when the page picks the variant that matches the selected options.

  numbers: round(v × 10⁴) ÷ 10⁴ as text; other values: trimmed text

  Library configurator sizes library-configurator.js Every app
  64-bit

• Mesh buffers

  The item's box or mesh as geometry for drawing, turned from z up to y up.

  Library 3D preview library-3d.js Every app
  32-bit, display only

• Camera position

  Where the camera sits as the view is turned and zoomed.

  position = target + dist × (sin φ sin θ, cos φ, sin φ cos θ)

  Library 3D preview library-3d.js Every app
  32-bit, display only

• Variant body buffers

  The chosen variant's box or mesh as geometry for drawing.

  Library 3D preview library-configurator.js Every app
  32-bit, display only

• Required and found values as text

  A limit or a measured value in words, such as ≤ 196.85 mm or 863.6–965.2 mm.

  text = round(x × 100) ÷ 100, then the unit

  Check report values problems.js Every app
  64-bit

• Built-in unit factors

  The factor from each built-in unit of mass, time, force, pressure, energy, power, current, voltage and volume to SI.

  lb = 0.45359237 kg; lbf = 4.4482216152605 N; psi = 6894.757293168 Pa; psf = 47.88025898 Pa

  Calc sheet units, functions and driven parameters calc.js Every app
  64-bit

• Constants and fallback lengths

  pi, e, standard gravity g0, and the length units used when no unit table is given.

  g0 = 9.80665 m/s²; in = 0.0254 m; ft = 0.3048 m; yd = 0.9144 m

  Calc sheet units, functions and driven parameters calc.js Every app
  64-bit