Calculations

Calculations

• Opening text in the BCF

  The insulation, gap and position written into the BCF description.

  MEP openings and clearances shown and exported mep/structure-ui.js

  • BimCraft
  64-bit

• Gap and need shown for a soft clash

  The gap and the needed clearance shown in the list in the display unit.

  MEP openings and clearances shown and exported mep/structure-ui.js

  • BimCraft
  64-bit

• 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

• 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

• 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

• 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

• 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

• Scalar from a field

  One number per node or element from a vector or stress field.

  |u| = √(ux² + uy² + uz²); σvm as above

  Script result fields and meshes shown in the window cs-ui.js

  • PartCraft
  64-bit

• Range of the plotted values

  The lowest and highest value that set the color scale.

  hi ≤ lo → hi = lo + max(|lo|, 1) × 1e-6

  Script result fields and meshes shown in the window cs-ui.js

  • PartCraft
  64-bit

• Deformation scale

  A round scale that makes the largest displacement about 8 percent of the model size.

  raw = 0.08 × diagonal ÷ max |u|, rounded up to 1, 2, 5 or 10 × 10ᵉ

  Script result fields and meshes shown in the window cs-ui.js

  • PartCraft
  32-bit, display only

• Outer surface of a mesh

  The outer surface of a solid or surface mesh as triangles for the view.

  Script result fields and meshes shown in the window cs-ui.js

  • PartCraft
  32-bit, display only

• Default tangent modulus and its check

  Sets the slope after yield when none is given and flags one that is not below E.

  Et = E ÷ 100 when not given

  Nonlinear study fields and thermal stress history nlstudy.js

  • PartCraft
  64-bit

• Contact penetration problem

  Flags a contact penetration over 1 percent of the element size, with the values it reports.

  problem when max penetration > 0.01 × h; pct = 100 × pen ÷ h

  Nonlinear study fields and thermal stress history nlstudy.js

  • PartCraft
  64-bit

• Time steps solved for stress

  Chooses which time steps of the heat run get a stress solve.

  stepᵢ = round(i × steps ÷ (n − 1)), i = 0…n−1

  Nonlinear study fields and thermal stress history thermal-history.js

  • PartCraft
  Exact

• Thermal load per step

  The load vector of each stress step and the temperature range of the worst step.

  ΔT = T − Tref; f = f_mech + ft(ΔT)

  Nonlinear study fields and thermal stress history thermal-history.js

  • PartCraft
  64-bit

• Sewing tolerance from model size

  The tolerance with which patch edges are joined.

  tol = max(1e-7, 1e-7 × max |coordinate|)

  Form cage to exact solid: sewing and volume form-brep.js

  • PartCraft
  64-bit

• Sewn solid and its volume

  Sews the faces, makes a solid, and measures its volume.

  Form cage to exact solid: sewing and volume form-brep.js

  • PartCraft
  64-bit

• A number in an appearance stream

  Turns a number into the text written in a PDF appearance stream.

  text = v rounded to 3 decimals, trailing zeros removed; |v| < 1e-6 → 0

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Appearance stream of a markup

  The drawing operators that show a markup in any PDF viewer.

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Private copy of a markup

  The JSON kept with each annotation so it reopens exactly: points, box, cut-outs, style and the rest.

  ar = round(rect × 1000) ÷ 1000

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Annotation rectangle

  The /Rect of a markup's annotation, which is also the bounding box of its appearance.

  rect = bounds ± 1 pt; each side ≥ 2 × line width + 2 pt

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Bounds of a display list

  The box round everything a markup draws, used for its annotation rectangle.

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Rectangle differences of a box or ellipse

  The /RD entry: how far the shape's outer edge sits inside the annotation rectangle on each side.

  RD = [left, top, right, bottom] gaps between rect and box ± half line width, each ≥ 0

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Count marks as ink rings

  Writes a count group as one Ink annotation with a small ring round each mark.

  ring: 13 points at 30° steps, radius max(3, 0.8 × font size)

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Arc exported as a PolyLine

  Writes an arc markup's /Vertices as points along the arc, because PDF has no arc annotation.

  n = max(8, ⌈|sweep| ÷ (π ÷ 32)⌉); vertex k = c + r × (cos, sin)(a₀ + sweep × k ÷ n)

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Picture placement matrix

  The matrix that paints a picture markup into its box, upright for the page's rotation.

  cm = [u·W, −v·H, origin + v·H], each number to 4 decimals

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Scale as a /Measure dictionary

  The sheet's scale in the form other PDF programs read: the factor from points to the unit and the display precision.

  X.C = mmPerPt ÷ 304.8 (ft), ÷ 25.4 (in), ÷ 1000 (m), or mmPerPt (mm)

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Scale written on the page

  Stores a sheet's calibration on its page in the saved PDF.

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Measured text in /Contents

  The text other PDF programs show for a measurement: the length, the area and perimeter, the angle or the count.

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• Flattened markup

  Paints a markup into the page itself instead of saving it as an annotation.

  Numbers written to the saved PDF pdf-write.js

  • MarkupCraft
  64-bit

• A page's paths as segments

  Every drawn path of a page as straight segments in page coordinates.

  curve point = Bézier at t = j ÷ 8, j = 1…8; p′ = CTM × p

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Distance from a point to a segment

  How far a sample point is from one segment of the other sheet.

  t = clamp((p − a)·d ÷ |d|², 0, 1); distance = hypot(p − (a + t·d))

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Grid of segments

  Files each segment under the grid cells its bounding box covers, to find nearby segments quickly.

  cells = (⌊x_max ÷ cell⌋ − ⌊x_min ÷ cell⌋ + 1) × (same in y); more than 4000 → not in the grid

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Parts of a sheet with no match

  The pieces of one sheet's segments that have no segment of the other sheet within the tolerance.

  n = max(1, ⌈length ÷ step⌉) samples; miss when no segment within tol

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Removed and added lines

  The lines of the old sheet that are not on the new one, and the other way round.

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Boxes round groups of changes

  Groups changed segments that are close together into boxes, for clouding and for the list of changes.

  merge boxes closer than gap; keep groups with Σ length ≥ minLen

  Drawing comparison by vector paths vecdiff.js

  • MarkupCraft
  64-bit

• Size of a changed area in words

  The size of a changed area as text: inches on the sheet and, on a calibrated sheet, the real size.

  in = round(pt ÷ 72, 1 decimal); real = pt × mmPerPt, in m to 1 decimal from 1000 mm, else whole mm

  Drawing comparison by vector paths changes.js

  • MarkupCraft
  64-bit