Calculations

Calculations

• Vertex data of one geometry

  Returns a geometry's positions and normals for drawing and for measuring.

  IFC geometry handed to the apps ifc/api.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  32-bit in part

• Placement matrix of each piece

  The matrix that takes a geometry's vertices to model space in meters, Y up.

  M = C × Y-up × scale(u) × placement

  IFC geometry handed to the apps ifc/api.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Shift to the origin

  Finds the translation that brings the model near the origin.

  c = (box min + box max) ÷ 2 of the first element; C = translate(−(Y-up × scale(u) × placement × c))

  IFC geometry handed to the apps ifc/api.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• File units to meters, Z up to Y up

  Scales a placement by the file's length unit and turns its axes.

  M′ = Y-up × scale(u) × M

  IFC geometry handed to the apps ifc/api.js

  • BimCraft
  • TakeoffCraft
  • CivilCraft
  • DetailCraft
  64-bit

• Clear spacing a bar asks for

  The least clear distance between parallel bars for a bar size and aggregate.

  max(25.4, d_b, 4/3 × aggregate) mm; BS bars: max(d_b, aggregate + 5, 20) mm

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  64-bit

• Free gap at a point

  The length of the free stretch that contains a point, between the bars either side of it.

  gap = right − left; 0 inside a bar

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  64-bit

• Need and grid size

  Sets what the concrete needs and how fine the map is.

  cell = max(5, given, or max(10, ⌈max(L, B) ÷ 160 ÷ 5⌉ × 5)); columns = round(L ÷ cell)

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  64-bit

• Opening and ratio per cell, and the worst place

  Fills the map and finds the tightest opening and the number of cells that are too tight.

  opening = min of the gaps in each layer; ratio = need ÷ opening

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  64-bit

• Share of the open area that is too tight

  The fraction of free cells whose ratio is over 1.

  share = cells with ratio > 1 ÷ cells with opening > 0

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  32-bit in part

• The congestion problem

  The warning or error listed for a footing whose steel is too tight.

  Rebar congestion map of a footing congestion.js

  • DetailCraft
  32-bit in part

• Conversion constants and two-decimal rounding

  The pound and inch factors and the helper that writes two decimals.

  lb = kg × 2.20462262185; in = mm ÷ 25.4; f2(v) = round(v × 100) ÷ 100

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Weight and plate area fields

  The weight and area written on a line, in metric or imperial units.

  weight = kg, or kg × 2.20462262185 lb; area = m², or m² × 10.7639104167 sq ft

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Inches as a fraction to 1/16

  Writes a plate or bolt size in inches and sixteenths.

  n = round(inches × 16); whole = ⌊n ÷ 16⌋; fraction reduced by halving

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Size designation

  The type code and size text of a part's profile.

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Detail line: quantity, length, weight, area

  One D line of the file for a part mark.

  plate area m² = width × length ÷ 10⁶

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Hole counts by size

  The labor lines that count a part's holes by diameter and thickness.

  KISS file: quantities, sizes and weights kiss.js

  • DetailCraft
  64-bit

• Scale of a pasted picture

  Works out how big one pixel of the copied area is in the model.

  mm per pixel = width in mm ÷ width in pixels

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture size in millimeters

  The width and height of the picture in the model.

  w = pixelsₓ × mm per pixel; h = pixels_y × mm per pixel

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture corners

  The four corners of the picture's outline.

  corner = middle ± size ÷ 2

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Picture values read from a file

  Checks a picture's numbers when a model is opened.

  Reference picture size and position picture.js

  • DetailCraft
  64-bit

• Area, mass per meter, width, depth and perimeter

  Fills in the values every member, bill of materials and drawing reads from a profile.

  mass kg/m = published value, else area mm² × 10⁻⁶ × ρ kg/m³

  Steel profiles: area, mass per meter and sizes profiles.js

  • DetailCraft
  64-bit

• Plate name

  The name of a plate profile from its thickness and width.

  PL<t>x<w>, each to 2 decimals

  Steel profiles: area, mass per meter and sizes profiles.js

  • DetailCraft
  64-bit

• Thickness a hole goes through

  The material thickness on the face a hole is made in.

  Steel profiles: area, mass per meter and sizes profiles.js

  • DetailCraft
  64-bit

• Profile summary in the properties panel

  The rows of sizes, area and mass shown for a profile.

  area cm² = area mm² ÷ 100

  Steel profiles: area, mass per meter and sizes profiles.js

  • DetailCraft
  64-bit

• Custom profile sizes

  Checks the sizes of a profile a person defines.

  Steel profiles: area, mass per meter and sizes profiles.js

  • DetailCraft
  64-bit

• A part's solid

  Builds the side faces and end caps of one steel part.

  USD export of the steel model usd-detailcraft.js

  • DetailCraft
  64-bit

• Millimeters to meters

  Converts a world point for the USD file.

  (x, y, z) m = (x, y, z) mm ÷ 1000

  USD export of the steel model usd-detailcraft.js

  • DetailCraft
  64-bit

• Length and weight attributes

  The length in meters and the weight in kilograms written on each part.

  length m = length mm ÷ 1000

  USD export of the steel model usd-detailcraft.js

  • DetailCraft
  64-bit

• Stock figure from text

  Reads a stock cell such as 1,200 or Out of stock as a number, or as in stock or not.

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Lead time in days

  Reads a lead time such as 2-3 weeks or 5 business days as a number of days.

  weeks × 7; months × 30; business days → ⌈n × 7 ÷ 5⌉; result rounded to 0.1 day

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Price from text

  Reads a price cell as a whole number of 1/10000 dollar.

  price = round(n × 10000)

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• A need in the supplier's unit

  The needed quantity in the unit the supplier's row uses.

  tonnes = kilograms ÷ 1000

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Short, late or in stock

  For each need: the matching supplier row, the shortfall and the status.

  short = max(0, need − stock); late: no stock figure and lead > limit

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Values in the reported problems

  The required and found values of a shortage or a long lead time in the problems list.

  Supplier stock and lead-time check lib-supply/supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Stock figure from text

  Reads a stock cell such as 1,200 or Out of stock as a number, or as in stock or not.

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Lead time in days

  Reads a lead time such as 2-3 weeks or 5 business days as a number of days.

  weeks × 7; months × 30; business days → ⌈n × 7 ÷ 5⌉; result rounded to 0.1 day

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Price from text

  Reads a price cell as a whole number of 1/10000 dollar, the unit the takeoff's rates use.

  price = round(n × 10000)

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Short, late or in stock

  For each estimate row with a quantity: the matching supplier row, the shortfall and the status.

  short = max(0, need − stock); late: no stock figure and lead > limit

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Values in the reported problems

  The required and found values of a shortage or a long lead time in the problems list.

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Supplier prices into the price library

  Sets a library entry's material rate to the matching supplier row's price.

  Supplier stock and lead-time check supply.js

  • TakeoffCraft
  • DetailCraft
  64-bit

• Value of a number row

  The number handed to the app when a person changes a number box.

  v = min(max, max(min, typed value))

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Rounding of a slider value

  Removes binary noise such as 0.30000000000000004 from a slider's value.

  v = round to (decimals of the step + 2) decimals, at most 8

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Value of a slider row

  The number handed to the app while a slider is dragged or its box is changed.

  v = fix(clamp(value, min, max), step)

  Numbers typed into the property grid app-propgrid.js Every app
  64-bit

• Integer or float

  Decides how a number is written.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Writing a float

  Writes a number as 8 bytes.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Writing an integer

  Writes a whole number in the shortest integer form that holds it.

  Numbers sent between people editing together live-client.js Every app
  Exact

• Reading a float

  Reads a 4-byte or an 8-byte float from a message.

  Numbers sent between people editing together live-client.js Every app
  64-bit

• Reading a 64-bit integer

  Reads an unsigned or signed 64-bit integer.

  Numbers sent between people editing together live-client.js Every app
  Exact

• Cost of one call

  The cost of a call from its token counts and the model's prices.

  cost = (in × price in + out × price out) ÷ 1,000,000

  Spending on a person's own AI model ai-byok.js Every app
  64-bit

• Spending today and this month

  The cost, tokens and number of calls for the current day and month, and the calls in the last hour.

  amount = Σ cost of the calls in the period

  Spending on a person's own AI model ai-byok.js Every app
  64-bit