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Bee Graphic

Degree

Bee support radians using (π) prefix. Instead of (2 * π) you can write ( 2π )

With Comb Dot: ° 30°_30′_30″

Minutes and Seconds:

Bee is using Unicode symbols prime (′) for minutes and (″) for seconds of arc:

α:= 180°   ∈ ∠;
β:= 0°0′0″ ∈ ∠;
claim α ≈ π;  -- α ≠ π

Notes:

• Relation operators can convert the measurement units;
• Operator ± should work with degree, minutes and seconds;

Graphic types

legend

w = width
h = height
s = shape
m = members
d = distance
v = visible

Drawing Elements

Each graphic element is a composite data type.

Note:

• We use default rational numbers Q
• We use P = positive numbers for distance

Drawing keywords

Latitude Longitude

Any location on Earth is described by two numbers: its latitude and its longitude. If a pilot or a ship captain wants to specify position on a map, these are the "coordinates" they would use.

Latitude and longitude are two angles, measured in degrees, "minutes of arc" and "seconds of arc." These are denoted by the symbols ( "°", "′", "″" ) For example: 35° 43′ 9″ means an angle of 35 degrees, 43 minutes and 9 seconds. A degree contains 60 minutes of arc and a minute contains 60 seconds of arc and you may omit the words "of arc" where the context makes it absolutely clear that these are not units of time.

Bee language has limited support for measurement units. Calculations often represent angles by small letters of the Greek alphabet, and that way latitude will be represented by λ (lambda, Greek L), and longitude by φ (phi, Greek F). Here is how they are defined.

Precision

Earth coordinates can be represented using default Q numbers on 32 bit.

Data Types

• Δ = Distance :meters
• Λ = Longitude :g° m′ s″
• Φ = Latitude :g° m′ s″

type Δ: (0..+100000000) <: Q; -- twice equatorial
type Λ: (-180°..+180° ) <: Q; -- longitude angle (degree)
type Φ: (-90°..+90°   ) <: Q; -- latitude angle (degree)

Map data types are represented by Unicode symbols:

• • = Node: { Shape Point }
• ↯ = Link: { Street, Trail }
• ⇄ = Lane
• ⌘ = Complex Intersection
• ◉ = Intersection
• ◈ = Place of Interest ( Food, Market, Gas ...)
• ▣ = Area of Interest ( Park, Stadium, Golf )
• § = Line ( Border, Railway, River)
• ■ = Area ( Water, Forest )
• ♁ = Map
• ⁉ = Condition

** map simple point: λ = Latitude, φ = Longitude, i = index
  type • : {i ∈ N, λ ∈ Λ, φ ∈ Φ} <: Object;

** network node:  λ = Latitude, φ = Longitude, ε = Elevation
  type ◉ : {id ∈ N, λ ∈ Λ, φ ∈ Φ, ε ∈ P} <: Object;

** network link
  type ↯ : {id ∈ N, start_node ∈ ◉, end_node ∈ ◉, shape ∈ [•]} <: Object;

** place of interest
  type ◈ : {id ∈ N, point ∈ •, label ∈ S} <: Object;
** map area
  type ■ : {id ∈ N, origin ∈ •, shape ∈ [•], category ∈ S} <: Object;
** area of interest
  type ▣ : {id ∈ N, point ∈ •, shape ∈ [•], label ∈ S} <: Object;

** map data model
  type ♁ : {origin ∈ •, extent ∈ •, scale ∈ Q
             nodes ∈ [◉], links ∈ [↯],
             area ∈ [■], pint ∈ [◈], aint ∈  [▣] } <: Object;

legend

• φ = longitude
• λ = latitude
• ε = elevation

Space objects

Planets

Read next: System Library