aspect360: Calculate Aspects between two Angles

This crate builds on the ring360 library to calculate aspects between two angles with a target aspect and orb or an array of aspect/orb pairs.

This crate re-exports ring360, so there is no need to install it separately.

Calculate a single Aspect Match

/// Cast two 64-bit floats to Ring360 values 
let angle_1 = 74.7.to_360(); 
let angle_2 = 164.4.to_360();

// calculate the aspect to ±90º within a 2º orb
let result = angle_1.calc_aspect(&angle_2, 90.0, 2.0);

println!("{:.1}º and {:.1}º are {:.1}º apart, {:.1}º from the target aspect of {:.1}º with an orb of {:.1}. Matched: {}",
    angle_1.degrees(),
    angle_2.degrees(),
    result.aspect(),
    result.distance(),
    result.target(),
    result.orb(),
    result.matched(),
);
/// Should read: 74.7º and 164.4º are 89.7º apart, -0.3 from the target aspect of 90.0º with an orb of 2.0. Match: true

Find the first aspect match from many options

let lng_1 = 98.202928;
let lng_2 = 249.325729;

let angle_1 = lng_1.to_360();
let angle_2 = lng_2.to_360();

// List target aspect as pairs of target angles and orbs
let targets = [
  (0.0, 8.0), // conjunction
  (90.0, 5.0), // square
  (120.0, 3.0), // trine
  (180.0, 4.0) // opposition
].to_aspect_orbs(); // cast the tuple pairs to a vector of AspectOrb structs

let aspect_match_opt = angle_1.find_aspect(&angle_2, &targets);
if let Some(aspect_match) = aspect_match_opt {

  println!(
    "{:.6}º and  {:.6}º have an an aspect match of {:.0}º within {:.6}º",
    angle_1,
    angle_2,
    aspect_match.target(),
    aspect_match.distance(),
  );
  // Should read: 98.202928º and  249.325729º have an an aspect match of 150º within 1.122801º
}

Find the best matched aspect where aspect definitions may overlap

In practice, where aspect definitions cannot overlap, the find_aspect() method will be more efficient as it will return the first matched AspectOrb object. However, when definitions overlap (e.g. a sextile is only around 8.57º away from septile), the first match may not be the best match as the example below illustrates.

  let lng_1 = 192.928202;
  let lng_2 = 249.325729;

  let angle_1 = lng_1.to_360();
  let angle_2 = lng_2.to_360();

  let targets = [
    (30.0, 5.0), // semisextile
    (45.0, 8.0), // semisquare
    (360.0 / 7.0, 9.0), // septile 360/7 = approx. 51.428571
    (60.0, 8.0), // sextile
    (90.0, 8.0), // square
    (120.0, 8.0), // trine
    (150.0, 10.0) // quincunx
  ].to_aspect_orbs(); // cast to a vector of AspectOrb structs

  let aspect_matches = angle_1.find_aspects(&angle_2, &targets);
  println!("{} aspects have been matched within the specified ranges", aspect_matches.len());
  // yields a vector with 2 matched AspectResults 
  // Two aspects are matched.
  

  let first_match = angle_1.find_aspect(&angle_2, &targets);
  // yields the first matched aspect even if it's not best aspect. In this case a septile with a wide orb of 9.0
  println!("The first match is {}º from the target aspect of {}º", first_match.unwrap().divergence(), first_match.unwrap().target());
  // prints: The first match is 4.968955571428566º from the target aspect of 51.42857142857143º

  // However, the best match is sextile and not septile, which would have been matched first
  let best_aspect_match = angle_1.find_best_aspect(&angle_2, &targets);
  // Yields a sextile
  
  println!("The best match is {}º from the target aspect of {}º", best_aspect_match.unwrap().divergence(), best_aspect_match.unwrap().target());
  // prints: The best match is 3.6024730000000034º from the target aspect of 60º

Structs

AspectResult

Instance Methods

• aspect()-> f64 The aspect of the two angle irrespective of whether they match or not.
• distance()-> f64 Angular distance from the target aspect. May yield negative values
• divergence()-> f64 Absolute angular distance from the target aspect. May only yield zero or positive values
• target()-> f64 Target aspect, which is always symmetrical, e.g. 90º will match ±90 or ±270
• matched()-> bool True if the angles are aspected with the target within the specified orb.
• orb() -> f64 The tolerance of the aspect match

AspectOrb

A simple tuple struct with the target aspect and an orb, both 64-bit floats. Any array or vector of tuple pairs with f64 values representing target angles and orbs can be converted to AspectOrb objects via to_aspect_orbs().

Instance Methods

• target()-> f64 The target aspect
• orb() -> f64 The tolerance of the aspect match

Traits

Aspect360

This trait is implemented only for Ring360, but any 64-bit float can be cast to a Ring360 via the .to_360() extension method and variant methods ending in _f64 accept normal f64 values as comparison angles, which will be normalised within the 0º to º360 range.

• calc_aspect(other: &Ring360, target: f64, orb: f64) -> AspectResult
• is_aspected(other: &Ring360, target: f64, orb: f64) -> bool
• calc_aspect_f64(other: f64, target: f64, orb: f64) -> AspectResult
• *find_aspect(other: &Ring360, targets: &[AspectOrb]) -> Option
• *find_aspects(other: &Ring360, targets: &[AspectOrb]) -> Vec
• *find_best_aspect(other: &Ring360, targets: &[AspectOrb]) -> Option
• is_aspected_f64(other: f64, target: f64, orb: f64) -> bool

Dev notes

Version 0.1.4 introduced two new methods find_aspects() and find_best_aspect() deal with situations where aspect definitions (AspectOrb) may overlap.

Version 0.1.7 adds a new trait ToAspectOrb witb a to_aspect_orbs method to convert an array of simple (f64, f64) tuples into a vector of AspectOrb() structs for use with find_aspect(), find_best_aspect() and find_aspects(). This reduces boilerplate code.