CartesianConverter

Struct CartesianConverter 

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pub struct CartesianConverter { /* private fields */ }
Expand description

§CARTESIAN / GEODETIC CONVERSIONS

This material follows:

Bernhard Hofmann-Wellenhof & Helmut Moritz: Physical Geodesy, 2nd edition. Springer, 2005.

chapter 5.6: Coordinate transformations (HM, below),

and

Wikipedia: Geographic Coordinate Conversion, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion

(WP, below).

The cartesian-to-geodetic conversion is based on Bowring’s celebrated method:

B. R. Bowring: Transformation from spatial to geographical coordinates Survey Review 23(181), pp. 323-327, 1976

(BB, below),

but could probably use some TLC from a newer and faster algorithm:

Toshio Fukushima: Transformation from Cartesian to Geodetic Coordinates Accelerated by Halley’s Method Journal of Geodesy, February 2006

(TF, below).

Close to the poles, we avoid singularities by switching to an approximation requiring knowledge of the geocentric radius at the given latitude. For this, we use an adaptation of the formula given in:

Wikipedia: Earth Radius https://en.wikipedia.org/wiki/Earth_radius#Radius_at_a_given_geodetic_latitude (Derivation and commentary at https://gis.stackexchange.com/q/20200)

(WP2, below)

These routines are probably not as robust at those in geocent.c, at least they haven’t been through as heavy use as their geocent sisters. Some care has been taken to avoid singularities, but extreme cases (e.g. setting es, the squared eccentricity, to 1), will cause havoc.

Trait Implementations§

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impl Clone for CartesianConverter

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fn clone(&self) -> CartesianConverter

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl CoordinateStep for CartesianConverter

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fn forward<P: TransformCoordinates>(&self, coords: &mut P)

Geographical to geocentric

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fn inverse<P: TransformCoordinates>(&self, coords: &mut P)

Geocentric to geographical

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fn new(proj: Rc<RefCell<Proj>>) -> Self

Create a new Converter
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impl Debug for CartesianConverter

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl From<CartesianConverter> for ProjectionTransform

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fn from(c: CartesianConverter) -> ProjectionTransform

Converts to this type from the input type.
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impl PartialEq for CartesianConverter

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fn eq(&self, other: &CartesianConverter) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl ProjectCoordinates for CartesianConverter

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fn code(&self) -> i64

ESPG code for this projection
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fn name(&self) -> &'static str

Projection name
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fn names() -> &'static [&'static str]

Returns the list of canonical names for this projection. This is an associated function, similar to a static method.
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fn datum_type() -> u8

get the datum type. Defaults to no datum
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impl StructuralPartialEq for CartesianConverter

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

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fn borrow_mut(&mut self) -> &mut T

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impl<T> CloneToUninit for T
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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fn into_either(self, into_left: bool) -> Either<Self, Self>

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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
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const ALIGN: usize

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type Init = T

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unsafe fn init(init: <T as Pointable>::Init) -> usize

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unsafe fn deref<'a>(ptr: usize) -> &'a T

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type Output = T

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The resulting type after obtaining ownership.
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fn clone_into(&self, target: &mut T)

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impl<T, U> TryFrom<U> for T
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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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type Error = <U as TryFrom<T>>::Error

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Performs the conversion.
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impl<V, T> VZip<V> for T
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fn vzip(self) -> V