Module elliptic 

Elliptic integral request structs and the traits they implement:

• Carlson symmetric integrals (for SpecialMath::carlson): CarlsonRf, CarlsonRc, CarlsonRd, CarlsonRj, CarlsonRg, implementing CarlsonKind.
• Legendre integrals (for SpecialMath::ellint): EllintK/EllintF, EllintE/EllintEInc, EllintD/EllintDInc, EllintPi/EllintPiInc, implementing EllipticKind. Completeness is encoded by the struct: a complete integral has no phi field.

The request structs are implemented for every float vector whose element carries EllipticConsts: real f32/f64 vectors, Dual (the derivative is the chain rule through the Carlson duplication and the AGM, contractive algebraic iterations) and Compensated (which supplies its own, tighter, convergence thresholds and holds full double-double). Complex does not implement the constants, so an elliptic integral of a complex vector is a compile error rather than a wrong answer: the kernels’ region decisions are real-line comparisons.

Re-exports

pub use crate::specialized::EllipticConsts;

pub use crate::specialized::CarlsonKind;

pub use crate::specialized::CarlsonRc;

pub use crate::specialized::CarlsonRd;

pub use crate::specialized::CarlsonRf;

pub use crate::specialized::CarlsonRg;

pub use crate::specialized::CarlsonRj;

pub use crate::specialized::EllintD;

pub use crate::specialized::EllintDInc;

pub use crate::specialized::EllintE;

pub use crate::specialized::EllintEInc;

pub use crate::specialized::EllintF;

pub use crate::specialized::EllintK;

pub use crate::specialized::EllintPi;

pub use crate::specialized::EllintPiInc;

pub use crate::specialized::EllipticKind;

pub use crate::specialized::HeumanLambda;

pub use crate::specialized::JacobiZeta;