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conformal_map_mobius

oxiphysics_core::complex_analysis

Function conformal_map_mobius 

Source 
pub fn conformal_map_mobius(
    z: Complex,
    a: Complex,
    b: Complex,
    c: Complex,
    d: Complex,
) -> Complex
Expand description

Möbius (linear fractional) transformation: w = (a·z + b) / (c·z + d).

Maps circles/lines to circles/lines and preserves angles (conformal).

§Arguments

  • z - input complex coordinate
  • a, b, c, d - complex coefficients (ad − bc ≠ 0)

§Returns

Mapped complex coordinate.