cogwheel.gw_prior.twosquircle.TwoSquircularMapping

class cogwheel.gw_prior.twosquircle.TwoSquircularMapping

Bases: object

2-squircular mapping between a disk and a square.

The disk is (u, v): u^2 + v^2 <= 1. The square, (x, y): -1 <= x,y <= 1.

Reference: https://arxiv.org/pdf/1709.07875.pdf

Methods

disk_to_square	Return (x, y) on the square.
jacobian_determinant	Return |∂(u,v) / ∂(x,y)|.
square_to_disk	Return (u, v) on the disk.

static disk_to_square(u, v)

Return (x, y) on the square.

static jacobian_determinant(x, y)

Return |∂(u,v) / ∂(x,y)|.

∝ Prior on the square (x, y) that yields uniform on the disk (u, v).

static square_to_disk(x, y)

Return (u, v) on the disk.