"""
Impedance phasor and determinant diagnostics
=============================================

Two compact views of the impedance tensor itself, before any
phase-tensor or dimensionality reduction. The **phasor wheel** shows the
complex impedance components on the Argand plane; the **determinant
track** follows the rotationally-invariant determinant impedance across
period. Both are drawn for line **L22PLT** and both come from
:mod:`pycsamt.emtools.impedance`.
"""

# sphinx_gallery_thumbnail_number = 1

# %%
# Impedance phasor wheel
# ----------------------
# :func:`~pycsamt.emtools.impedance.plot_phasor_wheel` plots the complex
# impedance components as phasors on the Argand plane, so the relative
# magnitude and phase of the ``xy`` and ``yx`` responses — and any
# departure from the ideal antidiagonal 2-D pattern — are visible
# directly.

from _datasets import load_sites

from pycsamt.emtools.impedance import (
    plot_determinant_track,
    plot_phasor_wheel,
)

L22 = load_sites("amt_l22plt")

plot_phasor_wheel(L22, figsize=(10, 5))

# %%
# Determinant impedance track
# ---------------------------
# :func:`~pycsamt.emtools.impedance.plot_determinant_track` follows the
# determinant impedance :math:`Z_{\det}=\sqrt{Z_{xx}Z_{yy}-Z_{xy}Z_{yx}}`
# — a rotational invariant, and a common single-curve summary of a
# station's response — across period for every station on the line.

plot_determinant_track(L22, figsize=(10, 4.5))