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Hendrik Möllersmann
2026-02-08 16:28:59 +01:00
parent 02ce0c0b4a
commit ee85e8b0e6
3 changed files with 611 additions and 247 deletions
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32
GHA_triaxial/utils.py
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@@ -128,21 +128,27 @@ def pq_ell(ell: EllipsoidTriaxial, point: NDArray) -> Tuple[NDArray, NDArray]:
n = ell.func_n(point)
beta, lamb = ell.cart2ell(point)
B = ell.Ex ** 2 * cos(beta) ** 2 + ell.Ee ** 2 * sin(beta) ** 2
L = ell.Ex ** 2 - ell.Ee ** 2 * cos(lamb) ** 2
if abs(cos(beta)) < 1e-12 and abs(np.sin(lamb)) < 1e-12:
if beta > 0:
p = np.array([0, -1, 0])
else:
p = np.array([0, 1, 0])
else:
B = ell.Ex ** 2 * cos(beta) ** 2 + ell.Ee ** 2 * sin(beta) ** 2
L = ell.Ex ** 2 - ell.Ee ** 2 * cos(lamb) ** 2
c1 = x ** 2 + y ** 2 + z ** 2 - (ell.ax ** 2 + ell.ay ** 2 + ell.b ** 2)
c0 = (ell.ax ** 2 * ell.ay ** 2 + ell.ax ** 2 * ell.b ** 2 + ell.ay ** 2 * ell.b ** 2 -
(ell.ay ** 2 + ell.b ** 2) * x ** 2 - (ell.ax ** 2 + ell.b ** 2) * y ** 2 - (
ell.ax ** 2 + ell.ay ** 2) * z ** 2)
t2 = (-c1 + sqrt(c1 ** 2 - 4 * c0)) / 2
c1 = x ** 2 + y ** 2 + z ** 2 - (ell.ax ** 2 + ell.ay ** 2 + ell.b ** 2)
c0 = (ell.ax ** 2 * ell.ay ** 2 + ell.ax ** 2 * ell.b ** 2 + ell.ay ** 2 * ell.b ** 2 -
(ell.ay ** 2 + ell.b ** 2) * x ** 2 - (ell.ax ** 2 + ell.b ** 2) * y ** 2 - (
ell.ax ** 2 + ell.ay ** 2) * z ** 2)
t2 = (-c1 + sqrt(c1 ** 2 - 4 * c0)) / 2
F = ell.Ey ** 2 * cos(beta) ** 2 + ell.Ee ** 2 * sin(lamb) ** 2
p1 = -sqrt(L / (F * t2)) * ell.ax / ell.Ex * sqrt(B) * sin(lamb)
p2 = sqrt(L / (F * t2)) * ell.ay * cos(beta) * cos(lamb)
p3 = 1 / sqrt(F * t2) * (ell.b * ell.Ee ** 2) / (2 * ell.Ex) * sin(beta) * sin(2 * lamb)
p = np.array([p1, p2, p3])
p = p / np.linalg.norm(p)
F = ell.Ey ** 2 * cos(beta) ** 2 + ell.Ee ** 2 * sin(lamb) ** 2
p1 = -sqrt(L / (F * t2)) * ell.ax / ell.Ex * sqrt(B) * sin(lamb)
p2 = sqrt(L / (F * t2)) * ell.ay * cos(beta) * cos(lamb)
p3 = 1 / sqrt(F * t2) * (ell.b * ell.Ee ** 2) / (2 * ell.Ex) * sin(beta) * sin(2 * lamb)
p = np.array([p1, p2, p3])
p = p / np.linalg.norm(p)
q = np.array([n[1] * p[2] - n[2] * p[1],
n[2] * p[0] - n[0] * p[2],
n[0] * p[1] - n[1] * p[0]])