|
@@ -39,6 +39,7 @@ clib.contact_function_multi.restype = ctypes.c_void_p
|
|
|
|
|
|
|
|
|
|
def minimizer_map(minimizer: str) -> int:
|
|
def minimizer_map(minimizer: str) -> int:
|
|
|
|
+ """Maps minimizer name to an integer for use in C functions from "overlap_algorithm.c"."""
|
|
if minimizer == 'brent':
|
|
if minimizer == 'brent':
|
|
return 0
|
|
return 0
|
|
elif minimizer == 'brent_early':
|
|
elif minimizer == 'brent_early':
|
|
@@ -53,17 +54,22 @@ def minimizer_map(minimizer: str) -> int:
|
|
|
|
|
|
@dataclass
|
|
@dataclass
|
|
class Contact:
|
|
class Contact:
|
|
|
|
+ """Stores contact data."""
|
|
contact_f: float
|
|
contact_f: float
|
|
min_eig_T: float
|
|
min_eig_T: float
|
|
med_eig_T: float
|
|
med_eig_T: float
|
|
- min_vec_scalar: float
|
|
|
|
- med_vec_scalar: float
|
|
|
|
- feval_min: int
|
|
|
|
- feval_med: int
|
|
|
|
- branch: int
|
|
|
|
|
|
+ min_vec_scalar: float # result of scalar product test fot the eigenvector corresponding to minimal eigenvalue
|
|
|
|
+ med_vec_scalar: float # result of scalar product test fot the eigenvector corresponding to median eigenvalue
|
|
|
|
+ feval_min: int # number of minimal eigenvalue evaluations
|
|
|
|
+ feval_med: int # number of median eigenvalue evaluations
|
|
|
|
+ branch: int # contact function solution branch (0: min eig, 1: med eig, 2: Omega)
|
|
|
|
|
|
|
|
|
|
-def contact_function(a0, a1, b0, b1, coord0, orient0, coord1, orient1, minimizer='brent') -> Contact:
|
|
|
|
|
|
+def contact_function(a0: float, a1: float, b0: float, b1: float,
|
|
|
|
+ coord0: np.ndarray, orient0: np.ndarray, coord1: np.ndarray, orient1: np.ndarray,
|
|
|
|
+ minimizer: str = 'brent') -> Contact:
|
|
|
|
+ """Calculates contact data for a pair of spherical ellipses."""
|
|
|
|
+
|
|
other_results = np.zeros(4, dtype=np.float64)
|
|
other_results = np.zeros(4, dtype=np.float64)
|
|
fevals = np.zeros(2, dtype=np.intc)
|
|
fevals = np.zeros(2, dtype=np.intc)
|
|
branch = np.zeros(1, dtype=np.intc)
|
|
branch = np.zeros(1, dtype=np.intc)
|
|
@@ -77,13 +83,21 @@ def contact_function(a0, a1, b0, b1, coord0, orient0, coord1, orient1, minimizer
|
|
|
|
|
|
@dataclass
|
|
@dataclass
|
|
class ContactMulti:
|
|
class ContactMulti:
|
|
|
|
+ """
|
|
|
|
+ Stores the contact function for many pairs of ellipses, along with average numbers of eigenvalue evaluations
|
|
|
|
+ and total calculation time.
|
|
|
|
+ """
|
|
contact_f: np.ndarray
|
|
contact_f: np.ndarray
|
|
avg_evals_mineig: float
|
|
avg_evals_mineig: float
|
|
avg_evals_medeig: float
|
|
avg_evals_medeig: float
|
|
time: float
|
|
time: float
|
|
|
|
|
|
|
|
|
|
-def contact_function_multi(a0, a1, b0, b1, coord0, orient0, coord1, orient1, minimizer='brent') -> ContactMulti:
|
|
|
|
|
|
+def contact_function_multi(a0: float, a1: float, b0: float, b1: float,
|
|
|
|
+ coord0: np.ndarray, orient0: np.ndarray, coord1: np.ndarray, orient1: np.ndarray,
|
|
|
|
+ minimizer: str = 'brent') -> ContactMulti:
|
|
|
|
+ """Calculates contact function for multiple configurations of spherical ellipses."""
|
|
|
|
+
|
|
n = len(coord0)
|
|
n = len(coord0)
|
|
results = np.zeros(n, dtype=np.float64)
|
|
results = np.zeros(n, dtype=np.float64)
|
|
all_evals = np.zeros(2, dtype=np.intc)
|
|
all_evals = np.zeros(2, dtype=np.intc)
|
|
@@ -98,9 +112,9 @@ def contact_function_multi(a0, a1, b0, b1, coord0, orient0, coord1, orient1, min
|
|
|
|
|
|
class EllipsePair:
|
|
class EllipsePair:
|
|
|
|
|
|
- def __init__(self, a0, a1, epsilon):
|
|
|
|
|
|
+ def __init__(self, a0: float, a1: float, epsilon: float):
|
|
"""
|
|
"""
|
|
- Class in which optimization of ellipse configurations on a sphere is performed.
|
|
|
|
|
|
+ Class to calculate the contact function between two spherical ellipses.
|
|
:param a0: semi-major axis for the first elliptical cylinder
|
|
:param a0: semi-major axis for the first elliptical cylinder
|
|
:param a1: semi-major axis for the second elliptical cylinder
|
|
:param a1: semi-major axis for the second elliptical cylinder
|
|
:param epsilon: aspect ratio
|
|
:param epsilon: aspect ratio
|
|
@@ -114,10 +128,16 @@ class EllipsePair:
|
|
|
|
|
|
def contact(self, coord0, orient0, coord1=np.array([0., 0., 1.]), orient1=np.array([1., 0., 0.]),
|
|
def contact(self, coord0, orient0, coord1=np.array([0., 0., 1.]), orient1=np.array([1., 0., 0.]),
|
|
minimizer='brent') -> Contact:
|
|
minimizer='brent') -> Contact:
|
|
|
|
+ """Evaluates the contact function along with oth contact data."""
|
|
return contact_function(self.a0, self.a1, self.b0, self.b1, coord0, orient0, coord1, orient1, minimizer)
|
|
return contact_function(self.a0, self.a1, self.b0, self.b1, coord0, orient0, coord1, orient1, minimizer)
|
|
|
|
|
|
def contact_multi_dist(self, distances, num_ang, axis=np.array([1, 0, 0]), minimizer='brent')\
|
|
def contact_multi_dist(self, distances, num_ang, axis=np.array([1, 0, 0]), minimizer='brent')\
|
|
-> (np.ndarray, np.ndarray, np.ndarray):
|
|
-> (np.ndarray, np.ndarray, np.ndarray):
|
|
|
|
+ """
|
|
|
|
+ Evaluates the contact function at different distances between two ellipses as well as multiple
|
|
|
|
+ mutual orientations. Returns mean calculation time, mean number of minimum eigenvalue evaluations and
|
|
|
|
+ mean number of median eigenvalue evaluations at each distance.
|
|
|
|
+ """
|
|
|
|
|
|
timings = np.zeros(len(distances))
|
|
timings = np.zeros(len(distances))
|
|
avg_evals_mineig = np.zeros(len(distances))
|
|
avg_evals_mineig = np.zeros(len(distances))
|
|
@@ -136,7 +156,8 @@ class EllipsePair:
|
|
return timings, avg_evals_mineig, avg_evals_medeig
|
|
return timings, avg_evals_mineig, avg_evals_medeig
|
|
|
|
|
|
|
|
|
|
-def generate_confgs(dist, n, axis=np.array([1, 0, 0])):
|
|
|
|
|
|
+def generate_confgs(dist: np.ndarray, n: int, axis: np.ndarray = np.array([1, 0, 0])) \
|
|
|
|
+ -> (np.ndarray, np.ndarray, np.ndarray, np.ndarray):
|
|
"""
|
|
"""
|
|
At a given distance, generate all possible orientational configurations of two spherical ellipses,
|
|
At a given distance, generate all possible orientational configurations of two spherical ellipses,
|
|
with n steps in a half-circle rotation. This results in n x n configurations.
|
|
with n steps in a half-circle rotation. This results in n x n configurations.
|