mirror of
https://github.com/LmeSzinc/StarRailCopilot.git
synced 2024-11-25 10:01:10 +00:00
396 lines
11 KiB
Python
396 lines
11 KiB
Python
import numpy as np
|
|
from scipy import optimize
|
|
|
|
from .utils import area_pad
|
|
|
|
|
|
class Points:
|
|
def __init__(self, points):
|
|
if points is None or len(points) == 0:
|
|
self._bool = False
|
|
self.points = None
|
|
else:
|
|
self._bool = True
|
|
self.points = np.array(points)
|
|
if len(self.points.shape) == 1:
|
|
self.points = np.array([self.points])
|
|
self.x, self.y = self.points.T
|
|
|
|
def __str__(self):
|
|
return str(self.points)
|
|
|
|
__repr__ = __str__
|
|
|
|
def __iter__(self):
|
|
return iter(self.points)
|
|
|
|
def __getitem__(self, item):
|
|
return self.points[item]
|
|
|
|
def __len__(self):
|
|
if self:
|
|
return len(self.points)
|
|
else:
|
|
return 0
|
|
|
|
def __bool__(self):
|
|
return self._bool
|
|
|
|
def link(self, point, is_horizontal=False):
|
|
if is_horizontal:
|
|
lines = [[y, np.pi / 2] for y in self.y]
|
|
return Lines(lines, is_horizontal=True)
|
|
else:
|
|
x, y = point
|
|
theta = -np.arctan((self.x - x) / (self.y - y))
|
|
rho = self.x * np.cos(theta) + self.y * np.sin(theta)
|
|
lines = np.array([rho, theta]).T
|
|
return Lines(lines, is_horizontal=False)
|
|
|
|
def mean(self):
|
|
if not self:
|
|
return None
|
|
|
|
return np.round(np.mean(self.points, axis=0)).astype(int)
|
|
|
|
def group(self, threshold=3):
|
|
if not self:
|
|
return np.array([])
|
|
groups = []
|
|
points = self.points
|
|
if len(points) == 1:
|
|
return np.array([points[0]])
|
|
|
|
while len(points):
|
|
p0, p1 = points[0], points[1:]
|
|
distance = np.sum(np.abs(p1 - p0), axis=1)
|
|
new = Points(np.append(p1[distance <= threshold], [p0], axis=0)).mean().tolist()
|
|
groups.append(new)
|
|
points = p1[distance > threshold]
|
|
|
|
return np.array(groups)
|
|
|
|
|
|
class Lines:
|
|
MID_Y = 360
|
|
|
|
def __init__(self, lines, is_horizontal):
|
|
if lines is None or len(lines) == 0:
|
|
self._bool = False
|
|
self.lines = None
|
|
else:
|
|
self._bool = True
|
|
self.lines = np.array(lines)
|
|
if len(self.lines.shape) == 1:
|
|
self.lines = np.array([self.lines])
|
|
self.rho, self.theta = self.lines.T
|
|
self.is_horizontal = is_horizontal
|
|
|
|
def __str__(self):
|
|
return str(self.lines)
|
|
|
|
__repr__ = __str__
|
|
|
|
def __iter__(self):
|
|
return iter(self.lines)
|
|
|
|
def __getitem__(self, item):
|
|
return Lines(self.lines[item], is_horizontal=self.is_horizontal)
|
|
|
|
def __len__(self):
|
|
if self:
|
|
return len(self.lines)
|
|
else:
|
|
return 0
|
|
|
|
def __bool__(self):
|
|
return self._bool
|
|
|
|
@property
|
|
def sin(self):
|
|
return np.sin(self.theta)
|
|
|
|
@property
|
|
def cos(self):
|
|
return np.cos(self.theta)
|
|
|
|
@property
|
|
def mean(self):
|
|
if not self:
|
|
return None
|
|
if self.is_horizontal:
|
|
return np.mean(self.lines, axis=0)
|
|
else:
|
|
x = np.mean(self.mid)
|
|
theta = np.mean(self.theta)
|
|
rho = x * np.cos(theta) + self.MID_Y * np.sin(theta)
|
|
return np.array((rho, theta))
|
|
|
|
@property
|
|
def mid(self):
|
|
if not self:
|
|
return np.array([])
|
|
if self.is_horizontal:
|
|
return self.rho
|
|
else:
|
|
return (self.rho - self.MID_Y * self.sin) / self.cos
|
|
|
|
def get_x(self, y):
|
|
return (self.rho - y * self.sin) / self.cos
|
|
|
|
def get_y(self, x):
|
|
return (self.rho - x * self.cos) / self.sin
|
|
|
|
def add(self, other):
|
|
if not other:
|
|
return self
|
|
if not self:
|
|
return other
|
|
lines = np.append(self.lines, other.lines, axis=0)
|
|
return Lines(lines, is_horizontal=self.is_horizontal)
|
|
|
|
def move(self, x, y):
|
|
if not self:
|
|
return self
|
|
if self.is_horizontal:
|
|
self.lines[:, 0] += y
|
|
else:
|
|
self.lines[:, 0] += x * self.cos + y * self.sin
|
|
return Lines(self.lines, is_horizontal=self.is_horizontal)
|
|
|
|
def sort(self):
|
|
if not self:
|
|
return self
|
|
lines = self.lines[np.argsort(self.mid)]
|
|
return Lines(lines, is_horizontal=self.is_horizontal)
|
|
|
|
def group(self, threshold=3):
|
|
if not self:
|
|
return self
|
|
lines = self.sort()
|
|
prev = 0
|
|
regrouped = []
|
|
group = []
|
|
for mid, line in zip(lines.mid, lines.lines):
|
|
line = line.tolist()
|
|
if mid - prev > threshold:
|
|
if len(regrouped) == 0:
|
|
if len(group) != 0:
|
|
regrouped = [group]
|
|
else:
|
|
regrouped += [group]
|
|
group = [line]
|
|
else:
|
|
group.append(line)
|
|
prev = mid
|
|
regrouped += [group]
|
|
regrouped = np.vstack([Lines(r, is_horizontal=self.is_horizontal).mean for r in regrouped])
|
|
return Lines(regrouped, is_horizontal=self.is_horizontal)
|
|
|
|
def distance_to_point(self, point):
|
|
x, y = point
|
|
return self.rho - x * self.cos - y * self.sin
|
|
|
|
@staticmethod
|
|
def cross_two_lines(lines1, lines2):
|
|
for rho1, sin1, cos1 in zip(lines1.rho, lines1.sin, lines1.cos):
|
|
for rho2, sin2, cos2 in zip(lines2.rho, lines2.sin, lines2.cos):
|
|
a = np.array([[cos1, sin1], [cos2, sin2]])
|
|
b = np.array([rho1, rho2])
|
|
yield np.linalg.solve(a, b)
|
|
|
|
def cross(self, other):
|
|
points = np.vstack(self.cross_two_lines(self, other))
|
|
points = Points(points)
|
|
return points
|
|
|
|
def delete(self, other, threshold=3):
|
|
if not self:
|
|
return self
|
|
|
|
other_mid = other.mid
|
|
lines = []
|
|
for mid, line in zip(self.mid, self.lines):
|
|
if np.any(np.abs(other_mid - mid) < threshold):
|
|
continue
|
|
lines.append(line)
|
|
|
|
return Lines(lines, is_horizontal=self.is_horizontal)
|
|
|
|
|
|
def area2corner(area):
|
|
"""
|
|
Args:
|
|
area: (x1, y1, x2, y2)
|
|
|
|
Returns:
|
|
np.ndarray: [upper-left, upper-right, bottom-left, bottom-right]
|
|
"""
|
|
return np.array([[area[0], area[1]], [area[2], area[1]], [area[0], area[3]], [area[2], area[3]]])
|
|
|
|
|
|
def corner2area(corner):
|
|
"""
|
|
Args:
|
|
corner: [upper-left, upper-right, bottom-left, bottom-right]
|
|
|
|
Returns:
|
|
np.ndarray: (x1, y1, x2, y2)
|
|
"""
|
|
x, y = np.array(corner).T
|
|
return np.rint([np.min(x), np.min(y), np.max(x), np.max(y)]).astype(int)
|
|
|
|
|
|
def corner2inner(corner):
|
|
"""
|
|
The largest rectangle inscribed in trapezoid.
|
|
|
|
Args:
|
|
corner: ((x0, y0), (x1, y1), (x2, y2), (x3, y3))
|
|
|
|
Returns:
|
|
tuple[int]: (upper_left_x, upper_left_y, bottom_right_x, bottom_right_y).
|
|
"""
|
|
x0, y0, x1, y1, x2, y2, x3, y3 = np.array(corner).flatten()
|
|
area = tuple(np.rint((max(x0, x2), max(y0, y1), min(x1, x3), min(y2, y3))).astype(int))
|
|
return area
|
|
|
|
|
|
def corner2outer(corner):
|
|
"""
|
|
The smallest rectangle circumscribed by the trapezoid.
|
|
|
|
Args:
|
|
corner: ((x0, y0), (x1, y1), (x2, y2), (x3, y3))
|
|
|
|
Returns:
|
|
tuple[int]: (upper_left_x, upper_left_y, bottom_right_x, bottom_right_y).
|
|
"""
|
|
x0, y0, x1, y1, x2, y2, x3, y3 = np.array(corner).flatten()
|
|
area = tuple(np.rint((min(x0, x2), min(y0, y1), max(x1, x3), max(y2, y3))).astype(int))
|
|
return area
|
|
|
|
|
|
def trapezoid2area(corner, pad=0):
|
|
"""
|
|
Convert corners of a trapezoid to area.
|
|
|
|
Args:
|
|
corner: ((x0, y0), (x1, y1), (x2, y2), (x3, y3))
|
|
pad (int):
|
|
Positive value for inscribed area.
|
|
Negative value and 0 for circumscribed area.
|
|
|
|
Returns:
|
|
tuple[int]: (upper_left_x, upper_left_y, bottom_right_x, bottom_right_y).
|
|
"""
|
|
if pad > 0:
|
|
return area_pad(corner2inner(corner), pad=pad)
|
|
elif pad < 0:
|
|
return area_pad(corner2outer(corner), pad=pad)
|
|
else:
|
|
return area_pad(corner2area(corner), pad=pad)
|
|
|
|
|
|
def points_to_area_generator(points, shape):
|
|
"""
|
|
Args:
|
|
points (np.ndarray): N x 2 array.
|
|
shape (tuple): (x, y).
|
|
|
|
Yields:
|
|
tuple, np.ndarray: (x, y), [upper-left, upper-right, bottom-left, bottom-right]
|
|
"""
|
|
points = points.reshape(*shape[::-1], 2)
|
|
for y in range(shape[1] - 1):
|
|
for x in range(shape[0] - 1):
|
|
area = np.array([points[y, x], points[y, x + 1], points[y + 1, x], points[y + 1, x + 1]])
|
|
yield ((x, y), area)
|
|
|
|
|
|
def get_map_inner(points):
|
|
"""
|
|
Args:
|
|
points (np.ndarray): N x 2 array.
|
|
|
|
Yields:
|
|
np.ndarray: (x, y).
|
|
"""
|
|
points = np.array(points)
|
|
if len(points.shape) == 1:
|
|
points = np.array([points])
|
|
|
|
return np.mean(points, axis=0)
|
|
|
|
|
|
def separate_edges(edges, inner):
|
|
"""
|
|
Args:
|
|
edges: A iterate object which contains float ot integer.
|
|
inner (float, int): A inner point to separate edges.
|
|
|
|
Returns:
|
|
float, float: Lower edge and upper edge. if not found, return None
|
|
"""
|
|
if len(edges) == 0:
|
|
return None, None
|
|
elif len(edges) == 1:
|
|
edge = edges[0]
|
|
return (None, edge) if edge > inner else (edge, None)
|
|
else:
|
|
lower = [edge for edge in edges if edge < inner]
|
|
upper = [edge for edge in edges if edge > inner]
|
|
lower = lower[0] if len(lower) else None
|
|
upper = upper[-1] if len(upper) else None
|
|
return lower, upper
|
|
|
|
|
|
def perspective_transform(points, data):
|
|
"""
|
|
Args:
|
|
points: A 2D array with shape (n, 2)
|
|
data: Perspective data, a 2D array with shape (3, 3),
|
|
see https://web.archive.org/web/20150222120106/xenia.media.mit.edu/~cwren/interpolator/
|
|
|
|
Returns:
|
|
np.ndarray: 2D array with shape (n, 2)
|
|
"""
|
|
points = np.pad(np.array(points), ((0, 0), (0, 1)), mode='constant', constant_values=1)
|
|
matrix = data.dot(points.T)
|
|
x, y = matrix[0] / matrix[2], matrix[1] / matrix[2]
|
|
points = np.array([x, y]).T
|
|
return points
|
|
|
|
|
|
def fit_points(points, mod, encourage=1):
|
|
"""
|
|
Get a closet point in a group of points with common difference.
|
|
Will ignore points in the distance.
|
|
|
|
Args:
|
|
points: Points on image, a 2D array with shape (n, 2)
|
|
mod: Common difference of points, (x, y).
|
|
encourage (int, float): Describe how close to fit a group of points, in pixel.
|
|
Smaller means closer to local minimum, larger means closer to global minimum.
|
|
|
|
Returns:
|
|
np.ndarray: (x, y)
|
|
"""
|
|
encourage = np.square(encourage)
|
|
mod = np.array(mod)
|
|
points = np.array(points) % mod
|
|
points = np.append(points - mod, points, axis=0)
|
|
|
|
def cal_distance(point):
|
|
distance = np.linalg.norm(points - point, axis=1)
|
|
return np.sum(1 / (1 + np.exp(encourage / distance) / distance))
|
|
|
|
# Fast local minimizer
|
|
# result = optimize.minimize(cal_distance, np.mean(points, axis=0), method='SLSQP')
|
|
# return result['x'] % mod
|
|
|
|
# Brute-force global minimizer
|
|
area = np.append(-mod - 10, mod + 10)
|
|
result = optimize.brute(cal_distance, ((area[0], area[2]), (area[1], area[3])))
|
|
return result % mod
|