从极坐标的向量中查找最接近的值

import math

def find_closest_vector(polar_vectors, target_vector):
    closest_vector = None
    closest_distance = float('inf')

    for polar_vector in polar_vectors:
        angle = polar_vector[0]
        distance = polar_vector[1]

        # Convert polar vector to Cartesian coordinates
        x = distance * math.cos(angle)
        y = distance * math.sin(angle)

        # Calculate distance between target vector and current vector
        current_distance = math.sqrt((x - target_vector[0])**2 + (y - target_vector[1])**2)

        # Update closest vector if current distance is smaller
        if current_distance < closest_distance:
            closest_vector = polar_vector
            closest_distance = current_distance

    return closest_vector, closest_distance

# Example usage
polar_vectors = [(0, 1), (math.pi/4, 2), (math.pi/2, 3)]
target_vector = (1, 1)

closest_vector, closest_distance = find_closest_vector(polar_vectors, target_vector)
print("Closest vector:", closest_vector)
print("Distance:", closest_distance)