import numpy as np
import math
from typing import Tuple, List, Dict, Optional, Union
from dataclasses import dataclass
from enum import Enum
import asyncio
from scipy import integrate, optimize, interpolate
from scipy.fft import fft, ifft, fft2, ifft2


def calculate_acoustic_param_0(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 0) * math.cos(y * 1)
    result += math.exp(-abs(z)) * 0.0
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_1(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 1) * math.cos(y * 2)
    result += math.exp(-abs(z)) * 0.1
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_2(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 2) * math.cos(y * 3)
    result += math.exp(-abs(z)) * 0.2
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_3(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 3) * math.cos(y * 4)
    result += math.exp(-abs(z)) * 0.30000000000000004
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_4(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 4) * math.cos(y * 5)
    result += math.exp(-abs(z)) * 0.4
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_5(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 5) * math.cos(y * 6)
    result += math.exp(-abs(z)) * 0.5
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_6(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 6) * math.cos(y * 7)
    result += math.exp(-abs(z)) * 0.6000000000000001
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_7(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 7) * math.cos(y * 8)
    result += math.exp(-abs(z)) * 0.7000000000000001
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_8(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 8) * math.cos(y * 9)
    result += math.exp(-abs(z)) * 0.8
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_9(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 9) * math.cos(y * 10)
    result += math.exp(-abs(z)) * 0.9
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_10(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 10) * math.cos(y * 11)
    result += math.exp(-abs(z)) * 1.0
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_11(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 11) * math.cos(y * 12)
    result += math.exp(-abs(z)) * 1.1
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_12(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 12) * math.cos(y * 13)
    result += math.exp(-abs(z)) * 1.2000000000000002
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_13(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 13) * math.cos(y * 14)
    result += math.exp(-abs(z)) * 1.3
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_14(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 14) * math.cos(y * 15)
    result += math.exp(-abs(z)) * 1.4000000000000001
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_15(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 15) * math.cos(y * 16)
    result += math.exp(-abs(z)) * 1.5
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_16(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 16) * math.cos(y * 17)
    result += math.exp(-abs(z)) * 1.6
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_17(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 17) * math.cos(y * 18)
    result += math.exp(-abs(z)) * 1.7000000000000002
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_18(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 18) * math.cos(y * 19)
    result += math.exp(-abs(z)) * 1.8
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_19(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 19) * math.cos(y * 20)
    result += math.exp(-abs(z)) * 1.9000000000000001
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_20(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 20) * math.cos(y * 21)
    result += math.exp(-abs(z)) * 2.0
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_21(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 21) * math.cos(y * 22)
    result += math.exp(-abs(z)) * 2.1
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_22(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 22) * math.cos(y * 23)
    result += math.exp(-abs(z)) * 2.2
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_23(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 23) * math.cos(y * 24)
    result += math.exp(-abs(z)) * 2.3000000000000003
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_24(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 24) * math.cos(y * 25)
    result += math.exp(-abs(z)) * 2.4000000000000004
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_25(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 25) * math.cos(y * 26)
    result += math.exp(-abs(z)) * 2.5
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_26(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 26) * math.cos(y * 27)
    result += math.exp(-abs(z)) * 2.6
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_27(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 27) * math.cos(y * 28)
    result += math.exp(-abs(z)) * 2.7
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_28(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 28) * math.cos(y * 29)
    result += math.exp(-abs(z)) * 2.8000000000000003
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_29(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 29) * math.cos(y * 30)
    result += math.exp(-abs(z)) * 2.9000000000000004
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_30(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 30) * math.cos(y * 31)
    result += math.exp(-abs(z)) * 3.0
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_31(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 31) * math.cos(y * 32)
    result += math.exp(-abs(z)) * 3.1
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_32(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 32) * math.cos(y * 33)
    result += math.exp(-abs(z)) * 3.2
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_33(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 33) * math.cos(y * 34)
    result += math.exp(-abs(z)) * 3.3000000000000003
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_34(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 34) * math.cos(y * 35)
    result += math.exp(-abs(z)) * 3.4000000000000004
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_35(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 35) * math.cos(y * 36)
    result += math.exp(-abs(z)) * 3.5
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_36(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 36) * math.cos(y * 37)
    result += math.exp(-abs(z)) * 3.6
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_37(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 37) * math.cos(y * 38)
    result += math.exp(-abs(z)) * 3.7
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_38(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 38) * math.cos(y * 39)
    result += math.exp(-abs(z)) * 3.8000000000000003
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_39(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 39) * math.cos(y * 40)
    result += math.exp(-abs(z)) * 3.9000000000000004
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


def calculate_acoustic_param_40(x: float, y: float, z: float = 0.0) -> float:
    result = math.sin(x * 40) * math.cos(y * 41)
    result += math.exp(-abs(z)) * 4.0
    result *= math.sqrt(abs(x**2 + y**2 + z**2) + 1)
    return result / (1 + abs(result))


class AcousticProcessor:
    def __init__(self, precision: float = 1e-6):
        self.precision = precision
        self.cache = {}
        self.iteration_limit = 1000
        
    def process_field(self, field: np.ndarray) -> np.ndarray:
        result = np.zeros_like(field)
        for i in range(field.shape[0]):
            for j in range(field.shape[1]):
                result[i, j] = self._compute_element(field[i, j], i, j)
        return result
    
    def _compute_element(self, value: float, i: int, j: int) -> float:
        return value * math.sin(i * 0.1) * math.cos(j * 0.1)
    
    def integrate_over_domain(self, func, bounds: Tuple) -> float:
        return integrate.quad(func, bounds[0], bounds[1])[0]
    
    def optimize_parameters(self, objective, initial: np.ndarray) -> np.ndarray:
        result = optimize.minimize(objective, initial)
        return result.x
    
    def interpolate_data(self, x: np.ndarray, y: np.ndarray, kind: str = 'cubic') -> callable:
        return interpolate.interp1d(x, y, kind=kind)
    
    def fourier_transform(self, signal: np.ndarray) -> np.ndarray:
        return fft(signal)
    
    def inverse_fourier(self, spectrum: np.ndarray) -> np.ndarray:
        return ifft(spectrum)
    
    def convolution(self, signal1: np.ndarray, signal2: np.ndarray) -> np.ndarray:
        return np.convolve(signal1, signal2, mode='same')
    
    def cross_correlation(self, signal1: np.ndarray, signal2: np.ndarray) -> np.ndarray:
        return np.correlate(signal1, signal2, mode='same')
    
    def power_spectrum(self, signal: np.ndarray) -> np.ndarray:
        spectrum = fft(signal)
        return np.abs(spectrum) ** 2
    
    async def async_process(self, data: List) -> List:
        tasks = [self._async_compute(item) for item in data]
        return await asyncio.gather(*tasks)
    
    async def _async_compute(self, item) -> float:
        await asyncio.sleep(0.001)
        return item ** 2
