from math import sqrt, cos, pi
import time
import random

import numpy as np
from scipy.optimize import curve_fit

from artiq.language import *


def model(x, F0):
    t = 0.02
    tpi = 0.03
    A = 80
    B = 40
    return A+(B-A)/2/(4*tpi**2*(x-F0)**2+1)*(1-cos(pi*t/tpi*sqrt(4*tpi**2*(x-F0)**2+1)))


def model_numpy(xdata, F0):
    r = np.zeros(len(xdata))
    for i, x in enumerate(xdata):
        r[i] = model(x, F0)
    return r


class FloppingF(EnvExperiment):
    """Flopping F simulation"""

    def build(self):
        self.setattr_argument("frequency_scan", Scannable(
            default=LinearScan(1000, 2000, 100)))

        self.setattr_argument("F0", NumberValue(1500, min=1000, max=2000))
        self.setattr_argument("noise_amplitude", NumberValue(0.1, min=0, max=100,
                                                          step=0.01))

        self.setattr_device("scheduler")

    def run(self):
        l = len(self.frequency_scan)
        frequency = self.set_dataset("flopping_f_frequency",
                                     np.full(l, np.nan),
                                     broadcast=True, save=False)
        brightness = self.set_dataset("flopping_f_brightness",
                                      np.full(l, np.nan),
                                     broadcast=True)
        self.set_dataset("flopping_f_fit", np.full(l, np.nan),
                         broadcast=True, save=False)

        for i, f in enumerate(self.frequency_scan):
            m_brightness = model(f, self.F0) + self.noise_amplitude*random.random()
            frequency[i] = f
            brightness[i] = m_brightness
            time.sleep(0.1)
        self.scheduler.submit(self.scheduler.pipeline_name, self.scheduler.expid,
                              self.scheduler.priority, time.time() + 20, False)

    def analyze(self):
        # Use get_dataset so that analyze can be run stand-alone.
        frequency = self.get_dataset("flopping_f_frequency")
        brightness = self.get_dataset("flopping_f_brightness")
        popt, pcov = curve_fit(model_numpy,
                               frequency, brightness,
                               p0=[self.get_dataset("flopping_freq", 1500.0)])
        perr = np.sqrt(np.diag(pcov))
        if perr < 0.1:
            F0 = float(popt)
            self.set_dataset("flopping_freq", F0, persist=True, save=False)
            self.set_dataset("flopping_f_fit",
                             np.array([model(x, F0) for x in frequency]),
                             broadcast=True, save=False)
