# -*- coding: utf-8 -*-
#
# Copyright (C) 2015,20016 Thorsten Liebig (Thorsten.Liebig@gmx.de)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.
#

import numpy as np

def DFT_time2freq( t, val, freq, signal_type='pulse'):
    assert len(t)==len(val)
    assert len(freq)>0
    f_val = np.zeros(len(freq))*1j
    for n_f in range(len(freq)):
        f_val[n_f] = np.sum( val*np.exp( -1j*2*np.pi*freq[n_f] * t ) )

    if signal_type == 'pulse':
        f_val *= t[1]-t[0]
    elif signal_type == 'periodic':
        f_val /= len(t)
    else:
        raise Exception('Unknown signal type: "{}"'.format(signal_type))

    return 2*f_val  # single-sided spectrum

def Check_Array_Equal(a,b, tol, relative=False):
    a = np.array(a)
    b = np.array(b)
    if a.shape!=b.shape:
        return False
    if tol==0:
        return (a==b).all()
    if relative:
        d = np.abs((a-b)/a)
    else:
        d = np.abs((a-b))
    return np.max(d)<tol

if __name__=="__main__":
    import pylab as plt

    t = np.linspace(0,2,201)

    s = np.sin(2*np.pi*2*t)
    plt.plot(t,s)

    f = np.linspace(0,3,101)
    sf = DFT_time2freq(t, s, f, 'periodic')

    plt.figure()
    plt.plot(f, np.abs(sf))

    plt.show()