import numpy as np
from .utils.SkinColorFilter import SkinColorFilter
from .base import VHRMethod

class SSR(VHRMethod):
    methodName = 'SSR'

    def __init__(self, **kwargs):
        super(SSR, self).__init__(**kwargs)
        
    def apply(self, X):

        K = len(self.video.faceSignal)
        l = self.video.frameRate

        P = np.zeros(K)  # 1 | dim: K
        # store the eigenvalues Λ and the eigenvectors U at each frame
        L = np.zeros((3, K), dtype='float64')  # dim: 3xK
        U = np.zeros((3, 3, K), dtype='float64')  # dim: 3x3xK

        for k in range(K):
            n_roi = len(self.video.faceSignal[k])
            VV = []

            for r in range(n_roi):
                V = self.video.faceSignal[k][r].astype(np.float64)
                idx = V!=0
                idx2 = np.logical_and(np.logical_and(idx[:,:,0], idx[:,:,1]), idx[:,:,2])
                V_skin_only = V[idx2]
                VV.append(V_skin_only)
            
            VV = np.vstack(VV)

            C = self.__build_correlation_matrix(VV)  #dim: 3x3

            # get: eigenvalues Λ, eigenvectors U
            L[:,k], U[:,:,k] = self.__eigs(C)  # dim Λ: 3 | dim U: 3x3

            # build p and add it to the pulse signal P
            if k >= l:  # 5
                tau = k - l  # 5
                p = self.__build_p(tau, k, l, U, L)  # 6, 7, 8, 9, 10, 11 | dim: l
                P[tau:k] += p  # 11

            if np.isnan(np.sum(P)):
                print('NAN')
                print(self.video.faceSignal[k])
                
        bvp = P
  
        return bvp

    def __build_p(self, τ, k, l, U, Λ):
        """
        builds P
        Parameters
        ----------
        k: int
            The frame index
        l: int
            The temporal stride to use
        U: numpy.ndarray
            The eigenvectors of the c matrix (for all frames up to counter).
        Λ: numpy.ndarray
            The eigenvalues of the c matrix (for all frames up to counter).
        Returns
        -------
        p: numpy.ndarray
            The p signal to add to the pulse.
        """
        # SR'
        SR = np.zeros((3, l), 'float64')  # dim: 3xl
        z = 0

        for t in range(τ, k, 1):  # 6, 7
            a = Λ[0, t]
            b = Λ[1, τ]
            c = Λ[2, τ]
            d = U[:, 0, t].T
            e = U[:, 1, τ]
            f = U[:, 2, τ]
            g = U[:, 1, τ].T
            h = U[:, 2, τ].T
            x1 = a / b
            x2 = a / c
            x3 = np.outer(e, g)
            x4 = np.dot(d, x3)
            x5 = np.outer(f, h)
            x6 = np.dot(d, x5)
            x7 = np.sqrt(x1)
            x8 = np.sqrt(x2)
            x9 = x7 * x4
            x10 = x8 * x6
            x11 = x9 + x10
            SR[:, z] = x11  # 8 | dim: 3
            z += 1

        # build p and add it to the final pulse signal
        s0 = SR[0, :]  # dim: l
        s1 = SR[1, :]  # dim: l
        p = s0 - ((np.std(s0) / np.std(s1)) * s1)  # 10 | dim: l
        p = p - np.mean(p)  # 11
        return p  # dim: l

    def __get_skin_pixels(self, skin_filter, face, do_skininit):
        """
        get eigenvalues and eigenvectors, sort them.
        Parameters
        ----------
        C: numpy.ndarray
            The RGB values of skin-colored pixels.
        Returns
        -------
        Λ: numpy.ndarray
            The eigenvalues of the correlation matrix
        U: numpy.ndarray
            The (sorted) eigenvectors of the correlation matrix
        """
        ROI = face

        if do_skininit:
            skin_filter.estimate_gaussian_parameters(ROI)

        skin_mask = skin_filter.get_skin_mask(ROI)  # dim: wxh

        V = ROI[skin_mask]  # dim: (w×h)x3
        V = V.astype('float64') / 255.0

        return V


    def __build_correlation_matrix(self, V):
        # V dim: (W×H)x3
        #V = np.unique(V, axis=0)
        V_T = V.T  # dim: 3x(W×H)
        N = V.shape[0]
        # build the correlation matrix
        C = np.dot(V_T, V)  # dim: 3x3
        C = C / N

        return C

    def __eigs(self, C):
        """
        get eigenvalues and eigenvectors, sort them.
        Parameters
        ----------
        C: numpy.ndarray
            The RGB values of skin-colored pixels.
        Returns
        -------
        Λ: numpy.ndarray
            The eigenvalues of the correlation matrix
        U: numpy.ndarray
            The (sorted) eigenvectors of the correlation matrix
        """
        # get eigenvectors and sort them according to eigenvalues (largest first)
        L, U = np.linalg.eig(C)  # dim Λ: 3 | dim U: 3x3
        idx = L.argsort()  # dim: 3x1
        idx = idx[::-1]  # dim: 1x3
        L_ = L[idx]  # dim: 3
        U_ = U[:, idx]  # dim: 3x3

        return L_, U_