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@ -540,7 +540,7 @@ class Jonswap(ModelSpectrum):
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if self.gamma is None or not isfinite(self.gamma) or self.gamma < 1:
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self.gamma = jonswap_peakfact(Hm0, Tp)
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self._preCalculateAg()
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self._pre_calculate_ag()
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if chk_seastate:
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self.chk_seastate()
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@ -568,58 +568,63 @@ class Jonswap(ModelSpectrum):
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Gf = self.peak_e_factor(wn)
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return Gf * _gengamspec(wn, self.N, self.M)
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def _preCalculateAg(self):
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''' PRECALCULATEAG Precalculate normalization.
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'''
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if self.gamma == 1:
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self.Ag = 1.0
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self.method = 'parametric'
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elif self.Ag is not None:
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self.method = 'custom'
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if self.Ag <= 0:
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raise ValueError('Ag must be larger than 0!')
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elif self.method[0] == 'i':
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# normalizing by integration
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self.method = 'integration'
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if self.wnc < 1.0:
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raise ValueError('Normalized cutoff frequency, wnc, ' +
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'must be larger than one!')
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area1, unused_err1 = integrate.quad(self._localspec, 0, 1)
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area2, unused_err2 = integrate.quad(self._localspec, 1, self.wnc)
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area = area1 + area2
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self.Ag = 1.0 / area
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elif self.method[1] == 'p':
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self.method = 'parametric'
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# Original normalization
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def _parametric_ag(self):
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self.method = 'parametric' # Original normalization
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# NOTE: that Hm0**2/16 generally is not equal to intS(w)dw
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# with this definition of Ag if sa or sb are changed from the
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# default values
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N = self.N
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M = self.M
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gammai = self.gamma
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parametersOK = (3 <= N and N <= 50) or (
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2 <= M and M <= 9.5) and (1 <= gammai and gammai <= 20)
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if parametersOK:
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f1NM = 4.1 * \
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(N - 2 * M ** 0.28 + 5.3) ** (-1.45 * M ** 0.1 + 0.96)
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f2NM = (2.2 * M ** (-3.3) + 0.57) * \
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N ** (-0.58 * M ** 0.37 + 0.53) - 1.04 * M ** (-1.9) + 0.94
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parametersOK = (3 <= N and N <= 50 or 2 <= M and M <= 9.5 and
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1 <= gammai and gammai <= 20)
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f1NM = 4.1 * (N - 2 * M ** 0.28 + 5.3) ** (-1.45 * M ** 0.1 + 0.96)
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f2NM = ((2.2 * M ** (-3.3) + 0.57) * N ** (-0.58 * M ** 0.37 + 0.53) -
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1.04 * M ** (-1.9) + 0.94)
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self.Ag = (1 + f1NM * log(gammai) ** f2NM) / gammai
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if not parametersOK:
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raise ValueError('Not knowing the normalization because N, ' +
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'M or peakedness parameter is out of bounds!')
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# elseif N == 5 && M == 4,
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# options.Ag = (1+1.0*log(gammai).**1.16)/gammai
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# options.Ag = (1-0.287*log(gammai))
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# options.normalizeMethod = 'Three'
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# elseif N == 4 && M == 4,
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# options.Ag = (1+1.1*log(gammai).**1.19)/gammai
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else:
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raise ValueError('Not knowing the normalization because N, ' +
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'M or peakedness parameter is out of bounds!')
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if self.sigmaA != 0.07 or self.sigmaB != 0.09:
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warnings.warn('Use integration to calculate Ag when ' +
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'sigmaA!=0.07 or sigmaB!=0.09')
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def _custom_ag(self):
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self.method = 'custom'
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if self.Ag <= 0:
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raise ValueError('Ag must be larger than 0!')
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def _integrate_ag(self):
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# normalizing by integration
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self.method = 'integration'
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if self.wnc < 1.0:
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raise ValueError('Normalized cutoff frequency, wnc, ' +
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'must be larger than one!')
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area1, unused_err1 = integrate.quad(self._localspec, 0, 1)
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area2, unused_err2 = integrate.quad(self._localspec, 1, self.wnc)
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area = area1 + area2
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self.Ag = 1.0 / area
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def _pre_calculate_ag(self):
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''' PRECALCULATEAG Precalculate normalization.
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'''
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if self.gamma == 1:
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self.Ag = 1.0
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self.method = 'parametric'
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elif self.Ag is not None:
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self._custom_ag()
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else:
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norm_ag = dict(i=self._integrate_ag,
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p=self._parametric_ag,
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c=self._custom_ag)[self.method[0]]
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norm_ag()
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def peak_e_factor(self, wn):
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''' PEAKENHANCEMENTFACTOR
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'''
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@ -1523,25 +1528,7 @@ class Spreading(object):
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spreadfun = self._spreadfun[self.type[0]]
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return spreadfun(theta, w, wc)
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def chk_input(self, theta, w=1, wc=1): # [s_par,TH,phi0,Nt] =
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''' CHK_INPUT
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CALL [s_par,TH,phi0,Nt] = inputchk(theta,w,wc)
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'''
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wn = atleast_1d(w / wc)
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theta = theta.ravel()
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Nt = len(theta)
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# Make sure theta is from -pi to pi
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phi0 = 0.0
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theta = mod(theta + pi, 2 * pi) - pi
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if hasattr(self.theta0, '__call__'):
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th0 = self.theta0(wn.flatten())
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else:
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th0 = atleast_1d(self.theta0).flatten()
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def _normalize_angle(self, wn, theta, th0):
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Nt0 = th0.size
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Nw = wn.size
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isFreqDepDir = (Nt0 == Nw)
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@ -1557,20 +1544,31 @@ class Spreading(object):
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TH = mod(theta - th0 + pi, 2 * pi) - pi # make sure -pi<=TH<pi
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if self.method is not None: # frequency dependent spreading
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TH = TH[:, newaxis]
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return TH
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# Get spreading parameter
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s = self.spread_par_s(wn)
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def _get_main_direction(self, wn):
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if hasattr(self.theta0, '__call__'):
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return self.theta0(wn.flatten())
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return atleast_1d(self.theta0).flatten()
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if self.type[0] == 'c': # cos2s
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s_par = s
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else:
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# First Fourier coefficient of the directional spreading function.
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r1 = abs(s / (s + 1))
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# Find distribution parameter from first Fourier coefficient.
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s_par = self.fourier2distpar(r1)
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if self.method is not None:
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s_par = s_par[newaxis, :]
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return s_par, TH, phi0, Nt
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def chk_input(self, theta, w=1, wc=1):
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''' CHK_INPUT
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CALL [s_par,TH,phi0,Nt] = inputchk(theta,w,wc)
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'''
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wn = atleast_1d(w / wc)
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theta = theta.ravel()
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Nt = len(theta)
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# Make sure theta is from -pi to pi
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phi0 = 0.0
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theta = mod(theta + pi, 2 * pi) - pi
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theta0 = self._get_main_direction(wn)
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TH = self._normalize_angle(wn, theta, theta0)
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s = self.spread_parameter_s(wn)
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return s, TH, phi0, Nt
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def cos2s(self, theta, w=1, wc=1): # [D, phi0] =
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''' COS2S spreading function
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@ -1875,48 +1873,32 @@ class Spreading(object):
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r = clip(r1, 0., 1.0)
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return where(r <= 0, inf, sqrt(-2.0 * log(r)))
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def spread_par_s(self, wn):
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''' Return spread parameter, S, of COS2S function
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Parameters
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----------
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wn : array_like
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normalized frequencies.
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Returns
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-------
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S : ndarray
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spread parameter of COS2S functions
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'''
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if self.method is None:
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# no frequency dependent spreading,
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# but possible frequency dependent direction
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s = atleast_1d(self.s_a)
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else:
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wn_lo = self.wn_lo
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wn_up = self.wn_up
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def _init_frequency_dependent_spreading(self, wn):
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wn_lo, wn_up = self.wn_lo, self.wn_up
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wn_c = self.wn_c
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spa = self.s_a
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spb = self.s_b
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ma = self.m_a
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mb = self.m_b
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spa, spb = self.s_a, self.s_b
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ma, mb = self.m_a, self.m_b
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# Mitsuyasu et. al and Hasselman et. al parametrization of
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# frequency dependent spreading
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s = where(wn <= wn_c, spa * wn ** ma, spb * wn ** mb)
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s[wn <= wn_lo] = 0.0
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return s, spb, wn_up, mb
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k = flatnonzero(wn_up < wn)
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if k.size > 0:
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if self.method[0] == 'd':
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def _donelan_spread(self, wn):
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# Donelan et. al. parametrization for B in SECH-2
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s, spb, wn_up, mb = self._init_frequency_dependent_spreading(wn)
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k = flatnonzero(wn_up < wn)
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s[k] = spb * (wn_up) ** mb
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# Convert to S-paramater in COS-2S distribution
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r1 = self.r1ofsech2(s)
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s = r1 / (1. - r1)
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return s
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elif self.method[0] == 'b':
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def _banner_spread(self, wn):
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# Donelan et. al. parametrization for B in SECH-2
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s, spb, wn_up, mb = self._init_frequency_dependent_spreading(wn)
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k = flatnonzero(wn_up < wn)
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# Banner parametrization for B in SECH-2
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s3m = spb * (wn_up) ** mb
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s3p = self._donelan(wn_up)
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@ -1924,16 +1906,58 @@ class Spreading(object):
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scale = s3m / s3p
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s[k] = scale * self.donelan(wn[k])
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r1 = self.r1ofsech2(s)
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# Convert to S-paramater in COS-2S distribution
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s = r1 / (1. - r1)
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else:
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s[k] = 0.0
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return s
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def _mitsuyasu_spread(self, wn):
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s, _spb, wn_up, _mb = self._init_frequency_dependent_spreading(wn)
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k = flatnonzero(wn_up < wn)
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s[k] = 0
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return s
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def _frequency_independent_spread(self, _wn):
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"""
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no frequency dependent spreading,
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but possible frequency dependent direction
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"""
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return atleast_1d(self.s_a)
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def spread_parameter_s(self, wn):
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''' Return spread parameter, S, equivalent for the COS2S function
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Parameters
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----------
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wn : array_like
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normalized frequencies.
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Returns
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-------
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S : ndarray
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spread parameter of COS2S functions
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'''
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spread = dict(b=self._banner_spread,
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d=self._donelan_spread,
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m=self._mitsuyasu_spread
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).get(self.method[0],
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self._frequency_independent_spread)
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s = spread(wn)
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if any(s < 0):
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raise ValueError('The COS2S spread parameter, S(w), ' +
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'value must be larger than 0')
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return s
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if self.type[0] == 'c': # cos2s
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s_par = s
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else:
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# First Fourier coefficient of the directional spreading function.
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r1 = abs(s / (s + 1))
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# Find distribution parameter from first Fourier coefficient.
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s_par = self.fourier2distpar(r1)
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if self.method is not None:
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s_par = s_par[newaxis, :]
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return s_par
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def _donelan(self, wn):
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''' High frequency decay of B of sech2 paramater
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