Example #1
0
File: D3EUtil.py Project: Q-KIM/D3E 
def cramerVonMises(x, y):

	try:
		x = sorted(x);
		y = sorted(y);

		pool = x + y;

		ps, pr = _sortRank(pool)

		rx = array ( [ pr[ind] for ind in [ ps.index(element) for element in x ] ] )
		ry = array ( [ pr[ind] for ind in [ ps.index(element) for element in y ] ] )

		n = len(x)
		m = len(y)

		i = array(range(1, n+1))
		j = array(range(1, m+1))

		u = n * sum ( power( (rx - i), 2 ) ) + m * sum ( power((ry - j), 2) )

		t = u / (n*m*(n+m)) - (4*n*m-1) / (6 * (n+m))
		Tmu = 1/6 + 1 / (6*(n+m))
		Tvar = 1/45 * ( (m+n+1) / power((m+n),2) ) * (4*m*n*(m+n) - 3*(power(m,2) + power(n,2)) - 2*m*n) / (4*m*n)
		t = (t - Tmu) / power(45*Tvar, 0.5) + 1/6

		if t < 0:
			return -1
		elif t <= 12:
			a = 1-mp.nsum(lambda x : ( mp.gamma(x+0.5) / ( mp.gamma(0.5) * mp.fac(x) ) ) *
					 mp.power( 4*x + 1, 0.5 ) * mp.exp ( - mp.power(4*x + 1, 2) / (16*t) ) *
					  mp.besselk(0.25 , mp.power(4*x + 1, 2) / (16*t) ), [0,100] ) / (mp.pi*mp.sqrt(t))
			return float(mp.nstr(a,3))
		else:
			return 0
	except Exception as e:
		print e
		return -1
Example #2
0
 def _f(x):
     return mp.gamma(g+1)* \
     np.power(x/mpf(2), -g) * \
     mp.exp(1j*x) * mp.besselj(g, x)
Example #3
0
def asym_arg(eta, x, l_f):
    sigma_l = cmath.phase(complex(symmath.gamma(l_f + 1 + 1.0j*eta)))
    return x - eta * np.log(2.0*x) -0.5*l_f*np.pi + sigma_l
Example #4
0
def asym_arg(eta, x, l_f):
    sigma_l = cmath.phase(complex(symmath.gamma(l_f + 1 + 1.0j * eta)))
    return x - eta * np.log(2.0 * x) - 0.5 * l_f * np.pi + sigma_l