def test_value0( self):
k = np.sqrt( 0.00)
m = mp.mfrom( k = k)
K = mp.ellipk( m)
Kp = mp.ellipk( 1 - m)
self.assertAlmostEqual( 0.00, m)
self.assertAlmostEqual( mp.mpf( 1.570796326794), K)
self.assertEqual( mp.mpf( '+inf'), Kp)
def test_value5( self):
k = np.sqrt( 0.99)
m = mp.mfrom( k = k)
K = mp.ellipk( m)
Kp = mp.ellipk( 1 - m)
self.assertEqual( 0.99, m)
self.assertAlmostEqual( mp.mpf( 3.695637362989), K)
self.assertAlmostEqual( mp.mpf( 1.574745561317), Kp)
def test_value4( self):
k = np.sqrt( 0.90)
m = mp.mfrom( k = k)
K = mp.ellipk( m)
Kp = mp.ellipk( 1 - m)
self.assertAlmostEqual( 0.90, m)
self.assertAlmostEqual( mp.mpf( 2.578092113348), K)
self.assertAlmostEqual( mp.mpf( 1.612441348720), Kp)
def test_value3( self):
k = np.sqrt( 0.50)
m = mp.mfrom( k = k)
K = mp.ellipk( m)
Kp = mp.ellipk( 1 - m)
self.assertAlmostEqual( 0.50, m)
self.assertAlmostEqual( mp.mpf( 1.854074677301), K)
self.assertAlmostEqual( mp.mpf( 1.854074677301), Kp)
def calc_abel(k, zeta, eta):
k1 = sqrt(1-k**2)
a=k1+complex(0, 1)*k
b=k1-complex(0, 1)*k
abel_tmp = map(lambda zetai : \
complex(0, 1) * 1/(complex64(ellipk(k**2))*2*b) \
* complex64(ellipf( asin( (zetai )/a), mfrom(k=a/b))) \
- taufrom(k=k)/2,
zeta)
abel = []
for i in range(0, 4, 1):
abel.append(abel_select(k, abel_tmp[i], eta[i]))
return abel
def calc_abel(k, zeta, eta):
k1 = sqrt(1 - k**2)
a = k1 + complex(0, 1) * k
b = k1 - complex(0, 1) * k
abel_tmp = map(lambda zetai : \
complex(0, 1) * 1/(complex64(ellipk(k**2))*2*b) \
* complex64(ellipf( asin( (zetai )/a), mfrom(k=a/b))) \
- taufrom(k=k)/2,
zeta)
abel = []
for i in range(0, 4, 1):
abel.append(abel_select(k, abel_tmp[i], eta[i]))
return abel
def test_on_line(k, x0, x1, y, z, partition_size):
k1 = sqrt(1 - k**2)
a = k1 + complex(0, 1) * k
b = k1 - complex(0, 1) * k
x_step = (x1 - x0) / partition_size
for i in range(0, partition_size):
x = x0 + i * x_step
zeta = calc_zeta(k, x, y, z)
eta = calc_eta(k, x, y, z)
abel = calc_abel(k, zeta, eta)
mu = calc_mu(k, x, y, z, zeta, abel)
print "zeta/a", zeta[0] / a, zeta[1] / a, zeta[2] / a, zeta[3] / a, '\n'
print "eta", eta[0], eta[1], eta[2], eta[3], '\n'
print "abel", abel[0], abel[1], abel[2], abel[3], '\n'
abel_tmp= map(lambda zetai : \
complex(0, 1) * 1/(complex64(ellipk(k**2))*2*b) \
* complex64(ellipf( asin( (zetai )/a), mfrom(k=a/b))) \
- taufrom(k=k)/2,
zeta)
print "abel_tmp", abel_tmp[0], abel_tmp[1], abel_tmp[2], abel_tmp[
3], '\n'
print abel[0] + conj(abel[2]), abel[1] + conj(abel[3]), '\n'
print -taufrom(k=k) / 2, '\n'
for l in range(0, 4):
tmp = abs(complex64(calc_eta_by_theta(k, abel[l])) - eta[l])
print tmp
value = higgs_squared(k, x, y, z)
print "higgs", higgs_squared(k, x, y, z)
if (value > 1.0 or value < 0.0):
print "Exception"
print '\n'
# print mu[0]+mu[2], mu[1]+mu[3], '\n'
return
def test_on_line(k, x0, x1, y, z, partition_size):
k1 = sqrt(1-k**2)
a=k1+complex(0, 1)*k
b=k1-complex(0, 1)*k
x_step = (x1 - x0) / partition_size
for i in range(0, partition_size):
x=x0+i*x_step
zeta = calc_zeta(k ,x, y, z)
eta = calc_eta(k, x, y, z)
abel = calc_abel(k, zeta, eta)
mu = calc_mu(k, x, y, z, zeta, abel)
print "zeta/a", zeta[0]/a, zeta[1]/a, zeta[2]/a, zeta[3]/a, '\n'
print "eta", eta[0], eta[1], eta[2], eta[3], '\n'
print "abel", abel[0], abel[1],abel[2],abel[3],'\n'
abel_tmp= map(lambda zetai : \
complex(0, 1) * 1/(complex64(ellipk(k**2))*2*b) \
* complex64(ellipf( asin( (zetai )/a), mfrom(k=a/b))) \
- taufrom(k=k)/2,
zeta)
print "abel_tmp", abel_tmp[0], abel_tmp[1],abel_tmp[2],abel_tmp[3],'\n'
print abel[0]+conj(abel[2]), abel[1]+conj(abel[3]), '\n'
print - taufrom(k=k)/2, '\n'
for l in range(0,4):
tmp= abs(complex64(calc_eta_by_theta(k, abel[l])) - eta[l])
print tmp
value = higgs_squared(k, x, y, z)
print "higgs", higgs_squared(k,x,y,z)
if (value > 1.0 or value <0.0):
print "Exception"
print '\n'
# print mu[0]+mu[2], mu[1]+mu[3], '\n'
return