Example #1
0
def calc_tp_lab(tp_phi_tuple, eta, chi, phi, xyz_eta=[0, 0, 0]):
    tp_phi = matrix(tp_phi_tuple).T
    ETA = calcETA(eta * TORAD)
    CHI = calcCHI(chi * TORAD)
    PHI = calcPHI(phi * TORAD)
    xyz_eta = matrix(xyz_eta).T

    tp_lab = ETA * (xyz_eta + (CHI * PHI * tp_phi))
    return list(tp_lab.T.tolist()[0])
Example #2
0
def move_lab_origin_into_phi(chi, phi, xyz_eta_tuple):
    # the inverse of calc_tp_lab with tp_lab=0:
    CHI = calcCHI(chi * TORAD)
    PHI = calcPHI(phi * TORAD)
    xyz_eta = matrix(xyz_eta_tuple).T
    try:
        #work in IPython with numpy
        tp_phi = PHI.I * CHI.I * (-1.0 * xyz_eta)
    except:
        # work in GDA using jama_matrix_wrapper - definitely not nice
        tp_phi = PHI.I * CHI.I * (xyz_eta.__mul__(-1.0))
    return list(tp_phi.T.tolist()[0])
Example #3
0
    def _calc_sample_angles_given_two_sample_and_reference(
            self, samp_constraints, psi, theta, q_phi, n_phi):
        """Available combinations:
        chi, phi, reference
        mu, eta, reference,
        chi=90, mu=0, reference
        """

        N_phi = _calc_N(q_phi, n_phi)
        THETA = z_rotation(-theta)
        PSI = x_rotation(psi)

        if 'chi' in samp_constraints and 'phi' in samp_constraints:

            chi = samp_constraints['chi']
            phi = samp_constraints['phi']

            CHI = calcCHI(chi)
            PHI = calcPHI(phi)
            V = CHI * PHI * N_phi * PSI.T * THETA.T                     # (56)

            xi = atan2(-V[2, 0], V[2, 2])
            eta = atan2(-V[0, 1], V[1, 1])
            mu = atan2(-V[2, 1], sqrt(V[2, 2] ** 2 + V[2, 0] ** 2))

        elif 'mu' in samp_constraints and 'eta' in samp_constraints:

            mu = samp_constraints['mu']
            eta = samp_constraints['eta']

            V = N_phi * PSI.T * THETA.T                                  # (49)

            bot = sqrt(sin(eta) ** 2 * cos(mu) ** 2 + sin(mu) ** 2)
            chi_orig = (asin(-V[2, 1] / bot) -
                   atan2(sin(mu), (sin(eta) * cos(mu))))                 # (52)

            # Choose final chi solution here to obtain compatable xi and mu
            # TODO: This temporary solution works only for one case used on i07
            #       Return a list of possible solutions?
            if is_small(eta) and is_small(mu + pi / 2):
                for chi in _generate_transformed_values(chi_orig):
                    if  pi / 2 <= chi < pi:
                        break
            else:
                chi = chi_orig

            a = sin(chi) * cos(eta)
            b = sin(chi) * sin(eta) * sin(mu) - cos(chi) * cos(mu)
            xi = atan2(V[2, 2] * a + V[2, 0] * b,
                       V[2, 0] * a - V[2, 2] * b)                        # (54)

            a = sin(chi) * sin(mu) - cos(mu) * cos(chi) * sin(eta)
            b = cos(mu) * cos(eta)
            phi = atan2(V[1, 1] * a - V[0, 1] * b,
                        V[0, 1] * a + V[1, 1] * b)                       # (55)
#            if is_small(mu+pi/2) and is_small(eta) and False:
#                phi_general = phi
#                # solved in extensions_to_yous_paper.wxm
#                phi = atan2(V[1, 1], V[0, 1])
#                logger.info("phi = %.3f or %.3f (std)",
#                            phi*TODEG, phi_general*TODEG )

        elif 'chi' in samp_constraints and 'mu' in samp_constraints:
            # derived in extensions_to_yous_paper.wxm
            chi = samp_constraints['chi']
            mu = samp_constraints['mu']

            if not is_small(mu) and not is_small(chi - pi / 2):
                raise Exception('The fixed chi, mu, psi/alpha/beta modes only '
                                ' currently work with chi=90 and mu=0')
            V = N_phi * PSI.T * THETA.T
            eta = asin(-V[2, 1])
            xi = atan2(V[2, 2], V[2, 0])
            phi = -atan2(V[0, 1], V[1, 1])

        else:
            raise DiffcalcException(
                'No code yet to handle this combination of 2 sample '
                'constraints and one reference!:' + str(samp_constraints))
        return xi, psi, mu, eta, chi, phi
 def calcUB(self):
     CHI = calcCHI(self.chiMissmount * TORAD)
     PHI = calcPHI(self.phiMissmount * TORAD)
     self.UB = CHI * PHI * self.cut.B
Example #5
0
 def calcUB(self):
     CHI = calcCHI(self.chiMissmount * TORAD)
     PHI = calcPHI(self.phiMissmount * TORAD)
     self.UB = CHI * PHI * self.cut.B
Example #6
0
    def _calc_sample_angles_given_two_sample_and_reference(
            self, samp_constraints, psi, theta, q_phi, n_phi):
        """Available combinations:
        chi, phi, reference
        mu, eta, reference,
        chi=90, mu=0, reference
        """

        N_phi = _calc_N(q_phi, n_phi)
        THETA = z_rotation(-theta)
        PSI = x_rotation(psi)

        if 'chi' in samp_constraints and 'phi' in samp_constraints:

            chi = samp_constraints['chi']
            phi = samp_constraints['phi']

            CHI = calcCHI(chi)
            PHI = calcPHI(phi)
            V = CHI * PHI * N_phi * PSI.T * THETA.T                     # (56)

            xi = atan2(-V[2, 0], V[2, 2])
            eta = atan2(-V[0, 1], V[1, 1])
            mu = atan2(-V[2, 1], sqrt(V[2, 2] ** 2 + V[2, 0] ** 2))

        elif 'mu' in samp_constraints and 'eta' in samp_constraints:

            mu = samp_constraints['mu']
            eta = samp_constraints['eta']

            V = N_phi * PSI.T * THETA.T                                  # (49)

            bot = sqrt(sin(eta) ** 2 * cos(mu) ** 2 + sin(mu) ** 2)
            chi_orig = (asin(-V[2, 1] / bot) -
                   atan2(sin(mu), (sin(eta) * cos(mu))))                 # (52)

            # Choose final chi solution here to obtain compatable xi and mu
            # TODO: This temporary solution works only for one case used on i07
            #       Return a list of possible solutions?
            if is_small(eta) and is_small(mu + pi / 2):
                for chi in _generate_transformed_values(chi_orig):
                    if  pi / 2 <= chi < pi:
                        break
            else:
                chi = chi_orig

            a = sin(chi) * cos(eta)
            b = sin(chi) * sin(eta) * sin(mu) - cos(chi) * cos(mu)
            xi = atan2(V[2, 2] * a + V[2, 0] * b,
                       V[2, 0] * a - V[2, 2] * b)                        # (54)

            a = sin(chi) * sin(mu) - cos(mu) * cos(chi) * sin(eta)
            b = cos(mu) * cos(eta)
            phi = atan2(V[1, 1] * a - V[0, 1] * b,
                        V[0, 1] * a + V[1, 1] * b)                       # (55)
#            if is_small(mu+pi/2) and is_small(eta) and False:
#                phi_general = phi
#                # solved in extensions_to_yous_paper.wxm
#                phi = atan2(V[1, 1], V[0, 1])
#                logger.info("phi = %.3f or %.3f (std)",
#                            phi*TODEG, phi_general*TODEG )

        elif 'chi' in samp_constraints and 'mu' in samp_constraints:
            # derived in extensions_to_yous_paper.wxm
            chi = samp_constraints['chi']
            mu = samp_constraints['mu']

            if not is_small(mu) and not is_small(chi - pi / 2):
                raise Exception('The fixed chi, mu, psi/alpha/beta modes only '
                                ' currently work with chi=90 and mu=0')
            V = N_phi * PSI.T * THETA.T
            eta = asin(-V[2, 1])
            xi = atan2(V[2, 2], V[2, 0])
            phi = -atan2(V[0, 1], V[1, 1])

        else:
            raise DiffcalcException(
                'No code yet to handle this combination of 2 sample '
                'constraints and one reference!:' + str(samp_constraints))
        return xi, psi, mu, eta, chi, phi