///////////////////////////////////////////////////////
//  Pluto SAID parametrization implementation file
//
//  This Class is supplementary to PChannel and
//  contains the SAID parametrization (R. Arndt et al.)
//  of pp elastic scattering differential cross sections.
//  (pi+p not yet implemented)
//
//                             Author:  M.A. Kagarlis
//                             Written:  2.02.99
//                             Revised: 29.01.07  R.H.
//                             Revised: 26.06.07  IF
//  Moved to PDistribution scheme
//
// Ref 1. R. Arndt, private communication (program SAID)
//        (normalized angular distributions, accurate to
//         a fraction of 1% to ~3 GeV/c**s pp inv. mass)
////////////////////////////////////////////////////////

const long double d2r = 3.14159265358979323846/180.;

// model parameters for proton-proton elastic scattering differential cross sections
// SAID solution SP00 0-3.0 GEV PP=37332/21852 NP=18590/11390 RAA (147) 12/ 8/99 12/28/99
const int naz    = 90;
const int nez    = 100;
const double emx = 3.;
const double daz = 0.011111;
const double dez = 0.01;
const double pei = 0.5;
const double pai = 1.;

const double PP[naz*nez]={ // matrix for the interpolation
    2.766e-01, 2.765e-01, 2.764e-01, 2.761e-01, 2.757e-01, 2.751e-01, 
    2.743e-01, 2.734e-01, 2.724e-01, 2.711e-01, 2.697e-01, 2.680e-01, 
    2.662e-01, 2.643e-01, 2.621e-01, 2.598e-01, 2.573e-01, 2.547e-01, 
    2.519e-01, 2.489e-01, 2.458e-01, 2.426e-01, 2.392e-01, 2.356e-01, 
    2.320e-01, 2.282e-01, 2.243e-01, 2.202e-01, 2.161e-01, 2.119e-01, 
    2.076e-01, 2.032e-01, 1.987e-01, 1.941e-01, 1.895e-01, 1.848e-01, 
    1.801e-01, 1.753e-01, 1.705e-01, 1.657e-01, 1.608e-01, 1.560e-01, 
    1.511e-01, 1.462e-01, 1.413e-01, 1.365e-01, 1.316e-01, 1.268e-01, 
    1.220e-01, 1.172e-01, 1.125e-01, 1.078e-01, 1.032e-01, 9.864e-02, 
    9.415e-02, 8.972e-02, 8.537e-02, 8.111e-02, 7.692e-02, 7.283e-02, 
    6.882e-02, 6.492e-02, 6.112e-02, 5.742e-02, 5.384e-02, 5.037e-02, 
    4.701e-02, 4.377e-02, 4.066e-02, 3.767e-02, 3.482e-02, 3.209e-02, 
    2.950e-02, 2.704e-02, 2.472e-02, 2.255e-02, 2.051e-02, 1.862e-02, 
    1.687e-02, 1.527e-02, 1.382e-02, 1.252e-02, 1.137e-02, 1.037e-02, 
    9.528e-03, 8.834e-03, 8.294e-03, 7.908e-03, 7.676e-03, 7.599e-03, 
    6.921e-02, 6.905e-02, 6.877e-02, 6.838e-02, 6.788e-02, 6.726e-02, 
    6.654e-02, 6.572e-02, 6.480e-02, 6.380e-02, 6.272e-02, 6.157e-02, 
    6.036e-02, 5.909e-02, 5.779e-02, 5.646e-02, 5.510e-02, 5.373e-02, 
    5.237e-02, 5.102e-02, 4.969e-02, 4.840e-02, 4.715e-02, 4.597e-02, 
    4.485e-02, 4.382e-02, 4.287e-02, 4.203e-02, 4.130e-02, 4.070e-02, 
    4.022e-02, 3.988e-02, 3.970e-02, 3.967e-02, 3.980e-02, 4.010e-02, 
    4.057e-02, 4.123e-02, 4.206e-02, 4.309e-02, 4.430e-02, 4.570e-02, 
    4.729e-02, 4.908e-02, 5.105e-02, 5.320e-02, 5.554e-02, 5.806e-02, 
    6.075e-02, 6.361e-02, 6.664e-02, 6.982e-02, 7.314e-02, 7.660e-02, 
    8.019e-02, 8.389e-02, 8.771e-02, 9.161e-02, 9.560e-02, 9.966e-02, 
    1.038e-01, 1.079e-01, 1.121e-01, 1.163e-01, 1.205e-01, 1.247e-01, 
    1.288e-01, 1.330e-01, 1.370e-01, 1.410e-01, 1.449e-01, 1.487e-01, 
    1.523e-01, 1.559e-01, 1.593e-01, 1.625e-01, 1.656e-01, 1.685e-01, 
    1.712e-01, 1.737e-01, 1.760e-01, 1.781e-01, 1.800e-01, 1.816e-01, 
    1.830e-01, 1.841e-01, 1.850e-01, 1.856e-01, 1.860e-01, 1.862e-01, 
    3.081e-02, 3.068e-02, 3.046e-02, 3.017e-02, 2.981e-02, 2.939e-02, 
    2.891e-02, 2.838e-02, 2.782e-02, 2.722e-02, 2.661e-02, 2.600e-02, 
    2.539e-02, 2.481e-02, 2.426e-02, 2.376e-02, 2.332e-02, 2.296e-02, 
    2.270e-02, 2.255e-02, 2.253e-02, 2.265e-02, 2.292e-02, 2.337e-02, 
    2.401e-02, 2.485e-02, 2.591e-02, 2.720e-02, 2.874e-02, 3.053e-02, 
    3.259e-02, 3.492e-02, 3.755e-02, 4.047e-02, 4.370e-02, 4.724e-02, 
    5.110e-02, 5.527e-02, 5.977e-02, 6.459e-02, 6.973e-02, 7.520e-02, 
    8.098e-02, 8.708e-02, 9.349e-02, 1.002e-01, 1.072e-01, 1.145e-01, 
    1.220e-01, 1.298e-01, 1.379e-01, 1.461e-01, 1.546e-01, 1.633e-01, 
    1.721e-01, 1.811e-01, 1.902e-01, 1.995e-01, 2.088e-01, 2.182e-01, 
    2.276e-01, 2.370e-01, 2.464e-01, 2.557e-01, 2.650e-01, 2.742e-01, 
    2.832e-01, 2.922e-01, 3.009e-01, 3.094e-01, 3.178e-01, 3.258e-01, 
    3.336e-01, 3.411e-01, 3.482e-01, 3.550e-01, 3.615e-01, 3.675e-01, 
    3.731e-01, 3.783e-01, 3.831e-01, 3.874e-01, 3.912e-01, 3.946e-01, 
    3.974e-01, 3.998e-01, 4.016e-01, 4.029e-01, 4.037e-01, 4.040e-01, 
    1.738e-02, 1.728e-02, 1.713e-02, 1.693e-02, 1.669e-02, 1.640e-02, 
    1.609e-02, 1.576e-02, 1.541e-02, 1.507e-02, 1.474e-02, 1.443e-02, 
    1.416e-02, 1.395e-02, 1.380e-02, 1.374e-02, 1.377e-02, 1.392e-02, 
    1.421e-02, 1.464e-02, 1.524e-02, 1.602e-02, 1.701e-02, 1.821e-02, 
    1.964e-02, 2.132e-02, 2.326e-02, 2.548e-02, 2.800e-02, 3.082e-02, 
    3.395e-02, 3.741e-02, 4.121e-02, 4.536e-02, 4.986e-02, 5.472e-02, 
    5.995e-02, 6.554e-02, 7.150e-02, 7.784e-02, 8.454e-02, 9.160e-02, 
    9.903e-02, 1.068e-01, 1.149e-01, 1.234e-01, 1.322e-01, 1.413e-01, 
    1.507e-01, 1.604e-01, 1.703e-01, 1.805e-01, 1.909e-01, 2.016e-01, 
    2.124e-01, 2.233e-01, 2.344e-01, 2.456e-01, 2.569e-01, 2.682e-01, 
    2.796e-01, 2.909e-01, 3.022e-01, 3.135e-01, 3.246e-01, 3.356e-01, 
    3.464e-01, 3.571e-01, 3.675e-01, 3.777e-01, 3.876e-01, 3.972e-01, 
    4.065e-01, 4.154e-01, 4.239e-01, 4.319e-01, 4.396e-01, 4.468e-01, 
    4.534e-01, 4.596e-01, 4.653e-01, 4.704e-01, 4.749e-01, 4.789e-01, 
    4.822e-01, 4.850e-01, 4.872e-01, 4.887e-01, 4.897e-01, 4.900e-01, 
    1.117e-02, 1.109e-02, 1.098e-02, 1.083e-02, 1.065e-02, 1.045e-02, 
    1.022e-02, 9.994e-03, 9.767e-03, 9.552e-03, 9.363e-03, 9.212e-03, 
    9.112e-03, 9.078e-03, 9.126e-03, 9.269e-03, 9.526e-03, 9.911e-03, 
    1.044e-02, 1.114e-02, 1.201e-02, 1.308e-02, 1.436e-02, 1.588e-02, 
    1.764e-02, 1.966e-02, 2.195e-02, 2.454e-02, 2.744e-02, 3.065e-02, 
    3.419e-02, 3.807e-02, 4.230e-02, 4.689e-02, 5.184e-02, 5.717e-02, 
    6.286e-02, 6.894e-02, 7.539e-02, 8.223e-02, 8.944e-02, 9.702e-02, 
    1.050e-01, 1.133e-01, 1.219e-01, 1.309e-01, 1.403e-01, 1.499e-01, 
    1.599e-01, 1.701e-01, 1.806e-01, 1.913e-01, 2.023e-01, 2.135e-01, 
    2.248e-01, 2.363e-01, 2.480e-01, 2.597e-01, 2.715e-01, 2.833e-01, 
    2.952e-01, 3.070e-01, 3.188e-01, 3.305e-01, 3.421e-01, 3.536e-01, 
    3.649e-01, 3.759e-01, 3.868e-01, 3.974e-01, 4.077e-01, 4.176e-01, 
    4.272e-01, 4.365e-01, 4.453e-01, 4.536e-01, 4.616e-01, 4.690e-01, 
    4.759e-01, 4.823e-01, 4.881e-01, 4.934e-01, 4.981e-01, 5.022e-01, 
    5.057e-01, 5.086e-01, 5.108e-01, 5.124e-01, 5.134e-01, 5.137e-01, 
    7.793e-03, 7.734e-03, 7.643e-03, 7.523e-03, 7.379e-03, 7.217e-03, 
    7.046e-03, 6.874e-03, 6.710e-03, 6.566e-03, 6.452e-03, 6.382e-03, 
    6.369e-03, 6.427e-03, 6.571e-03, 6.816e-03, 7.178e-03, 7.673e-03, 
    8.317e-03, 9.127e-03, 1.012e-02, 1.131e-02, 1.272e-02, 1.436e-02, 
    1.624e-02, 1.839e-02, 2.082e-02, 2.353e-02, 2.655e-02, 2.989e-02, 
    3.355e-02, 3.756e-02, 4.190e-02, 4.661e-02, 5.167e-02, 5.710e-02, 
    6.290e-02, 6.908e-02, 7.562e-02, 8.254e-02, 8.983e-02, 9.748e-02, 
    1.055e-01, 1.139e-01, 1.226e-01, 1.316e-01, 1.410e-01, 1.506e-01, 
    1.606e-01, 1.708e-01, 1.813e-01, 1.921e-01, 2.030e-01, 2.141e-01, 
    2.254e-01, 2.369e-01, 2.485e-01, 2.601e-01, 2.719e-01, 2.836e-01, 
    2.954e-01, 3.071e-01, 3.188e-01, 3.305e-01, 3.420e-01, 3.533e-01, 
    3.645e-01, 3.755e-01, 3.862e-01, 3.967e-01, 4.068e-01, 4.167e-01, 
    4.262e-01, 4.353e-01, 4.440e-01, 4.523e-01, 4.601e-01, 4.674e-01, 
    4.743e-01, 4.806e-01, 4.863e-01, 4.916e-01, 4.962e-01, 5.002e-01, 
    5.037e-01, 5.065e-01, 5.087e-01, 5.103e-01, 5.113e-01, 5.116e-01, 
    5.758e-03, 5.708e-03, 5.630e-03, 5.528e-03, 5.406e-03, 5.270e-03, 
    5.129e-03, 4.990e-03, 4.863e-03, 4.758e-03, 4.686e-03, 4.661e-03, 
    4.695e-03, 4.801e-03, 4.995e-03, 5.291e-03, 5.704e-03, 6.250e-03, 
    6.945e-03, 7.806e-03, 8.847e-03, 1.009e-02, 1.154e-02, 1.322e-02, 
    1.514e-02, 1.732e-02, 1.978e-02, 2.252e-02, 2.555e-02, 2.890e-02, 
    3.257e-02, 3.656e-02, 4.089e-02, 4.557e-02, 5.060e-02, 5.599e-02, 
    6.173e-02, 6.784e-02, 7.430e-02, 8.113e-02, 8.831e-02, 9.584e-02, 
    1.037e-01, 1.119e-01, 1.205e-01, 1.294e-01, 1.385e-01, 1.480e-01, 
    1.578e-01, 1.678e-01, 1.780e-01, 1.885e-01, 1.992e-01, 2.101e-01, 
    2.211e-01, 2.323e-01, 2.435e-01, 2.549e-01, 2.663e-01, 2.778e-01, 
    2.892e-01, 3.006e-01, 3.120e-01, 3.233e-01, 3.345e-01, 3.455e-01, 
    3.564e-01, 3.670e-01, 3.774e-01, 3.876e-01, 3.974e-01, 4.070e-01, 
    4.162e-01, 4.250e-01, 4.335e-01, 4.415e-01, 4.490e-01, 4.562e-01, 
    4.628e-01, 4.689e-01, 4.745e-01, 4.795e-01, 4.840e-01, 4.879e-01, 
    4.912e-01, 4.940e-01, 4.961e-01, 4.977e-01, 4.986e-01, 4.989e-01, 
    4.438e-03, 4.393e-03, 4.324e-03, 4.232e-03, 4.124e-03, 4.004e-03, 
    3.881e-03, 3.762e-03, 3.657e-03, 3.576e-03, 3.529e-03, 3.530e-03, 
    3.590e-03, 3.724e-03, 3.944e-03, 4.267e-03, 4.705e-03, 5.276e-03, 
    5.994e-03, 6.875e-03, 7.934e-03, 9.186e-03, 1.065e-02, 1.233e-02, 
    1.426e-02, 1.643e-02, 1.887e-02, 2.159e-02, 2.460e-02, 2.790e-02, 
    3.152e-02, 3.546e-02, 3.973e-02, 4.432e-02, 4.926e-02, 5.454e-02, 
    6.017e-02, 6.614e-02, 7.246e-02, 7.913e-02, 8.614e-02, 9.349e-02, 
    1.012e-01, 1.092e-01, 1.175e-01, 1.261e-01, 1.350e-01, 1.442e-01, 
    1.537e-01, 1.634e-01, 1.733e-01, 1.835e-01, 1.939e-01, 2.044e-01, 
    2.151e-01, 2.259e-01, 2.368e-01, 2.477e-01, 2.588e-01, 2.698e-01, 
    2.809e-01, 2.919e-01, 3.029e-01, 3.138e-01, 3.245e-01, 3.352e-01, 
    3.456e-01, 3.559e-01, 3.659e-01, 3.757e-01, 3.852e-01, 3.944e-01, 
    4.033e-01, 4.118e-01, 4.199e-01, 4.276e-01, 4.349e-01, 4.417e-01, 
    4.481e-01, 4.540e-01, 4.593e-01, 4.642e-01, 4.685e-01, 4.723e-01, 
    4.755e-01, 4.781e-01, 4.802e-01, 4.816e-01, 4.825e-01, 4.828e-01, 
    3.533e-03, 3.491e-03, 3.427e-03, 3.343e-03, 3.243e-03, 3.135e-03, 
    3.023e-03, 2.918e-03, 2.827e-03, 2.761e-03, 2.730e-03, 2.747e-03, 
    2.824e-03, 2.975e-03, 3.212e-03, 3.550e-03, 4.004e-03, 4.588e-03, 
    5.318e-03, 6.207e-03, 7.273e-03, 8.528e-03, 9.988e-03, 1.167e-02, 
    1.358e-02, 1.574e-02, 1.815e-02, 2.084e-02, 2.381e-02, 2.707e-02, 
    3.063e-02, 3.450e-02, 3.869e-02, 4.320e-02, 4.803e-02, 5.320e-02, 
    5.870e-02, 6.454e-02, 7.071e-02, 7.722e-02, 8.405e-02, 9.121e-02, 
    9.868e-02, 1.065e-01, 1.146e-01, 1.229e-01, 1.316e-01, 1.405e-01, 
    1.497e-01, 1.591e-01, 1.688e-01, 1.786e-01, 1.886e-01, 1.988e-01, 
    2.092e-01, 2.196e-01, 2.302e-01, 2.408e-01, 2.514e-01, 2.621e-01, 
    2.728e-01, 2.835e-01, 2.940e-01, 3.046e-01, 3.149e-01, 3.252e-01, 
    3.353e-01, 3.452e-01, 3.549e-01, 3.643e-01, 3.735e-01, 3.823e-01, 
    3.909e-01, 3.991e-01, 4.069e-01, 4.143e-01, 4.213e-01, 4.279e-01, 
    4.341e-01, 4.397e-01, 4.449e-01, 4.496e-01, 4.537e-01, 4.573e-01, 
    4.604e-01, 4.630e-01, 4.650e-01, 4.664e-01, 4.672e-01, 4.675e-01, 
    2.885e-03, 2.846e-03, 2.786e-03, 2.706e-03, 2.613e-03, 2.511e-03, 
    2.408e-03, 2.311e-03, 2.230e-03, 2.175e-03, 2.155e-03, 2.184e-03, 
    2.273e-03, 2.435e-03, 2.684e-03, 3.033e-03, 3.496e-03, 4.089e-03, 
    4.825e-03, 5.719e-03, 6.786e-03, 8.039e-03, 9.493e-03, 1.116e-02, 
    1.306e-02, 1.520e-02, 1.758e-02, 2.024e-02, 2.316e-02, 2.638e-02, 
    2.988e-02, 3.368e-02, 3.779e-02, 4.222e-02, 4.696e-02, 5.202e-02, 
    5.740e-02, 6.311e-02, 6.913e-02, 7.548e-02, 8.215e-02, 8.913e-02, 
    9.641e-02, 1.040e-01, 1.119e-01, 1.200e-01, 1.284e-01, 1.371e-01, 
    1.460e-01, 1.552e-01, 1.646e-01, 1.741e-01, 1.838e-01, 1.937e-01, 
    2.037e-01, 2.139e-01, 2.241e-01, 2.344e-01, 2.447e-01, 2.550e-01, 
    2.654e-01, 2.757e-01, 2.859e-01, 2.961e-01, 3.061e-01, 3.161e-01, 
    3.258e-01, 3.354e-01, 3.447e-01, 3.538e-01, 3.627e-01, 3.712e-01, 
    3.795e-01, 3.874e-01, 3.950e-01, 4.021e-01, 4.089e-01, 4.153e-01, 
    4.212e-01, 4.266e-01, 4.316e-01, 4.361e-01, 4.401e-01, 4.436e-01, 
    4.466e-01, 4.490e-01, 4.510e-01, 4.523e-01, 4.532e-01, 4.534e-01, 
    2.406e-03, 2.369e-03, 2.311e-03, 2.235e-03, 2.146e-03, 2.049e-03, 
    1.952e-03, 1.863e-03, 1.789e-03, 1.742e-03, 1.732e-03, 1.770e-03, 
    1.869e-03, 2.041e-03, 2.300e-03, 2.659e-03, 3.132e-03, 3.734e-03, 
    4.477e-03, 5.378e-03, 6.448e-03, 7.703e-03, 9.156e-03, 1.082e-02, 
    1.271e-02, 1.483e-02, 1.720e-02, 1.983e-02, 2.273e-02, 2.590e-02, 
    2.936e-02, 3.311e-02, 3.716e-02, 4.152e-02, 4.618e-02, 5.116e-02, 
    5.645e-02, 6.205e-02, 6.796e-02, 7.419e-02, 8.072e-02, 8.756e-02, 
    9.469e-02, 1.021e-01, 1.098e-01, 1.178e-01, 1.260e-01, 1.345e-01, 
    1.432e-01, 1.521e-01, 1.613e-01, 1.706e-01, 1.801e-01, 1.897e-01, 
    1.994e-01, 2.093e-01, 2.193e-01, 2.293e-01, 2.393e-01, 2.494e-01, 
    2.594e-01, 2.695e-01, 2.794e-01, 2.893e-01, 2.991e-01, 3.087e-01, 
    3.182e-01, 3.275e-01, 3.365e-01, 3.454e-01, 3.540e-01, 3.623e-01, 
    3.703e-01, 3.779e-01, 3.853e-01, 3.922e-01, 3.988e-01, 4.049e-01, 
    4.107e-01, 4.159e-01, 4.208e-01, 4.251e-01, 4.290e-01, 4.324e-01, 
    4.353e-01, 4.377e-01, 4.395e-01, 4.408e-01, 4.416e-01, 4.419e-01, 
    2.041e-03, 2.006e-03, 1.950e-03, 1.877e-03, 1.791e-03, 1.699e-03, 
    1.606e-03, 1.522e-03, 1.456e-03, 1.416e-03, 1.414e-03, 1.462e-03, 
    1.571e-03, 1.754e-03, 2.024e-03, 2.395e-03, 2.880e-03, 3.492e-03, 
    4.247e-03, 5.158e-03, 6.238e-03, 7.500e-03, 8.959e-03, 1.063e-02, 
    1.251e-02, 1.463e-02, 1.700e-02, 1.962e-02, 2.250e-02, 2.565e-02, 
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    2.778e-01, 2.746e-01, 2.708e-01, 2.666e-01, 2.620e-01, 2.572e-01, 
    2.523e-01, 2.475e-01, 2.428e-01, 2.383e-01, 2.342e-01, 2.305e-01, 
    2.273e-01, 2.246e-01, 2.225e-01, 2.209e-01, 2.200e-01, 2.197e-01, 
    2.342e-04, 5.062e-04, 1.396e-03, 3.517e-03, 7.653e-03, 1.470e-02, 
    2.561e-02, 4.126e-02, 6.245e-02, 8.974e-02, 1.235e-01, 1.636e-01, 
    2.100e-01, 2.618e-01, 3.183e-01, 3.781e-01, 4.398e-01, 5.019e-01, 
    5.627e-01, 6.207e-01, 6.741e-01, 7.218e-01, 7.626e-01, 7.955e-01, 
    8.201e-01, 8.361e-01, 8.436e-01, 8.429e-01, 8.347e-01, 8.196e-01, 
    7.988e-01, 7.733e-01, 7.440e-01, 7.122e-01, 6.788e-01, 6.447e-01, 
    6.107e-01, 5.775e-01, 5.455e-01, 5.150e-01, 4.864e-01, 4.598e-01, 
    4.351e-01, 4.124e-01, 3.916e-01, 3.726e-01, 3.554e-01, 3.399e-01, 
    3.259e-01, 3.136e-01, 3.028e-01, 2.936e-01, 2.859e-01, 2.797e-01, 
    2.750e-01, 2.717e-01, 2.698e-01, 2.691e-01, 2.696e-01, 2.709e-01, 
    2.729e-01, 2.755e-01, 2.783e-01, 2.812e-01, 2.839e-01, 2.862e-01, 
    2.880e-01, 2.891e-01, 2.894e-01, 2.889e-01, 2.876e-01, 2.854e-01, 
    2.824e-01, 2.787e-01, 2.743e-01, 2.695e-01, 2.643e-01, 2.588e-01, 
    2.532e-01, 2.477e-01, 2.423e-01, 2.371e-01, 2.324e-01, 2.280e-01, 
    2.243e-01, 2.211e-01, 2.186e-01, 2.167e-01, 2.156e-01, 2.153e-01, 
    2.353e-04, 5.172e-04, 1.441e-03, 3.644e-03, 7.943e-03, 1.527e-02, 
    2.661e-02, 4.288e-02, 6.488e-02, 9.321e-02, 1.282e-01, 1.698e-01, 
    2.178e-01, 2.714e-01, 3.297e-01, 3.913e-01, 4.547e-01, 5.184e-01, 
    5.805e-01, 6.395e-01, 6.936e-01, 7.415e-01, 7.821e-01, 8.144e-01, 
    8.380e-01, 8.526e-01, 8.584e-01, 8.558e-01, 8.455e-01, 8.284e-01, 
    8.055e-01, 7.781e-01, 7.473e-01, 7.142e-01, 6.799e-01, 6.453e-01, 
    6.113e-01, 5.785e-01, 5.474e-01, 5.183e-01, 4.913e-01, 4.666e-01, 
    4.440e-01, 4.236e-01, 4.051e-01, 3.884e-01, 3.733e-01, 3.597e-01, 
    3.475e-01, 3.366e-01, 3.270e-01, 3.186e-01, 3.114e-01, 3.054e-01, 
    3.006e-01, 2.970e-01, 2.945e-01, 2.931e-01, 2.926e-01, 2.929e-01, 
    2.939e-01, 2.954e-01, 2.971e-01, 2.990e-01, 3.007e-01, 3.020e-01, 
    3.030e-01, 3.033e-01, 3.029e-01, 3.017e-01, 2.997e-01, 2.968e-01, 
    2.932e-01, 2.889e-01, 2.839e-01, 2.784e-01, 2.725e-01, 2.663e-01, 
    2.600e-01, 2.538e-01, 2.477e-01, 2.419e-01, 2.364e-01, 2.315e-01, 
    2.272e-01, 2.236e-01, 2.207e-01, 2.186e-01, 2.173e-01, 2.168e-01, 
    2.363e-04, 5.279e-04, 1.486e-03, 3.771e-03, 8.234e-03, 1.584e-02, 
    2.761e-02, 4.450e-02, 6.733e-02, 9.671e-02, 1.330e-01, 1.761e-01, 
    2.257e-01, 2.810e-01, 3.411e-01, 4.044e-01, 4.696e-01, 5.348e-01, 
    5.981e-01, 6.580e-01, 7.127e-01, 7.608e-01, 8.010e-01, 8.326e-01, 
    8.551e-01, 8.683e-01, 8.723e-01, 8.678e-01, 8.554e-01, 8.363e-01, 
    8.115e-01, 7.824e-01, 7.501e-01, 7.160e-01, 6.811e-01, 6.465e-01, 
    6.129e-01, 5.811e-01, 5.514e-01, 5.241e-01, 4.994e-01, 4.773e-01, 
    4.575e-01, 4.400e-01, 4.244e-01, 4.106e-01, 3.982e-01, 3.872e-01, 
    3.772e-01, 3.682e-01, 3.601e-01, 3.528e-01, 3.463e-01, 3.407e-01, 
    3.360e-01, 3.321e-01, 3.290e-01, 3.268e-01, 3.254e-01, 3.246e-01, 
    3.244e-01, 3.247e-01, 3.252e-01, 3.258e-01, 3.264e-01, 3.267e-01, 
    3.266e-01, 3.260e-01, 3.247e-01, 3.227e-01, 3.199e-01, 3.163e-01, 
    3.121e-01, 3.071e-01, 3.014e-01, 2.953e-01, 2.888e-01, 2.820e-01, 
    2.751e-01, 2.682e-01, 2.615e-01, 2.551e-01, 2.491e-01, 2.437e-01, 
    2.389e-01, 2.348e-01, 2.316e-01, 2.293e-01, 2.278e-01, 2.274e-01, 
    2.372e-04, 5.381e-04, 1.529e-03, 3.897e-03, 8.524e-03, 1.642e-02, 
    2.862e-02, 4.613e-02, 6.979e-02, 1.002e-01, 1.377e-01, 1.823e-01, 
    2.335e-01, 2.906e-01, 3.524e-01, 4.175e-01, 4.843e-01, 5.509e-01, 
    6.155e-01, 6.762e-01, 7.313e-01, 7.794e-01, 8.193e-01, 8.501e-01, 
    8.713e-01, 8.829e-01, 8.851e-01, 8.786e-01, 8.642e-01, 8.431e-01, 
    8.165e-01, 7.858e-01, 7.523e-01, 7.175e-01, 6.823e-01, 6.480e-01, 
    6.154e-01, 5.850e-01, 5.573e-01, 5.325e-01, 5.107e-01, 4.918e-01, 
    4.755e-01, 4.615e-01, 4.496e-01, 4.393e-01, 4.303e-01, 4.223e-01, 
    4.151e-01, 4.085e-01, 4.023e-01, 3.966e-01, 3.912e-01, 3.862e-01, 
    3.817e-01, 3.777e-01, 3.742e-01, 3.713e-01, 3.689e-01, 3.671e-01, 
    3.657e-01, 3.647e-01, 3.639e-01, 3.633e-01, 3.626e-01, 3.617e-01, 
    3.606e-01, 3.589e-01, 3.568e-01, 3.540e-01, 3.505e-01, 3.463e-01, 
    3.415e-01, 3.359e-01, 3.298e-01, 3.233e-01, 3.163e-01, 3.091e-01, 
    3.018e-01, 2.945e-01, 2.874e-01, 2.807e-01, 2.743e-01, 2.686e-01, 
    2.635e-01, 2.592e-01, 2.558e-01, 2.533e-01, 2.518e-01, 2.513e-01, 
    2.380e-04, 5.478e-04, 1.572e-03, 4.022e-03, 8.814e-03, 1.699e-02, 
    2.963e-02, 4.776e-02, 7.225e-02, 1.037e-01, 1.425e-01, 1.885e-01, 
    2.413e-01, 3.001e-01, 3.637e-01, 4.305e-01, 4.989e-01, 5.668e-01, 
    6.325e-01, 6.939e-01, 7.494e-01, 7.974e-01, 8.368e-01, 8.666e-01, 
    8.866e-01, 8.965e-01, 8.968e-01, 8.883e-01, 8.718e-01, 8.487e-01, 
    8.203e-01, 7.882e-01, 7.537e-01, 7.183e-01, 6.833e-01, 6.497e-01, 
    6.183e-01, 5.898e-01, 5.647e-01, 5.430e-01, 5.247e-01, 5.096e-01, 
    4.974e-01, 4.877e-01, 4.800e-01, 4.739e-01, 4.689e-01, 4.646e-01, 
    4.607e-01, 4.570e-01, 4.533e-01, 4.495e-01, 4.456e-01, 4.417e-01, 
    4.377e-01, 4.338e-01, 4.301e-01, 4.267e-01, 4.235e-01, 4.207e-01, 
    4.182e-01, 4.161e-01, 4.141e-01, 4.123e-01, 4.106e-01, 4.087e-01, 
    4.067e-01, 4.043e-01, 4.015e-01, 3.982e-01, 3.943e-01, 3.898e-01, 
    3.848e-01, 3.791e-01, 3.730e-01, 3.664e-01, 3.595e-01, 3.524e-01, 
    3.452e-01, 3.380e-01, 3.310e-01, 3.243e-01, 3.180e-01, 3.123e-01, 
    3.073e-01, 3.031e-01, 2.997e-01, 2.972e-01, 2.957e-01, 2.952e-01, 
    2.386e-04, 5.569e-04, 1.613e-03, 4.146e-03, 9.103e-03, 1.756e-02, 
    3.064e-02, 4.940e-02, 7.472e-02, 1.073e-01, 1.473e-01, 1.948e-01, 
    2.492e-01, 3.097e-01, 3.750e-01, 4.435e-01, 5.134e-01, 5.827e-01, 
    6.494e-01, 7.115e-01, 7.672e-01, 8.151e-01, 8.538e-01, 8.826e-01, 
    9.011e-01, 9.093e-01, 9.076e-01, 8.969e-01, 8.784e-01, 8.533e-01, 
    8.232e-01, 7.897e-01, 7.543e-01, 7.186e-01, 6.838e-01, 6.511e-01, 
    6.214e-01, 5.953e-01, 5.731e-01, 5.549e-01, 5.406e-01, 5.299e-01, 
    5.223e-01, 5.174e-01, 5.145e-01, 5.131e-01, 5.126e-01, 5.125e-01, 
    5.125e-01, 5.122e-01, 5.114e-01, 5.100e-01, 5.080e-01, 5.055e-01, 
    5.025e-01, 4.991e-01, 4.955e-01, 4.919e-01, 4.883e-01, 4.849e-01, 
    4.817e-01, 4.788e-01, 4.761e-01, 4.736e-01, 4.713e-01, 4.689e-01, 
    4.666e-01, 4.640e-01, 4.612e-01, 4.581e-01, 4.545e-01, 4.505e-01, 
    4.461e-01, 4.412e-01, 4.359e-01, 4.302e-01, 4.242e-01, 4.180e-01, 
    4.117e-01, 4.055e-01, 3.994e-01, 3.935e-01, 3.881e-01, 3.831e-01, 
    3.787e-01, 3.749e-01, 3.719e-01, 3.698e-01, 3.684e-01, 3.680e-01
};

#include "PSaid.h"


PSaid::PSaid() {
    defaults();
};

PSaid::PSaid(const Char_t *id, const Char_t *de) :
    PAngularDistribution(id, de) {
    defaults();
};

PDistribution *PSaid::Clone(const char *) const {
    return new PSaid((const PSaid &)* this);
};


void PSaid::defaults(void) {
    // SAID module constructor

    dim = 90-1;
    y.Set(dim+1);
    aa.Set(dim);
    told = -1.;
}

PSaid::~PSaid() {
    //y.~TArrayD();
    //aa.~TArrayD();
    
    told = -1.;      // to make sure that tables are recalculated for new object
}

Bool_t PSaid::IsNotRejected(void) {
    if (!direct_sampling_done) {
	Warning("IsNotRejected", "Sampling not finished");
    }
    return kTRUE;
};

Bool_t PSaid::Init(void) {
    if (!PAngularDistribution::Init()) return kFALSE;

    if (!beam || !target) {
	Warning("Init", "beam or target not found");
	return kFALSE;
    }

    return kTRUE;
}

Bool_t PSaid::Prepare(void) {
    return kTRUE;
}

double PSaid::SamplePolarAngle(double r) {
    //boost particle 2 such to be in particle 1 rest frame

    PParticle tmp(beam);  //particle under investigation. Make better a copy
    tmp.Boost(-target->BoostVector());
    Double_t tlab = tmp.KE();

    return sample(r, tlab);
}

double PSaid::dsdw(double th, double tlab) {
    // normalized pp elastic differential cross sections (mb/sr)
    // arguments: scattering angle (deg), lab beam kinetic energy (GeV)

    double a     = th/90.;
    double costh = cos(th*d2r); 
    double s2    = 1.-costh*costh;
    double sinth = sqrt(s2);
    double *d    = (double*)PP;
    if (a > 1.) a = 2.-a;
    double ze = pow(tlab/emx,pei);
    double za = pow(a,pai);
    int ie = int(ze/dez);
    int ia = int(za/daz);
    if (ie < 1) 
	ie = 1;
    else if (ie > nez-1) 
	ie = nez-1;
    if (ia < 1) 
	ia = 1;
    else if (ia > naz-1) 
	ia = naz-1;
    int iam = ia-1;
    int iem = ie-1;
    double d0 = d[iam+iem*naz];
    a = (d[ia+iem*naz]-d0)/daz;
    double b  = (d[iam+ie*naz]-d0)/dez;
    double ab = (d[ia+ie*naz]-a*daz-b*dez-d0)/(daz*dez);
    ze -= dez*ie;
    za -= daz*ia;
    return sinth*(d0+a*za+b*ze+ab*za*ze)/(s2*s2*tlab);
}

double PSaid::sample(double r, double tlab) {
    const double fac=1.1;
    int i, j;
    // _____________________________________________________________________
    // enter whenever beam energy changes, to calculate integrals and slopes
    if (told != tlab) {
	told = tlab;
	double sum = 0.;
	for (i=0; i<=dim; ++i) 
	    y[i] = fac*dsdw((double)(i+1),tlab);
	for (i=0; i<dim; ++i) {
	    sum += (y[i+1]>y[i]) ? y[i+1] : y[i] ;
	    aa[i] = sum;
	}
    }
  
    // _____________________________________________________________________
    // sample cm scattering angle with the rejection method
    double rr, f, tf, r2, c0, r1=r;
 repeat:
    i  = (r1>.5);
    rr = (2.*r1-i)*aa[dim-1];
    for (j=0; j<dim; ++j) {
	if (rr < aa[j]) break;
    }
    if (j) 
	rr -= aa[j-1];
    tf = (y[j+1]>y[j]) ? y[j+1]: y[j];
    c0 = rr/tf+1.+j;
    f  = dsdw(c0,tlab);
    r2 = PUtils::sampleFlat();
    if (r2 > f/tf) goto fail;
    if (f <= tf) return (1-2*i)*cos(c0*d2r);

    Warning("sample", "Sampling failed");
    return -99999.;
 fail:

    r1 = PUtils::sampleFlat();
    goto repeat;
}


ClassImp(PSaid)