| const size_t hahn1_N = 236; |
| const size_t hahn1_P = 7; |
| |
| /* double hahn1_x0[7] = { 10, -1, 0.05, -0.00001, -0.05, 0.001, -0.000001 }; */ |
| |
| double hahn1_x0[7] = { 1, -0.1, 0.005, -0.000001, -0.005, 0.0001, -0.0000001}; |
| |
| double hahn1_x[7] = { |
| 1.0776351733E+00, |
| -1.2269296921E-01, |
| 4.0863750610E-03, |
| -1.4262662514E-06, |
| -5.7609940901E-03, |
| 2.4053735503E-04, |
| -1.2314450199E-07 |
| }; |
| |
| double hahn1_sumsq = 1.5324382854E+00; |
| |
| double hahn1_sigma[7] = { |
| 1.7070154742E-01, |
| 1.2000289189E-02, |
| 2.2508314937E-04, |
| 2.7578037666E-07, |
| 2.4712888219E-04, |
| 1.0449373768E-05, |
| 1.3027335327E-08 |
| }; |
| |
| double hahn1_F1[236] = { |
| .591E0, |
| 1.547E0, |
| 2.902E0, |
| 2.894E0, |
| 4.703E0, |
| 6.307E0, |
| 7.03E0 , |
| 7.898E0, |
| 9.470E0, |
| 9.484E0, |
| 10.072E0, |
| 10.163E0, |
| 11.615E0, |
| 12.005E0, |
| 12.478E0, |
| 12.982E0, |
| 12.970E0, |
| 13.926E0, |
| 14.452E0, |
| 14.404E0, |
| 15.190E0, |
| 15.550E0, |
| 15.528E0, |
| 15.499E0, |
| 16.131E0, |
| 16.438E0, |
| 16.387E0, |
| 16.549E0, |
| 16.872E0, |
| 16.830E0, |
| 16.926E0, |
| 16.907E0, |
| 16.966E0, |
| 17.060E0, |
| 17.122E0, |
| 17.311E0, |
| 17.355E0, |
| 17.668E0, |
| 17.767E0, |
| 17.803E0, |
| 17.765E0, |
| 17.768E0, |
| 17.736E0, |
| 17.858E0, |
| 17.877E0, |
| 17.912E0, |
| 18.046E0, |
| 18.085E0, |
| 18.291E0, |
| 18.357E0, |
| 18.426E0, |
| 18.584E0, |
| 18.610E0, |
| 18.870E0, |
| 18.795E0, |
| 19.111E0, |
| .367E0, |
| .796E0, |
| 0.892E0, |
| 1.903E0, |
| 2.150E0, |
| 3.697E0, |
| 5.870E0, |
| 6.421E0, |
| 7.422E0, |
| 9.944E0, |
| 11.023E0, |
| 11.87E0 , |
| 12.786E0, |
| 14.067E0, |
| 13.974E0, |
| 14.462E0, |
| 14.464E0, |
| 15.381E0, |
| 15.483E0, |
| 15.59E0 , |
| 16.075E0, |
| 16.347E0, |
| 16.181E0, |
| 16.915E0, |
| 17.003E0, |
| 16.978E0, |
| 17.756E0, |
| 17.808E0, |
| 17.868E0, |
| 18.481E0, |
| 18.486E0, |
| 19.090E0, |
| 16.062E0, |
| 16.337E0, |
| 16.345E0, |
| 16.388E0, |
| 17.159E0, |
| 17.116E0, |
| 17.164E0, |
| 17.123E0, |
| 17.979E0, |
| 17.974E0, |
| 18.007E0, |
| 17.993E0, |
| 18.523E0, |
| 18.669E0, |
| 18.617E0, |
| 19.371E0, |
| 19.330E0, |
| 0.080E0, |
| 0.248E0, |
| 1.089E0, |
| 1.418E0, |
| 2.278E0, |
| 3.624E0, |
| 4.574E0, |
| 5.556E0, |
| 7.267E0, |
| 7.695E0, |
| 9.136E0, |
| 9.959E0, |
| 9.957E0, |
| 11.600E0, |
| 13.138E0, |
| 13.564E0, |
| 13.871E0, |
| 13.994E0, |
| 14.947E0, |
| 15.473E0, |
| 15.379E0, |
| 15.455E0, |
| 15.908E0, |
| 16.114E0, |
| 17.071E0, |
| 17.135E0, |
| 17.282E0, |
| 17.368E0, |
| 17.483E0, |
| 17.764E0, |
| 18.185E0, |
| 18.271E0, |
| 18.236E0, |
| 18.237E0, |
| 18.523E0, |
| 18.627E0, |
| 18.665E0, |
| 19.086E0, |
| 0.214E0, |
| 0.943E0, |
| 1.429E0, |
| 2.241E0, |
| 2.951E0, |
| 3.782E0, |
| 4.757E0, |
| 5.602E0, |
| 7.169E0, |
| 8.920E0, |
| 10.055E0, |
| 12.035E0, |
| 12.861E0, |
| 13.436E0, |
| 14.167E0, |
| 14.755E0, |
| 15.168E0, |
| 15.651E0, |
| 15.746E0, |
| 16.216E0, |
| 16.445E0, |
| 16.965E0, |
| 17.121E0, |
| 17.206E0, |
| 17.250E0, |
| 17.339E0, |
| 17.793E0, |
| 18.123E0, |
| 18.49E0 , |
| 18.566E0, |
| 18.645E0, |
| 18.706E0, |
| 18.924E0, |
| 19.1E0 , |
| 0.375E0, |
| 0.471E0, |
| 1.504E0, |
| 2.204E0, |
| 2.813E0, |
| 4.765E0, |
| 9.835E0, |
| 10.040E0, |
| 11.946E0, |
| 12.596E0, |
| 13.303E0, |
| 13.922E0, |
| 14.440E0, |
| 14.951E0, |
| 15.627E0, |
| 15.639E0, |
| 15.814E0, |
| 16.315E0, |
| 16.334E0, |
| 16.430E0, |
| 16.423E0, |
| 17.024E0, |
| 17.009E0, |
| 17.165E0, |
| 17.134E0, |
| 17.349E0, |
| 17.576E0, |
| 17.848E0, |
| 18.090E0, |
| 18.276E0, |
| 18.404E0, |
| 18.519E0, |
| 19.133E0, |
| 19.074E0, |
| 19.239E0, |
| 19.280E0, |
| 19.101E0, |
| 19.398E0, |
| 19.252E0, |
| 19.89E0 , |
| 20.007E0, |
| 19.929E0, |
| 19.268E0, |
| 19.324E0, |
| 20.049E0, |
| 20.107E0, |
| 20.062E0, |
| 20.065E0, |
| 19.286E0, |
| 19.972E0, |
| 20.088E0, |
| 20.743E0, |
| 20.83E0 , |
| 20.935E0, |
| 21.035E0, |
| 20.93E0 , |
| 21.074E0, |
| 21.085E0, |
| 20.935E0 |
| }; |
| |
| |
| double hahn1_F0[236] = { |
| 24.41E0, |
| 34.82E0, |
| 44.09E0, |
| 45.07E0, |
| 54.98E0, |
| 65.51E0, |
| 70.53E0, |
| 75.70E0, |
| 89.57E0, |
| 91.14E0, |
| 96.40E0, |
| 97.19E0, |
| 114.26E0, |
| 120.25E0, |
| 127.08E0, |
| 133.55E0, |
| 133.61E0, |
| 158.67E0, |
| 172.74E0, |
| 171.31E0, |
| 202.14E0, |
| 220.55E0, |
| 221.05E0, |
| 221.39E0, |
| 250.99E0, |
| 268.99E0, |
| 271.80E0, |
| 271.97E0, |
| 321.31E0, |
| 321.69E0, |
| 330.14E0, |
| 333.03E0, |
| 333.47E0, |
| 340.77E0, |
| 345.65E0, |
| 373.11E0, |
| 373.79E0, |
| 411.82E0, |
| 419.51E0, |
| 421.59E0, |
| 422.02E0, |
| 422.47E0, |
| 422.61E0, |
| 441.75E0, |
| 447.41E0, |
| 448.7E0 , |
| 472.89E0, |
| 476.69E0, |
| 522.47E0, |
| 522.62E0, |
| 524.43E0, |
| 546.75E0, |
| 549.53E0, |
| 575.29E0, |
| 576.00E0, |
| 625.55E0, |
| 20.15E0, |
| 28.78E0, |
| 29.57E0, |
| 37.41E0, |
| 39.12E0, |
| 50.24E0, |
| 61.38E0, |
| 66.25E0, |
| 73.42E0, |
| 95.52E0, |
| 107.32E0, |
| 122.04E0, |
| 134.03E0, |
| 163.19E0, |
| 163.48E0, |
| 175.70E0, |
| 179.86E0, |
| 211.27E0, |
| 217.78E0, |
| 219.14E0, |
| 262.52E0, |
| 268.01E0, |
| 268.62E0, |
| 336.25E0, |
| 337.23E0, |
| 339.33E0, |
| 427.38E0, |
| 428.58E0, |
| 432.68E0, |
| 528.99E0, |
| 531.08E0, |
| 628.34E0, |
| 253.24E0, |
| 273.13E0, |
| 273.66E0, |
| 282.10E0, |
| 346.62E0, |
| 347.19E0, |
| 348.78E0, |
| 351.18E0, |
| 450.10E0, |
| 450.35E0, |
| 451.92E0, |
| 455.56E0, |
| 552.22E0, |
| 553.56E0, |
| 555.74E0, |
| 652.59E0, |
| 656.20E0, |
| 14.13E0, |
| 20.41E0, |
| 31.30E0, |
| 33.84E0, |
| 39.70E0, |
| 48.83E0, |
| 54.50E0, |
| 60.41E0, |
| 72.77E0, |
| 75.25E0, |
| 86.84E0, |
| 94.88E0, |
| 96.40E0, |
| 117.37E0, |
| 139.08E0, |
| 147.73E0, |
| 158.63E0, |
| 161.84E0, |
| 192.11E0, |
| 206.76E0, |
| 209.07E0, |
| 213.32E0, |
| 226.44E0, |
| 237.12E0, |
| 330.90E0, |
| 358.72E0, |
| 370.77E0, |
| 372.72E0, |
| 396.24E0, |
| 416.59E0, |
| 484.02E0, |
| 495.47E0, |
| 514.78E0, |
| 515.65E0, |
| 519.47E0, |
| 544.47E0, |
| 560.11E0, |
| 620.77E0, |
| 18.97E0, |
| 28.93E0, |
| 33.91E0, |
| 40.03E0, |
| 44.66E0, |
| 49.87E0, |
| 55.16E0, |
| 60.90E0, |
| 72.08E0, |
| 85.15E0, |
| 97.06E0, |
| 119.63E0, |
| 133.27E0, |
| 143.84E0, |
| 161.91E0, |
| 180.67E0, |
| 198.44E0, |
| 226.86E0, |
| 229.65E0, |
| 258.27E0, |
| 273.77E0, |
| 339.15E0, |
| 350.13E0, |
| 362.75E0, |
| 371.03E0, |
| 393.32E0, |
| 448.53E0, |
| 473.78E0, |
| 511.12E0, |
| 524.70E0, |
| 548.75E0, |
| 551.64E0, |
| 574.02E0, |
| 623.86E0, |
| 21.46E0, |
| 24.33E0, |
| 33.43E0, |
| 39.22E0, |
| 44.18E0, |
| 55.02E0, |
| 94.33E0, |
| 96.44E0, |
| 118.82E0, |
| 128.48E0, |
| 141.94E0, |
| 156.92E0, |
| 171.65E0, |
| 190.00E0, |
| 223.26E0, |
| 223.88E0, |
| 231.50E0, |
| 265.05E0, |
| 269.44E0, |
| 271.78E0, |
| 273.46E0, |
| 334.61E0, |
| 339.79E0, |
| 349.52E0, |
| 358.18E0, |
| 377.98E0, |
| 394.77E0, |
| 429.66E0, |
| 468.22E0, |
| 487.27E0, |
| 519.54E0, |
| 523.03E0, |
| 612.99E0, |
| 638.59E0, |
| 641.36E0, |
| 622.05E0, |
| 631.50E0, |
| 663.97E0, |
| 646.9E0 , |
| 748.29E0, |
| 749.21E0, |
| 750.14E0, |
| 647.04E0, |
| 646.89E0, |
| 746.9E0 , |
| 748.43E0, |
| 747.35E0, |
| 749.27E0, |
| 647.61E0, |
| 747.78E0, |
| 750.51E0, |
| 851.37E0, |
| 845.97E0, |
| 847.54E0, |
| 849.93E0, |
| 851.61E0, |
| 849.75E0, |
| 850.98E0, |
| 848.23E0 |
| }; |
| |
| |
| int |
| hahn1_f (const gsl_vector * x, void *params, gsl_vector * f) |
| { |
| double b[7]; |
| size_t i; |
| |
| for (i = 0; i < 7; i++) |
| { |
| b[i] = gsl_vector_get(x, i); |
| } |
| |
| for (i = 0; i < 236; i++) |
| { |
| double x = hahn1_F0[i]; |
| double y = ((b[0] + x* (b[1] + x * (b[2] + x * b[3]))) |
| / (1 + x*(b[4] + x *(b[5] + x*b[6])))); |
| gsl_vector_set (f, i, hahn1_F1[i] - y); |
| } |
| |
| return GSL_SUCCESS; |
| } |
| |
| int |
| hahn1_df (const gsl_vector * x, void *params, gsl_matrix * df) |
| { |
| double b[7]; |
| size_t i; |
| |
| for (i = 0; i < 7; i++) |
| { |
| b[i] = gsl_vector_get(x, i); |
| } |
| |
| for (i = 0; i < 236; i++) |
| { |
| double x = hahn1_F0[i]; |
| double u = (b[0] + x*(b[1] + x*(b[2] + x * b[3]))); |
| double v = (1 + x*(b[4] + x*(b[5] + x*b[6]))); |
| gsl_matrix_set (df, i, 0, -1/v); |
| gsl_matrix_set (df, i, 1, -x/v); |
| gsl_matrix_set (df, i, 2, -x*x/v); |
| gsl_matrix_set (df, i, 3, -x*x*x/v); |
| gsl_matrix_set (df, i, 4, x*u/(v*v)); |
| gsl_matrix_set (df, i, 5, x*x*u/(v*v)); |
| gsl_matrix_set (df, i, 6, x*x*x*u/(v*v)); |
| } |
| |
| return GSL_SUCCESS; |
| } |
| |
| int |
| hahn1_fdf (const gsl_vector * x, void *params, |
| gsl_vector * f, gsl_matrix * df) |
| { |
| hahn1_f (x, params, f); |
| hahn1_df (x, params, df); |
| |
| return GSL_SUCCESS; |
| } |
