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#define meyer_N 16
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#define meyer_P 3
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#define meyer_NTRIES 1
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static double meyer_x0[meyer_P] = { 0.02, 4000.0, 250.0 };
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static double meyer_epsrel = 1.0e-8;
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static double meyer_Y[meyer_N] = {
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34780., 28610., 23650., 19630., 16370., 13720., 11540.,
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9744., 8261., 7030., 6005., 5147., 4427., 3820.,
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3307., 2872.
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};
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static void
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meyer_checksol(const double x[], const double sumsq,
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const double epsrel, const char *sname,
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const char *pname)
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{
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size_t i;
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const double sumsq_exact = 8.794585517053883e+01;
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const double meyer_x[meyer_P] = { 5.609636471049458e-03,
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6.181346346283188e+03,
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3.452236346240292e+02 };
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gsl_test_rel(sumsq, sumsq_exact, epsrel, "%s/%s sumsq",
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sname, pname);
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for (i = 0; i < meyer_P; ++i)
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{
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gsl_test_rel(x[i], meyer_x[i], epsrel, "%s/%s i=%zu",
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sname, pname, i);
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}
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}
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static int
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meyer_f (const gsl_vector * x, void *params, gsl_vector * f)
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{
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double x1 = gsl_vector_get(x, 0);
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double x2 = gsl_vector_get(x, 1);
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double x3 = gsl_vector_get(x, 2);
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size_t i;
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for (i = 0; i < meyer_N; ++i)
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{
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double ti = 45.0 + 5.0*(i + 1.0);
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double yi = meyer_Y[i];
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double fi = x1 * exp(x2 / (ti + x3)) - yi;
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gsl_vector_set(f, i, fi);
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}
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return GSL_SUCCESS;
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}
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static int
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meyer_df (const gsl_vector * x, void *params, gsl_matrix * J)
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{
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double x1 = gsl_vector_get(x, 0);
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double x2 = gsl_vector_get(x, 1);
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double x3 = gsl_vector_get(x, 2);
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size_t i;
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for (i = 0; i < meyer_N; ++i)
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{
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double ti = 45.0 + 5.0*(i + 1.0);
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double term1 = ti + x3;
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double term2 = exp(x2 / term1);
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gsl_matrix_set(J, i, 0, term2);
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gsl_matrix_set(J, i, 1, x1*term2/term1);
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gsl_matrix_set(J, i, 2, -x1*x2*term2/(term1*term1));
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}
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return GSL_SUCCESS;
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}
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static gsl_multifit_function_fdf meyer_func =
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{
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&meyer_f,
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&meyer_df,
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NULL,
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meyer_N,
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meyer_P,
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NULL,
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0,
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0
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};
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static test_fdf_problem meyer_problem =
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{
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"meyer",
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meyer_x0,
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NULL,
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&meyer_epsrel,
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meyer_NTRIES,
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&meyer_checksol,
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&meyer_func
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};
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