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#define box_N 10 /* can be >= p */
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#define box_P 3
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#define box_NTRIES 1
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static double box_x0[box_P] = { 0.0, 10.0, 20.0 };
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static double box_epsrel = 1.0e-12;
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static void
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box_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 = 0.0;
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const double box_x[box_P] = { 1.0, 10.0, 1.0 };
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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 < box_P; ++i)
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{
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gsl_test_rel(x[i], box_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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box_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 < box_N; ++i)
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{
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double ti = (i + 1.0) / 10.0;
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double fi = exp(-x1*ti) - exp(-x2*ti) - x3*(exp(-ti) - exp(-10.0*ti));
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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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box_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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size_t i;
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for (i = 0; i < box_N; ++i)
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{
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double ti = (i + 1.0) / 10.0;
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double term1 = exp(-x1*ti);
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double term2 = exp(-x2*ti);
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double term3 = exp(-10.0*ti) - exp(-ti);
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gsl_matrix_set(J, i, 0, -ti*term1);
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gsl_matrix_set(J, i, 1, ti*term2);
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gsl_matrix_set(J, i, 2, term3);
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}
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return GSL_SUCCESS;
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}
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static gsl_multifit_function_fdf box_func =
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{
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&box_f,
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&box_df,
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NULL,
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box_N,
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box_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 box_problem =
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{
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"box3d",
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box_x0,
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NULL,
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&box_epsrel,
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box_NTRIES,
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&box_checksol,
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&box_func
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};
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