#define wood_N 6
#define wood_P 4
static double wood_x0[wood_P] = { -3.0, -1.0, -3.0, -1.0 };
static double wood_epsrel = 1.0e-12;
static void
wood_checksol(const double x[], const double sumsq,
const double epsrel, const char *sname,
const char *pname)
{
size_t i;
const double sumsq_exact = 0.0;
const double wood_x[wood_P] = { 1.0, 1.0, 1.0, 1.0 };
gsl_test_rel(sumsq, sumsq_exact, epsrel, "%s/%s sumsq",
sname, pname);
for (i = 0; i < wood_P; ++i)
{
gsl_test_rel(x[i], wood_x[i], epsrel, "%s/%s i=%zu",
sname, pname, i);
}
}
static int
wood_f (const gsl_vector * x, void *params, gsl_vector * f)
{
double x1 = gsl_vector_get(x, 0);
double x2 = gsl_vector_get(x, 1);
double x3 = gsl_vector_get(x, 2);
double x4 = gsl_vector_get(x, 3);
gsl_vector_set(f, 0, 10.0*(x2 - x1*x1));
gsl_vector_set(f, 1, 1.0 - x1);
gsl_vector_set(f, 2, sqrt(90.0)*(x4 - x3*x3));
gsl_vector_set(f, 3, 1.0 - x3);
gsl_vector_set(f, 4, sqrt(10.0)*(x2 + x4 - 2.0));
gsl_vector_set(f, 5, (x2 - x4) / sqrt(10.0));
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static int
wood_df (const gsl_vector * x, void *params, gsl_matrix * J)
{
double x1 = gsl_vector_get(x, 0);
double x3 = gsl_vector_get(x, 2);
double s90 = sqrt(90.0);
double s10 = sqrt(10.0);
gsl_matrix_set_zero(J);
gsl_matrix_set(J, 0, 0, -20.0*x1);
gsl_matrix_set(J, 0, 1, 10.0);
gsl_matrix_set(J, 1, 0, -1.0);
gsl_matrix_set(J, 2, 2, -2.0*s90*x3);
gsl_matrix_set(J, 2, 3, s90);
gsl_matrix_set(J, 3, 2, -1.0);
gsl_matrix_set(J, 4, 1, s10);
gsl_matrix_set(J, 4, 3, s10);
gsl_matrix_set(J, 5, 1, 1.0/s10);
gsl_matrix_set(J, 5, 3, -1.0/s10);
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static int
wood_fvv (const gsl_vector * x, const gsl_vector * v,
void *params, gsl_vector * fvv)
{
const double s10 = sqrt(10.0);
double v1 = gsl_vector_get(v, 0);
double v3 = gsl_vector_get(v, 2);
gsl_vector_set(fvv, 0, -20.0 * v1 * v1);
gsl_vector_set(fvv, 1, 0.0);
gsl_vector_set(fvv, 2, -6.0 * s10 * v3 * v3);
gsl_vector_set(fvv, 3, 0.0);
gsl_vector_set(fvv, 4, 0.0);
gsl_vector_set(fvv, 5, 0.0);
(void)x; /* avoid unused parameter warning */
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static gsl_multifit_nlinear_fdf wood_func =
{
wood_f,
wood_df,
wood_fvv,
wood_N,
wood_P,
NULL,
0,
0,
0
};
static test_fdf_problem wood_problem =
{
"wood",
wood_x0,
NULL,
NULL,
&wood_epsrel,
&wood_checksol,
&wood_func
};