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#define boxbod_N 6
#define boxbod_P 2
static double boxbod_x0a[boxbod_P] = { 1.0, 1.0 };
static double boxbod_x0b[boxbod_P] = { 100.0, 0.75 };
static double boxbod_epsrel = 1.0e-7;
static double boxbod_J[boxbod_N * boxbod_P];
static double boxbod_sigma[boxbod_P] = {
1.2354515176E+01, 1.0455993237E-01
};
static double boxbod_X[boxbod_N] = { 1.0, 2.0, 3.0, 5.0, 7.0, 10.0 };
static double boxbod_F[boxbod_N] = { 109.0, 149.0, 149.0, 191.0,
213.0, 224.0 };
static void
boxbod_checksol(const double x[], const double sumsq,
const double epsrel, const char *sname,
const char *pname)
{
size_t i;
const double sumsq_exact = 1.1680088766E+03;
const double boxbod_x[boxbod_P] = { 2.1380940889E+02,
5.4723748542E-01 };
gsl_test_rel(sumsq, sumsq_exact, epsrel, "%s/%s sumsq",
sname, pname);
for (i = 0; i < boxbod_P; ++i)
{
gsl_test_rel(x[i], boxbod_x[i], epsrel, "%s/%s i=%zu",
sname, pname, i);
}
}
static int
boxbod_f (const gsl_vector * x, void *params, gsl_vector * f)
{
double b[boxbod_P];
size_t i;
for (i = 0; i < boxbod_P; i++)
{
b[i] = gsl_vector_get(x, i);
}
for (i = 0; i < boxbod_N; i++)
{
double xi = boxbod_X[i];
double yi;
yi = b[0] * (1.0 - exp(-b[1] * xi));
gsl_vector_set (f, i, yi - boxbod_F[i]);
}
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static int
boxbod_df (CBLAS_TRANSPOSE_t TransJ, const gsl_vector * x,
const gsl_vector * u, void * params, gsl_vector * v,
gsl_matrix * JTJ)
{
gsl_matrix_view J = gsl_matrix_view_array(boxbod_J, boxbod_N, boxbod_P);
double b[boxbod_P];
size_t i;
for (i = 0; i < boxbod_P; i++)
{
b[i] = gsl_vector_get(x, i);
}
for (i = 0; i < boxbod_N; i++)
{
double xi = boxbod_X[i];
double term = exp(-b[1] * xi);
gsl_matrix_set (&J.matrix, i, 0, 1.0 - term);
gsl_matrix_set (&J.matrix, i, 1, b[0] * term * xi);
}
if (v)
gsl_blas_dgemv(TransJ, 1.0, &J.matrix, u, 0.0, v);
if (JTJ)
gsl_blas_dsyrk(CblasLower, CblasTrans, 1.0, &J.matrix, 0.0, JTJ);
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static int
boxbod_fvv (const gsl_vector * x, const gsl_vector * v,
void *params, gsl_vector * fvv)
{
double x1 = gsl_vector_get(x, 0);
double x2 = gsl_vector_get(x, 1);
double v1 = gsl_vector_get(v, 0);
double v2 = gsl_vector_get(v, 1);
size_t i;
for (i = 0; i < boxbod_N; i++)
{
double ti = boxbod_X[i];
double term = exp(-x2 * ti);
gsl_vector_set(fvv, i, term * ti * v2 * (2*v1 - ti*v2*x1));
}
(void)params; /* avoid unused parameter warning */
return GSL_SUCCESS;
}
static gsl_multilarge_nlinear_fdf boxbod_func =
{
boxbod_f,
boxbod_df,
boxbod_fvv,
boxbod_N,
boxbod_P,
NULL,
0,
0,
0,
0
};
static test_fdf_problem boxboda_problem =
{
"nist-boxboda",
boxbod_x0a,
boxbod_sigma,
&boxbod_epsrel,
&boxbod_checksol,
&boxbod_func
};
static test_fdf_problem boxbodb_problem =
{
"nist-boxbodb",
boxbod_x0b,
boxbod_sigma,
&boxbod_epsrel,
&boxbod_checksol,
&boxbod_func
};
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