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#define lin1_N 11 /* can be anything >= p */
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#define lin1_P 5
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static double lin1_x0[lin1_P] = { 1.0, 1.0, 1.0, 1.0, 1.0 };
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static double lin1_epsrel = 1.0e-10;
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static void
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lin1_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 = (double) (lin1_N - lin1_P);
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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 < lin1_P; ++i)
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{
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gsl_test_rel(x[i], -1.0, 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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lin1_f (const gsl_vector * x, void *params, gsl_vector * f)
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{
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size_t i, j;
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for (i = 0; i < lin1_N; ++i)
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{
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double fi = 0.0;
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for (j = 0; j < lin1_P; ++j)
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{
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double xj = gsl_vector_get(x, j);
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double Aij = (i == j) ? 1.0 : 0.0;
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Aij -= 2.0 / lin1_N;
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fi += Aij * xj;
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}
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fi -= 1.0;
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gsl_vector_set(f, i, fi);
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}
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(void)params; /* avoid unused parameter warning */
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return GSL_SUCCESS;
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}
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static int
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lin1_df (const gsl_vector * x, void *params, gsl_matrix * J)
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{
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size_t i, j;
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for (i = 0; i < lin1_N; ++i)
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{
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for (j = 0; j < lin1_P; ++j)
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{
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double Jij = (i == j) ? 1.0 : 0.0;
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Jij -= 2.0 / lin1_N;
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gsl_matrix_set(J, i, j, Jij);
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}
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}
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(void)x; /* avoid unused parameter warning */
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(void)params; /* avoid unused parameter warning */
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return GSL_SUCCESS;
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}
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static int
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lin1_fvv (const gsl_vector * x, const gsl_vector * v,
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void *params, gsl_vector * fvv)
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{
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(void)x; /* avoid unused parameter warnings */
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(void)v;
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(void)params;
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gsl_vector_set_zero(fvv);
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return GSL_SUCCESS;
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}
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static gsl_multifit_nlinear_fdf lin1_func =
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{
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lin1_f,
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lin1_df,
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lin1_fvv,
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lin1_N,
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lin1_P,
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NULL,
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0,
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0,
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0
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};
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static test_fdf_problem lin1_problem =
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{
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"linear_full",
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lin1_x0,
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NULL,
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NULL,
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&lin1_epsrel,
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&lin1_checksol,
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&lin1_func
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};
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