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#define wood_N 6
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#define wood_P 4
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#define wood_NTRIES 3
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static double wood_x0[wood_P] = { -3.0, -1.0, -3.0, -1.0 };
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static double wood_epsrel = 1.0e-12;
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static void
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wood_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 wood_x[wood_P] = { 1.0, 1.0, 1.0, 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 < wood_P; ++i)
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{
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gsl_test_rel(x[i], wood_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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wood_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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double x4 = gsl_vector_get(x, 3);
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gsl_vector_set(f, 0, 10.0*(x2 - x1*x1));
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gsl_vector_set(f, 1, 1.0 - x1);
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gsl_vector_set(f, 2, sqrt(90.0)*(x4 - x3*x3));
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gsl_vector_set(f, 3, 1.0 - x3);
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gsl_vector_set(f, 4, sqrt(10.0)*(x2 + x4 - 2.0));
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gsl_vector_set(f, 5, (x2 - x4) / sqrt(10.0));
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return GSL_SUCCESS;
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}
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static int
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wood_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 x3 = gsl_vector_get(x, 2);
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double s90 = sqrt(90.0);
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double s10 = sqrt(10.0);
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gsl_matrix_set_zero(J);
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gsl_matrix_set(J, 0, 0, -20.0*x1);
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gsl_matrix_set(J, 0, 1, 10.0);
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gsl_matrix_set(J, 1, 0, -1.0);
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gsl_matrix_set(J, 2, 2, -2.0*s90*x3);
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gsl_matrix_set(J, 2, 3, s90);
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gsl_matrix_set(J, 3, 2, -1.0);
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gsl_matrix_set(J, 4, 1, s10);
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gsl_matrix_set(J, 4, 3, s10);
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gsl_matrix_set(J, 5, 1, 1.0/s10);
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gsl_matrix_set(J, 5, 3, -1.0/s10);
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return GSL_SUCCESS;
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}
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static gsl_multifit_function_fdf wood_func =
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{
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&wood_f,
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&wood_df,
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NULL,
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wood_N,
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wood_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 wood_problem =
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{
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"wood",
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wood_x0,
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NULL,
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&wood_epsrel,
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wood_NTRIES,
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&wood_checksol,
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&wood_func
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};
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