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#define brown3_N 3
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#define brown3_P 2
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static double brown3_x0[brown3_P] = { 1.0, 1.0 };
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static double brown3_epsrel = 1.0e-12;
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static void
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brown3_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 brown3_x[brown3_P] = { 1.0e6, 2.0e-6 };
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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 < brown3_P; ++i)
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{
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gsl_test_rel(x[i], brown3_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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brown3_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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gsl_vector_set(f, 0, x1 - 1.0e6);
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gsl_vector_set(f, 1, x2 - 2.0e-6);
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gsl_vector_set(f, 2, x1*x2 - 2.0);
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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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brown3_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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gsl_matrix_set_zero(J);
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gsl_matrix_set(J, 0, 0, 1.0);
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gsl_matrix_set(J, 1, 1, 1.0);
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gsl_matrix_set(J, 2, 0, x2);
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gsl_matrix_set(J, 2, 1, x1);
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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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brown3_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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double v1 = gsl_vector_get(v, 0);
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double v2 = gsl_vector_get(v, 1);
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gsl_vector_set(fvv, 0, 0.0);
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gsl_vector_set(fvv, 1, 0.0);
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gsl_vector_set(fvv, 2, 2.0 * v1 * v2);
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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 gsl_multifit_nlinear_fdf brown3_func =
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{
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brown3_f,
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brown3_df,
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brown3_fvv,
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brown3_N,
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brown3_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 brown3_problem =
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{
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"brown_badly_scaled",
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brown3_x0,
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NULL,
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NULL,
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&brown3_epsrel,
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&brown3_checksol,
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&brown3_func
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};
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