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#define powell3_N 2
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#define powell3_P 2
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#define powell3_NTRIES 1
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static double powell3_x0[powell3_P] = { 0.0, 1.0 };
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static double powell3_epsrel = 1.0e-12;
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static void
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powell3_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 powell3_x[powell3_P] = { 1.09815932969975976e-05,
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9.10614673986700218 };
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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 < powell3_P; ++i)
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{
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gsl_test_rel(x[i], powell3_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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powell3_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, 1.0e4*x1*x2 - 1.0);
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gsl_vector_set(f, 1, exp(-x1) + exp(-x2) - 1.0001);
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return GSL_SUCCESS;
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}
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static int
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powell3_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(J, 0, 0, 1.0e4*x2);
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gsl_matrix_set(J, 0, 1, 1.0e4*x1);
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gsl_matrix_set(J, 1, 0, -exp(-x1));
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gsl_matrix_set(J, 1, 1, -exp(-x2));
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return GSL_SUCCESS;
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}
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static gsl_multifit_function_fdf powell3_func =
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{
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&powell3_f,
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&powell3_df,
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NULL,
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powell3_N,
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powell3_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 powell3_problem =
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{
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"powell_badly_scaled",
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powell3_x0,
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NULL,
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&powell3_epsrel,
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powell3_NTRIES,
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&powell3_checksol,
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&powell3_func
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};
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