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// Copyright 2011 Chris Rogers
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// This file is a part of G4MICE
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// G4MICE is free software: you can redistribute it and/or modify
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// it under the terms of the GNU General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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// G4MICE is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// You should have received a copy of the GNU General Public License
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// along with G4MICE in the doc folder. If not, see
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// <http://www.gnu.org/licenses/>.
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#include "gtest/gtest.h"
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/* This file is part of MAUS: http://micewww.pp.rl.ac.uk/projects/maus
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* MAUS is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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* MAUS is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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* You should have received a copy of the GNU General Public License
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* along with MAUS. If not, see <http://www.gnu.org/licenses/>.
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#include "gtest/gtest.h"
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#include "src/common/Interface/MathUtils.hh"
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#include "src/common/Interface/STLUtils.hh"
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// compare numerical derivative with analytical derivative
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// check that f' < tolerance in the range xmin -> xmax, for all derivatives up to
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// max_n (where n=1 is the first derivative). (n+1)th numerical derivative is
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// calculated from nth analytical derivative using standard formula
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// max_n (where n=1 is the first derivative). (n+1)th numerical derivative is
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// calculated from nth analytical derivative using standard formula
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// f' = ( f(x+dx)-f(x-dx) )/2dx
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// Deal with two cases:
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// * where f is large, requiring large tolerance on numerical derivative
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for (double x = xmin; x < xmax; x += (xmax-xmin)/100.) {
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double y = (object.*function)(x, n);
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if (y*dy_tol > dy_tol) dy_tol = y*dy_tol;
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((object.*function)(x+dx, n-1)
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-(object.*function)(x-dx, n-1))/2./dx, dy_tol) << n << " " << x;
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((object.*function)(x+dx, n-1)
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-(object.*function)(x-dx, n-1))/2./dx, dy_tol) << n << " " << x;
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ASSERT_EQ(htv.size(), size_t(0));
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// check that we calculate d^n/dx^n h correctly - calculate explicitly h for a
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// check that we calculate d^n/dx^n h correctly - calculate explicitly h for a
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// values and then compare numerical and analytical derivatives
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TEST_F(EngeTest, HNTest) {
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for (double x = -10.; x < 11; x++) {
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test_deriv(_enge, &Enge::HN, 1e-3, -10., 10., 1e-6, 9);
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// check that we calculate d^n/dx^n g correctly - calculate explicitly g for a
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// check that we calculate d^n/dx^n g correctly - calculate explicitly g for a
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// few x values and then compare numerical and analytical derivatives
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TEST_F(EngeTest, GNTest) {
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for (double x = -10; x < 11; x++) {
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test_deriv(_enge, &Enge::GN, 1e-6, -10., 10., 1e-6, 9);
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// check that we calculate d^n/dx^n enge correctly - calculate explicitly g for
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// check that we calculate d^n/dx^n enge correctly - calculate explicitly g for
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// a few x values and then compare numerical and analytical derivatives
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TEST_F(EngeTest, GetEngeTest) {
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for (double x = -10; x < 11; x++)
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tests/cpp_unit/Interface/MathUtilsTest.cpp
