1 | /* $Id: std_math.cpp 3060 2013-12-27 20:38:57Z bradbell $ */ |
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2 | /* -------------------------------------------------------------------------- |
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3 | CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-13 Bradley M. Bell |
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4 | |
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5 | CppAD is distributed under multiple licenses. This distribution is under |
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6 | the terms of the |
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7 | Eclipse Public License Version 1.0. |
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8 | |
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9 | A copy of this license is included in the COPYING file of this distribution. |
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10 | Please visit http://www.coin-or.org/CppAD/ for information on other licenses. |
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11 | -------------------------------------------------------------------------- */ |
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12 | |
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13 | /* |
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14 | Test the using standard math functions with AD< AD<double> > |
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15 | */ |
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16 | |
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17 | # include <cppad/cppad.hpp> |
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18 | |
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19 | typedef CppAD::AD<double> ADdouble; |
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20 | typedef CppAD::AD< ADdouble > ADDdouble; |
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21 | |
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22 | bool std_math(void) |
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23 | { using CppAD::NearEqual; |
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24 | bool ok = true; |
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25 | ADDdouble half(.5); |
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26 | ADDdouble one(1.); |
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27 | ADDdouble two(2.); |
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28 | ADDdouble ten(10.); |
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29 | ADDdouble small(1e-6); |
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30 | ADDdouble pi_4(3.141592653 / 4.); |
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31 | ADDdouble root_2( sqrt(two) ); |
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32 | |
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33 | ADDdouble y( acos(one / root_2) ); |
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34 | ok &= NearEqual( pi_4, y, small, small ); |
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35 | |
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36 | y = cos(pi_4); |
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37 | ok &= NearEqual( one / root_2, y, small, small ); |
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38 | |
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39 | y = asin(one / root_2); |
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40 | ok &= NearEqual( pi_4, y, small, small ); |
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41 | |
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42 | y = sin(pi_4); |
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43 | ok &= NearEqual( one / root_2, y, small, small ); |
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44 | |
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45 | y = atan(one); |
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46 | ok &= NearEqual( pi_4, y, small, small ); |
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47 | |
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48 | y = tan(pi_4); |
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49 | ok &= NearEqual( one, y, small, small ); |
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50 | |
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51 | y = two * cosh(one); |
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52 | ok &= NearEqual( exp(one) + exp(-one), y, small, small ); |
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53 | |
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54 | y = two * sinh(one); |
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55 | ok &= NearEqual( exp(one) - exp(-one), y, small, small ); |
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56 | |
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57 | y = log( exp(one) ); |
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58 | ok &= NearEqual( one, y, small, small ); |
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59 | |
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60 | y = log10( exp( log(ten) ) ); |
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61 | ok &= NearEqual( one, y, small, small ); |
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62 | |
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63 | return ok; |
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64 | } |
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