1 | /* $Id: sin.cpp 2506 2012-10-24 19:36:49Z bradbell $ */ |
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2 | /* -------------------------------------------------------------------------- |
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3 | CppAD: C++ Algorithmic Differentiation: Copyright (C) 2003-12 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 | Old example now just used for validation testing. |
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15 | */ |
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16 | # include <cppad/cppad.hpp> |
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17 | |
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18 | bool Sin(void) |
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19 | { bool ok = true; |
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20 | |
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21 | using CppAD::sin; |
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22 | using CppAD::cos; |
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23 | using namespace CppAD; |
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24 | |
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25 | // independent variable vector |
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26 | CPPAD_TESTVECTOR(AD<double>) U(1); |
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27 | U[0] = 1.; |
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28 | Independent(U); |
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29 | |
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30 | // dependent variable vector |
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31 | CPPAD_TESTVECTOR(AD<double>) Z(1); |
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32 | Z[0] = sin(U[0]); |
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33 | |
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34 | // create f: U -> Z and vectors used for derivative calculations |
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35 | ADFun<double> f(U, Z); |
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36 | CPPAD_TESTVECTOR(double) v(1); |
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37 | CPPAD_TESTVECTOR(double) w(1); |
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38 | |
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39 | // check value |
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40 | double sin_u = sin( Value(U[0]) ); |
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41 | double cos_u = cos( Value(U[0]) ); |
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42 | |
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43 | ok &= NearEqual(sin_u, Value(Z[0]), 1e-10 , 1e-10); |
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44 | |
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45 | // forward computation of partials w.r.t. u |
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46 | size_t j; |
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47 | size_t p = 5; |
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48 | double jfac = 1.; |
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49 | v[0] = 1.; |
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50 | for(j = 1; j < p; j++) |
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51 | { w = f.Forward(j, v); |
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52 | |
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53 | double value; |
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54 | if( j % 4 == 1 ) |
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55 | value = cos_u; |
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56 | else if( j % 4 == 2 ) |
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57 | value = -sin_u; |
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58 | else if( j % 4 == 3 ) |
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59 | value = -cos_u; |
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60 | else value = sin_u; |
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61 | |
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62 | jfac *= j; |
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63 | ok &= NearEqual(jfac*w[0], value, 1e-10 , 1e-10); // d^jz/du^j |
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64 | v[0] = 0.; |
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65 | } |
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66 | |
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67 | // reverse computation of partials of Taylor coefficients |
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68 | CPPAD_TESTVECTOR(double) r(p); |
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69 | w[0] = 1.; |
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70 | r = f.Reverse(p, w); |
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71 | jfac = 1.; |
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72 | for(j = 0; j < p; j++) |
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73 | { |
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74 | double value; |
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75 | if( j % 4 == 0 ) |
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76 | value = cos_u; |
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77 | else if( j % 4 == 1 ) |
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78 | value = -sin_u; |
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79 | else if( j % 4 == 2 ) |
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80 | value = -cos_u; |
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81 | else value = sin_u; |
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82 | |
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83 | ok &= NearEqual(jfac*r[j], value, 1e-10 , 1e-10); // d^jz/du^j |
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84 | |
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85 | jfac *= (j + 1); |
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86 | } |
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87 | |
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88 | return ok; |
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89 | } |
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