mirror of
https://github.com/boostorg/math.git
synced 2026-02-27 05:02:32 +00:00
[ci skip] restore original test program
This commit is contained in:
Christopher Kormanyos
@@ -74,6 +74,17 @@ void multiplication_test()
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BOOST_TEST(result_mul_toto_is_ok);
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}
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{
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const boost::math::octonion<T> lhs(T(1),T(2),T(3),T(4),T(5),T(6),T(7),T(8));
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const boost::math::octonion<T> rhs(T(8),T(7),T(6),T(5),T(4),T(3),T(2),T(1));
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const boost::math::octonion<T> prod = lhs * rhs;
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const boost::math::octonion<T> ctrl(T(-104), T(14), T(12), T(10), T(152), T(42), T(4), T(74));
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BOOST_TEST(prod == ctrl);
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}
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}
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void octonion_original_manual_test()
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@@ -308,271 +319,6 @@ void octonion_original_manual_test()
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// using != (const octonion<T> &,const octonion<T> &)
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BOOST_TEST(o0 != o4);
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#if 0
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#ifdef BOOST_INTERACTIVE_TEST_INPUT_ITERATOR
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std::cout <<"Please input an octonion..." << std::endl;
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::std::cin >> o0;
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if (::std::cin.fail())
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{
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std::cout <<"You have entered nonsense!" << std::endl;
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}
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else
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{
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std::cout << "You have entered the octonion " << o0 << " ." << std::endl;
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}
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#else
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::std::istringstream bogus("(1,2,3,4,5,6,7,8)");
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bogus >> o0;
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std::cout << "You have entered the octonion " << o0 << " ." << std::endl;
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#endif
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std::cout << "For this octonion:";
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std::cout << "the value of the real part is " << real(o0) << std::endl;
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std::cout << "the value of the unreal part is " << unreal(o0) << std::endl;
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std::cout << "the value of the sup norm is "
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<< sup(o0) << std::endl;
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std::cout << "the value of the l1 norm is "
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<< l1(o0) << std::endl;
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std::cout << "the value of the magnitude (Euclidean norm) is "
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<< abs(o0) << std::endl;
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std::cout << "the value of the (Cayley) norm is "
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<< norm(o0) << std::endl;
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std::cout << "the value of the conjugate is "
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<< conj(o0) << std::endl;
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std::cout << "the value of the exponential is "
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<< exp(o0) << std::endl;
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std::cout << "the value of the cube is "
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<< pow(o0,3) << std::endl;
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std::cout << "the value of the cosinus is "
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<< cos(o0) << std::endl;
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std::cout << "the value of the sinus is "
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<< sin(o0) << std::endl;
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std::cout << "the value of the tangent is "
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<< tan(o0) << std::endl;
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std::cout << "the value of the hyperbolic cosinus is "
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<< cosh(o0) << std::endl;
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std::cout << "the value of the hyperbolic sinus is "
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<< sinh(o0) << std::endl;
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std::cout << "the value of the hyperbolic tangent is "
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<< tanh(o0) << std::endl;
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#ifdef BOOST_NO_TEMPLATE_TEMPLATES
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std::cout << "no template templates, can't compute cardinal functions");
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#else /* BOOST_NO_TEMPLATE_TEMPLATES */
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std::cout << "the value of the Sinus Cardinal (of index pi) is "
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<< sinc_pi(o0) << std::endl;
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std::cout << "the value of "
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<< "the Hyperbolic Sinus Cardinal (of index pi) is "
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<< sinhc_pi(o0) << std::endl;
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#endif /* BOOST_NO_TEMPLATE_TEMPLATES */
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std::cout <<" " << std::endl;
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float rho = ::std::sqrt(4096.0f);
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float theta = ::std::atan(1.0f);
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float phi1 = ::std::atan(1.0f);
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float phi2 = ::std::atan(1.0f);
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float phi3 = ::std::atan(1.0f);
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float phi4 = ::std::atan(1.0f);
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float phi5 = ::std::atan(1.0f);
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float phi6 = ::std::atan(1.0f);
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std::cout << "The value of the octonion represented "
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<< "in spherical form by "
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<< "rho = " << rho << " , theta = " << theta
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<< " , phi1 = " << phi1 << " , phi2 = " << phi2
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<< " , phi3 = " << phi3 << " , phi4 = " << phi4
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<< " , phi5 = " << phi5 << " , phi6 = " << phi6
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<< " is "
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<< ::boost::math::spherical(rho, theta,
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phi1, phi2, phi3, phi4, phi5, phi6) << std::endl;
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float rho1 = 1;
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float rho2 = 2;
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float rho3 = ::std::sqrt(2.0f);
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float rho4 = ::std::sqrt(8.0f);
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float theta1 = 0;
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float theta2 = ::std::atan(1.0f)*2;
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float theta3 = ::std::atan(1.0f);
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float theta4 = ::std::atan(::std::sqrt(3.0f));
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std::cout << "The value of the octonion represented "
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<< "in multipolar form by "
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<< "rho1 = " << rho1 << " , theta1 = " << theta1
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<< " , rho2 = " << rho2 << " , theta2 = " << theta2
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<< "rho3 = " << rho3 << " , theta3 = " << theta3
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<< " , rho4 = " << rho4 << " , theta4 = " << theta4
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<< " is "
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<< ::boost::math::multipolar(rho1, theta1, rho2, theta2,
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rho3, theta3, rho4, theta4) << std::endl;
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float r = ::std::sqrt(2.0f);
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float angle = ::std::atan(1.0f);
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float h1 = 3;
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float h2 = 4;
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float h3 = 5;
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float h4 = 6;
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float h5 = 7;
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float h6 = 8;
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std::cout << "The value of the octonion represented "
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<< "in cylindrical form by "
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<< "r = " << r << " , angle = " << angle
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<< " , h1 = " << h1 << " , h2 = " << h2
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<< " , h3 = " << h3 << " , h4 = " << h4
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<< " , h5 = " << h5 << " , h6 = " << h6
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<< " is " << ::boost::math::cylindrical(r, angle,
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h1, h2, h3, h4, h5, h6) << std::endl;
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double real_1(1);
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::std::complex<double> complex_1(1);
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::std::complex<double> complex_i(0,1);
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::boost::math::quaternion<double> quaternion_1(1);
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::boost::math::quaternion<double> quaternion_i(0,1);
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::boost::math::quaternion<double> quaternion_j(0,0,1);
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::boost::math::quaternion<double> quaternion_k(0,0,0,1);
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::boost::math::octonion<double> octonion_1(1);
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::boost::math::octonion<double> octonion_i(0,1);
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::boost::math::octonion<double> octonion_j(0,0,1);
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::boost::math::octonion<double> octonion_k(0,0,0,1);
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::boost::math::octonion<double> octonion_e_prime(0,0,0,0,1);
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::boost::math::octonion<double> octonion_i_prime(0,0,0,0,0,1);
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::boost::math::octonion<double> octonion_j_prime(0,0,0,0,0,0,1);
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::boost::math::octonion<double> octonion_k_prime(0,0,0,0,0,0,0,1);
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std::cout <<" " << std::endl;
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std::cout << "Real 1: " << real_1
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<< " ; Complex 1: " << complex_1
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<< " ; Quaternion 1: " << quaternion_1
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<< " ; Octonion 1: " << octonion_1 << " ." << std::endl;
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std::cout << "Complex i: " << complex_i
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<< " ; Quaternion i: " << quaternion_i
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<< " ; Octonion i : " << octonion_i << " ." << std::endl;
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std::cout << "Quaternion j: " << quaternion_j
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<< " ; Octonion j: " << octonion_j << " ." << std::endl;
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std::cout << "Quaternion k: " << quaternion_k
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<< " ; Octonion k: " << octonion_k << " ." << std::endl;
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std::cout << "Quaternion e\': " << octonion_e_prime << " ." << std::endl;
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std::cout << "Quaternion i\': " << octonion_i_prime << " ." << std::endl;
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std::cout << "Quaternion j\': " << octonion_j_prime << " ." << std::endl;
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std::cout << "Quaternion k\': " << octonion_k_prime << " ." << std::endl;
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std::cout <<" " << std::endl;
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std::cout << octonion_1*octonion_1 << " ; "
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<< octonion_1*octonion_i << " ; "
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<< octonion_1*octonion_j << " ; "
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<< octonion_1*octonion_k << " ; "
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<< octonion_1*octonion_e_prime << " ; "
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<< octonion_1*octonion_i_prime << " ; "
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<< octonion_1*octonion_j_prime << " ; "
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<< octonion_1*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_i*octonion_1 << " ; "
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<< octonion_i*octonion_i << " ; "
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<< octonion_i*octonion_j << " ; "
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<< octonion_i*octonion_k << " ; "
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<< octonion_i*octonion_e_prime << " ; "
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<< octonion_i*octonion_i_prime << " ; "
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<< octonion_i*octonion_j_prime << " ; "
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<< octonion_i*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_j*octonion_1 << " ; "
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<< octonion_j*octonion_i << " ; "
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<< octonion_j*octonion_j << " ; "
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<< octonion_j*octonion_k << " ; "
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<< octonion_j*octonion_e_prime << " ; "
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<< octonion_j*octonion_i_prime << " ; "
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<< octonion_j*octonion_j_prime << " ; "
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<< octonion_j*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_k*octonion_1 << " ; "
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<< octonion_k*octonion_i << " ; "
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<< octonion_k*octonion_j << " ; "
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<< octonion_k*octonion_k << " ; "
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<< octonion_k*octonion_e_prime << " ; "
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<< octonion_k*octonion_i_prime << " ; "
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<< octonion_k*octonion_j_prime << " ; "
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<< octonion_k*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_e_prime*octonion_1 << " ; "
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<< octonion_e_prime*octonion_i << " ; "
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<< octonion_e_prime*octonion_j << " ; "
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<< octonion_e_prime*octonion_k << " ; "
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<< octonion_e_prime*octonion_e_prime << " ; "
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<< octonion_e_prime*octonion_i_prime << " ; "
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<< octonion_e_prime*octonion_j_prime << " ; "
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<< octonion_e_prime*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_i_prime*octonion_1 << " ; "
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<< octonion_i_prime*octonion_i << " ; "
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<< octonion_i_prime*octonion_j << " ; "
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<< octonion_i_prime*octonion_k << " ; "
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<< octonion_i_prime*octonion_e_prime << " ; "
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<< octonion_i_prime*octonion_i_prime << " ; "
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<< octonion_i_prime*octonion_j_prime << " ; "
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<< octonion_i_prime*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_j_prime*octonion_1 << " ; "
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<< octonion_j_prime*octonion_i << " ; "
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<< octonion_j_prime*octonion_j << " ; "
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<< octonion_j_prime*octonion_k << " ; "
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<< octonion_j_prime*octonion_e_prime << " ; "
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<< octonion_j_prime*octonion_i_prime << " ; "
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<< octonion_j_prime*octonion_j_prime << " ; "
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<< octonion_j_prime*octonion_k_prime << " ; " << std::endl;
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std::cout << octonion_k_prime*octonion_1 << " ; "
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<< octonion_k_prime*octonion_i << " ; "
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<< octonion_k_prime*octonion_j << " ; "
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<< octonion_k_prime*octonion_k << " ; "
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<< octonion_k_prime*octonion_e_prime << " ; "
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<< octonion_k_prime*octonion_i_prime << " ; "
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<< octonion_k_prime*octonion_j_prime << " ; "
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<< octonion_k_prime*octonion_k_prime << " ; " << std::endl;
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std::cout <<" " << std::endl;
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std::cout <<"i\'*(e\'*j) : "
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<< octonion_i_prime*(octonion_e_prime*octonion_j) << " ;" << std::endl;
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std::cout <<"(i\'*e\')*j : "
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<< (octonion_i_prime*octonion_e_prime)*octonion_j << " ;" << std::endl;
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std::cout <<" " << std::endl;
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#endif
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}
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template <class T>
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361
test/octonion_test_simple.cpp
Normal file
361
test/octonion_test_simple.cpp
Normal file
@@ -0,0 +1,361 @@
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// Copyright Hubert Holin 2001.
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// Copyright Christopher Kormanyos 2024
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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#include <iomanip>
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#include <boost/mpl/list.hpp>
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#include <boost/math/octonion.hpp>
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#include <boost/core/lightweight_test.hpp>
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// test file for octonion.hpp
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namespace
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{
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template<typename T>
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::boost::math::octonion<T> index_i_element(int idx)
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{
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return(
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::boost::math::octonion<T>(
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(idx == 0) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 1) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 2) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 3) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 4) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 5) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 6) ?
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static_cast<T>(1) :
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static_cast<T>(0),
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(idx == 7) ?
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static_cast<T>(1) :
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static_cast<T>(0)
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));
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}
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}
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template<class T>
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void multiplication_test()
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{
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using ::std::numeric_limits;
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using ::boost::math::abs;
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// Testing multiplication.
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const auto one_by_one = ::boost::math::octonion<T>(1,0,0,0,0,0,0,0) * ::boost::math::octonion<T>(1,0,0,0,0,0,0,0);
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const T delta { abs(one_by_one - static_cast<T>(1)) };
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const auto result_mul_one_is_ok = (delta < numeric_limits<T>::epsilon());
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BOOST_TEST(result_mul_one_is_ok);
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for (int idx = 1; idx < 8; ++idx)
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{
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::boost::math::octonion<T> toto = index_i_element<T>(idx);
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const T tabs { abs(toto*toto+static_cast<T>(1)) };
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const auto result_mul_toto_is_ok = (tabs < numeric_limits<T>::epsilon());
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BOOST_TEST(result_mul_toto_is_ok);
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}
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{
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const boost::math::octonion<T> lhs(T(1),T(2),T(3),T(4),T(5),T(6),T(7),T(8));
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const boost::math::octonion<T> rhs(T(8),T(7),T(6),T(5),T(4),T(3),T(2),T(1));
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const boost::math::octonion<T> prod = lhs * rhs;
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const boost::math::octonion<T> ctrl(T(-104), T(14), T(12), T(10), T(152), T(42), T(4), T(74));
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BOOST_TEST(prod == ctrl);
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}
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}
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void octonion_original_manual_test()
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{
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// tests for evaluation by humans
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// using default constructor
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::boost::math::octonion<float> o0;
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::boost::math::octonion<float> oa[2];
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// using constructor "O seen as R^8"
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::boost::math::octonion<float> o1(1,2,3,4,5,6,7,8);
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::std::complex<double> c0(9,10);
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// using constructor "O seen as C^4"
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::boost::math::octonion<double> o2(c0);
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::boost::math::quaternion<long double> q0(11,12,13,14);
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// using constructor "O seen as H^2"
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::boost::math::octonion<long double> o3(q0);
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||||
// using UNtemplated copy constructor
|
||||
::boost::math::octonion<float> o4(o1);
|
||||
|
||||
// using templated copy constructor
|
||||
::boost::math::octonion<long double> o5(o2);
|
||||
|
||||
// using UNtemplated assignment operator
|
||||
o5 = o3;
|
||||
oa[0] = o0;
|
||||
|
||||
// using templated assignment operator
|
||||
o5 = o2;
|
||||
oa[1] = o5;
|
||||
|
||||
float f0(15);
|
||||
|
||||
// using converting assignment operator
|
||||
o0 = f0;
|
||||
|
||||
// using converting assignment operator
|
||||
o2 = c0;
|
||||
|
||||
// using converting assignment operator
|
||||
o5 = q0;
|
||||
|
||||
// using += (const T &)
|
||||
o4 += f0;
|
||||
|
||||
// using == (const octonion<T> &,const octonion<T> &)
|
||||
BOOST_TEST(o0 != o4);
|
||||
|
||||
// using += (const ::std::complex<T> &)
|
||||
o2 += c0;
|
||||
|
||||
// using == (const ::boost::math::quaternion<T> &, const octonion<T> &)
|
||||
BOOST_TEST(q0 == o3);
|
||||
|
||||
// using += (const ::boost::math::quaternion<T> &)
|
||||
o3 += q0;
|
||||
|
||||
BOOST_TEST(2 * q0 == o3);
|
||||
|
||||
// using += (const quaternion<X> &)
|
||||
o5 += o4;
|
||||
|
||||
// using -= (const T &)
|
||||
o1 -= f0;
|
||||
|
||||
// using -= (const ::std::complex<T> &)
|
||||
o2 -= c0;
|
||||
|
||||
// using -= (const ::boost::math::quaternion<T> &)
|
||||
o5 -= q0;
|
||||
|
||||
// using -= (const octonion<X> &)
|
||||
o3 -= o4;
|
||||
|
||||
// using == (const ::std::complex<T> &, const octonion<T> &)
|
||||
BOOST_TEST(c0 == o2);
|
||||
|
||||
// using == (const octonion<T> &, const ::std::complex<T> &)
|
||||
BOOST_TEST(o2 == c0);
|
||||
|
||||
double d0(16);
|
||||
::std::complex<double> c1(17,18);
|
||||
::boost::math::quaternion<double> q1(19,20,21,22);
|
||||
|
||||
// using *= (const T &)
|
||||
o2 *= d0;
|
||||
|
||||
// using *= (const ::std::complex<T> &)
|
||||
o2 *= c1;
|
||||
|
||||
// using *= (const ::boost::math::quaternion<T> &)
|
||||
o2 *= q1;
|
||||
|
||||
// using *= (const octonion<X> &)
|
||||
o2 *= o4;
|
||||
|
||||
long double l0(23);
|
||||
::std::complex<long double> c2(24,25);
|
||||
|
||||
// using /= (const T &)
|
||||
o5 /= l0;
|
||||
|
||||
// using /= (const ::std::complex<T> &)
|
||||
o5 /= c2;
|
||||
|
||||
// using /= (const quaternion<X> &)
|
||||
o5 /= q0;
|
||||
|
||||
// using /= (const octonion<X> &)
|
||||
o5 /= o5;
|
||||
|
||||
// using + (const T &, const octonion<T> &)
|
||||
::boost::math::octonion<float> o6 = f0+o0;
|
||||
|
||||
// using + (const octonion<T> &, const T &)
|
||||
::boost::math::octonion<float> o7 = o0+f0;
|
||||
|
||||
// using + (const ::std::complex<T> &, const quaternion<T> &)
|
||||
::boost::math::octonion<double> o8 = c0+o2;
|
||||
|
||||
// using + (const octonion<T> &, const ::std::complex<T> &)
|
||||
::boost::math::octonion<double> o9 = o2+c0;
|
||||
|
||||
// using + (const ::boost::math::quaternion<T>, const octonion<T> &)
|
||||
::boost::math::octonion<long double> o10 = q0+o3;
|
||||
|
||||
// using + (const octonion<T> &, const ::boost::math::quaternion<T> &)
|
||||
::boost::math::octonion<long double> o11 = o3+q0;
|
||||
|
||||
// using + (const quaternion<T> &,const quaternion<T> &)
|
||||
::boost::math::octonion<float> o12 = o0+o4;
|
||||
|
||||
// using - (const T &, const octonion<T> &)
|
||||
o6 = f0-o0;
|
||||
|
||||
// using - (const octonion<T> &, const T &)
|
||||
o7 = o0-f0;
|
||||
|
||||
// using - (const ::std::complex<T> &, const octonion<T> &)
|
||||
o8 = c0-o2;
|
||||
|
||||
// using - (const octonion<T> &, const ::std::complex<T> &)
|
||||
o9 = o2-c0;
|
||||
|
||||
// using - (const quaternion<T> &,const octonion<T> &)
|
||||
o10 = q0-o3;
|
||||
|
||||
// using - (const octonion<T> &,const quaternion<T> &)
|
||||
o11 = o3-q0;
|
||||
|
||||
// using - (const octonion<T> &,const octonion<T> &)
|
||||
o12 = o0-o4;
|
||||
|
||||
// using * (const T &, const octonion<T> &)
|
||||
o6 = f0*o0;
|
||||
|
||||
// using * (const octonion<T> &, const T &)
|
||||
o7 = o0*f0;
|
||||
|
||||
// using * (const ::std::complex<T> &, const octonion<T> &)
|
||||
o8 = c0*o2;
|
||||
|
||||
// using * (const octonion<T> &, const ::std::complex<T> &)
|
||||
o9 = o2*c0;
|
||||
|
||||
// using * (const quaternion<T> &,const octonion<T> &)
|
||||
o10 = q0*o3;
|
||||
|
||||
// using * (const octonion<T> &,const quaternion<T> &)
|
||||
o11 = o3*q0;
|
||||
|
||||
// using * (const octonion<T> &,const octonion<T> &)
|
||||
o12 = o0*o4;
|
||||
|
||||
// using / (const T &, const octonion<T> &)
|
||||
o6 = f0/o0;
|
||||
|
||||
// using / (const octonion<T> &, const T &)
|
||||
o7 = o0/f0;
|
||||
|
||||
// using / (const ::std::complex<T> &, const octonion<T> &)
|
||||
o8 = c0/o2;
|
||||
|
||||
// using / (const octonion<T> &, const ::std::complex<T> &)
|
||||
o9 = o2/c0;
|
||||
|
||||
// using / (const ::boost::math::quaternion<T> &, const octonion<T> &)
|
||||
o10 = q0/o3;
|
||||
|
||||
// using / (const octonion<T> &, const ::boost::math::quaternion<T> &)
|
||||
o11 = o3/q0;
|
||||
|
||||
// using / (const octonion<T> &,const octonion<T> &)
|
||||
o12 = o0/o4;
|
||||
|
||||
// using + (const octonion<T> &)
|
||||
o4 = +o0;
|
||||
|
||||
// using == (const T &, const octonion<T> &)
|
||||
BOOST_TEST(f0 == o0);
|
||||
|
||||
// using == (const octonion<T> &, const T &)
|
||||
BOOST_TEST(o0 == f0);
|
||||
|
||||
// using - (const octonion<T> &)
|
||||
o0 = -o4;
|
||||
|
||||
// using != (const T &, const octonion<T> &)
|
||||
BOOST_TEST(f0 != o0);
|
||||
|
||||
// using != (const octonion<T> &, const T &)
|
||||
BOOST_TEST(o0 != f0);
|
||||
|
||||
// using != (const ::std::complex<T> &, const octonion<T> &)
|
||||
BOOST_TEST(c0 != o2);
|
||||
|
||||
// using != (const octonion<T> &, const ::std::complex<T> &)
|
||||
BOOST_TEST(o2 != c0);
|
||||
|
||||
// using != (const ::boost::math::quaternion<T> &, const octonion<T> &)
|
||||
BOOST_TEST(q0 != o3);
|
||||
|
||||
// using != (const octonion<T> &, const ::boost::math::quaternion<T> &)
|
||||
BOOST_TEST(o3 != q0);
|
||||
|
||||
// using != (const octonion<T> &,const octonion<T> &)
|
||||
BOOST_TEST(o0 != o4);
|
||||
}
|
||||
|
||||
template <class T>
|
||||
void exp_test()
|
||||
{
|
||||
using ::std::numeric_limits;
|
||||
|
||||
using ::std::atan;
|
||||
|
||||
using ::boost::math::abs;
|
||||
|
||||
// Testing exp.
|
||||
|
||||
for(int idx = 1; idx < 8; ++idx)
|
||||
{
|
||||
::boost::math::octonion<T> toto =
|
||||
static_cast<T>(4)*atan(static_cast<T>(1))*index_i_element<T>(idx);
|
||||
|
||||
const T tabs { abs(exp(toto)+static_cast<T>(1)) };
|
||||
|
||||
const auto result_exp_toto_is_ok = (tabs < 2*numeric_limits<T>::epsilon());
|
||||
|
||||
BOOST_TEST(result_exp_toto_is_ok);
|
||||
}
|
||||
}
|
||||
|
||||
auto main() -> int
|
||||
{
|
||||
multiplication_test<float>();
|
||||
multiplication_test<double>();
|
||||
|
||||
exp_test<float>();
|
||||
exp_test<double>();
|
||||
|
||||
octonion_original_manual_test();
|
||||
|
||||
const auto result_is_ok = (boost::report_errors() == 0);
|
||||
|
||||
return (result_is_ok ? 0 : -1);
|
||||
}
|
||||
Reference in New Issue
Block a user