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See the\n+ * GNU General Public License and the GNU Lesser General Public License\n+ * for more details.\n+ *\n+ * You should have received a copy of the GNU General Public License\n+ * and the GNU Lesser General Public License along with libPMacc.\n+ * If not, see <http://www.gnu.org/licenses/>.\n+ */\n+\n+namespace PMacc\n+{\n+namespace math\n+{\n+\n+/** A complex number class */\n+template<typename Type>\n+struct Complex\n+{\n+\n+public:\n+\n+    typedef Type type;\n+\n+    // constructor (real, imaginary)\n+    HDINLINE Complex(Type real, Type imaginary = 0.0) : real(real), imaginary(imaginary) { }\n+    \n+    // constructor (Complex<T_OtherType>)\n+    template<typename OtherType>\n+    HDINLINE explicit Complex(const Complex<OtherType >& other) : real( static_cast<Type> (other.get_real()) ), imaginary( static_cast<Type> (other.get_imag()) ) { }\n+\n+    // default constructor ( ! no initialization of data ! )\n+    HDINLINE Complex(void) { }\n+\n+    // Conversion from scalar (assignment)\n+    HDINLINE Complex& operator=(const Type& other)\n+    {\n+        real = other;\n+        return *this;\n+    }\n+\n+    // Assignment operator\n+    HDINLINE Complex& operator=(const Complex& other)\n+    {\n+        real = other.real;\n+        imaginary = other.imaginary;\n+        return *this;\n+    }\n+\n+    // assign addition\n+    HDINLINE Complex& operator+=(const Complex& other)\n+    {\n+        real += other.real;\n+        imaginary += other.imaginary;\n+        return *this;\n+    }\n+\n+    // assign difference\n+    HDINLINE Complex& operator-=(const Complex& other)\n+    {\n+        real -= other.real;\n+        imaginary -= other.imaginary;\n+        return *this;\n+    }\n+\n+    // assign multiplication\n+    HDINLINE Complex& operator *=(const Complex& other)\n+    {\n+        *this = *this * other;\n+        return *this;\n+    }\n+\n+    // real part\n+    HDINLINE Type get_real(void) const\n+    {\n+        return real;\n+    }\n+\n+    // imaginary part\n+    HDINLINE Type get_imag(void) const\n+    {\n+        return imaginary;\n+    }\n+    \n+    // complex zero\n+    HDINLINE static Complex<Type> zero(void)\n+    {\n+        return Complex<Type>(0.0, 0.0);\n+    }\n+    \n+private:\n+    __align__(sizeof(Type)) Type real; // real part\n+    __align__(sizeof(Type)) Type imaginary; // imaginary part\n+    \n+};\n+\n+/** Addition operators */\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator+(const Complex<Type>& lhs, const Complex<Type>& rhs)\n+{\n+    return Complex<Type>(lhs.real + rhs.real, lhs.imaginary + rhs.imaginary);\n+}\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator+(const Complex<Type>& lhs, const Type& rhs)\n+{\n+    return Complex<Type>(lhs.real + rhs, lhs.imaginary);\n+}\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator+(const Type& lhs, const Complex<Type>& rhs)\n+{\n+    return Complex<Type>(lhs + rhs.real, rhs.imaginary);\n+}\n+\n+/** Substraction operators */\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator-(const Complex<Type>& lhs, const Complex<Type>& rhs)\n+{\n+    return Complex<Type>(lhs.real - rhs.real, lhs.imaginary - rhs.imaginary);\n+}\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator-(const Complex<Type>& lhs, const Type& rhs)\n+{\n+    return Complex<Type>(lhs.real - rhs, lhs.imaginary);\n+}\n+\n+template<typename Type>\n+HDINLINE Complex<Type>\n+operator-(const Type& lhs, const Complex<Type>& rhs)","path":"src/libPMacc/include/math/complex/Complex.hpp","position":150,"original_position":150,"commit_id":"f501275326c4a9617fcab8f9ac776ba807a50602","original_commit_id":"f501275326c4a9617fcab8f9ac776ba807a50602","user":{"login":"ax3l","id":1353258,"avatar_url":"https://avatars.githubusercontent.com/u/1353258?v=3","gravatar_id":"","url":"https://api.github.com/users/ax3l","html_url":"https://github.com/ax3l","followers_url":"https://api.github.com/users/ax3l/followers","following_url":"https://api.github.com/users/ax3l/following{/other_user}","gists_url":"https://api.github.com/users/ax3l/gists{/gist_id}","starred_url":"https://api.github.com/users/ax3l/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/ax3l/subscriptions","organizations_url":"https://api.github.com/users/ax3l/orgs","repos_url":"https://api.github.com/users/ax3l/repos","events_url":"https://api.github.com/users/ax3l/events{/privacy}","received_events_url":"https://api.github.com/users/ax3l/received_events","type":"User","site_admin":false},"body":"-> `(const Type lhs, const Complex<Type>& rhs)`","created_at":"2015-02-03T18:48:54Z","updated_at":"2015-02-03T18:48:54Z","html_url":"https://github.com/ComputationalRadiationPhysics/picongpu/pull/664#discussion_r24027866","pull_request_url":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/pulls/664","_links":{"self":{"href":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/pulls/comments/24027866"},"html":{"href":"https://github.com/ComputationalRadiationPhysics/picongpu/pull/664#discussion_r24027866"},"pull_request":{"href":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/pulls/664"}}},"pull_request":{"url":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/pulls/664","id":28547094,"html_url":"https://github.com/ComputationalRadiationPhysics/picongpu/pull/664","diff_url":"https://github.com/ComputationalRadiationPhysics/picongpu/pull/664.diff","patch_url":"https://github.com/ComputationalRadiationPhysics/picongpu/pull/664.patch","issue_url":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/issues/664","number":664,"state":"open","locked":false,"title":"Complex-math: Include in libPMacc","user":{"login":"BeyondEspresso","id":5319938,"avatar_url":"https://avatars.githubusercontent.com/u/5319938?v=3","gravatar_id":"","url":"https://api.github.com/users/BeyondEspresso","html_url":"https://github.com/BeyondEspresso","followers_url":"https://api.github.com/users/BeyondEspresso/followers","following_url":"https://api.github.com/users/BeyondEspresso/following{/other_user}","gists_url":"https://api.github.com/users/BeyondEspresso/gists{/gist_id}","starred_url":"https://api.github.com/users/BeyondEspresso/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/BeyondEspresso/subscriptions","organizations_url":"https://api.github.com/users/BeyondEspresso/orgs","repos_url":"https://api.github.com/users/BeyondEspresso/repos","events_url":"https://api.github.com/users/BeyondEspresso/events{/privacy}","received_events_url":"https://api.github.com/users/BeyondEspresso/received_events","type":"User","site_admin":false},"body":"Based on #597 and #599, this request replaces the current complex-math library of @PrometheusPi 's radiation plug-in. The new Complex-class is now part of libPMacc/math and includes extended functionality, which will be required for the TWTS laser feature.\r\n\r\nbetween `dev` and `topic-ComplexMath-BeyondEspresso`:\r\n - [ ] compare simulation time \r\n - [ ] check spectra\r\n","created_at":"2015-02-03T12:06:04Z","updated_at":"2015-02-03T18:48:54Z","closed_at":null,"merged_at":null,"merge_commit_sha":"798d7d651359f3fba90e5843fa0108eae1668ee1","assignee":null,"milestone":{"url":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/milestones/2","labels_url":"https://api.github.com/repos/ComputationalRadiationPhysics/picongpu/milestones/2/labels","id":395839,"number":2,"title":"Open Beta","description":"Tasks to complete until the release of our open beta (version 0.1)\r\n\r\nThe [beta](https://en.wikipedia.org/wiki/Software_release_life_cycle#Beta) release shall be useful for *physicist* that used a Particle-in-Cell code *before*. Experience with *compiling libraries from source* and a *good Linux knowledge* is required for the initial 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