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Raw output: lab_xs.c
01: from libc.math cimport tanh, atanh, sqrt
02:
+03: def diff_xs_eta(double e_proton, double charge, double eta, double x_1, double x_2):
/* Python wrapper */ static PyObject *__pyx_pw_6lab_xs_1diff_xs_eta(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/ static char __pyx_doc_6lab_xs_diff_xs_eta[] = "Calculates the differential cross section as a function of the\n cosine of the pseudo rapidity eta of one photon in units of 1/GeV\302\262.\n Here d\316\251=detad\317\206\n :param e_proton: proton energy per beam [GeV]\n :param charge: charge of the quark\n :param x_1: momentum fraction of the first quark\n :param x_2: momentum fraction of the second quark\n :param eta: pseudo rapidity\n :return: the differential cross section [GeV^{-2}]\n "; static PyMethodDef __pyx_mdef_6lab_xs_1diff_xs_eta = {"diff_xs_eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6lab_xs_1diff_xs_eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6lab_xs_diff_xs_eta}; static PyObject *__pyx_pw_6lab_xs_1diff_xs_eta(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) { double __pyx_v_e_proton; double __pyx_v_charge; double __pyx_v_eta; double __pyx_v_x_1; double __pyx_v_x_2; PyObject *__pyx_r = 0; __Pyx_RefNannyDeclarations __Pyx_RefNannySetupContext("diff_xs_eta (wrapper)", 0); { static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_e_proton,&__pyx_n_s_charge,&__pyx_n_s_eta,&__pyx_n_s_x_1,&__pyx_n_s_x_2,0}; PyObject* values[5] = {0,0,0,0,0}; if (unlikely(__pyx_kwds)) { Py_ssize_t kw_args; const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args); switch (pos_args) { case 5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4); CYTHON_FALLTHROUGH; case 4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3); CYTHON_FALLTHROUGH; case 3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2); CYTHON_FALLTHROUGH; case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1); CYTHON_FALLTHROUGH; case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0); CYTHON_FALLTHROUGH; case 0: break; default: goto __pyx_L5_argtuple_error; } kw_args = PyDict_Size(__pyx_kwds); switch (pos_args) { case 0: if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_e_proton)) != 0)) kw_args--; 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} else { values[0] = PyTuple_GET_ITEM(__pyx_args, 0); values[1] = PyTuple_GET_ITEM(__pyx_args, 1); values[2] = PyTuple_GET_ITEM(__pyx_args, 2); values[3] = PyTuple_GET_ITEM(__pyx_args, 3); values[4] = PyTuple_GET_ITEM(__pyx_args, 4); } __pyx_v_e_proton = __pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_e_proton == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 3, __pyx_L3_error) __pyx_v_charge = __pyx_PyFloat_AsDouble(values[1]); if (unlikely((__pyx_v_charge == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 3, __pyx_L3_error) __pyx_v_eta = __pyx_PyFloat_AsDouble(values[2]); if (unlikely((__pyx_v_eta == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 3, __pyx_L3_error) __pyx_v_x_1 = __pyx_PyFloat_AsDouble(values[3]); if (unlikely((__pyx_v_x_1 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 3, __pyx_L3_error) __pyx_v_x_2 = __pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_x_2 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 3, __pyx_L3_error) } goto __pyx_L4_argument_unpacking_done; 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04: """Calculates the differential cross section as a function of the
05: cosine of the pseudo rapidity eta of one photon in units of 1/GeV².
06: Here dΩ=detadφ
07: :param e_proton: proton energy per beam [GeV]
08: :param charge: charge of the quark
09: :param x_1: momentum fraction of the first quark
10: :param x_2: momentum fraction of the second quark
11: :param eta: pseudo rapidity
12: :return: the differential cross section [GeV^{-2}]
13: """
+14: cdef double rap = atanh((x_1 - x_2) / (x_1 + x_2))
__pyx_v_rap = atanh(((__pyx_v_x_1 - __pyx_v_x_2) / (__pyx_v_x_1 + __pyx_v_x_2)));
+15: return (
__Pyx_XDECREF(__pyx_r);
16: charge ** 4
17: / (137.036 * e_proton) ** 2
18: / (24 * x_1 * x_2)
+19: * ((tanh(eta - rap)) ** 2 + 1)
__pyx_t_1 = PyFloat_FromDouble((((pow(__pyx_v_charge, 4.0) / pow((137.036 * __pyx_v_e_proton), 2.0)) / ((24.0 * __pyx_v_x_1) * __pyx_v_x_2)) * (pow(tanh((__pyx_v_eta - __pyx_v_rap)), 2.0) + 1.0))); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 19, __pyx_L1_error) __Pyx_GOTREF(__pyx_t_1); __pyx_r = __pyx_t_1; __pyx_t_1 = 0; goto __pyx_L0;
20: )
21:
+22: def pT(double e_proton, double eta, double x_1, double x_2):
/* Python wrapper */ static PyObject *__pyx_pw_6lab_xs_3pT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/ static PyMethodDef __pyx_mdef_6lab_xs_3pT = {"pT", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6lab_xs_3pT, METH_VARARGS|METH_KEYWORDS, 0}; static PyObject *__pyx_pw_6lab_xs_3pT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) { double __pyx_v_e_proton; double __pyx_v_eta; double __pyx_v_x_1; double __pyx_v_x_2; PyObject *__pyx_r = 0; __Pyx_RefNannyDeclarations __Pyx_RefNannySetupContext("pT (wrapper)", 0); { static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_e_proton,&__pyx_n_s_eta,&__pyx_n_s_x_1,&__pyx_n_s_x_2,0}; PyObject* values[4] = {0,0,0,0}; if (unlikely(__pyx_kwds)) { Py_ssize_t kw_args; const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args); switch (pos_args) { case 4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3); CYTHON_FALLTHROUGH; case 3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2); CYTHON_FALLTHROUGH; case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1); CYTHON_FALLTHROUGH; case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0); CYTHON_FALLTHROUGH; case 0: break; default: goto __pyx_L5_argtuple_error; } kw_args = PyDict_Size(__pyx_kwds); switch (pos_args) { case 0: if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_e_proton)) != 0)) kw_args--; else goto __pyx_L5_argtuple_error; CYTHON_FALLTHROUGH; case 1: if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_eta)) != 0)) kw_args--; else { __Pyx_RaiseArgtupleInvalid("pT", 1, 4, 4, 1); __PYX_ERR(0, 22, __pyx_L3_error) } CYTHON_FALLTHROUGH; case 2: if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_x_1)) != 0)) kw_args--; else { __Pyx_RaiseArgtupleInvalid("pT", 1, 4, 4, 2); __PYX_ERR(0, 22, __pyx_L3_error) } CYTHON_FALLTHROUGH; case 3: if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_x_2)) != 0)) kw_args--; else { __Pyx_RaiseArgtupleInvalid("pT", 1, 4, 4, 3); __PYX_ERR(0, 22, __pyx_L3_error) } } if (unlikely(kw_args > 0)) { if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "pT") < 0)) __PYX_ERR(0, 22, __pyx_L3_error) } } else if (PyTuple_GET_SIZE(__pyx_args) != 4) { goto __pyx_L5_argtuple_error; } else { values[0] = PyTuple_GET_ITEM(__pyx_args, 0); values[1] = PyTuple_GET_ITEM(__pyx_args, 1); values[2] = PyTuple_GET_ITEM(__pyx_args, 2); values[3] = PyTuple_GET_ITEM(__pyx_args, 3); } __pyx_v_e_proton = __pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_e_proton == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 22, __pyx_L3_error) __pyx_v_eta = __pyx_PyFloat_AsDouble(values[1]); if (unlikely((__pyx_v_eta == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 22, __pyx_L3_error) __pyx_v_x_1 = __pyx_PyFloat_AsDouble(values[2]); if (unlikely((__pyx_v_x_1 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 22, __pyx_L3_error) __pyx_v_x_2 = __pyx_PyFloat_AsDouble(values[3]); if (unlikely((__pyx_v_x_2 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 22, __pyx_L3_error) } goto __pyx_L4_argument_unpacking_done; __pyx_L5_argtuple_error:; __Pyx_RaiseArgtupleInvalid("pT", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 22, __pyx_L3_error) __pyx_L3_error:; __Pyx_AddTraceback("lab_xs.pT", __pyx_clineno, __pyx_lineno, __pyx_filename); __Pyx_RefNannyFinishContext(); return NULL; __pyx_L4_argument_unpacking_done:; __pyx_r = __pyx_pf_6lab_xs_2pT(__pyx_self, __pyx_v_e_proton, __pyx_v_eta, __pyx_v_x_1, __pyx_v_x_2); /* function exit code */ __Pyx_RefNannyFinishContext(); return __pyx_r; } static PyObject *__pyx_pf_6lab_xs_2pT(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_e_proton, double __pyx_v_eta, double __pyx_v_x_1, double __pyx_v_x_2) { double __pyx_v_tanh_eta; PyObject *__pyx_r = NULL; __Pyx_RefNannyDeclarations __Pyx_RefNannySetupContext("pT", 0); /* … */ /* function exit code */ __pyx_L1_error:; __Pyx_XDECREF(__pyx_t_1); __Pyx_AddTraceback("lab_xs.pT", __pyx_clineno, __pyx_lineno, __pyx_filename); __pyx_r = NULL; __pyx_L0:; __Pyx_XGIVEREF(__pyx_r); __Pyx_RefNannyFinishContext(); return __pyx_r; } /* … */ __pyx_tuple__3 = PyTuple_Pack(5, __pyx_n_s_e_proton, __pyx_n_s_eta, __pyx_n_s_x_1, __pyx_n_s_x_2, __pyx_n_s_tanh_eta); if (unlikely(!__pyx_tuple__3)) __PYX_ERR(0, 22, __pyx_L1_error) __Pyx_GOTREF(__pyx_tuple__3); __Pyx_GIVEREF(__pyx_tuple__3); /* … */ __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_6lab_xs_3pT, NULL, __pyx_n_s_lab_xs); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 22, __pyx_L1_error) __Pyx_GOTREF(__pyx_t_1); if (PyDict_SetItem(__pyx_d, __pyx_n_s_pT, __pyx_t_1) < 0) __PYX_ERR(0, 22, __pyx_L1_error) __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; __pyx_codeobj__4 = (PyObject*)__Pyx_PyCode_New(4, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__3, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_lab_xs_pyx, __pyx_n_s_pT, 22, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__4)) __PYX_ERR(0, 22, __pyx_L1_error)
+23: cdef double tanh_eta = tanh(eta)
__pyx_v_tanh_eta = tanh(__pyx_v_eta);
+24: return (
__Pyx_XDECREF(__pyx_r);
25: 2
26: * e_proton
27: * x_1
28: * x_2
29: / (x_1 + x_2 - (x_1 - x_2) * tanh_eta)
+30: * sqrt(1 - tanh_eta ** 2)
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31: )
32:
33:
+34: def averaged_tchanel_q2(double e_proton, double x_1, double x_2):
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+35: return 2 * x_1 * x_2 * e_proton ** 2
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36:
+37: def second_eta(double eta, double x_1, double x_2):
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+38: cdef double rap = atanh((x_1 - x_2) / (x_1 + x_2))
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