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some minor investigations of the vegas algo
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<p>Raw output: <a href="lab_xs.c">lab_xs.c</a></p>
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<div class="cython"><pre class="cython line score-0"> <span class="">01</span>: <span class="k">from</span> <span class="nn">libc.math</span> <span class="k">cimport</span> <span class="n">tanh</span><span class="p">,</span> <span class="n">atanh</span><span class="p">,</span> <span class="n">sqrt</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">02</span>: </pre>
|
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<pre class="cython line score-108" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">03</span>: <span class="k">def</span> <span class="nf">diff_xs_eta</span><span class="p">(</span><span class="n">double</span> <span class="n">e_proton</span><span class="p">,</span> <span class="n">double</span> <span class="n">charge</span><span class="p">,</span> <span class="n">double</span> <span class="n">eta</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_1</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_2</span><span class="p">):</span></pre>
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<pre class='cython code score-108 '>/* Python wrapper */
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double __pyx_v_e_proton;
|
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|
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|
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|
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static PyObject *__pyx_pf_6lab_xs_diff_xs_eta(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_e_proton, double __pyx_v_charge, double __pyx_v_eta, double __pyx_v_x_1, double __pyx_v_x_2) {
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</pre><pre class="cython line score-0"> <span class="">04</span>: <span class="sd">"""Calculates the differential cross section as a function of the</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">05</span>: <span class="sd"> cosine of the pseudo rapidity eta of one photon in units of 1/GeV².</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">06</span>: <span class="sd"> Here dΩ=detadφ</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">07</span>: <span class="sd"> :param e_proton: proton energy per beam [GeV]</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">08</span>: <span class="sd"> :param charge: charge of the quark</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">09</span>: <span class="sd"> :param x_1: momentum fraction of the first quark</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">10</span>: <span class="sd"> :param x_2: momentum fraction of the second quark</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">11</span>: <span class="sd"> :param eta: pseudo rapidity</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">12</span>: <span class="sd"> :return: the differential cross section [GeV^{-2}]</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">13</span>: <span class="sd"> """</span></pre>
|
||||
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">14</span>: <span class="k">cdef</span> <span class="kt">double</span> <span class="nf">rap</span> <span class="o">=</span> <span class="n">atanh</span><span class="p">((</span><span class="n">x_1</span> <span class="o">-</span> <span class="n">x_2</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">x_1</span> <span class="o">+</span> <span class="n">x_2</span><span class="p">))</span></pre>
|
||||
<pre class='cython code score-0 '> __pyx_v_rap = atanh(((__pyx_v_x_1 - __pyx_v_x_2) / (__pyx_v_x_1 + __pyx_v_x_2)));
|
||||
</pre><pre class="cython line score-1" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">15</span>: <span class="k">return</span> <span class="p">(</span></pre>
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<pre class='cython code score-1 '> <span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_r);
|
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</pre><pre class="cython line score-0"> <span class="">16</span>: <span class="n">charge</span> <span class="o">**</span> <span class="mf">4</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">17</span>: <span class="o">/</span> <span class="p">(</span><span class="mf">137.036</span> <span class="o">*</span> <span class="n">e_proton</span><span class="p">)</span> <span class="o">**</span> <span class="mf">2</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">18</span>: <span class="o">/</span> <span class="p">(</span><span class="mf">24</span> <span class="o">*</span> <span class="n">x_1</span> <span class="o">*</span> <span class="n">x_2</span><span class="p">)</span></pre>
|
||||
<pre class="cython line score-5" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">19</span>: <span class="o">*</span> <span class="p">((</span><span class="n">tanh</span><span class="p">(</span><span class="n">eta</span> <span class="o">-</span> <span class="n">rap</span><span class="p">))</span> <span class="o">**</span> <span class="mf">2</span> <span class="o">+</span> <span class="mf">1</span><span class="p">)</span></pre>
|
||||
<pre class='cython code score-5 '> __pyx_t_1 = <span class='py_c_api'>PyFloat_FromDouble</span>((((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)));<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 19, __pyx_L1_error)</span>
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goto __pyx_L0;
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</pre><pre class="cython line score-0"> <span class="">20</span>: <span class="p">)</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">21</span>: </pre>
|
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<pre class="cython line score-92" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">22</span>: <span class="k">def</span> <span class="nf">pT</span><span class="p">(</span><span class="n">double</span> <span class="n">e_proton</span><span class="p">,</span> <span class="n">double</span> <span class="n">eta</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_1</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_2</span><span class="p">):</span></pre>
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<pre class='cython code score-92 '>/* Python wrapper */
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||||
static PyObject *__pyx_pw_6lab_xs_3pT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
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||||
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|
||||
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;
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double __pyx_v_x_2;
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PyObject *__pyx_r = 0;
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<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
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<span class='refnanny'>__Pyx_RefNannySetupContext</span>("pT (wrapper)", 0);
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{
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PyObject* values[4] = {0,0,0,0};
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if (unlikely(__pyx_kwds)) {
|
||||
Py_ssize_t kw_args;
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switch (pos_args) {
|
||||
case 4: values[3] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 3);
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||||
CYTHON_FALLTHROUGH;
|
||||
case 3: values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
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||||
CYTHON_FALLTHROUGH;
|
||||
case 2: values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
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||||
CYTHON_FALLTHROUGH;
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||||
case 1: values[0] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 0);
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||||
CYTHON_FALLTHROUGH;
|
||||
case 0: break;
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default: goto __pyx_L5_argtuple_error;
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||||
}
|
||||
kw_args = <span class='py_c_api'>PyDict_Size</span>(__pyx_kwds);
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switch (pos_args) {
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||||
case 0:
|
||||
if (likely((values[0] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_e_proton)) != 0)) kw_args--;
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||||
else goto __pyx_L5_argtuple_error;
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 1:
|
||||
if (likely((values[1] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_eta)) != 0)) kw_args--;
|
||||
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||||
<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("pT", 1, 4, 4, 1); <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
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||||
}
|
||||
CYTHON_FALLTHROUGH;
|
||||
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|
||||
if (likely((values[2] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_1)) != 0)) kw_args--;
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|
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<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("pT", 1, 4, 4, 2); <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
|
||||
}
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 3:
|
||||
if (likely((values[3] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_2)) != 0)) kw_args--;
|
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|
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<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("pT", 1, 4, 4, 3); <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
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}
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if (unlikely(kw_args > 0)) {
|
||||
if (unlikely(<span class='pyx_c_api'>__Pyx_ParseOptionalKeywords</span>(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "pT") < 0)) <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
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goto __pyx_L5_argtuple_error;
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||||
values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
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||||
values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
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||||
values[3] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 3);
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}
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||||
__pyx_v_e_proton = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[0]); if (unlikely((__pyx_v_e_proton == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
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}
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goto __pyx_L4_argument_unpacking_done;
|
||||
__pyx_L5_argtuple_error:;
|
||||
<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("pT", 1, 4, 4, <span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args)); <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L3_error)</span>
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__pyx_L3_error:;
|
||||
<span class='pyx_c_api'>__Pyx_AddTraceback</span>("lab_xs.pT", __pyx_clineno, __pyx_lineno, __pyx_filename);
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||||
<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
|
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return NULL;
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||||
__pyx_L4_argument_unpacking_done:;
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||||
__pyx_r = __pyx_pf_6lab_xs_2pT(__pyx_self, __pyx_v_e_proton, __pyx_v_eta, __pyx_v_x_1, __pyx_v_x_2);
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||||
/* function exit code */
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<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
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return __pyx_r;
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|
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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) {
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||||
double __pyx_v_tanh_eta;
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PyObject *__pyx_r = NULL;
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<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
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<span class='refnanny'>__Pyx_RefNannySetupContext</span>("pT", 0);
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/* … */
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/* function exit code */
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||||
__pyx_L1_error:;
|
||||
<span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_t_1);
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||||
<span class='pyx_c_api'>__Pyx_AddTraceback</span>("lab_xs.pT", __pyx_clineno, __pyx_lineno, __pyx_filename);
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||||
__pyx_r = NULL;
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__pyx_L0:;
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<span class='refnanny'>__Pyx_XGIVEREF</span>(__pyx_r);
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<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
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return __pyx_r;
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}
|
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/* … */
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__pyx_tuple__3 = <span class='py_c_api'>PyTuple_Pack</span>(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);<span class='error_goto'> if (unlikely(!__pyx_tuple__3)) __PYX_ERR(0, 22, __pyx_L1_error)</span>
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||||
<span class='refnanny'>__Pyx_GOTREF</span>(__pyx_tuple__3);
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||||
<span class='refnanny'>__Pyx_GIVEREF</span>(__pyx_tuple__3);
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/* … */
|
||||
__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_6lab_xs_3pT, NULL, __pyx_n_s_lab_xs);<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 22, __pyx_L1_error)</span>
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||||
<span class='refnanny'>__Pyx_GOTREF</span>(__pyx_t_1);
|
||||
if (<span class='py_c_api'>PyDict_SetItem</span>(__pyx_d, __pyx_n_s_pT, __pyx_t_1) < 0) <span class='error_goto'>__PYX_ERR(0, 22, __pyx_L1_error)</span>
|
||||
<span class='pyx_macro_api'>__Pyx_DECREF</span>(__pyx_t_1); __pyx_t_1 = 0;
|
||||
__pyx_codeobj__4 = (PyObject*)<span class='pyx_c_api'>__Pyx_PyCode_New</span>(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);<span class='error_goto'> if (unlikely(!__pyx_codeobj__4)) __PYX_ERR(0, 22, __pyx_L1_error)</span>
|
||||
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">23</span>: <span class="k">cdef</span> <span class="kt">double</span> <span class="nf">tanh_eta</span> <span class="o">=</span> <span class="n">tanh</span><span class="p">(</span><span class="n">eta</span><span class="p">)</span></pre>
|
||||
<pre class='cython code score-0 '> __pyx_v_tanh_eta = tanh(__pyx_v_eta);
|
||||
</pre><pre class="cython line score-1" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">24</span>: <span class="k">return</span> <span class="p">(</span></pre>
|
||||
<pre class='cython code score-1 '> <span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_r);
|
||||
</pre><pre class="cython line score-0"> <span class="">25</span>: <span class="mf">2</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">26</span>: <span class="o">*</span> <span class="n">e_proton</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">27</span>: <span class="o">*</span> <span class="n">x_1</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">28</span>: <span class="o">*</span> <span class="n">x_2</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">29</span>: <span class="o">/</span> <span class="p">(</span><span class="n">x_1</span> <span class="o">+</span> <span class="n">x_2</span> <span class="o">-</span> <span class="p">(</span><span class="n">x_1</span> <span class="o">-</span> <span class="n">x_2</span><span class="p">)</span> <span class="o">*</span> <span class="n">tanh_eta</span><span class="p">)</span></pre>
|
||||
<pre class="cython line score-5" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">30</span>: <span class="o">*</span> <span class="n">sqrt</span><span class="p">(</span><span class="mf">1</span> <span class="o">-</span> <span class="n">tanh_eta</span> <span class="o">**</span> <span class="mf">2</span><span class="p">)</span></pre>
|
||||
<pre class='cython code score-5 '> __pyx_t_1 = <span class='py_c_api'>PyFloat_FromDouble</span>((((((2.0 * __pyx_v_e_proton) * __pyx_v_x_1) * __pyx_v_x_2) / ((__pyx_v_x_1 + __pyx_v_x_2) - ((__pyx_v_x_1 - __pyx_v_x_2) * __pyx_v_tanh_eta))) * sqrt((1.0 - pow(__pyx_v_tanh_eta, 2.0)))));<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 30, __pyx_L1_error)</span>
|
||||
<span class='refnanny'>__Pyx_GOTREF</span>(__pyx_t_1);
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__pyx_r = __pyx_t_1;
|
||||
__pyx_t_1 = 0;
|
||||
goto __pyx_L0;
|
||||
</pre><pre class="cython line score-0"> <span class="">31</span>: <span class="p">)</span></pre>
|
||||
<pre class="cython line score-0"> <span class="">32</span>: </pre>
|
||||
<pre class="cython line score-0"> <span class="">33</span>: </pre>
|
||||
<pre class="cython line score-76" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">34</span>: <span class="k">def</span> <span class="nf">averaged_tchanel_q2</span><span class="p">(</span><span class="n">double</span> <span class="n">e_proton</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_1</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_2</span><span class="p">):</span></pre>
|
||||
<pre class='cython code score-76 '>/* Python wrapper */
|
||||
static PyObject *__pyx_pw_6lab_xs_5averaged_tchanel_q2(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
|
||||
static PyMethodDef __pyx_mdef_6lab_xs_5averaged_tchanel_q2 = {"averaged_tchanel_q2", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6lab_xs_5averaged_tchanel_q2, METH_VARARGS|METH_KEYWORDS, 0};
|
||||
static PyObject *__pyx_pw_6lab_xs_5averaged_tchanel_q2(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
|
||||
double __pyx_v_e_proton;
|
||||
double __pyx_v_x_1;
|
||||
double __pyx_v_x_2;
|
||||
PyObject *__pyx_r = 0;
|
||||
<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
|
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<span class='refnanny'>__Pyx_RefNannySetupContext</span>("averaged_tchanel_q2 (wrapper)", 0);
|
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{
|
||||
static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_e_proton,&__pyx_n_s_x_1,&__pyx_n_s_x_2,0};
|
||||
PyObject* values[3] = {0,0,0};
|
||||
if (unlikely(__pyx_kwds)) {
|
||||
Py_ssize_t kw_args;
|
||||
const Py_ssize_t pos_args = <span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args);
|
||||
switch (pos_args) {
|
||||
case 3: values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 2: values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 1: values[0] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 0);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 0: break;
|
||||
default: goto __pyx_L5_argtuple_error;
|
||||
}
|
||||
kw_args = <span class='py_c_api'>PyDict_Size</span>(__pyx_kwds);
|
||||
switch (pos_args) {
|
||||
case 0:
|
||||
if (likely((values[0] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_e_proton)) != 0)) kw_args--;
|
||||
else goto __pyx_L5_argtuple_error;
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 1:
|
||||
if (likely((values[1] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_1)) != 0)) kw_args--;
|
||||
else {
|
||||
<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("averaged_tchanel_q2", 1, 3, 3, 1); <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
|
||||
}
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 2:
|
||||
if (likely((values[2] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_2)) != 0)) kw_args--;
|
||||
else {
|
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<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("averaged_tchanel_q2", 1, 3, 3, 2); <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
|
||||
}
|
||||
}
|
||||
if (unlikely(kw_args > 0)) {
|
||||
if (unlikely(<span class='pyx_c_api'>__Pyx_ParseOptionalKeywords</span>(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "averaged_tchanel_q2") < 0)) <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
|
||||
}
|
||||
} else if (<span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args) != 3) {
|
||||
goto __pyx_L5_argtuple_error;
|
||||
} else {
|
||||
values[0] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 0);
|
||||
values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
|
||||
values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
|
||||
}
|
||||
__pyx_v_e_proton = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[0]); if (unlikely((__pyx_v_e_proton == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
|
||||
__pyx_v_x_1 = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[1]); if (unlikely((__pyx_v_x_1 == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
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__pyx_v_x_2 = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[2]); if (unlikely((__pyx_v_x_2 == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
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__pyx_L5_argtuple_error:;
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<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("averaged_tchanel_q2", 1, 3, 3, <span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args)); <span class='error_goto'>__PYX_ERR(0, 34, __pyx_L3_error)</span>
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<span class='pyx_c_api'>__Pyx_AddTraceback</span>("lab_xs.averaged_tchanel_q2", __pyx_clineno, __pyx_lineno, __pyx_filename);
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/* function exit code */
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<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
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<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
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<span class='refnanny'>__Pyx_RefNannySetupContext</span>("averaged_tchanel_q2", 0);
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/* … */
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/* function exit code */
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__pyx_L1_error:;
|
||||
<span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_t_1);
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|
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/* … */
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||||
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/* … */
|
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||||
<span class='pyx_macro_api'>__Pyx_DECREF</span>(__pyx_t_1); __pyx_t_1 = 0;
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|
||||
</pre><pre class="cython line score-6" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">35</span>: <span class="k">return</span> <span class="mf">2</span> <span class="o">*</span> <span class="n">x_1</span> <span class="o">*</span> <span class="n">x_2</span> <span class="o">*</span> <span class="n">e_proton</span> <span class="o">**</span> <span class="mf">2</span></pre>
|
||||
<pre class='cython code score-6 '> <span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_r);
|
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__pyx_t_1 = <span class='py_c_api'>PyFloat_FromDouble</span>((((2.0 * __pyx_v_x_1) * __pyx_v_x_2) * pow(__pyx_v_e_proton, 2.0)));<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 35, __pyx_L1_error)</span>
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__pyx_t_1 = 0;
|
||||
goto __pyx_L0;
|
||||
</pre><pre class="cython line score-0"> <span class="">36</span>: </pre>
|
||||
<pre class="cython line score-74" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">37</span>: <span class="k">def</span> <span class="nf">second_eta</span><span class="p">(</span><span class="n">double</span> <span class="n">eta</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_1</span><span class="p">,</span> <span class="n">double</span> <span class="n">x_2</span><span class="p">):</span></pre>
|
||||
<pre class='cython code score-74 '>/* Python wrapper */
|
||||
static PyObject *__pyx_pw_6lab_xs_7second_eta(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
|
||||
static PyMethodDef __pyx_mdef_6lab_xs_7second_eta = {"second_eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6lab_xs_7second_eta, METH_VARARGS|METH_KEYWORDS, 0};
|
||||
static PyObject *__pyx_pw_6lab_xs_7second_eta(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
|
||||
double __pyx_v_eta;
|
||||
double __pyx_v_x_1;
|
||||
double __pyx_v_x_2;
|
||||
PyObject *__pyx_r = 0;
|
||||
<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
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||||
<span class='refnanny'>__Pyx_RefNannySetupContext</span>("second_eta (wrapper)", 0);
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{
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||||
static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_eta,&__pyx_n_s_x_1,&__pyx_n_s_x_2,0};
|
||||
PyObject* values[3] = {0,0,0};
|
||||
if (unlikely(__pyx_kwds)) {
|
||||
Py_ssize_t kw_args;
|
||||
const Py_ssize_t pos_args = <span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args);
|
||||
switch (pos_args) {
|
||||
case 3: values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 2: values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 1: values[0] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 0);
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 0: break;
|
||||
default: goto __pyx_L5_argtuple_error;
|
||||
}
|
||||
kw_args = <span class='py_c_api'>PyDict_Size</span>(__pyx_kwds);
|
||||
switch (pos_args) {
|
||||
case 0:
|
||||
if (likely((values[0] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_eta)) != 0)) kw_args--;
|
||||
else goto __pyx_L5_argtuple_error;
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 1:
|
||||
if (likely((values[1] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_1)) != 0)) kw_args--;
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||||
else {
|
||||
<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("second_eta", 1, 3, 3, 1); <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
|
||||
}
|
||||
CYTHON_FALLTHROUGH;
|
||||
case 2:
|
||||
if (likely((values[2] = <span class='pyx_c_api'>__Pyx_PyDict_GetItemStr</span>(__pyx_kwds, __pyx_n_s_x_2)) != 0)) kw_args--;
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||||
else {
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<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("second_eta", 1, 3, 3, 2); <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
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}
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|
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if (unlikely(kw_args > 0)) {
|
||||
if (unlikely(<span class='pyx_c_api'>__Pyx_ParseOptionalKeywords</span>(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "second_eta") < 0)) <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
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||||
}
|
||||
} else if (<span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args) != 3) {
|
||||
goto __pyx_L5_argtuple_error;
|
||||
} else {
|
||||
values[0] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 0);
|
||||
values[1] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 1);
|
||||
values[2] = <span class='py_macro_api'>PyTuple_GET_ITEM</span>(__pyx_args, 2);
|
||||
}
|
||||
__pyx_v_eta = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[0]); if (unlikely((__pyx_v_eta == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
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||||
__pyx_v_x_1 = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[1]); if (unlikely((__pyx_v_x_1 == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
|
||||
__pyx_v_x_2 = __pyx_<span class='py_c_api'>PyFloat_AsDouble</span>(values[2]); if (unlikely((__pyx_v_x_2 == (double)-1) && <span class='py_c_api'>PyErr_Occurred</span>())) <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
|
||||
}
|
||||
goto __pyx_L4_argument_unpacking_done;
|
||||
__pyx_L5_argtuple_error:;
|
||||
<span class='pyx_c_api'>__Pyx_RaiseArgtupleInvalid</span>("second_eta", 1, 3, 3, <span class='py_macro_api'>PyTuple_GET_SIZE</span>(__pyx_args)); <span class='error_goto'>__PYX_ERR(0, 37, __pyx_L3_error)</span>
|
||||
__pyx_L3_error:;
|
||||
<span class='pyx_c_api'>__Pyx_AddTraceback</span>("lab_xs.second_eta", __pyx_clineno, __pyx_lineno, __pyx_filename);
|
||||
<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
|
||||
return NULL;
|
||||
__pyx_L4_argument_unpacking_done:;
|
||||
__pyx_r = __pyx_pf_6lab_xs_6second_eta(__pyx_self, __pyx_v_eta, __pyx_v_x_1, __pyx_v_x_2);
|
||||
|
||||
/* function exit code */
|
||||
<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
|
||||
return __pyx_r;
|
||||
}
|
||||
|
||||
static PyObject *__pyx_pf_6lab_xs_6second_eta(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_eta, double __pyx_v_x_1, double __pyx_v_x_2) {
|
||||
double __pyx_v_rap;
|
||||
PyObject *__pyx_r = NULL;
|
||||
<span class='refnanny'>__Pyx_RefNannyDeclarations</span>
|
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<span class='refnanny'>__Pyx_RefNannySetupContext</span>("second_eta", 0);
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||||
/* … */
|
||||
/* function exit code */
|
||||
__pyx_L1_error:;
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||||
<span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_t_1);
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||||
<span class='pyx_c_api'>__Pyx_AddTraceback</span>("lab_xs.second_eta", __pyx_clineno, __pyx_lineno, __pyx_filename);
|
||||
__pyx_r = NULL;
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<span class='refnanny'>__Pyx_XGIVEREF</span>(__pyx_r);
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<span class='refnanny'>__Pyx_RefNannyFinishContext</span>();
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return __pyx_r;
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|
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/* … */
|
||||
__pyx_tuple__7 = <span class='py_c_api'>PyTuple_Pack</span>(4, __pyx_n_s_eta, __pyx_n_s_x_1, __pyx_n_s_x_2, __pyx_n_s_rap);<span class='error_goto'> if (unlikely(!__pyx_tuple__7)) __PYX_ERR(0, 37, __pyx_L1_error)</span>
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__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_6lab_xs_7second_eta, NULL, __pyx_n_s_lab_xs);<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 37, __pyx_L1_error)</span>
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|
||||
<span class='pyx_macro_api'>__Pyx_DECREF</span>(__pyx_t_1); __pyx_t_1 = 0;
|
||||
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">38</span>: <span class="k">cdef</span> <span class="kt">double</span> <span class="nf">rap</span> <span class="o">=</span> <span class="n">atanh</span><span class="p">((</span><span class="n">x_1</span> <span class="o">-</span> <span class="n">x_2</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">x_1</span> <span class="o">+</span> <span class="n">x_2</span><span class="p">))</span></pre>
|
||||
<pre class='cython code score-0 '> __pyx_v_rap = atanh(((__pyx_v_x_1 - __pyx_v_x_2) / (__pyx_v_x_1 + __pyx_v_x_2)));
|
||||
</pre><pre class="cython line score-6" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">39</span>: <span class="k">return</span> <span class="p">(</span><span class="o">-</span><span class="n">eta</span> <span class="o">+</span> <span class="mf">2</span> <span class="o">*</span> <span class="n">rap</span><span class="p">)</span></pre>
|
||||
<pre class='cython code score-6 '> <span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_r);
|
||||
__pyx_t_1 = <span class='py_c_api'>PyFloat_FromDouble</span>(((-__pyx_v_eta) + (2.0 * __pyx_v_rap)));<span class='error_goto'> if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 39, __pyx_L1_error)</span>
|
||||
<span class='refnanny'>__Pyx_GOTREF</span>(__pyx_t_1);
|
||||
__pyx_r = __pyx_t_1;
|
||||
__pyx_t_1 = 0;
|
||||
goto __pyx_L0;
|
||||
</pre></div></body></html>
|
||||
|
|
@ -741,7 +741,7 @@ def sample_unweighted_array(
|
|||
@utility.numpy_cache("cache")
|
||||
def integrate_vegas_nd(
|
||||
f,
|
||||
interval,
|
||||
intervals,
|
||||
seed=None,
|
||||
num_increments=5,
|
||||
epsilon=1e-3,
|
||||
|
|
@ -779,12 +779,12 @@ def integrate_vegas_nd(
|
|||
:rtype: tuple
|
||||
|
||||
"""
|
||||
intervals = np.asarray(_process_interval(interval))
|
||||
ndim = len(interval)
|
||||
intervals = np.asarray(_process_interval(intervals))
|
||||
ndim = len(intervals)
|
||||
integration_volume = (intervals[:, 1] - intervals[:, 0]).prod()
|
||||
|
||||
if not isinstance(num_increments, collections.Iterable):
|
||||
num_increments = np.ones(ndim) * num_increments
|
||||
num_increments = np.ones(ndim).astype(int) * num_increments
|
||||
else:
|
||||
num_increments = np.asarray(num_increments)
|
||||
|
||||
|
|
@ -841,9 +841,16 @@ def integrate_vegas_nd(
|
|||
while True:
|
||||
vegas_iterations += 1
|
||||
new_increment_borders = []
|
||||
remainder = 0
|
||||
|
||||
for dim in range(ndim):
|
||||
increment_weights = generate_integral_steps(increment_borders.copy(), dim)
|
||||
nonzero_increments = increment_weights[increment_weights > 0]
|
||||
|
||||
remainder += (nonzero_increments.max() - nonzero_increments.min()) * len(
|
||||
nonzero_increments
|
||||
)
|
||||
|
||||
new_borders = reshuffle_increments_nd(
|
||||
increment_weights,
|
||||
num_increments[dim],
|
||||
|
|
@ -853,18 +860,7 @@ def integrate_vegas_nd(
|
|||
)
|
||||
new_increment_borders.append(new_borders)
|
||||
|
||||
remainder = np.array(
|
||||
[
|
||||
np.abs(
|
||||
(borders[1:-1] - old_borders[1:-1]) / (borders[0] - borders[-1])
|
||||
).max()
|
||||
for borders, old_borders in zip(
|
||||
new_increment_borders, increment_borders
|
||||
)
|
||||
]
|
||||
).max()
|
||||
|
||||
print(remainder)
|
||||
remainder /= ndim
|
||||
increment_borders = new_increment_borders
|
||||
if abs(remainder) < increment_epsilon:
|
||||
break
|
||||
|
|
|
|||
31
prog/python/qqgg/vegas_diagnostics.py
Normal file
31
prog/python/qqgg/vegas_diagnostics.py
Normal file
|
|
@ -0,0 +1,31 @@
|
|||
import matplotlib.pyplot as plt
|
||||
from mpl_toolkits.mplot3d import Axes3D
|
||||
from matplotlib import cm
|
||||
from monte_carlo import *
|
||||
|
||||
|
||||
def plot_cubes(f, increments):
|
||||
fig = plt.figure()
|
||||
ax = fig.add_subplot(111, projection="3d")
|
||||
cubes = generate_cubes(increments)
|
||||
for cube in cubes:
|
||||
x_range, y_range = cube
|
||||
xs, ys = np.mgrid[
|
||||
x_range[0] : x_range[1] : 0.01, y_range[0] : y_range[1] : 0.01,
|
||||
]
|
||||
|
||||
vol = get_integration_volume(cube)
|
||||
fun = f(xs, ys)
|
||||
|
||||
ax.plot_surface(xs, ys, fun * vol * len(cubes), cmap=cm.coolwarm, linewidth=0)
|
||||
ax.plot_surface(xs, ys, fun, cmap=cm.coolwarm, linewidth=0)
|
||||
# ax.plot_surface(xs, ys, np.ones_like(fun) / vol, cmap=cm.coolwarm, linewidth=0)
|
||||
|
||||
return fig, ax
|
||||
|
||||
|
||||
def test_f(f, *args, **kwargs):
|
||||
res = integrate_vegas_nd(f, *args, **kwargs)
|
||||
fig, ax = plot_cubes(f, res.increment_borders)
|
||||
plt.show()
|
||||
return res
|
||||
Loading…
Add table
Reference in a new issue