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<p><span style="border-bottom: solid 1px grey;">Generated by Cython 3.0.10</span></p>
<p>
<span style="background-color: #FFFF00">Yellow lines</span> hint at Python interaction.<br />
Click on a line that starts with a "<code>+</code>" to see the C code that Cython generated for it.
</p>
<p>Raw output: <a href="cython_sdft_functions.c">cython_sdft_functions.c</a></p>
<div class="cython"><pre class="cython line score-8" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">001</span>: #cython: language_level=3, boundscheck=False, wraparound=False</pre>
<pre class='cython code score-8 '> __pyx_t_4 = <span class='pyx_c_api'>__Pyx_PyDict_NewPresized</span>(0);<span class='error_goto'> if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1, __pyx_L1_error)</span>
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</pre><pre class="cython line score-0"> <span class="">002</span>: </pre>
<pre class="cython line score-0"> <span class="">003</span>: from libc.math cimport exp, pi, cos, sin</pre>
<pre class="cython line score-0"> <span class="">004</span>: from libc.complex cimport complex</pre>
<pre class="cython line score-0"> <span class="">005</span>: cimport numpy as np</pre>
<pre class="cython line score-8" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">006</span>: import numpy as np</pre>
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</pre><pre class="cython line score-0"> <span class="">007</span>: from cython.parallel import prange, parallel</pre>
<pre class="cython line score-0"> <span class="">008</span>: from libc.stdlib cimport malloc, free</pre>
<pre class="cython line score-31" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">009</span>: from typing import List, Dict</pre>
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</pre><pre class="cython line score-0"> <span class="">010</span>: </pre>
<pre class="cython line score-0"> <span class="">011</span>: # Custom lfilter in Cython</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">012</span>: cdef void cython_lfilter(complex *B, complex *A, complex *x, complex *y, int n):</pre>
<pre class='cython code score-0 '>static void __pyx_f_21cython_sdft_functions_cython_lfilter(__pyx_t_double_complex *__pyx_v_B, __pyx_t_double_complex *__pyx_v_A, __pyx_t_double_complex *__pyx_v_x, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_n) {
int __pyx_v_i;
int __pyx_v_j;
__pyx_t_double_complex __pyx_v_sum_val;
/* … */
/* function exit code */
}
</pre><pre class="cython line score-0"> <span class="">013</span>: cdef int i, j</pre>
<pre class="cython line score-0"> <span class="">014</span>: cdef complex sum_val</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">015</span>: for i in range(n):</pre>
<pre class='cython code score-0 '> __pyx_t_1 = __pyx_v_n;
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">016</span>: sum_val = 0</pre>
<pre class='cython code score-0 '> __pyx_v_sum_val = __pyx_t_double_complex_from_parts(0, 0);
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">017</span>: for j in range(4): # B has 4 elements</pre>
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">021</span>: for j in range(1, 3): # A has 3 elements, and A[0] is 1 so we skip it</pre>
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">023</span>: continue</pre>
<pre class='cython code score-0 '> goto __pyx_L8_continue;
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">024</span>: sum_val -= A[j] * y[i - j]</pre>
<pre class='cython code score-0 '> __pyx_v_sum_val = __Pyx_c_diff_double(__pyx_v_sum_val, __Pyx_c_prod_double((__pyx_v_A[__pyx_v_j]), (__pyx_v_y[(__pyx_v_i - __pyx_v_j)])));
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">025</span>: y[i] = sum_val</pre>
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</pre><pre class="cython line score-0"> <span class="">026</span>: </pre>
<pre class="cython line score-0"> <span class="">027</span>: # Simple convolution to compute norm_factor</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">028</span>: cdef void compute_norm_factor(complex *A, complex *norm_factor, int n):</pre>
<pre class='cython code score-0 '>static void __pyx_f_21cython_sdft_functions_compute_norm_factor(__pyx_t_double_complex *__pyx_v_A, __pyx_t_double_complex *__pyx_v_norm_factor, int __pyx_v_n) {
int __pyx_v_i;
int __pyx_v_j;
/* … */
/* function exit code */
}
</pre><pre class="cython line score-0"> <span class="">029</span>: cdef int i, j</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">030</span>: for i in range(n):</pre>
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">031</span>: norm_factor[i] = 0</pre>
<pre class='cython code score-0 '> (__pyx_v_norm_factor[__pyx_v_i]) = __pyx_t_double_complex_from_parts(0, 0);
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">035</span>: norm_factor[i] += A[j]</pre>
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</pre><pre class="cython line score-0"> <span class="">036</span>: </pre>
<pre class="cython line score-116" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">037</span>: cpdef cython_stable_sdft(complex[::1] signal, int N, int k):</pre>
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</pre><pre class="cython line score-0"> <span class="">038</span>: """</pre>
<pre class="cython line score-0"> <span class="">039</span>: Compute the Stable SDFT Network (SDFT) of a given signal at frequency bin k.</pre>
<pre class="cython line score-0"> <span class="">040</span>: """</pre>
<pre class="cython line score-2" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">041</span>: cdef int n = len(signal)</pre>
<pre class='cython code score-2 '> __pyx_t_1 = <span class='pyx_c_api'>__Pyx_MemoryView_Len</span>(__pyx_v_signal);
__pyx_v_n = __pyx_t_1;
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">042</span>: cdef complex *y = <complex *> malloc(n * sizeof(complex))</pre>
<pre class='cython code score-0 '> __pyx_v_y = ((__pyx_t_double_complex *)malloc((__pyx_v_n * (sizeof(__pyx_t_double_complex)))));
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">043</span>: cdef complex *norm_factor = <complex *> malloc(n * sizeof(complex))</pre>
<pre class='cython code score-0 '> __pyx_v_norm_factor = ((__pyx_t_double_complex *)malloc((__pyx_v_n * (sizeof(__pyx_t_double_complex)))));
</pre><pre class="cython line score-0"> <span class="">044</span>: cdef complex exp_factor, cos_factor</pre>
<pre class="cython line score-0"> <span class="">045</span>: cdef complex B[4]</pre>
<pre class="cython line score-0"> <span class="">046</span>: cdef complex A[3]</pre>
<pre class="cython line score-0"> <span class="">047</span>: cdef int i</pre>
<pre class="cython line score-0"> <span class="">048</span>: </pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">049</span>: if y is NULL or norm_factor is NULL:</pre>
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/* … */
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</pre><pre class="cython line score-10" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">050</span>: raise MemoryError("Could not allocate buffer.")</pre>
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<pre class="cython line score-12" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">052</span>: exp_factor = <complex> (cos(2 * pi * k / N) + 1j * sin(2 * pi * k / N))</pre>
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__pyx_v_exp_factor = __pyx_t_double_complex_from_parts(((double)<span class='pyx_macro_api'>__Pyx_CREAL</span>(__pyx_t_7)), ((double)<span class='pyx_macro_api'>__Pyx_CIMAG</span>(__pyx_t_7)));
</pre><pre class="cython line score-5" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">053</span>: cos_factor = -2 * cos(2 * pi * k / N)</pre>
<pre class='cython code score-5 '> __pyx_t_6 = ((2.0 * M_PI) * __pyx_v_k);
if (unlikely(__pyx_v_N == 0)) {
<span class='py_c_api'>PyErr_SetString</span>(PyExc_ZeroDivisionError, "float division");
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</pre><pre class="cython line score-0"> <span class="">054</span>: </pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">055</span>: B[0] = exp_factor</pre>
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">056</span>: B[1] = -1</pre>
<pre class='cython code score-0 '> (__pyx_v_B[1]) = __pyx_t_double_complex_from_parts(-1L, 0);
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">057</span>: B[2] = -exp_factor</pre>
<pre class='cython code score-0 '> (__pyx_v_B[2]) = __Pyx_c_neg_double(__pyx_v_exp_factor);
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">058</span>: B[3] = 1</pre>
<pre class='cython code score-0 '> (__pyx_v_B[3]) = __pyx_t_double_complex_from_parts(1, 0);
</pre><pre class="cython line score-0"> <span class="">059</span>: </pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">060</span>: A[0] = 1</pre>
<pre class='cython code score-0 '> (__pyx_v_A[0]) = __pyx_t_double_complex_from_parts(1, 0);
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">061</span>: A[1] = cos_factor</pre>
<pre class='cython code score-0 '> (__pyx_v_A[1]) = __pyx_v_cos_factor;
</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">062</span>: A[2] = 1</pre>
<pre class='cython code score-0 '> (__pyx_v_A[2]) = __pyx_t_double_complex_from_parts(1, 0);
</pre><pre class="cython line score-0"> <span class="">063</span>: </pre>
<pre class="cython line score-0"> <span class="">064</span>: # Call to our optimised cython_lfilter</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">065</span>: cython_lfilter(&B[0], &A[0], &signal[0], y, n)</pre>
<pre class='cython code score-0 '> __pyx_t_8 = 0;
__pyx_f_21cython_sdft_functions_cython_lfilter((&(__pyx_v_B[0])), (&(__pyx_v_A[0])), (&(*((__pyx_t_double_complex *) ( /* dim=0 */ ((char *) (((__pyx_t_double_complex *) __pyx_v_signal.data) + __pyx_t_8)) )))), __pyx_v_y, __pyx_v_n);<span class='error_goto'> if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 65, __pyx_L1_error)</span>
</pre><pre class="cython line score-0"> <span class="">066</span>: </pre>
<pre class="cython line score-0"> <span class="">067</span>: # Compute norm_factor</pre>
<pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">068</span>: compute_norm_factor(A, norm_factor, n)</pre>
<pre class='cython code score-0 '> __pyx_f_21cython_sdft_functions_compute_norm_factor(__pyx_v_A, __pyx_v_norm_factor, __pyx_v_n);<span class='error_goto'> if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 68, __pyx_L1_error)</span>
</pre><pre class="cython line score-0"> <span class="">069</span>: </pre>
<pre class="cython line score-0"> <span class="">070</span>: # Releasing the GIL for the division operation</pre>
<pre class="cython line score-6" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">071</span>: with nogil, parallel():</pre>
<pre class='cython code score-6 '> {
#ifdef WITH_THREAD
PyThreadState *_save;
_save = NULL;
Py_UNBLOCK_THREADS
<span class='pyx_c_api'>__Pyx_FastGIL_Remember</span>();
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">072</span>: for i in prange(n):</pre>
<pre class='cython code score-0 '> __pyx_t_9 = __pyx_v_n;
{
__pyx_t_11 = (__pyx_t_9 - 0 + 1 - 1/abs(1)) / 1;
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for (__pyx_t_10 = 0; __pyx_t_10 < __pyx_t_11; __pyx_t_10++){
{
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">073</span>: if norm_factor[i] == 0:</pre>
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/* … */
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</pre><pre class="cython line score-0" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">074</span>: norm_factor[i] = 1e-30 # Replace zeros to avoid division by zero</pre>
<pre class='cython code score-0 '> (__pyx_v_norm_factor[__pyx_v_i]) = __pyx_t_double_complex_from_parts(1e-30, 0);
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goto __pyx_L19;
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</pre><pre class="cython line score-0"> <span class="">076</span>: </pre>
<pre class="cython line score-0"> <span class="">077</span>: # Copy data back to a NumPy array</pre>
<pre class="cython line score-31" onclick="(function(s){s.display=s.display==='block'?'none':'block'})(this.nextElementSibling.style)">+<span class="">078</span>: cdef np.ndarray[complex, ndim=1] result = np.empty(n, dtype=complex)</pre>
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<pre class="cython line score-0"> <span class="">088</span>: </pre>
<pre class="cython line score-0"> <span class="">089</span>: # Cython version of SDFT</pre>
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