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      1 /*
      2  *  Copyright (c) 2014 The WebRTC project authors. All Rights Reserved.
      3  *
      4  *  Use of this source code is governed by a BSD-style license
      5  *  that can be found in the LICENSE file in the root of the source
      6  *  tree. An additional intellectual property rights grant can be found
      7  *  in the file PATENTS.  All contributing project authors may
      8  *  be found in the AUTHORS file in the root of the source tree.
      9  */
     10 
     11 #define _USE_MATH_DEFINES
     12 
     13 #include "webrtc/common_audio/window_generator.h"
     14 
     15 #include <cmath>
     16 #include <complex>
     17 
     18 #include "webrtc/base/checks.h"
     19 
     20 using std::complex;
     21 
     22 namespace {
     23 
     24 // Modified Bessel function of order 0 for complex inputs.
     25 complex<float> I0(complex<float> x) {
     26   complex<float> y = x / 3.75f;
     27   y *= y;
     28   return 1.0f + y * (
     29     3.5156229f + y * (
     30       3.0899424f + y * (
     31         1.2067492f + y * (
     32           0.2659732f + y * (
     33             0.360768e-1f + y * 0.45813e-2f)))));
     34 }
     35 
     36 }  // namespace
     37 
     38 namespace webrtc {
     39 
     40 void WindowGenerator::Hanning(int length, float* window) {
     41   RTC_CHECK_GT(length, 1);
     42   RTC_CHECK(window != nullptr);
     43   for (int i = 0; i < length; ++i) {
     44     window[i] = 0.5f * (1 - cosf(2 * static_cast<float>(M_PI) * i /
     45                                  (length - 1)));
     46   }
     47 }
     48 
     49 void WindowGenerator::KaiserBesselDerived(float alpha, size_t length,
     50                                           float* window) {
     51   RTC_CHECK_GT(length, 1U);
     52   RTC_CHECK(window != nullptr);
     53 
     54   const size_t half = (length + 1) / 2;
     55   float sum = 0.0f;
     56 
     57   for (size_t i = 0; i <= half; ++i) {
     58     complex<float> r = (4.0f * i) / length - 1.0f;
     59     sum += I0(static_cast<float>(M_PI) * alpha * sqrt(1.0f - r * r)).real();
     60     window[i] = sum;
     61   }
     62   for (size_t i = length - 1; i >= half; --i) {
     63     window[length - i - 1] = sqrtf(window[length - i - 1] / sum);
     64     window[i] = window[length - i - 1];
     65   }
     66   if (length % 2 == 1) {
     67     window[half - 1] = sqrtf(window[half - 1] / sum);
     68   }
     69 }
     70 
     71 }  // namespace webrtc
     72 
     73