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1 /* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
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2
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3 /*
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4 Sonic Visualiser
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5 An audio file viewer and annotation editor.
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6 Centre for Digital Music, Queen Mary, University of London.
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7 This file copyright 2006 Chris Cannam.
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8
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9 This program is free software; you can redistribute it and/or
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10 modify it under the terms of the GNU General Public License as
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11 published by the Free Software Foundation; either version 2 of the
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12 License, or (at your option) any later version. See the file
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13 COPYING included with this distribution for more information.
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14 */
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15
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16 #ifndef _WINDOW_H_
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17 #define _WINDOW_H_
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18
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19 #include <cmath>
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20 #include <iostream>
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21 #include <map>
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22
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23 enum WindowType {
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24 RectangularWindow,
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25 BartlettWindow,
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26 HammingWindow,
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27 HanningWindow,
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28 BlackmanWindow,
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29 GaussianWindow,
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30 ParzenWindow,
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31 NuttallWindow,
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32 BlackmanHarrisWindow
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33 };
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34
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35 template <typename T>
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36 class Window
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37 {
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38 public:
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39 /**
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40 * Construct a windower of the given type.
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41 */
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42 Window(WindowType type, size_t size) : m_type(type), m_size(size) { encache(); }
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43 Window(const Window &w) : m_type(w.m_type), m_size(w.m_size) { encache(); }
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44 Window &operator=(const Window &w) {
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45 if (&w == this) return *this;
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46 m_type = w.m_type;
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47 m_size = w.m_size;
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48 encache();
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49 return *this;
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50 }
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51 virtual ~Window() { delete[] m_cache; }
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52
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53 void cut(T *src) const { cut(src, src); }
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54 void cut(T *src, T *dst) const {
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55 for (size_t i = 0; i < m_size; ++i) dst[i] = src[i] * m_cache[i];
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56 }
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57
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58 T getArea() { return m_area; }
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59 T getValue(size_t i) { return m_cache[i]; }
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60
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61 WindowType getType() const { return m_type; }
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62 size_t getSize() const { return m_size; }
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63
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64 protected:
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65 WindowType m_type;
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66 size_t m_size;
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67 T *m_cache;
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68 T m_area;
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69
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70 void encache();
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71 void cosinewin(T *, T, T, T, T);
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72 };
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73
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74 template <typename T>
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75 void Window<T>::encache()
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76 {
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77 int n = int(m_size);
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78 T *mult = new T[n];
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79 int i;
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80 for (i = 0; i < n; ++i) mult[i] = 1.0;
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81
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82 switch (m_type) {
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83
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84 case RectangularWindow:
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85 for (i = 0; i < n; ++i) {
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86 mult[i] *= 0.5;
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87 }
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88 break;
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89
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90 case BartlettWindow:
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91 for (i = 0; i < n/2; ++i) {
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92 mult[i] *= (i / T(n/2));
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93 mult[i + n/2] *= (1.0 - (i / T(n/2)));
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94 }
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95 break;
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96
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97 case HammingWindow:
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98 cosinewin(mult, 0.54, 0.46, 0.0, 0.0);
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99 break;
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100
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101 case HanningWindow:
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102 cosinewin(mult, 0.50, 0.50, 0.0, 0.0);
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103 break;
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104
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105 case BlackmanWindow:
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106 cosinewin(mult, 0.42, 0.50, 0.08, 0.0);
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107 break;
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108
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109 case GaussianWindow:
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110 for (i = 0; i < n; ++i) {
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111 mult[i] *= pow(2, - pow((i - (n-1)/2.0) / ((n-1)/2.0 / 3), 2));
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112 }
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113 break;
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114
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115 case ParzenWindow:
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116 {
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117 int N = n-1;
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118 for (i = 0; i < N/4; ++i) {
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119 T m = 2 * pow(1.0 - (T(N)/2 - i) / (T(N)/2), 3);
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120 mult[i] *= m;
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121 mult[N-i] *= m;
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122 }
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123 for (i = N/4; i <= N/2; ++i) {
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124 int wn = i - N/2;
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125 T m = 1.0 - 6 * pow(wn / (T(N)/2), 2) * (1.0 - abs(wn) / (T(N)/2));
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126 mult[i] *= m;
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127 mult[N-i] *= m;
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128 }
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129 break;
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130 }
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131
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132 case NuttallWindow:
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133 cosinewin(mult, 0.3635819, 0.4891775, 0.1365995, 0.0106411);
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134 break;
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135
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136 case BlackmanHarrisWindow:
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137 cosinewin(mult, 0.35875, 0.48829, 0.14128, 0.01168);
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138 break;
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139 }
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140
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141 m_cache = mult;
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142
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143 m_area = 0;
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144 for (int i = 0; i < n; ++i) {
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145 m_area += m_cache[i];
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146 }
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147 m_area /= n;
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148 }
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149
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150 template <typename T>
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151 void Window<T>::cosinewin(T *mult, T a0, T a1, T a2, T a3)
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152 {
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153 int n = int(m_size);
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154 for (int i = 0; i < n; ++i) {
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155 mult[i] *= (a0
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156 - a1 * cos(2 * M_PI * i / n)
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157 + a2 * cos(4 * M_PI * i / n)
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158 - a3 * cos(6 * M_PI * i / n));
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159 }
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160 }
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161
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162 #endif
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