Flute acoustics: measurement, modelling and design - School of ...

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234 APPENDIX B. PROGRAM LISTINGS 6.8 6.8 52.3 6.5 5.1 6.8 6.8 6.7 36.7 5.2 5.0 6.7 6.7 6.7 39.2
APPENDIX B. PROGRAM LISTINGS 235 /* Complex.h By Andrew Botros, 2000-2004 Listing B.8: Complex.h Hyperbolic trig fns and expz added by Paul Dickens, 2005 Complex arithmetic library. */ #ifndef COMPLEX_H_PROTECTOR #define COMPLEX_H_PROTECTOR /* complex: { Re(z), Im(z) } */ typedef struct complex_str { double Re; double Im; } complex; /* externally defined complex numbers zero, one, j and inf for convenience */ extern complex zero; extern complex one; extern complex j; extern complex inf; double modz(complex z); /* Parameters: z: given complex number. Returns: |z| ... Modulus of z */ double argz(complex z); /* Parameters: z: given complex number. Returns: arg z ... Principal arg of z */ int equalz(complex z1, complex z2); /* Parameters: z1: given complex number. z2: given complex number. Returns: 1 if z1 equals z2, 0 otherwise. */ complex real(double x); /* Parameters: x: given double.
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Flute acoustics: measurement, model
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To Renée iii
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vi I am grateful to my parents, Ros
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viii
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x 4.4 Conclusions and further direc
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2 CHAPTER 1. INTRODUCTION and the p
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4 CHAPTER 1. INTRODUCTION Figure 1.
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6 CHAPTER 1. INTRODUCTION 1.5 ACOUS
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8 CHAPTER 1. INTRODUCTION ‘in-tun
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10 CHAPTER 1. INTRODUCTION
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12 CHAPTER 2. THEORY AND LITERATURE
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k = ω c and pressure given by p(x,
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32 CHAPTER 3. MEASURING ACOUSTIC IM
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54 CHAPTER 4. FINGER HOLE IMPEDANCE
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98 CHAPTER 6. MATERIAL AND SURFACE
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104 CHAPTER 7. THE EMBOUCHURE HOLE
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112 CHAPTER 8. SOFTWARE IMPLEMENTAT
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128 CHAPTER 9. APPLICATIONS AND FUR
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142 APPENDIX A. IMPEDANCE SPECTRA C
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146 APPENDIX A. IMPEDANCE SPECTRA A
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150 APPENDIX A. IMPEDANCE SPECTRA D
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336 APPENDIX B. PROGRAM LISTINGS Li
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338 APPENDIX C. QUANTIFYING MUSIC s
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340 REFERENCES Botros, A., Smith, J
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342 REFERENCES Kob, M. & Neuschaefe
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