-// Copyright 2004 "Gilles Degottex"
+// Copyright 2004 "Gilles Degottex", 2007 "Florian Hars"
// This file is part of "Music"
#include <CppAddons/CAMath.h>
#include <CppAddons/StringAddons.h>
+#include <iostream>
+
namespace Music
{
enum NotesName{LOCAL_ANGLO, LOCAL_LATIN};
inline int GetTonality() {return s_tonality;}
inline void SetTonality(int tonality) {s_tonality = tonality;}
+ enum Tuning{CHROMATIC,WERCKMEISTER3,KIRNBERGER3,DIATONIC,MEANTONE};
+ extern Tuning s_tuning;
+ extern double s_semitones[13];
+ inline Tuning GetTuning() {return s_tuning;}
+ void SetTuning(Tuning tuning);
+
+
extern int s_sampling_rate;
inline int GetSamplingRate() {return s_sampling_rate;}
void SetSamplingRate(int sampling_rate);
void AddSettingsListener(SettingsListener* l);
void RemoveSettingsListener(SettingsListener* l);
-//! convert frequency to a float number of half-tones from A3
-/*!
- * \param freq the frequency to convert to \f$\in R+\f$ {Hz}
- * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
- * \return the float number of half-tones from A3 \f$\in R\f$
- */
-inline double f2hf(double freq, double AFreq=GetAFreq()) {return 12.0*(log(freq)-log(AFreq))/log(2.0);}
-// TODO VERIF
-// le ht doit �re le ht le plus proche de freq !! et pas un simple arrondi en dessous de la valeur r�l !!
-//! convert frequency to number of half-tones from A3
-/*!
- * \param freq the frequency to convert to \f$\in R+\f$ {Hz}
- * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
- * \return the number of half-tones from A3. Rounded to the nearest half-tones(
- * not a simple integer convertion of \ref f2hf ) \f$\in R\f$
- */
-inline int f2h(double freq, double AFreq=GetAFreq())
-{
- double ht = f2hf(freq, AFreq);
- if(ht>0) return int(ht+0.5);
- if(ht<0) return int(ht-0.5);
- return 0;
-}
-//! convert number of half-tones to frequency
-/*!
- * \param ht number of half-tones to convert to \f$\in Z\f$
- * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
- * \return the converted frequency
- */
-inline double h2f(double ht, double AFreq=GetAFreq()) {return AFreq * pow(2.0, ht/12.0);}
-
-//! convert half-tones from A3 to the corresponding note name
-/*!
- * \param ht number of half-tones to convert to \f$\in Z\f$
- * \param local
- * \return his name (Do, Re, Mi, Fa, Sol, La, Si; with '#' if needed)
- */
-inline string h2n(int ht, NotesName local=GetNotesName(), int tonality=GetTonality(), bool show_oct=true)
-{
- ht += tonality;
-
- int oct = 4;
- while(ht<0)
+ //! convert frequency to a float number of chromatic half-tones from A3
+ /*!
+ * \param freq the frequency to convert to \f$\in R+\f$ {Hz}
+ * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
+ * \return the float number of half-tones from A3 \f$\in R\f$
+ */
+ inline double f2hf(double freq, double AFreq=GetAFreq())
+ {
+ return 17.3123404906675624 * log(freq/AFreq); //12.0*(log(freq)-log(AFreq))/log(2.0)
+ }
+ //! find the halftone in the array for non-chromatic tunings
+ // TODO:
+ // Decide wether the step from 12/2 for linar search to log_2(12) for a
+ // binary search really matters in a FFT-bound program
+ /*!
+ * \param relFreq the frequency divided by the frequency of the next lower A
+ * \return the number of halftones above this A
+ */
+ inline int f2h_find(double relFreq)
+ {
+ if (relFreq < s_semitones[1])
+ {
+ if (s_semitones[1] / relFreq > relFreq / s_semitones[0])
+ {
+ return 0;
+ }
+ else
+ {
+ return 1;
+ }
+ }
+ else
+ {
+ int i;
+ for (i = 2; i < 12; i += 1)
+ {
+ if (relFreq < s_semitones[i]) { break; }
+ }
+ if (s_semitones[i] / relFreq > relFreq / s_semitones[i - 1])
+ {
+ return i - 1;
+ }
+ else
+ {
+ return i;
+ }
+ }
+ }
+ // TODO VERIF
+ // le ht doit �re le ht le plus proche de freq !! et pas un simple arrondi en dessous de la valeur r�l !!
+ //! convert frequency to number of half-tones from A3
+ /*!
+ * \param freq the frequency to convert to \f$\in R+\f$ {Hz}
+ * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
+ * \return the number of half-tones from A3. Rounded to the nearest half-tones(
+ * not a simple integer convertion of \ref f2hf ) \f$\in R\f$
+ */
+ inline int f2h(double freq, double AFreq=GetAFreq(), int tuning=GetTuning())
+ {
+ if (CHROMATIC == tuning)
+ {
+ double ht = f2hf(freq, AFreq);
+ if(ht>0) return int(ht+0.5);
+ if(ht<0) return int(ht-0.5);
+ return 0;
+ }
+ else
+ {
+ if (freq <= 1.0) return UNDEFINED_SEMITONE;
+ int oct = 0;
+ while (freq < AFreq) { freq *= 2.0; oct -= 1; }
+ while (freq >= 2.0 * AFreq) { freq /= 2.0; oct += 1; }
+ int ht = f2h_find(freq/AFreq);
+ return (12 * oct + ht);
+ }
+ }
+ //! convert number of chromatic half-tones to frequency
+ /*!
+ * \param ht number of half-tones to convert to \f
+ * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
+ * \return the converted frequency
+ */
+ inline double h2f(double ht, double AFreq=GetAFreq())
{
- ht += 12;
- oct--;
+ return AFreq * pow(2.0, ht/12.0);
}
- while(ht>11)
+ //! convert number of half-tones to frequency
+ /*!
+ * \param ht number of half-tones to convert to \f$\in Z\f$
+ * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
+ * \return the converted frequency
+ */
+ inline double h2cf(int ht, double AFreq=GetAFreq(), int tuning=GetTuning())
{
- ht -= 12;
- oct++;
+ if (CHROMATIC == tuning)
+ {
+ return AFreq * pow(2.0, ht/12.0);
+ }
+ else if (ht >= s_semitone_min)
+ {
+ int oct = 0;
+ while(ht<0)
+ {
+ ht += 12;
+ oct--;
+ }
+ while(ht>11)
+ {
+ ht -= 12;
+ oct++;
+ }
+ return AFreq * pow(2.0, oct) * s_semitones[ht];
+ }
+ else
+ {
+ return 0.0;
+ }
+ }
+ //! convert frequency to the frequency of the nearest half tone
+ /*!
+ * \param freq the frequency to convert to \f$\in R+\f$ {Hz}
+ * \param AFreq tuning frequency of the A3 (Usualy 440) {Hz}
+ * \return the converted frequency
+ */
+ inline double f2cf(double freq, double AFreq=GetAFreq(), int tuning=GetTuning())
+ {
+ return h2cf(f2h(freq, AFreq, tuning), AFreq, tuning);
}
- if(ht>2) oct++; // octave start from C
-// if(oct<=0) oct--; // skip 0-octave in occidental notations ??
+ //! convert half-tones from A3 to the corresponding note name
+ /*!
+ * \param ht number of half-tone to convert to \f$\in Z\f$
+ * \param local
+ * \return its name (Do, Re, Mi, Fa, Sol, La, Si; with '#' or 'b' if needed)
+ */
+ inline string h2n(int ht, NotesName local=GetNotesName(), int tonality=GetTonality(), int tunig=GetTuning(), bool show_oct=true)
+ {
+ ht += tonality;
-// char coct[3];
-// sprintf(coct, "%d", oct);
-// string soct = coct;
+ int oct = 4;
+ while(ht<0)
+ {
+ ht += 12;
+ oct--;
+ }
+ while(ht>11)
+ {
+ ht -= 12;
+ oct++;
+ }
- string soct;
- if(show_oct)
- soct = StringAddons::toString(oct);
+ if(ht>2) oct++; // octave start from C
+ // if(oct<=0) oct--; // skip 0-octave in occidental notations ??
- if(local==LOCAL_ANGLO)
- {
- if(ht==0) return "A"+soct;
- else if(ht==1) return "A#"+soct;
- else if(ht==2) return "B"+soct;
- else if(ht==3) return "C"+soct;
- else if(ht==4) return "C#"+soct;
- else if(ht==5) return "D"+soct;
- else if(ht==6) return "D#"+soct;
- else if(ht==7) return "E"+soct;
- else if(ht==8) return "F"+soct;
- else if(ht==9) return "F#"+soct;
- else if(ht==10) return "G"+soct;
- else if(ht==11) return "G#"+soct;
+ // char coct[3];
+ // sprintf(coct, "%d", oct);
+ // string soct = coct;
+
+ string soct;
+ if(show_oct)
+ soct = StringAddons::toString(oct);
+
+ if(local==LOCAL_ANGLO)
+ {
+ if(ht==0) return "A"+soct;
+ else if(ht==1) return "Bb"+soct;
+ else if(ht==2) return "B"+soct;
+ else if(ht==3) return "C"+soct;
+ else if(ht==4) return "C#"+soct;
+ else if(ht==5) return "D"+soct;
+ else if(ht==6) return "Eb"+soct;
+ else if(ht==7) return "E"+soct;
+ else if(ht==8) return "F"+soct;
+ else if(ht==9) return "F#"+soct;
+ else if(ht==10) return "G"+soct;
+ else if(ht==11) return "G#"+soct;
+ }
+ else
+ {
+ if(ht==0) return "La"+soct;
+ else if(ht==1) return "Sib"+soct;
+ else if(ht==2) return "Si"+soct;
+ else if(ht==3) return "Do"+soct;
+ else if(ht==4) return "Do#"+soct;
+ else if(ht==5) return "Re"+soct;
+ else if(ht==6) return "Mib"+soct;
+ else if(ht==7) return "Mi"+soct;
+ else if(ht==8) return "Fa"+soct;
+ else if(ht==9) return "Fa#"+soct;
+ else if(ht==10) return "Sol"+soct;
+ else if(ht==11) return "Sol#"+soct;
+ }
+
+ return "Th#1138";
}
- else
+
+ inline int n2h(const std::string& note, NotesName local=LOCAL_ANGLO, int tonality=GetTonality())
{
- if(ht==0) return "La"+soct;
- else if(ht==1) return "La#"+soct;
- else if(ht==2) return "Si"+soct;
- else if(ht==3) return "Do"+soct;
- else if(ht==4) return "Do#"+soct;
- else if(ht==5) return "Re"+soct;
- else if(ht==6) return "Re#"+soct;
- else if(ht==7) return "Mi"+soct;
- else if(ht==8) return "Fa"+soct;
- else if(ht==9) return "Fa#"+soct;
- else if(ht==10) return "Sol"+soct;
- else if(ht==11) return "Sol#"+soct;
+ // TODO
+ return -1;
}
- return "Th#1138";
-}
-
-inline int n2h(const std::string& note, NotesName local=LOCAL_ANGLO, int tonality=GetTonality())
-{
- // TODO
- return -1;
-}
-
-std::vector<double> conv(const std::vector<double>& u, const std::vector<double>& v);
+ std::vector<double> conv(const std::vector<double>& u, const std::vector<double>& v);
// TODO freq reffinement
}
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