2 Copyright (C) 2000 Paul Davis
4 This program is free software; you can redistribute it and/or modify
5 it under the terms of the GNU General Public License as published by
6 the Free Software Foundation; either version 2 of the License, or
7 (at your option) any later version.
9 This program is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 GNU General Public License for more details.
14 You should have received a copy of the GNU General Public License
15 along with this program; if not, write to the Free Software
16 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
20 #ifndef __ardour_tempo_h__
21 #define __ardour_tempo_h__
27 #include <glibmm/threads.h>
31 #include "pbd/stateful.h"
32 #include "pbd/statefuldestructible.h"
34 #include "evoral/Beats.hpp"
36 #include "ardour/ardour.h"
39 class FrameposPlusBeatsTest;
40 class FrameposMinusBeatsTest;
49 /** Tempo, the speed at which musical time progresses (BPM). */
50 class LIBARDOUR_API Tempo {
53 * @param npm Note Types per minute
54 * @param type Note Type (default `4': quarter note)
56 Tempo (double npm, double type=4.0) // defaulting to quarter note
57 : _note_types_per_minute (npm), _note_type (type), _end_note_types_per_minute (npm) {}
58 Tempo (double start_npm, double type, double end_npm)
59 : _note_types_per_minute (start_npm), _note_type (type), _end_note_types_per_minute (end_npm) {}
61 double note_types_per_minute () const { return _note_types_per_minute; }
62 double note_types_per_minute (double note_type) const { return (_note_types_per_minute / _note_type) * note_type; }
63 void set_note_types_per_minute (double npm) { _note_types_per_minute = npm; }
64 double note_type () const { return _note_type; }
66 double quarter_notes_per_minute () const { return note_types_per_minute (4.0); }
67 double pulses_per_minute () const { return note_types_per_minute (1.0); }
69 double end_note_types_per_minute () const { return _end_note_types_per_minute; }
70 double end_note_types_per_minute (double note_type) const { return (_end_note_types_per_minute / _note_type) * note_type; }
71 void set_end_note_types_per_minute (double npm) { _end_note_types_per_minute = npm; }
73 double end_quarter_notes_per_minute () const { return end_note_types_per_minute (4.0); }
74 double end_pulses_per_minute () const { return end_note_types_per_minute (1.0); }
76 /** audio samples per note type.
77 * if you want an instantaneous value for this, use TempoMap::frames_per_quarter_note_at() instead.
78 * @param sr samplerate
80 double frames_per_note_type (framecnt_t sr) const {
81 return (60.0 * sr) / _note_types_per_minute;
83 /** audio samples per quarter note.
84 * if you want an instantaneous value for this, use TempoMap::frames_per_quarter_note_at() instead.
85 * @param sr samplerate
87 double frames_per_quarter_note (framecnt_t sr) const {
88 return (60.0 * sr) / quarter_notes_per_minute ();
92 double _note_types_per_minute;
94 double _end_note_types_per_minute;
97 /** Meter, or time signature (beats per bar, and which note type is a beat). */
98 class LIBARDOUR_API Meter {
100 Meter (double dpb, double bt)
101 : _divisions_per_bar (dpb), _note_type (bt) {}
103 double divisions_per_bar () const { return _divisions_per_bar; }
104 double note_divisor() const { return _note_type; }
106 double frames_per_bar (const Tempo&, framecnt_t sr) const;
107 double frames_per_grid (const Tempo&, framecnt_t sr) const;
109 inline bool operator==(const Meter& other)
110 { return _divisions_per_bar == other.divisions_per_bar() && _note_type == other.note_divisor(); }
113 /** The number of divisions in a bar. This is a floating point value because
114 there are musical traditions on our planet that do not limit
115 themselves to integral numbers of beats per bar.
117 double _divisions_per_bar;
119 /** The type of "note" that a division represents. For example, 4.0 is
120 a quarter (crotchet) note, 8.0 is an eighth (quaver) note, etc.
125 /** A section of timeline with a certain Tempo or Meter. */
126 class LIBARDOUR_API MetricSection {
128 MetricSection (double pulse, double minute, PositionLockStyle pls, bool is_tempo, framecnt_t sample_rate)
129 : _pulse (pulse), _minute (minute), _initial (false), _position_lock_style (pls), _is_tempo (is_tempo), _sample_rate (sample_rate) {}
131 virtual ~MetricSection() {}
133 const double& pulse () const { return _pulse; }
134 void set_pulse (double pulse) { _pulse = pulse; }
136 double minute() const { return _minute; }
137 virtual void set_minute (double m) {
141 framepos_t frame () const { return frame_at_minute (_minute); }
143 void set_initial (bool yn) { _initial = yn; }
144 bool initial() const { return _initial; }
146 /* MeterSections are not stateful in the full sense,
147 but we do want them to control their own
148 XML state information.
150 virtual XMLNode& get_state() const = 0;
152 PositionLockStyle position_lock_style () const { return _position_lock_style; }
153 void set_position_lock_style (PositionLockStyle ps) { _position_lock_style = ps; }
154 bool is_tempo () const { return _is_tempo; }
156 framepos_t frame_at_minute (const double& time) const;
157 double minute_at_frame (const framepos_t& frame) const;
164 PositionLockStyle _position_lock_style;
165 const bool _is_tempo;
166 framecnt_t _sample_rate;
169 /** A section of timeline with a certain Meter. */
170 class LIBARDOUR_API MeterSection : public MetricSection, public Meter {
172 MeterSection (double pulse, double minute, double beat, const Timecode::BBT_Time& bbt, double bpb, double note_type, PositionLockStyle pls, framecnt_t sr)
173 : MetricSection (pulse, minute, pls, false, sr), Meter (bpb, note_type), _bbt (bbt), _beat (beat) {}
175 MeterSection (const XMLNode&, const framecnt_t sample_rate);
177 static const std::string xml_state_node_name;
179 XMLNode& get_state() const;
181 void set_beat (std::pair<double, Timecode::BBT_Time>& w) {
186 const Timecode::BBT_Time& bbt() const { return _bbt; }
187 const double& beat () const { return _beat; }
188 void set_beat (double beat) { _beat = beat; }
191 Timecode::BBT_Time _bbt;
195 /** A section of timeline with a certain Tempo. */
196 class LIBARDOUR_API TempoSection : public MetricSection, public Tempo {
203 TempoSection (const double& pulse, const double& minute, Tempo tempo, PositionLockStyle pls, framecnt_t sr)
204 : MetricSection (pulse, minute, pls, true, sr), Tempo (tempo), _c (0.0), _active (true), _locked_to_meter (false) {}
206 TempoSection (const XMLNode&, const framecnt_t sample_rate);
208 static const std::string xml_state_node_name;
210 XMLNode& get_state() const;
212 double c () const { return _c; }
213 void set_c (double c) { _c = c; }
215 Type type () const { if (note_types_per_minute() == end_note_types_per_minute()) { return Constant; } else { return Ramp; } }
217 bool active () const { return _active; }
218 void set_active (bool yn) { _active = yn; }
220 bool locked_to_meter () const { return _locked_to_meter; }
221 void set_locked_to_meter (bool yn) { _locked_to_meter = yn; }
223 Tempo tempo_at_minute (const double& minute) const;
224 double minute_at_ntpm (const double& ntpm, const double& pulse) const;
226 Tempo tempo_at_pulse (const double& pulse) const;
227 double pulse_at_ntpm (const double& ntpm, const double& minute) const;
229 double pulse_at_minute (const double& minute) const;
230 double minute_at_pulse (const double& pulse) const;
232 double compute_c_pulse (const double& end_ntpm, const double& end_pulse) const;
233 double compute_c_minute (const double& end_ntpm, const double& end_minute) const;
235 double pulse_at_frame (const framepos_t& frame) const;
236 framepos_t frame_at_pulse (const double& pulse) const;
238 Timecode::BBT_Time legacy_bbt () { return _legacy_bbt; }
239 bool legacy_end () { return _legacy_end; }
243 /* tempo ramp functions. zero-based with time in minutes,
244 * 'tick tempo' in ticks per minute and tempo in bpm.
245 * time relative to section start.
247 double a_func (double end_tpm, double c_func) const;
248 double c_func (double end_tpm, double end_time) const;
250 double _tempo_at_time (const double& time) const;
251 double _time_at_tempo (const double& tempo) const;
253 double _tempo_at_pulse (const double& pulse) const;
254 double _pulse_at_tempo (const double& tempo) const;
256 double _pulse_at_time (const double& time) const;
257 double _time_at_pulse (const double& pulse) const;
259 /* this value provides a fractional offset into the bar in which
260 the tempo section is located in. A value of 0.0 indicates that
261 it occurs on the first beat of the bar, a value of 0.5 indicates
262 that it occurs halfway through the bar and so on.
264 this enables us to keep the tempo change at the same relative
265 position within the bar if/when the meter changes.
269 bool _locked_to_meter;
270 Timecode::BBT_Time _legacy_bbt;
274 typedef std::list<MetricSection*> Metrics;
276 /** Helper class to keep track of the Meter *AND* Tempo in effect
277 at a given point in time.
279 class LIBARDOUR_API TempoMetric {
281 TempoMetric (const Meter& m, const Tempo& t)
282 : _meter (&m), _tempo (&t), _minute (0.0), _pulse (0.0) {}
284 void set_tempo (const Tempo& t) { _tempo = &t; }
285 void set_meter (const Meter& m) { _meter = &m; }
286 void set_minute (double m) { _minute = m; }
287 void set_pulse (const double& p) { _pulse = p; }
289 void set_metric (const MetricSection* section) {
290 const MeterSection* meter;
291 const TempoSection* tempo;
292 if ((meter = dynamic_cast<const MeterSection*>(section))) {
294 } else if ((tempo = dynamic_cast<const TempoSection*>(section))) {
298 set_minute (section->minute());
299 set_pulse (section->pulse());
302 const Meter& meter() const { return *_meter; }
303 const Tempo& tempo() const { return *_tempo; }
304 double minute() const { return _minute; }
305 const double& pulse() const { return _pulse; }
314 /** Tempo Map - mapping of timecode to musical time.
315 * convert audio-samples, sample-rate to Bar/Beat/Tick, Meter/Tempo
317 class LIBARDOUR_API TempoMap : public PBD::StatefulDestructible
320 TempoMap (framecnt_t frame_rate);
321 TempoMap (TempoMap const &);
324 TempoMap& operator= (TempoMap const &);
326 /* measure-based stuff */
341 BBTPoint (const MeterSection& m, const Tempo& t, framepos_t f,
342 uint32_t b, uint32_t e, double func_c)
343 : frame (f), meter (m.divisions_per_bar(), m.note_divisor()), tempo (t.note_types_per_minute(), t.note_type(), t.end_note_types_per_minute()), c (func_c), bar (b), beat (e) {}
345 Timecode::BBT_Time bbt() const { return Timecode::BBT_Time (bar, beat, 0); }
346 operator Timecode::BBT_Time() const { return bbt(); }
347 operator framepos_t() const { return frame; }
348 bool is_bar() const { return beat == 1; }
351 template<class T> void apply_with_metrics (T& obj, void (T::*method)(const Metrics&)) {
352 Glib::Threads::RWLock::ReaderLock lm (lock);
353 (obj.*method)(_metrics);
356 void get_grid (std::vector<BBTPoint>&,
357 framepos_t start, framepos_t end, uint32_t bar_mod = 0);
359 static const Tempo& default_tempo() { return _default_tempo; }
360 static const Meter& default_meter() { return _default_meter; }
362 /* because tempi may be ramped, this is only valid for the instant requested.*/
363 double frames_per_quarter_note_at (const framepos_t&, const framecnt_t& sr) const;
365 const TempoSection& tempo_section_at_frame (framepos_t frame) const;
366 TempoSection& tempo_section_at_frame (framepos_t frame);
367 const MeterSection& meter_section_at_frame (framepos_t frame) const;
368 const MeterSection& meter_section_at_beat (double beat) const;
370 TempoSection* previous_tempo_section (TempoSection*) const;
371 TempoSection* next_tempo_section (TempoSection*) const;
373 /** add a tempo section locked to pls. ignored values will be set in recompute_tempi()
374 * @param pulse pulse position of new section. ignored if pls == AudioTime
375 * @param frame frame position of new section. ignored if pls == MusicTime
376 * @param type type of new tempo section (Ramp, Constant)
378 TempoSection* add_tempo (const Tempo&, const double& pulse, const framepos_t& frame, PositionLockStyle pls);
380 /** add a meter section locked to pls.. ignored values will be set in recompute_meters()
381 * @param meter the Meter to be added
382 * @param beat beat position of new section
383 * @param where bbt position of new section
384 * @param frame frame position of new section. ignored if pls == MusicTime
385 * note that @frame may also be ignored if it would create an un-solvable map
386 * (previous audio-locked tempi may place the requested beat at an earlier time than frame)
387 * in which case the new meter will be placed at the specified BBT.
388 * @param pls the position lock style
390 * adding an audio-locked meter will add a meter-locked tempo section at the meter position.
391 * the meter-locked tempo tempo will be the Tempo at @beat
393 MeterSection* add_meter (const Meter& meter, const double& beat, const Timecode::BBT_Time& where, framepos_t frame, PositionLockStyle pls);
395 void remove_tempo (const TempoSection&, bool send_signal);
396 void remove_meter (const MeterSection&, bool send_signal);
398 void replace_tempo (TempoSection&, const Tempo&, const double& pulse, const framepos_t& frame, PositionLockStyle pls);
400 void replace_meter (const MeterSection&, const Meter&, const Timecode::BBT_Time& where, framepos_t frame, PositionLockStyle pls);
402 MusicFrame round_to_bar (framepos_t frame, RoundMode dir);
403 MusicFrame round_to_beat (framepos_t frame, RoundMode dir);
404 MusicFrame round_to_quarter_note_subdivision (framepos_t fr, int sub_num, RoundMode dir);
406 void set_length (framepos_t frames);
408 XMLNode& get_state (void);
409 int set_state (const XMLNode&, int version);
411 void dump (std::ostream&) const;
414 TempoMetric metric_at (Timecode::BBT_Time bbt) const;
416 /** Return the TempoMetric at frame @p t, and point @p last to the latest
417 * metric change <= t, if it is non-NULL.
419 TempoMetric metric_at (framepos_t, Metrics::const_iterator* last=NULL) const;
421 Metrics::const_iterator metrics_end() { return _metrics.end(); }
423 void change_existing_tempo_at (framepos_t, double bpm, double note_type, double end_ntpm);
424 void change_initial_tempo (double ntpm, double note_type, double end_ntpm);
426 void insert_time (framepos_t, framecnt_t);
427 bool remove_time (framepos_t where, framecnt_t amount); //returns true if anything was moved
429 int n_tempos () const;
430 int n_meters () const;
432 framecnt_t frame_rate () const { return _frame_rate; }
434 /* TEMPO- AND METER-SENSITIVE FUNCTIONS
436 bbt_at_frame(), frame_at_bbt(), beat_at_frame(), frame_at_beat()
437 and bbt_duration_at()
438 are all sensitive to tempo and meter, and will give answers
439 that align with the grid formed by tempo and meter sections.
441 They SHOULD NOT be used to determine the position of events
442 whose location is canonically defined in Evoral::Beats.
445 double beat_at_frame (const framecnt_t& frame) const;
446 framepos_t frame_at_beat (const double& beat) const;
448 const Meter& meter_at_frame (framepos_t) const;
450 /* bbt - it's nearly always better to use meter-based beat (above)
451 unless tick resolution is desirable.
453 Timecode::BBT_Time bbt_at_frame (framepos_t when);
454 Timecode::BBT_Time bbt_at_frame_rt (framepos_t when);
455 framepos_t frame_at_bbt (const Timecode::BBT_Time&);
457 double beat_at_bbt (const Timecode::BBT_Time& bbt);
458 Timecode::BBT_Time bbt_at_beat (const double& beats);
460 double quarter_note_at_bbt (const Timecode::BBT_Time& bbt);
461 double quarter_note_at_bbt_rt (const Timecode::BBT_Time& bbt);
462 Timecode::BBT_Time bbt_at_quarter_note (const double& quarter_note);
464 framecnt_t bbt_duration_at (framepos_t, const Timecode::BBT_Time&, int dir);
465 framepos_t framepos_plus_bbt (framepos_t pos, Timecode::BBT_Time b) const;
467 /* TEMPO-SENSITIVE FUNCTIONS
469 These next 2 functions will all take tempo in account and should be
470 used to determine position (and in the last case, distance in beats)
471 when tempo matters but meter does not.
473 They SHOULD be used to determine the position of events
474 whose location is canonically defined in Evoral::Beats.
477 framepos_t framepos_plus_qn (framepos_t, Evoral::Beats) const;
478 Evoral::Beats framewalk_to_qn (framepos_t pos, framecnt_t distance) const;
480 /* quarter note related functions are also tempo-sensitive and ignore meter.
481 quarter notes may be compared with and assigned to Evoral::Beats.
483 double quarter_note_at_frame (const framepos_t frame) const;
484 double quarter_note_at_frame_rt (const framepos_t frame) const;
485 framepos_t frame_at_quarter_note (const double quarter_note) const;
487 framecnt_t frames_between_quarter_notes (const double start, const double end) const;
488 double quarter_notes_between_frames (const framecnt_t start, const framecnt_t end) const;
490 double quarter_note_at_beat (const double beat) const;
491 double beat_at_quarter_note (const double beat) const;
493 /* obtain a musical subdivision via a frame position and magic note divisor.*/
494 double exact_qn_at_frame (const framepos_t& frame, const int32_t sub_num) const;
495 double exact_beat_at_frame (const framepos_t& frame, const int32_t sub_num) const;
497 Tempo tempo_at_frame (const framepos_t& frame) const;
498 framepos_t frame_at_tempo (const Tempo& tempo) const;
499 Tempo tempo_at_quarter_note (const double& beat) const;
500 double quarter_note_at_tempo (const Tempo& tempo) const;
502 void gui_set_tempo_position (TempoSection*, const framepos_t& frame, const int& sub_num);
503 void gui_set_meter_position (MeterSection*, const framepos_t& frame);
504 bool gui_change_tempo (TempoSection*, const Tempo& bpm, bool change_end);
505 void gui_stretch_tempo (TempoSection* tempo, const framepos_t frame, const framepos_t end_frame);
506 void gui_stretch_tempo_end (TempoSection* tempo, const framepos_t frame, const framepos_t end_frame);
507 bool gui_twist_tempi (TempoSection* first, const Tempo& bpm, const framepos_t frame, const framepos_t end_frame);
509 std::pair<double, framepos_t> predict_tempo_position (TempoSection* section, const Timecode::BBT_Time& bbt);
510 bool can_solve_bbt (TempoSection* section, const Timecode::BBT_Time& bbt);
512 PBD::Signal1<void,const PBD::PropertyChange&> MetricPositionChanged;
513 void fix_legacy_session();
514 void fix_legacy_end_session();
518 double beat_at_minute_locked (const Metrics& metrics, const double& minute) const;
519 double minute_at_beat_locked (const Metrics& metrics, const double& beat) const;
521 double pulse_at_beat_locked (const Metrics& metrics, const double& beat) const;
522 double beat_at_pulse_locked (const Metrics& metrics, const double& pulse) const;
524 double pulse_at_minute_locked (const Metrics& metrics, const double& minute) const;
525 double minute_at_pulse_locked (const Metrics& metrics, const double& pulse) const;
527 Tempo tempo_at_minute_locked (const Metrics& metrics, const double& minute) const;
528 double minute_at_tempo_locked (const Metrics& metrics, const Tempo& tempo) const;
530 Tempo tempo_at_pulse_locked (const Metrics& metrics, const double& pulse) const;
531 double pulse_at_tempo_locked (const Metrics& metrics, const Tempo& tempo) const;
533 Timecode::BBT_Time bbt_at_minute_locked (const Metrics& metrics, const double& minute) const;
534 double minute_at_bbt_locked (const Metrics& metrics, const Timecode::BBT_Time&) const;
536 double beat_at_bbt_locked (const Metrics& metrics, const Timecode::BBT_Time& bbt) const ;
537 Timecode::BBT_Time bbt_at_beat_locked (const Metrics& metrics, const double& beats) const;
539 double pulse_at_bbt_locked (const Metrics& metrics, const Timecode::BBT_Time& bbt) const;
540 Timecode::BBT_Time bbt_at_pulse_locked (const Metrics& metrics, const double& pulse) const;
542 double minutes_between_quarter_notes_locked (const Metrics& metrics, const double start_qn, const double end_qn) const;
543 double quarter_notes_between_frames_locked (const Metrics& metrics, const framecnt_t start, const framecnt_t end) const;
545 const TempoSection& tempo_section_at_minute_locked (const Metrics& metrics, double minute) const;
546 TempoSection& tempo_section_at_minute_locked (const Metrics& metrics, double minute);
547 const TempoSection& tempo_section_at_beat_locked (const Metrics& metrics, const double& beat) const;
549 const MeterSection& meter_section_at_minute_locked (const Metrics& metrics, double minute) const;
550 const MeterSection& meter_section_at_beat_locked (const Metrics& metrics, const double& beat) const;
552 bool check_solved (const Metrics& metrics) const;
553 bool set_active_tempi (const Metrics& metrics, const framepos_t& frame);
555 bool solve_map_minute (Metrics& metrics, TempoSection* section, const double& minute);
556 bool solve_map_pulse (Metrics& metrics, TempoSection* section, const double& pulse);
557 bool solve_map_minute (Metrics& metrics, MeterSection* section, const double& minute);
558 bool solve_map_bbt (Metrics& metrics, MeterSection* section, const Timecode::BBT_Time& bbt);
560 double exact_beat_at_frame_locked (const Metrics& metrics, const framepos_t& frame, const int32_t sub_num) const;
561 double exact_qn_at_frame_locked (const Metrics& metrics, const framepos_t& frame, const int32_t sub_num) const;
563 double minute_at_frame (const framepos_t frame) const;
564 framepos_t frame_at_minute (const double minute) const;
566 friend class ::BBTTest;
567 friend class ::FrameposPlusBeatsTest;
568 friend class ::FrameposMinusBeatsTest;
569 friend class ::TempoTest;
571 static Tempo _default_tempo;
572 static Meter _default_meter;
575 framecnt_t _frame_rate;
576 mutable Glib::Threads::RWLock lock;
578 void recompute_tempi (Metrics& metrics);
579 void recompute_meters (Metrics& metrics);
580 void recompute_map (Metrics& metrics, framepos_t end = -1);
582 MusicFrame round_to_type (framepos_t fr, RoundMode dir, BBTPointType);
584 const MeterSection& first_meter() const;
585 MeterSection& first_meter();
586 const TempoSection& first_tempo() const;
587 TempoSection& first_tempo();
589 void do_insert (MetricSection* section);
591 TempoSection* add_tempo_locked (const Tempo&, double pulse, double minute
592 , PositionLockStyle pls, bool recompute, bool locked_to_meter = false);
594 MeterSection* add_meter_locked (const Meter&, double beat, const Timecode::BBT_Time& where, framepos_t frame, PositionLockStyle pls, bool recompute);
596 bool remove_tempo_locked (const TempoSection&);
597 bool remove_meter_locked (const MeterSection&);
599 TempoSection* copy_metrics_and_point (const Metrics& metrics, Metrics& copy, TempoSection* section);
600 MeterSection* copy_metrics_and_point (const Metrics& metrics, Metrics& copy, MeterSection* section);
603 }; /* namespace ARDOUR */
605 LIBARDOUR_API std::ostream& operator<< (std::ostream&, const ARDOUR::Meter&);
606 LIBARDOUR_API std::ostream& operator<< (std::ostream&, const ARDOUR::Tempo&);
607 LIBARDOUR_API std::ostream& operator<< (std::ostream&, const ARDOUR::MetricSection&);
609 #endif /* __ardour_tempo_h__ */