libs/ardour/tempo.cc

   1 /*
   2     Copyright (C) 2000-2002 Paul Davis
   3
   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.
   8
   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.
  13
  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.
  17
  18 */
  19
  20 #include <algorithm>
  21 #include <stdexcept>
  22 #include <cmath>
  23
  24 #include <unistd.h>
  25
  26 #include <glibmm/threads.h>
  27
  28 #include "pbd/enumwriter.h"
  29 #include "pbd/xml++.h"
  30 #include "evoral/Beats.hpp"
  31
  32 #include "ardour/debug.h"
  33 #include "ardour/lmath.h"
  34 #include "ardour/tempo.h"
  35
  36 #include "i18n.h"
  37 #include <locale.h>
  38
  39 using namespace std;
  40 using namespace ARDOUR;
  41 using namespace PBD;
  42
  43 using Timecode::BBT_Time;
  44
  45 /* _default tempo is 4/4 qtr=120 */
  46
  47 Meter    TempoMap::_default_meter (4.0, 4.0);
  48 Tempo    TempoMap::_default_tempo (120.0);
  49
  50 /***********************************************************************/
  51
  52 double
  53 Meter::frames_per_grid (const Tempo& tempo, framecnt_t sr) const
  54 {
  55         /* This is tempo- and meter-sensitive. The number it returns
  56            is based on the interval between any two lines in the
  57            grid that is constructed from tempo and meter sections.
  58
  59            The return value IS NOT interpretable in terms of "beats".
  60         */
  61
  62         return (60.0 * sr) / (tempo.beats_per_minute() * (_note_type/tempo.note_type()));
  63 }
  64
  65 double
  66 Meter::frames_per_bar (const Tempo& tempo, framecnt_t sr) const
  67 {
  68         return frames_per_grid (tempo, sr) * _divisions_per_bar;
  69 }
  70
  71 /***********************************************************************/
  72
  73 const string TempoSection::xml_state_node_name = "Tempo";
  74
  75 TempoSection::TempoSection (const XMLNode& node)
  76         : MetricSection (0.0)
  77         , Tempo (TempoMap::default_tempo())
  78         , _c_func (0.0)
  79         , _active (true)
  80 {
  81         const XMLProperty *prop;
  82         LocaleGuard lg;
  83         BBT_Time bbt;
  84         double pulse;
  85         uint32_t frame;
  86
  87         _legacy_bbt = BBT_Time (0, 0, 0);
  88
  89         if ((prop = node.property ("start")) != 0) {
  90                 if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
  91                             &bbt.bars,
  92                             &bbt.beats,
  93                             &bbt.ticks) == 3) {
  94                         /* legacy session - start used to be in bbt*/
  95                         _legacy_bbt = bbt;
  96                         pulse = -1.0;
  97                         info << _("Legacy session detected. TempoSection XML node will be altered.") << endmsg;
  98                 }
  99         }
 100
 101         if ((prop = node.property ("pulse")) != 0) {
 102                 if (sscanf (prop->value().c_str(), "%lf", &pulse) != 1) {
 103                         error << _("TempoSection XML node has an illegal \"pulse\" value") << endmsg;
 104                 }
 105         }
 106
 107         set_pulse (pulse);
 108
 109         if ((prop = node.property ("frame")) != 0) {
 110                 if (sscanf (prop->value().c_str(), "%" PRIu32, &frame) != 1) {
 111                         error << _("TempoSection XML node has an illegal \"frame\" value") << endmsg;
 112                 } else {
 113                         set_frame (frame);
 114                 }
 115         }
 116
 117         if ((prop = node.property ("beats-per-minute")) == 0) {
 118                 error << _("TempoSection XML node has no \"beats-per-minute\" property") << endmsg;
 119                 throw failed_constructor();
 120         }
 121
 122         if (sscanf (prop->value().c_str(), "%lf", &_beats_per_minute) != 1 || _beats_per_minute < 0.0) {
 123                 error << _("TempoSection XML node has an illegal \"beats_per_minute\" value") << endmsg;
 124                 throw failed_constructor();
 125         }
 126
 127         if ((prop = node.property ("note-type")) == 0) {
 128                 /* older session, make note type be quarter by default */
 129                 _note_type = 4.0;
 130         } else {
 131                 if (sscanf (prop->value().c_str(), "%lf", &_note_type) != 1 || _note_type < 1.0) {
 132                         error << _("TempoSection XML node has an illegal \"note-type\" value") << endmsg;
 133                         throw failed_constructor();
 134                 }
 135         }
 136
 137         if ((prop = node.property ("movable")) == 0) {
 138                 error << _("TempoSection XML node has no \"movable\" property") << endmsg;
 139                 throw failed_constructor();
 140         }
 141
 142         set_movable (string_is_affirmative (prop->value()));
 143
 144         if ((prop = node.property ("active")) == 0) {
 145                 warning << _("TempoSection XML node has no \"active\" property") << endmsg;
 146                 set_active(true);
 147         } else {
 148                 set_active (string_is_affirmative (prop->value()));
 149         }
 150
 151         if ((prop = node.property ("tempo-type")) == 0) {
 152                 _type = Constant;
 153         } else {
 154                 _type = Type (string_2_enum (prop->value(), _type));
 155         }
 156
 157         if ((prop = node.property ("lock-style")) == 0) {
 158                 if (movable()) {
 159                         set_position_lock_style (MusicTime);
 160                 } else {
 161                         set_position_lock_style (AudioTime);
 162                 }
 163         } else {
 164                 set_position_lock_style (PositionLockStyle (string_2_enum (prop->value(), position_lock_style())));
 165         }
 166 }
 167
 168 XMLNode&
 169 TempoSection::get_state() const
 170 {
 171         XMLNode *root = new XMLNode (xml_state_node_name);
 172         char buf[256];
 173         LocaleGuard lg;
 174
 175         snprintf (buf, sizeof (buf), "%f", pulse());
 176         root->add_property ("pulse", buf);
 177         snprintf (buf, sizeof (buf), "%li", frame());
 178         root->add_property ("frame", buf);
 179         snprintf (buf, sizeof (buf), "%f", _beats_per_minute);
 180         root->add_property ("beats-per-minute", buf);
 181         snprintf (buf, sizeof (buf), "%f", _note_type);
 182         root->add_property ("note-type", buf);
 183         snprintf (buf, sizeof (buf), "%s", movable()?"yes":"no");
 184         root->add_property ("movable", buf);
 185         snprintf (buf, sizeof (buf), "%s", active()?"yes":"no");
 186         root->add_property ("active", buf);
 187         root->add_property ("tempo-type", enum_2_string (_type));
 188         root->add_property ("lock-style", enum_2_string (position_lock_style()));
 189
 190         return *root;
 191 }
 192
 193 void
 194 TempoSection::set_type (Type type)
 195 {
 196         _type = type;
 197 }
 198
 199 /** returns the tempo in whole pulses per minute at the zero-based (relative to session) frame.
 200 */
 201 double
 202 TempoSection::tempo_at_frame (const framepos_t& f, const framecnt_t& frame_rate) const
 203 {
 204
 205         if (_type == Constant || _c_func == 0.0) {
 206                 return pulses_per_minute();
 207         }
 208
 209         return pulse_tempo_at_time (frame_to_minute (f - frame(), frame_rate));
 210 }
 211
 212 /** returns the zero-based frame (relative to session)
 213    where the tempo in whole pulses per minute occurs in this section.
 214    beat b is only used for constant tempos.
 215    note that the tempo map may have multiple such values.
 216 */
 217 framepos_t
 218 TempoSection::frame_at_tempo (const double& ppm, const double& b, const framecnt_t& frame_rate) const
 219 {
 220         if (_type == Constant || _c_func == 0.0) {
 221                 return ((b - pulse())  * frames_per_pulse (frame_rate))  + frame();
 222         }
 223
 224         return minute_to_frame (time_at_pulse_tempo (ppm), frame_rate) + frame();
 225 }
 226 /** returns the tempo in pulses per minute at the zero-based (relative to session) beat.
 227 */
 228 double
 229 TempoSection::tempo_at_pulse (const double& p) const
 230 {
 231
 232         if (_type == Constant || _c_func == 0.0) {
 233                 return pulses_per_minute();
 234         }
 235         double const ppm = pulse_tempo_at_pulse (p - pulse());
 236         return ppm;
 237 }
 238
 239 /** returns the zero-based beat (relative to session)
 240    where the tempo in whole pulses per minute occurs given frame f. frame f is only used for constant tempos.
 241    note that the session tempo map may have multiple beats at a given tempo.
 242 */
 243 double
 244 TempoSection::pulse_at_tempo (const double& ppm, const framepos_t& f, const framecnt_t& frame_rate) const
 245 {
 246         if (_type == Constant || _c_func == 0.0) {
 247                 double const pulses = ((f - frame()) / frames_per_pulse (frame_rate)) + pulse();
 248                 return  pulses;
 249         }
 250         return pulse_at_pulse_tempo (ppm) + pulse();
 251 }
 252
 253 /** returns the zero-based pulse (relative to session origin)
 254    where the zero-based frame (relative to session)
 255    lies.
 256 */
 257 double
 258 TempoSection::pulse_at_frame (const framepos_t& f, const framecnt_t& frame_rate) const
 259 {
 260         if (_type == Constant || _c_func == 0.0) {
 261                 return ((f - frame()) / frames_per_pulse (frame_rate)) + pulse();
 262         }
 263
 264         return pulse_at_time (frame_to_minute (f - frame(), frame_rate)) + pulse();
 265 }
 266
 267 /** returns the zero-based frame (relative to session start frame)
 268    where the zero-based pulse (relative to session start)
 269    falls.
 270 */
 271
 272 framepos_t
 273 TempoSection::frame_at_pulse (const double& p, const framecnt_t& frame_rate) const
 274 {
 275         if (_type == Constant || _c_func == 0.0) {
 276                 return (framepos_t) floor ((p - pulse()) * frames_per_pulse (frame_rate)) + frame();
 277         }
 278
 279         return minute_to_frame (time_at_pulse (p - pulse()), frame_rate) + frame();
 280 }
 281
 282 /*
 283 Ramp Overview
 284
 285       |                     *
 286 Tempo |                   *
 287 Tt----|-----------------*|
 288 Ta----|--------------|*  |
 289       |            * |   |
 290       |         *    |   |
 291       |     *        |   |
 292 T0----|*             |   |
 293   *   |              |   |
 294       _______________|___|____
 295       time           a   t (next tempo)
 296       [        c         ] defines c
 297
 298 Duration in beats at time a is the integral of some Tempo function.
 299 In our case, the Tempo function (Tempo at time t) is
 300 T(t) = T0(e^(ct))
 301
 302 with function constant
 303 c = log(Ta/T0)/a
 304 so
 305 a = log(Ta/T0)/c
 306
 307 The integral over t of our Tempo function (the beat function, which is the duration in beats at some time t) is:
 308 b(t) = T0(e^(ct) - 1) / c
 309
 310 To find the time t at beat duration b, we use the inverse function of the beat function (the time function) which can be shown to be:
 311 t(b) = log((cb / T0) + 1) / c
 312
 313 The time t at which Tempo T occurs is a as above:
 314 t(T) = log(T / T0) / c
 315
 316 The beat at which a Tempo T occurs is:
 317 b(T) = (T - T0) / c
 318
 319 The Tempo at which beat b occurs is:
 320 T(b) = b.c + T0
 321
 322 We define c for this tempo ramp by placing a new tempo section at some time t after this one.
 323 Our problem is that we usually don't know t.
 324 We almost always know the duration in beats between this and the new section, so we need to find c in terms of the beat function.
 325 Where a = t (i.e. when a is equal to the time of the next tempo section), the beat function reveals:
 326 t = b log (Ta / T0) / (T0 (e^(log (Ta / T0)) - 1))
 327
 328 By substituting our expanded t as a in the c function above, our problem is reduced to:
 329 c = T0 (e^(log (Ta / T0)) - 1) / b
 330
 331 We can now store c for future time calculations.
 332 If the following tempo section (the one that defines c in conjunction with this one)
 333 is changed or moved, c is no longer valid.
 334
 335 The public methods are session-relative.
 336
 337 Most of this stuff is taken from this paper:
 338
 339 WHERE’S THE BEAT?
 340 TOOLS FOR DYNAMIC TEMPO CALCULATIONS
 341 Jan C. Schacher
 342 Martin Neukom
 343 Zurich University of Arts
 344 Institute for Computer Music and Sound Technology
 345
 346 https://www.zhdk.ch/fileadmin/data_subsites/data_icst/Downloads/Timegrid/ICST_Tempopolyphony_ICMC07.pdf
 347
 348 */
 349
 350 /*
 351   compute this ramp's function constant using the end tempo (in whole pulses per minute)
 352   and duration (pulses into global start) of some later tempo section.
 353 */
 354 double
 355 TempoSection::compute_c_func_pulse (const double& end_bpm, const double& end_pulse, const framecnt_t& frame_rate)
 356 {
 357         double const log_tempo_ratio = log (end_bpm / pulses_per_minute());
 358         return pulses_per_minute() *  (expm1 (log_tempo_ratio)) / (end_pulse - pulse());
 359 }
 360
 361 /* compute the function constant from some later tempo section, given tempo (whole pulses/min.) and distance (in frames) from session origin */
 362 double
 363 TempoSection::compute_c_func_frame (const double& end_bpm, const framepos_t& end_frame, const framecnt_t& frame_rate) const
 364 {
 365         return c_func (end_bpm, frame_to_minute (end_frame - frame(), frame_rate));
 366 }
 367
 368 framecnt_t
 369 TempoSection::minute_to_frame (const double& time, const framecnt_t& frame_rate) const
 370 {
 371         return (framecnt_t) floor ((time * 60.0 * frame_rate) + 0.5);
 372 }
 373
 374 double
 375 TempoSection::frame_to_minute (const framecnt_t& frame, const framecnt_t& frame_rate) const
 376 {
 377         return (frame / (double) frame_rate) / 60.0;
 378 }
 379
 380 /* position function */
 381 double
 382 TempoSection::a_func (double end_bpm, double c_func) const
 383 {
 384         return log (end_bpm / pulses_per_minute()) /  c_func;
 385 }
 386
 387 /*function constant*/
 388 double
 389 TempoSection::c_func (double end_bpm, double end_time) const
 390 {
 391         return log (end_bpm / pulses_per_minute()) /  end_time;
 392 }
 393
 394 /* tempo in ppm at time in minutes */
 395 double
 396 TempoSection::pulse_tempo_at_time (const double& time) const
 397 {
 398         return exp (_c_func * time) * pulses_per_minute();
 399 }
 400
 401 /* time in minutes at tempo in ppm */
 402 double
 403 TempoSection::time_at_pulse_tempo (const double& pulse_tempo) const
 404 {
 405         return log (pulse_tempo / pulses_per_minute()) / _c_func;
 406 }
 407
 408 /* tick at tempo in ppm */
 409 double
 410 TempoSection::pulse_at_pulse_tempo (const double& pulse_tempo) const
 411 {
 412         return (pulse_tempo - pulses_per_minute()) / _c_func;
 413 }
 414
 415 /* tempo in ppm at tick */
 416 double
 417 TempoSection::pulse_tempo_at_pulse (const double& pulse) const
 418 {
 419         return (pulse * _c_func) + pulses_per_minute();
 420 }
 421
 422 /* pulse at time in minutes */
 423 double
 424 TempoSection::pulse_at_time (const double& time) const
 425 {
 426         return expm1 (_c_func * time) * (pulses_per_minute() / _c_func);
 427 }
 428
 429 /* time in minutes at pulse */
 430 double
 431 TempoSection::time_at_pulse (const double& pulse) const
 432 {
 433         return log1p ((_c_func * pulse) / pulses_per_minute()) / _c_func;
 434 }
 435
 436 /***********************************************************************/
 437
 438 const string MeterSection::xml_state_node_name = "Meter";
 439
 440 MeterSection::MeterSection (const XMLNode& node)
 441         : MetricSection (0.0), Meter (TempoMap::default_meter())
 442 {
 443         XMLProperty const * prop;
 444         BBT_Time start;
 445         LocaleGuard lg;
 446         const XMLProperty *prop;
 447         BBT_Time bbt;
 448         double pulse = 0.0;
 449         double beat = 0.0;
 450         framepos_t frame = 0;
 451         pair<double, BBT_Time> start;
 452
 453         if ((prop = node.property ("start")) != 0) {
 454                 if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
 455                     &bbt.bars,
 456                     &bbt.beats,
 457                     &bbt.ticks) < 3) {
 458                         error << _("MeterSection XML node has an illegal \"start\" value") << endmsg;
 459                 } else {
 460                         /* legacy session - start used to be in bbt*/
 461                         info << _("Legacy session detected - MeterSection XML node will be altered.") << endmsg;
 462                         pulse = -1.0;
 463                 }
 464         }
 465
 466         if ((prop = node.property ("pulse")) != 0) {
 467                 if (sscanf (prop->value().c_str(), "%lf", &pulse) != 1) {
 468                         error << _("MeterSection XML node has an illegal \"pulse\" value") << endmsg;
 469                 }
 470         }
 471         set_pulse (pulse);
 472
 473         if ((prop = node.property ("beat")) != 0) {
 474                 if (sscanf (prop->value().c_str(), "%lf", &beat) != 1) {
 475                         error << _("MeterSection XML node has an illegal \"beat\" value") << endmsg;
 476                 }
 477         }
 478
 479         start.first = beat;
 480
 481         if ((prop = node.property ("bbt")) == 0) {
 482                 warning << _("MeterSection XML node has no \"bbt\" property") << endmsg;
 483         } else if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
 484                     &bbt.bars,
 485                     &bbt.beats,
 486                     &bbt.ticks) < 3) {
 487                 error << _("MeterSection XML node has an illegal \"bbt\" value") << endmsg;
 488                 throw failed_constructor();
 489         }
 490
 491         start.second = bbt;
 492         set_beat (start);
 493
 494         if ((prop = node.property ("frame")) != 0) {
 495                 if (sscanf (prop->value().c_str(), "%li", &frame) != 1) {
 496                         error << _("MeterSection XML node has an illegal \"frame\" value") << endmsg;
 497                 } else {
 498                         set_frame (frame);
 499                 }
 500         }
 501
 502         /* beats-per-bar is old; divisions-per-bar is new */
 503
 504         if ((prop = node.property ("divisions-per-bar")) == 0) {
 505                 if ((prop = node.property ("beats-per-bar")) == 0) {
 506                         error << _("MeterSection XML node has no \"beats-per-bar\" or \"divisions-per-bar\" property") << endmsg;
 507                         throw failed_constructor();
 508                 }
 509         }
 510         if (sscanf (prop->value().c_str(), "%lf", &_divisions_per_bar) != 1 || _divisions_per_bar < 0.0) {
 511                 error << _("MeterSection XML node has an illegal \"divisions-per-bar\" value") << endmsg;
 512                 throw failed_constructor();
 513         }
 514
 515         if ((prop = node.property ("note-type")) == 0) {
 516                 error << _("MeterSection XML node has no \"note-type\" property") << endmsg;
 517                 throw failed_constructor();
 518         }
 519         if (sscanf (prop->value().c_str(), "%lf", &_note_type) != 1 || _note_type < 0.0) {
 520                 error << _("MeterSection XML node has an illegal \"note-type\" value") << endmsg;
 521                 throw failed_constructor();
 522         }
 523
 524         if ((prop = node.property ("movable")) == 0) {
 525                 error << _("MeterSection XML node has no \"movable\" property") << endmsg;
 526                 throw failed_constructor();
 527         }
 528
 529         set_movable (string_is_affirmative (prop->value()));
 530
 531         if ((prop = node.property ("lock-style")) == 0) {
 532                 warning << _("MeterSection XML node has no \"lock-style\" property") << endmsg;
 533                 if (movable()) {
 534                         set_position_lock_style (MusicTime);
 535                 } else {
 536                         set_position_lock_style (AudioTime);
 537                 }
 538         } else {
 539                 set_position_lock_style (PositionLockStyle (string_2_enum (prop->value(), position_lock_style())));
 540         }
 541 }
 542
 543 XMLNode&
 544 MeterSection::get_state() const
 545 {
 546         XMLNode *root = new XMLNode (xml_state_node_name);
 547         char buf[256];
 548         LocaleGuard lg;
 549
 550         snprintf (buf, sizeof (buf), "%lf", pulse());
 551         root->add_property ("pulse", buf);
 552         snprintf (buf, sizeof (buf), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
 553                   bbt().bars,
 554                   bbt().beats,
 555                   bbt().ticks);
 556         root->add_property ("bbt", buf);
 557         snprintf (buf, sizeof (buf), "%lf", beat());
 558         root->add_property ("beat", buf);
 559         snprintf (buf, sizeof (buf), "%f", _note_type);
 560         root->add_property ("note-type", buf);
 561         snprintf (buf, sizeof (buf), "%li", frame());
 562         root->add_property ("frame", buf);
 563         root->add_property ("lock-style", enum_2_string (position_lock_style()));
 564         snprintf (buf, sizeof (buf), "%f", _divisions_per_bar);
 565         root->add_property ("divisions-per-bar", buf);
 566         snprintf (buf, sizeof (buf), "%s", movable()?"yes":"no");
 567         root->add_property ("movable", buf);
 568
 569         return *root;
 570 }
 571
 572 /***********************************************************************/
 573 /*
 574   Tempo Map Overview
 575
 576   Tempo can be thought of as a source of the musical pulse.
 577   Meters divide that pulse into measures and beats.
 578   Tempo pulses can be divided to be in sympathy with the meter, but this does not affect the beat
 579   at any particular time.
 580   Note that Tempo::beats_per_minute() has nothing to do with musical beats.
 581   It should rather be thought of as tempo note divisions per minute.
 582
 583   TempoSections, which are nice to think of in whole pulses per minute,
 584   and MeterSecions which divide tempo pulses into measures (via divisions_per_bar)
 585   and beats (via note_divisor) are used to form a tempo map.
 586   TempoSections and MeterSections may be locked to either audio or music (position lock style).
 587   We construct the tempo map by first using the frame or pulse position (depending on position lock style) of each tempo.
 588   We then use this pulse/frame layout to find the beat & pulse or frame position of each meter (again depending on lock style).
 589
 590   Having done this, we can now find any one of tempo, beat, frame or pulse if a beat, frame, pulse or tempo is known.
 591
 592   The first tempo and first meter are special. they must move together, and must be locked to audio.
 593   Audio locked tempos which lie before the first meter are made inactive.
 594   They will be re-activated if the first meter is again placed before them.
 595
 596   Both tempos and meters have a pulse position and a frame position.
 597   Meters also have a beat position, which is always 0.0 for the first meter.
 598
 599   A tempo locked to music is locked to musical pulses.
 600   A meter locked to music is locked to beats.
 601
 602   Recomputing the tempo map is the process where the 'missing' position
 603   (tempo pulse or meter pulse & beat in the case of AudioTime, frame for MusicTime) is calculated.
 604
 605   It is important to keep the _metrics in an order that makes sense.
 606   Because ramped MusicTime and AudioTime tempos can interact with each other,
 607   reordering is frequent. Care must be taken to keep _metrics in a solved state.
 608   Solved means ordered by frame or pulse with frame-accurate precision (see check_solved()).
 609 */
 610 struct MetricSectionSorter {
 611     bool operator() (const MetricSection* a, const MetricSection* b) {
 612             return a->pulse() < b->pulse();
 613     }
 614 };
 615
 616 struct MetricSectionFrameSorter {
 617     bool operator() (const MetricSection* a, const MetricSection* b) {
 618             return a->frame() < b->frame();
 619     }
 620 };
 621
 622 TempoMap::TempoMap (framecnt_t fr)
 623 {
 624         _frame_rate = fr;
 625         BBT_Time start (1, 1, 0);
 626
 627         TempoSection *t = new TempoSection ((framepos_t) 0, _default_tempo.beats_per_minute(), _default_tempo.note_type(), TempoSection::Constant);
 628         MeterSection *m = new MeterSection ((framepos_t) 0, 0.0, start, _default_meter.divisions_per_bar(), _default_meter.note_divisor());
 629
 630         t->set_movable (false);
 631         m->set_movable (false);
 632
 633         /* note: frame time is correct (zero) for both of these */
 634
 635         _metrics.push_back (t);
 636         _metrics.push_back (m);
 637
 638 }
 639
 640 TempoMap::~TempoMap ()
 641 {
 642 }
 643
 644 void
 645 TempoMap::remove_tempo (const TempoSection& tempo, bool complete_operation)
 646 {
 647         bool removed = false;
 648
 649         {
 650                 Glib::Threads::RWLock::WriterLock lm (lock);
 651                 if ((removed = remove_tempo_locked (tempo))) {
 652                         if (complete_operation) {
 653                                 recompute_map (_metrics);
 654                         }
 655                 }
 656         }
 657
 658         if (removed && complete_operation) {
 659                 PropertyChanged (PropertyChange ());
 660         }
 661 }
 662
 663 bool
 664 TempoMap::remove_tempo_locked (const TempoSection& tempo)
 665 {
 666         Metrics::iterator i;
 667
 668         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
 669                 if (dynamic_cast<TempoSection*> (*i) != 0) {
 670                         if (tempo.frame() == (*i)->frame()) {
 671                                 if ((*i)->movable()) {
 672                                         _metrics.erase (i);
 673                                         return true;
 674                                 }
 675                         }
 676                 }
 677         }
 678
 679         return false;
 680 }
 681
 682 void
 683 TempoMap::remove_meter (const MeterSection& tempo, bool complete_operation)
 684 {
 685         bool removed = false;
 686
 687         {
 688                 Glib::Threads::RWLock::WriterLock lm (lock);
 689                 if ((removed = remove_meter_locked (tempo))) {
 690                         if (complete_operation) {
 691                                 recompute_map (_metrics);
 692                         }
 693                 }
 694         }
 695
 696         if (removed && complete_operation) {
 697                 PropertyChanged (PropertyChange ());
 698         }
 699 }
 700
 701 bool
 702 TempoMap::remove_meter_locked (const MeterSection& tempo)
 703 {
 704         Metrics::iterator i;
 705
 706         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
 707                 if (dynamic_cast<MeterSection*> (*i) != 0) {
 708                         if (tempo.frame() == (*i)->frame()) {
 709                                 if ((*i)->movable()) {
 710                                         _metrics.erase (i);
 711                                         return true;
 712                                 }
 713                         }
 714                 }
 715         }
 716
 717         return false;
 718 }
 719
 720 void
 721 TempoMap::do_insert (MetricSection* section)
 722 {
 723         bool need_add = true;
 724         /* we only allow new meters to be inserted on beat 1 of an existing
 725          * measure.
 726          */
 727         MeterSection* m = 0;
 728         if ((m = dynamic_cast<MeterSection*>(section)) != 0) {
 729                 //assert (m->bbt().ticks == 0);
 730
 731                 if ((m->bbt().beats != 1) || (m->bbt().ticks != 0)) {
 732
 733                         pair<double, BBT_Time> corrected = make_pair (m->pulse(), m->bbt());
 734                         corrected.second.beats = 1;
 735                         corrected.second.ticks = 0;
 736                         corrected.first = bbt_to_beats_locked (_metrics, corrected.second);
 737                         warning << string_compose (_("Meter changes can only be positioned on the first beat of a bar. Moving from %1 to %2"),
 738                                                    m->bbt(), corrected.second) << endmsg;
 739                         //m->set_pulse (corrected);
 740                 }
 741         }
 742
 743         /* Look for any existing MetricSection that is of the same type and
 744            in the same bar as the new one, and remove it before adding
 745            the new one. Note that this means that if we find a matching,
 746            existing section, we can break out of the loop since we're
 747            guaranteed that there is only one such match.
 748         */
 749
 750         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
 751
 752                 TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
 753                 TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
 754                 MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
 755                 MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
 756
 757                 if (tempo && insert_tempo) {
 758
 759                         /* Tempo sections */
 760                         bool const ipm = insert_tempo->position_lock_style() == MusicTime;
 761                         if ((ipm && tempo->pulse() == insert_tempo->pulse()) || (!ipm && tempo->frame() == insert_tempo->frame())) {
 762
 763                                 if (!tempo->movable()) {
 764
 765                                         /* can't (re)move this section, so overwrite
 766                                          * its data content (but not its properties as
 767                                          * a section).
 768                                          */
 769
 770                                         *(dynamic_cast<Tempo*>(*i)) = *(dynamic_cast<Tempo*>(insert_tempo));
 771                                         (*i)->set_position_lock_style (AudioTime);
 772                                         TempoSection* t;
 773                                         if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
 774                                                 t->set_type (insert_tempo->type());
 775                                         }
 776                                         need_add = false;
 777                                 } else {
 778                                         _metrics.erase (i);
 779                                 }
 780                                 break;
 781                         }
 782
 783                 } else if (meter && insert_meter) {
 784
 785                         /* Meter Sections */
 786
 787                         bool const ipm = insert_meter->position_lock_style() == MusicTime;
 788
 789                         if ((ipm && meter->beat() == insert_meter->beat()) || (!ipm && meter->frame() == insert_meter->frame())) {
 790
 791                                 if (!meter->movable()) {
 792
 793                                         /* can't (re)move this section, so overwrite
 794                                          * its data content (but not its properties as
 795                                          * a section
 796                                          */
 797
 798                                         *(dynamic_cast<Meter*>(*i)) = *(dynamic_cast<Meter*>(insert_meter));
 799                                         (*i)->set_position_lock_style (AudioTime);
 800                                         need_add = false;
 801                                 } else {
 802                                         _metrics.erase (i);
 803                                 }
 804
 805                                 break;
 806                         }
 807                 } else {
 808                         /* non-matching types, so we don't care */
 809                 }
 810         }
 811
 812         /* Add the given MetricSection, if we didn't just reset an existing
 813          * one above
 814          */
 815
 816         if (need_add) {
 817                 MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
 818                 TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
 819                 Metrics::iterator i;
 820                 if (insert_meter) {
 821                         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
 822                                 MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
 823
 824                                 if (meter) {
 825                                         bool const ipm = insert_meter->position_lock_style() == MusicTime;
 826                                         if ((ipm && meter->beat() > insert_meter->beat()) || (!ipm && meter->frame() > insert_meter->frame())) {
 827                                                 break;
 828                                         }
 829                                 }
 830                         }
 831                 } else if (insert_tempo) {
 832                         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
 833                                 TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
 834
 835                                 if (tempo) {
 836                                         bool const ipm = insert_tempo->position_lock_style() == MusicTime;
 837                                         if ((ipm && tempo->pulse() > insert_tempo->pulse()) || (!ipm && tempo->frame() > insert_tempo->frame())) {
 838                                                 break;
 839                                         }
 840                                 }
 841                         }
 842                 }
 843
 844                 _metrics.insert (i, section);
 845                 //dump (_metrics, std::cerr);
 846         }
 847 }
 848
 849 void
 850 TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const double& pulse, TempoSection::Type type)
 851 {
 852         {
 853                 Glib::Threads::RWLock::WriterLock lm (lock);
 854                 TempoSection& first (first_tempo());
 855                 if (ts.pulse() != first.pulse()) {
 856                         remove_tempo_locked (ts);
 857                         add_tempo_locked (tempo, pulse, true, type);
 858                 } else {
 859                         first.set_type (type);
 860                         {
 861                                 /* cannot move the first tempo section */
 862                                 *static_cast<Tempo*>(&first) = tempo;
 863                                 recompute_map (_metrics);
 864                         }
 865                 }
 866         }
 867
 868         PropertyChanged (PropertyChange ());
 869 }
 870
 871 void
 872 TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const framepos_t& frame, TempoSection::Type type)
 873 {
 874         {
 875                 Glib::Threads::RWLock::WriterLock lm (lock);
 876                 TempoSection& first (first_tempo());
 877                 if (ts.frame() != first.frame()) {
 878                         remove_tempo_locked (ts);
 879                         add_tempo_locked (tempo, frame, true, type);
 880                 } else {
 881                         first.set_type (type);
 882                         first.set_pulse (0.0);
 883                         first.set_position_lock_style (AudioTime);
 884                         {
 885                                 /* cannot move the first tempo section */
 886                                 *static_cast<Tempo*>(&first) = tempo;
 887                                 recompute_map (_metrics);
 888                         }
 889                 }
 890         }
 891
 892         PropertyChanged (PropertyChange ());
 893 }
 894
 895 TempoSection*
 896 TempoMap::add_tempo (const Tempo& tempo, const double& pulse, ARDOUR::TempoSection::Type type)
 897 {
 898         TempoSection* ts = 0;
 899         {
 900                 Glib::Threads::RWLock::WriterLock lm (lock);
 901                 ts = add_tempo_locked (tempo, pulse, true, type);
 902         }
 903
 904         PropertyChanged (PropertyChange ());
 905
 906         return ts;
 907 }
 908
 909 TempoSection*
 910 TempoMap::add_tempo (const Tempo& tempo, const framepos_t& frame, ARDOUR::TempoSection::Type type)
 911 {
 912         TempoSection* ts = 0;
 913         {
 914                 Glib::Threads::RWLock::WriterLock lm (lock);
 915                 ts = add_tempo_locked (tempo, frame, true, type);
 916         }
 917
 918
 919         PropertyChanged (PropertyChange ());
 920
 921         return ts;
 922 }
 923
 924 TempoSection*
 925 TempoMap::add_tempo_locked (const Tempo& tempo, double pulse, bool recompute, ARDOUR::TempoSection::Type type)
 926 {
 927         TempoSection* t = new TempoSection (pulse, tempo.beats_per_minute(), tempo.note_type(), type);
 928
 929         do_insert (t);
 930
 931         if (recompute) {
 932                 solve_map (_metrics, t, t->pulse());
 933         }
 934
 935         return t;
 936 }
 937
 938 TempoSection*
 939 TempoMap::add_tempo_locked (const Tempo& tempo, framepos_t frame, bool recompute, ARDOUR::TempoSection::Type type)
 940 {
 941         TempoSection* t = new TempoSection (frame, tempo.beats_per_minute(), tempo.note_type(), type);
 942
 943         do_insert (t);
 944
 945         if (recompute) {
 946                 solve_map (_metrics, t, t->frame());
 947         }
 948
 949         return t;
 950 }
 951
 952 void
 953 TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const BBT_Time& where)
 954 {
 955         {
 956                 Glib::Threads::RWLock::WriterLock lm (lock);
 957
 958                 if (ms.movable()) {
 959                         remove_meter_locked (ms);
 960                         add_meter_locked (meter, bbt_to_beats_locked (_metrics, where), where, true);
 961                 } else {
 962                         MeterSection& first (first_meter());
 963                         /* cannot move the first meter section */
 964                         *static_cast<Meter*>(&first) = meter;
 965                         first.set_position_lock_style (AudioTime);
 966                 }
 967                 recompute_map (_metrics);
 968         }
 969
 970         PropertyChanged (PropertyChange ());
 971 }
 972
 973 void
 974 TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const framepos_t& frame)
 975 {
 976         {
 977                 Glib::Threads::RWLock::WriterLock lm (lock);
 978
 979                 const double beat = ms.beat();
 980                 const BBT_Time bbt = ms.bbt();
 981
 982                 if (ms.movable()) {
 983                         remove_meter_locked (ms);
 984                         add_meter_locked (meter, frame, beat, bbt, true);
 985                 } else {
 986                         MeterSection& first (first_meter());
 987                         TempoSection& first_t (first_tempo());
 988                         /* cannot move the first meter section */
 989                         *static_cast<Meter*>(&first) = meter;
 990                         first.set_position_lock_style (AudioTime);
 991                         first.set_pulse (0.0);
 992                         first.set_frame (frame);
 993                         pair<double, BBT_Time> beat = make_pair (0.0, BBT_Time (1, 1, 0));
 994                         first.set_beat (beat);
 995                         first_t.set_frame (first.frame());
 996                         first_t.set_pulse (0.0);
 997                         first_t.set_position_lock_style (AudioTime);
 998                 }
 999                 recompute_map (_metrics);
1000         }
1001         PropertyChanged (PropertyChange ());
1002 }
1003
1004
1005 MeterSection*
1006 TempoMap::add_meter (const Meter& meter, const double& beat, const BBT_Time& where)
1007 {
1008         MeterSection* m = 0;
1009         {
1010                 Glib::Threads::RWLock::WriterLock lm (lock);
1011                 m = add_meter_locked (meter, beat, where, true);
1012         }
1013
1014
1015 #ifndef NDEBUG
1016         if (DEBUG_ENABLED(DEBUG::TempoMap)) {
1017                 dump (_metrics, std::cerr);
1018         }
1019 #endif
1020
1021         PropertyChanged (PropertyChange ());
1022
1023         return m;
1024 }
1025
1026 MeterSection*
1027 TempoMap::add_meter (const Meter& meter, const framepos_t& frame, const double& beat, const Timecode::BBT_Time& where)
1028 {
1029         MeterSection* m = 0;
1030         {
1031                 Glib::Threads::RWLock::WriterLock lm (lock);
1032                 m = add_meter_locked (meter, frame, beat, where, true);
1033         }
1034
1035
1036 #ifndef NDEBUG
1037         if (DEBUG_ENABLED(DEBUG::TempoMap)) {
1038                 dump (_metrics, std::cerr);
1039         }
1040 #endif
1041
1042         PropertyChanged (PropertyChange ());
1043
1044         return m;
1045 }
1046
1047 MeterSection*
1048 TempoMap::add_meter_locked (const Meter& meter, double beat, BBT_Time where, bool recompute)
1049 {
1050         /* a new meter always starts a new bar on the first beat. so
1051            round the start time appropriately. remember that
1052            `where' is based on the existing tempo map, not
1053            the result after we insert the new meter.
1054
1055         */
1056
1057         if (where.beats != 1) {
1058                 where.beats = 1;
1059                 where.bars++;
1060         }
1061         /* new meters *always* start on a beat. */
1062         where.ticks = 0;
1063         const double pulse = pulse_at_beat_locked (_metrics, beat);
1064         MeterSection* new_meter = new MeterSection (pulse, beat, where, meter.divisions_per_bar(), meter.note_divisor());
1065         do_insert (new_meter);
1066
1067         if (recompute) {
1068                 solve_map (_metrics, new_meter, pulse);
1069         }
1070
1071         return new_meter;
1072 }
1073
1074 MeterSection*
1075 TempoMap::add_meter_locked (const Meter& meter, framepos_t frame, double beat, Timecode::BBT_Time where, bool recompute)
1076 {
1077         MeterSection* new_meter = new MeterSection (frame, beat, where, meter.divisions_per_bar(), meter.note_divisor());
1078
1079         double pulse = pulse_at_frame_locked (_metrics, frame);
1080         new_meter->set_pulse (pulse);
1081
1082         do_insert (new_meter);
1083
1084         if (recompute) {
1085                 solve_map (_metrics, new_meter, frame);
1086         }
1087
1088         return new_meter;
1089 }
1090
1091 void
1092 TempoMap::change_initial_tempo (double beats_per_minute, double note_type)
1093 {
1094         Tempo newtempo (beats_per_minute, note_type);
1095         TempoSection* t;
1096
1097         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1098                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1099                         if (!t->active()) {
1100                                 continue;
1101                         }
1102                         {
1103                                 Glib::Threads::RWLock::WriterLock lm (lock);
1104                                 *((Tempo*) t) = newtempo;
1105                                 recompute_map (_metrics);
1106                         }
1107                         PropertyChanged (PropertyChange ());
1108                         break;
1109                 }
1110         }
1111 }
1112
1113 void
1114 TempoMap::change_existing_tempo_at (framepos_t where, double beats_per_minute, double note_type)
1115 {
1116         Tempo newtempo (beats_per_minute, note_type);
1117
1118         TempoSection* prev;
1119         TempoSection* first;
1120         Metrics::iterator i;
1121
1122         /* find the TempoSection immediately preceding "where"
1123          */
1124
1125         for (first = 0, i = _metrics.begin(), prev = 0; i != _metrics.end(); ++i) {
1126
1127                 if ((*i)->frame() > where) {
1128                         break;
1129                 }
1130
1131                 TempoSection* t;
1132
1133                 if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
1134                         if (!t->active()) {
1135                                 continue;
1136                         }
1137                         if (!first) {
1138                                 first = t;
1139                         }
1140                         prev = t;
1141                 }
1142         }
1143
1144         if (!prev) {
1145                 if (!first) {
1146                         error << string_compose (_("no tempo sections defined in tempo map - cannot change tempo @ %1"), where) << endmsg;
1147                         return;
1148                 }
1149
1150                 prev = first;
1151         }
1152
1153         /* reset */
1154
1155         {
1156                 Glib::Threads::RWLock::WriterLock lm (lock);
1157                 /* cannot move the first tempo section */
1158                 *((Tempo*)prev) = newtempo;
1159                 recompute_map (_metrics);
1160         }
1161
1162         PropertyChanged (PropertyChange ());
1163 }
1164
1165 const MeterSection&
1166 TempoMap::first_meter () const
1167 {
1168         const MeterSection *m = 0;
1169
1170         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1171                 if ((m = dynamic_cast<const MeterSection *> (*i)) != 0) {
1172                         return *m;
1173                 }
1174         }
1175
1176         fatal << _("programming error: no meter section in tempo map!") << endmsg;
1177         abort(); /*NOTREACHED*/
1178         return *m;
1179 }
1180
1181 MeterSection&
1182 TempoMap::first_meter ()
1183 {
1184         MeterSection *m = 0;
1185
1186         /* CALLER MUST HOLD LOCK */
1187
1188         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1189                 if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
1190                         return *m;
1191                 }
1192         }
1193
1194         fatal << _("programming error: no tempo section in tempo map!") << endmsg;
1195         abort(); /*NOTREACHED*/
1196         return *m;
1197 }
1198
1199 const TempoSection&
1200 TempoMap::first_tempo () const
1201 {
1202         const TempoSection *t = 0;
1203
1204         /* CALLER MUST HOLD LOCK */
1205
1206         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1207                 if ((t = dynamic_cast<const TempoSection *> (*i)) != 0) {
1208                         if (!t->active()) {
1209                                 continue;
1210                         }
1211                         if (!t->movable()) {
1212                                 return *t;
1213                         }
1214                 }
1215         }
1216
1217         fatal << _("programming error: no tempo section in tempo map!") << endmsg;
1218         abort(); /*NOTREACHED*/
1219         return *t;
1220 }
1221
1222 TempoSection&
1223 TempoMap::first_tempo ()
1224 {
1225         TempoSection *t = 0;
1226
1227         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1228                 if ((t = dynamic_cast<TempoSection *> (*i)) != 0) {
1229                         if (!t->active()) {
1230                                 continue;
1231                         }
1232                         if (!t->movable()) {
1233                                 return *t;
1234                         }
1235                 }
1236         }
1237
1238         fatal << _("programming error: no tempo section in tempo map!") << endmsg;
1239         abort(); /*NOTREACHED*/
1240         return *t;
1241 }
1242 void
1243 TempoMap::recompute_tempos (Metrics& metrics)
1244 {
1245         TempoSection* prev_t = 0;
1246
1247         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1248                 TempoSection* t;
1249
1250                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1251                         if (!t->active()) {
1252                                 continue;
1253                         }
1254                         if (!t->movable()) {
1255                                 t->set_pulse (0.0);
1256                                 prev_t = t;
1257                                 continue;
1258                         }
1259                         if (prev_t) {
1260                                 if (t->position_lock_style() == AudioTime) {
1261                                         prev_t->set_c_func (prev_t->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
1262                                         t->set_pulse (prev_t->pulse_at_tempo (t->pulses_per_minute(), t->frame(), _frame_rate));
1263
1264                                 } else {
1265                                         prev_t->set_c_func (prev_t->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
1266                                         t->set_frame (prev_t->frame_at_tempo (t->pulses_per_minute(), t->pulse(), _frame_rate));
1267
1268                                 }
1269                         }
1270                         prev_t = t;
1271                 }
1272         }
1273         prev_t->set_c_func (0.0);
1274 }
1275
1276 /* tempos must be positioned correctly */
1277 void
1278 TempoMap::recompute_meters (Metrics& metrics)
1279 {
1280         MeterSection* meter = 0;
1281         MeterSection* prev_m = 0;
1282
1283         for (Metrics::const_iterator mi = metrics.begin(); mi != metrics.end(); ++mi) {
1284                 if ((meter = dynamic_cast<MeterSection*> (*mi)) != 0) {
1285                         if (meter->position_lock_style() == AudioTime) {
1286                                 double pulse = 0.0;
1287                                 pair<double, BBT_Time> b_bbt;
1288                                 if (meter->movable()) {
1289                                         const double beats = floor ((pulse_at_frame_locked (metrics, meter->frame()) - prev_m->pulse())
1290                                                                     * prev_m->note_divisor() + 0.5);
1291
1292                                         if (beats + prev_m->beat() < meter->beat()) {
1293                                                 /* tempo change caused a change in beat (bar). */
1294                                                 const double floor_beats = beats - fmod (beats, prev_m->divisions_per_bar());
1295                                                 b_bbt = make_pair (floor_beats + prev_m->beat()
1296                                                                    , BBT_Time ((floor_beats / prev_m->divisions_per_bar()) + prev_m->bbt().bars, 1, 0));
1297                                                 const double true_pulse = prev_m->pulse() + (floor_beats / prev_m->note_divisor());
1298                                                 const double pulse_off = true_pulse - (beats / prev_m->note_divisor()) - prev_m->pulse();
1299                                                 pulse = true_pulse - pulse_off;
1300                                         } else {
1301                                                 b_bbt = make_pair (meter->beat(), meter->bbt());
1302                                                 pulse = pulse_at_frame_locked (metrics, meter->frame());
1303                                         }
1304                                 } else {
1305                                         b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
1306                                 }
1307                                 meter->set_beat (b_bbt);
1308                                 meter->set_pulse (pulse);
1309                         } else {
1310                                 double pulse = 0.0;
1311                                 pair<double, BBT_Time> new_beat;
1312                                 if (prev_m) {
1313                                         pulse = prev_m->pulse() + ((meter->bbt().bars - prev_m->bbt().bars) *  prev_m->divisions_per_bar() / prev_m->note_divisor());
1314                                         new_beat = make_pair (((pulse - prev_m->pulse()) * prev_m->note_divisor()) + prev_m->beat(), meter->bbt());
1315                                 } else {
1316                                         /* shouldn't happen - the first is audio-locked */
1317                                         pulse = pulse_at_beat_locked (metrics, meter->beat());
1318                                         new_beat = make_pair (pulse, meter->bbt());
1319                                 }
1320
1321                                 meter->set_beat (new_beat);
1322                                 meter->set_frame (frame_at_pulse_locked (metrics, pulse));
1323                                 meter->set_pulse (pulse);
1324                         }
1325
1326                         prev_m = meter;
1327                 }
1328         }
1329         //dump (_metrics, std::cerr;
1330 }
1331
1332 void
1333 TempoMap::recompute_map (Metrics& metrics, framepos_t end)
1334 {
1335         /* CALLER MUST HOLD WRITE LOCK */
1336
1337         if (end < 0) {
1338
1339                 /* we will actually stop once we hit
1340                    the last metric.
1341                 */
1342                 end = max_framepos;
1343
1344         }
1345
1346         DEBUG_TRACE (DEBUG::TempoMath, string_compose ("recomputing tempo map, zero to %1\n", end));
1347
1348         if (end == 0) {
1349                 /* silly call from Session::process() during startup
1350                  */
1351                 return;
1352         }
1353
1354         recompute_tempos (metrics);
1355         recompute_meters (metrics);
1356 }
1357
1358 TempoMetric
1359 TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
1360 {
1361         Glib::Threads::RWLock::ReaderLock lm (lock);
1362         TempoMetric m (first_meter(), first_tempo());
1363
1364         /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
1365            at something, because we insert the default tempo and meter during
1366            TempoMap construction.
1367
1368            now see if we can find better candidates.
1369         */
1370
1371         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1372
1373                 if ((*i)->frame() > frame) {
1374                         break;
1375                 }
1376
1377                 m.set_metric(*i);
1378
1379                 if (last) {
1380                         *last = i;
1381                 }
1382         }
1383
1384         return m;
1385 }
1386
1387 /* XX meters only */
1388 TempoMetric
1389 TempoMap::metric_at (BBT_Time bbt) const
1390 {
1391         Glib::Threads::RWLock::ReaderLock lm (lock);
1392         TempoMetric m (first_meter(), first_tempo());
1393
1394         /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
1395            at something, because we insert the default tempo and meter during
1396            TempoMap construction.
1397
1398            now see if we can find better candidates.
1399         */
1400
1401         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1402                 MeterSection* mw;
1403                 if ((mw = dynamic_cast<MeterSection*> (*i)) != 0) {
1404                         BBT_Time section_start (mw->bbt());
1405
1406                         if (section_start.bars > bbt.bars || (section_start.bars == bbt.bars && section_start.beats > bbt.beats)) {
1407                                 break;
1408                         }
1409
1410                         m.set_metric (*i);
1411                 }
1412         }
1413
1414         return m;
1415 }
1416
1417 double
1418 TempoMap::pulse_at_beat_locked (const Metrics& metrics, const double& beat) const
1419 {
1420         MeterSection* prev_m = 0;
1421
1422         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1423                 MeterSection* m;
1424                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1425                         if (prev_m && m->beat() > beat) {
1426                                 break;
1427                         }
1428                         prev_m = m;
1429                 }
1430
1431         }
1432         double const ret = prev_m->pulse() + ((beat - prev_m->beat()) / prev_m->note_divisor());
1433         return ret;
1434 }
1435
1436 double
1437 TempoMap::pulse_at_beat (const double& beat) const
1438 {
1439         Glib::Threads::RWLock::ReaderLock lm (lock);
1440         return pulse_at_beat_locked (_metrics, beat);
1441 }
1442
1443 double
1444 TempoMap::beat_at_pulse_locked (const Metrics& metrics, const double& pulse) const
1445 {
1446         MeterSection* prev_m = 0;
1447
1448         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1449                 MeterSection* m;
1450                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1451                         if (prev_m && m->pulse() > pulse) {
1452                                 if ((pulse - prev_m->pulse()) * prev_m->note_divisor() < m->beat()) {
1453                                         break;
1454                                 }
1455                         }
1456                         prev_m = m;
1457                 }
1458         }
1459
1460         double const beats_in_section = (pulse - prev_m->pulse()) * prev_m->note_divisor();
1461
1462         return beats_in_section + prev_m->beat();
1463 }
1464
1465 double
1466 TempoMap::beat_at_pulse (const double& pulse) const
1467 {
1468         Glib::Threads::RWLock::ReaderLock lm (lock);
1469         return beat_at_pulse_locked (_metrics, pulse);
1470 }
1471
1472 /* tempo section based */
1473 double
1474 TempoMap::pulse_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
1475 {
1476         /* HOLD (at least) THE READER LOCK */
1477         TempoSection* prev_t = 0;
1478
1479         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1480                 TempoSection* t;
1481                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1482                         if (!t->active()) {
1483                                 continue;
1484                         }
1485                         if (prev_t && t->frame() > frame) {
1486                                 /*the previous ts is the one containing the frame */
1487                                 const double ret = prev_t->pulse_at_frame (frame, _frame_rate);
1488                                 return ret;
1489                         }
1490                         prev_t = t;
1491                 }
1492         }
1493
1494         /* treated as constant for this ts */
1495         const double pulses_in_section = (frame - prev_t->frame()) / prev_t->frames_per_pulse (_frame_rate);
1496
1497         return pulses_in_section + prev_t->pulse();
1498 }
1499
1500 double
1501 TempoMap::pulse_at_frame (const framecnt_t& frame) const
1502 {
1503         Glib::Threads::RWLock::ReaderLock lm (lock);
1504         return pulse_at_frame_locked (_metrics, frame);
1505 }
1506
1507 /* tempo section based */
1508 framecnt_t
1509 TempoMap::frame_at_pulse_locked (const Metrics& metrics, const double& pulse) const
1510 {
1511         /* HOLD THE READER LOCK */
1512
1513         const TempoSection* prev_t = 0;
1514
1515         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1516                 TempoSection* t;
1517
1518                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1519                         if (!t->active()) {
1520                                 continue;
1521                         }
1522                         if (prev_t && t->pulse() > pulse) {
1523                                 return prev_t->frame_at_pulse (pulse, _frame_rate);
1524                         }
1525
1526                         prev_t = t;
1527                 }
1528         }
1529         /* must be treated as constant, irrespective of _type */
1530         double const pulses_in_section = pulse - prev_t->pulse();
1531         double const dtime = pulses_in_section * prev_t->frames_per_pulse (_frame_rate);
1532
1533         framecnt_t const ret = (framecnt_t) floor (dtime) + prev_t->frame();
1534
1535         return ret;
1536 }
1537
1538 framecnt_t
1539 TempoMap::frame_at_pulse (const double& pulse) const
1540 {
1541         Glib::Threads::RWLock::ReaderLock lm (lock);
1542         return frame_at_pulse_locked (_metrics, pulse);
1543 }
1544
1545 /* meter section based */
1546 double
1547 TempoMap::beat_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
1548 {
1549         const TempoSection& ts = tempo_section_at_locked (metrics, frame);
1550         MeterSection* prev_m = 0;
1551         MeterSection* next_m = 0;
1552
1553         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1554                 MeterSection* m;
1555                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1556                         if (prev_m && m->frame() > frame) {
1557                                 next_m = m;
1558                                 break;
1559                         }
1560                         prev_m = m;
1561                 }
1562         }
1563         if (frame < prev_m->frame()) {
1564                 return 0.0;
1565         }
1566         const double beat = prev_m->beat() + (ts.pulse_at_frame (frame, _frame_rate) - prev_m->pulse()) * prev_m->note_divisor();
1567
1568         if (next_m && next_m->beat() < beat) {
1569                 return next_m->beat();
1570         }
1571
1572         return beat;
1573 }
1574
1575 double
1576 TempoMap::beat_at_frame (const framecnt_t& frame) const
1577 {
1578         Glib::Threads::RWLock::ReaderLock lm (lock);
1579         return beat_at_frame_locked (_metrics, frame);
1580 }
1581
1582 /* meter section based */
1583 framecnt_t
1584 TempoMap::frame_at_beat_locked (const Metrics& metrics, const double& beat) const
1585 {
1586         const TempoSection& prev_t = tempo_section_at_beat_locked (metrics, beat);
1587         MeterSection* prev_m = 0;
1588
1589         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1590                 MeterSection* m;
1591                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1592                         if (prev_m && m->beat() > beat) {
1593                                 break;
1594                         }
1595                         prev_m = m;
1596                 }
1597         }
1598
1599         return prev_t.frame_at_pulse (((beat - prev_m->beat()) / prev_m->note_divisor()) + prev_m->pulse(), _frame_rate);
1600 }
1601
1602 framecnt_t
1603 TempoMap::frame_at_beat (const double& beat) const
1604 {
1605         Glib::Threads::RWLock::ReaderLock lm (lock);
1606         return frame_at_beat_locked (_metrics, beat);
1607 }
1608
1609 double
1610 TempoMap::bbt_to_beats_locked (const Metrics& metrics, const Timecode::BBT_Time& bbt) const
1611 {
1612         /* CALLER HOLDS READ LOCK */
1613
1614         MeterSection* prev_m = 0;
1615
1616         /* because audio-locked meters have 'fake' integral beats,
1617            there is no pulse offset here.
1618         */
1619         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1620                 MeterSection* m;
1621                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1622                         if (prev_m) {
1623                                 const double bars_to_m = (m->beat() - prev_m->beat()) / prev_m->divisions_per_bar();
1624                                 if ((bars_to_m + (prev_m->bbt().bars - 1)) > (bbt.bars - 1)) {
1625                                         break;
1626                                 }
1627                         }
1628                         prev_m = m;
1629                 }
1630         }
1631
1632         const double remaining_bars = bbt.bars - prev_m->bbt().bars;
1633         const double remaining_bars_in_beats = remaining_bars * prev_m->divisions_per_bar();
1634         const double ret = remaining_bars_in_beats + prev_m->beat() + (bbt.beats - 1) + (bbt.ticks / BBT_Time::ticks_per_beat);
1635
1636         return ret;
1637 }
1638
1639 double
1640 TempoMap::bbt_to_beats (const Timecode::BBT_Time& bbt)
1641 {
1642         Glib::Threads::RWLock::ReaderLock lm (lock);
1643         return bbt_to_beats_locked (_metrics, bbt);
1644 }
1645
1646 Timecode::BBT_Time
1647 TempoMap::beats_to_bbt_locked (const Metrics& metrics, const double& b) const
1648 {
1649         /* CALLER HOLDS READ LOCK */
1650         MeterSection* prev_m = 0;
1651         const double beats = (b < 0.0) ? 0.0 : b;
1652
1653         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1654                 MeterSection* m = 0;
1655
1656                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1657                         if (prev_m) {
1658                                 if (m->beat() > beats) {
1659                                         /* this is the meter after the one our beat is on*/
1660                                         break;
1661                                 }
1662                         }
1663
1664                         prev_m = m;
1665                 }
1666         }
1667
1668         const double beats_in_ms = beats - prev_m->beat();
1669         const uint32_t bars_in_ms = (uint32_t) floor (beats_in_ms / prev_m->divisions_per_bar());
1670         const uint32_t total_bars = bars_in_ms + (prev_m->bbt().bars - 1);
1671         const double remaining_beats = beats_in_ms - (bars_in_ms * prev_m->divisions_per_bar());
1672         const double remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
1673
1674         BBT_Time ret;
1675
1676         ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
1677         ret.beats = (uint32_t) floor (remaining_beats);
1678         ret.bars = total_bars;
1679
1680         /* 0 0 0 to 1 1 0 - based mapping*/
1681         ++ret.bars;
1682         ++ret.beats;
1683
1684         if (ret.ticks >= BBT_Time::ticks_per_beat) {
1685                 ++ret.beats;
1686                 ret.ticks -= BBT_Time::ticks_per_beat;
1687         }
1688
1689         if (ret.beats >= prev_m->divisions_per_bar() + 1) {
1690                 ++ret.bars;
1691                 ret.beats = 1;
1692         }
1693
1694         return ret;
1695 }
1696
1697 Timecode::BBT_Time
1698 TempoMap::beats_to_bbt (const double& beats)
1699 {
1700         Glib::Threads::RWLock::ReaderLock lm (lock);
1701         return beats_to_bbt_locked (_metrics, beats);
1702 }
1703
1704 Timecode::BBT_Time
1705 TempoMap::pulse_to_bbt (const double& pulse)
1706 {
1707         Glib::Threads::RWLock::ReaderLock lm (lock);
1708         MeterSection* prev_m = 0;
1709
1710         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1711                 MeterSection* m = 0;
1712
1713                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1714
1715                         if (prev_m) {
1716                                 double const pulses_to_m = m->pulse() - prev_m->pulse();
1717                                 if (prev_m->pulse() + pulses_to_m > pulse) {
1718                                         /* this is the meter after the one our beat is on*/
1719                                         break;
1720                                 }
1721                         }
1722
1723                         prev_m = m;
1724                 }
1725         }
1726
1727         const double beats_in_ms = (pulse - prev_m->pulse()) * prev_m->note_divisor();
1728         const uint32_t bars_in_ms = (uint32_t) floor (beats_in_ms / prev_m->divisions_per_bar());
1729         const uint32_t total_bars = bars_in_ms + (prev_m->bbt().bars - 1);
1730         const double remaining_beats = beats_in_ms - (bars_in_ms * prev_m->divisions_per_bar());
1731         const double remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
1732
1733         BBT_Time ret;
1734
1735         ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
1736         ret.beats = (uint32_t) floor (remaining_beats);
1737         ret.bars = total_bars;
1738
1739         /* 0 0 0 to 1 1 0 mapping*/
1740         ++ret.bars;
1741         ++ret.beats;
1742
1743         if (ret.ticks >= BBT_Time::ticks_per_beat) {
1744                 ++ret.beats;
1745                 ret.ticks -= BBT_Time::ticks_per_beat;
1746         }
1747
1748         if (ret.beats >= prev_m->divisions_per_bar() + 1) {
1749                 ++ret.bars;
1750                 ret.beats = 1;
1751         }
1752
1753         return ret;
1754 }
1755
1756 void
1757 TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
1758 {
1759
1760         if (frame < 0) {
1761                 bbt.bars = 1;
1762                 bbt.beats = 1;
1763                 bbt.ticks = 0;
1764                 warning << string_compose (_("tempo map asked for BBT time at frame %1\n"), frame) << endmsg;
1765                 return;
1766         }
1767         Glib::Threads::RWLock::ReaderLock lm (lock);
1768         const double beat = beat_at_frame_locked (_metrics, frame);
1769
1770         bbt = beats_to_bbt_locked (_metrics, beat);
1771 }
1772
1773 /* meter section based */
1774 framepos_t
1775 TempoMap::frame_time_locked (const Metrics& metrics, const BBT_Time& bbt) const
1776 {
1777         /* HOLD THE READER LOCK */
1778
1779         const framepos_t ret = frame_at_beat_locked (metrics, bbt_to_beats_locked (metrics, bbt));
1780         return ret;
1781 }
1782
1783 framepos_t
1784 TempoMap::frame_time (const BBT_Time& bbt)
1785 {
1786         if (bbt.bars < 1) {
1787                 warning << string_compose (_("tempo map asked for frame time at bar < 1  (%1)\n"), bbt) << endmsg;
1788                 return 0;
1789         }
1790
1791         if (bbt.beats < 1) {
1792                 throw std::logic_error ("beats are counted from one");
1793         }
1794         Glib::Threads::RWLock::ReaderLock lm (lock);
1795
1796         return frame_time_locked (_metrics, bbt);
1797 }
1798
1799 bool
1800 TempoMap::check_solved (const Metrics& metrics, bool by_frame) const
1801 {
1802         TempoSection* prev_t = 0;
1803
1804         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1805                 TempoSection* t;
1806                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1807                         if (!t->active()) {
1808                                 continue;
1809                         }
1810                         if (prev_t) {
1811                                 if ((by_frame && t->frame() < prev_t->frame()) || (!by_frame && t->pulse() < prev_t->pulse())) {
1812                                         return false;
1813                                 }
1814
1815                                 if (t->frame() == prev_t->frame()) {
1816                                         return false;
1817                                 }
1818
1819                                 /* precision check ensures pulses and frames align.*/
1820                                 if (t->frame() != prev_t->frame_at_pulse (t->pulse(), _frame_rate)) {
1821                                         return false;
1822                                 }
1823                         }
1824                         prev_t = t;
1825                 }
1826         }
1827
1828         return true;
1829 }
1830
1831 bool
1832 TempoMap::set_active_tempos (const Metrics& metrics, const framepos_t& frame)
1833 {
1834         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1835                 TempoSection* t;
1836                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1837                         if (!t->movable()) {
1838                                 t->set_active (true);
1839                                 continue;
1840                         }
1841                         if (t->movable() && t->active () && t->position_lock_style() == AudioTime && t->frame() < frame) {
1842                                 t->set_active (false);
1843                                 t->set_pulse (0.0);
1844                         } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() > frame) {
1845                                 t->set_active (true);
1846                         } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() == frame) {
1847                                 return false;
1848                         }
1849                 }
1850         }
1851         return true;
1852 }
1853
1854 bool
1855 TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const framepos_t& frame)
1856 {
1857         TempoSection* prev_t = 0;
1858         TempoSection* section_prev = 0;
1859         framepos_t first_m_frame = 0;
1860
1861         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1862                 MeterSection* m;
1863                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1864                         if (!m->movable()) {
1865                                 first_m_frame = m->frame();
1866                                 break;
1867                         }
1868                 }
1869         }
1870         if (section->movable() && frame <= first_m_frame) {
1871                 return false;
1872         }
1873
1874         section->set_active (true);
1875         section->set_frame (frame);
1876
1877         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1878                 TempoSection* t;
1879                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1880
1881                         if (!t->active()) {
1882                                 continue;
1883                         }
1884                         if (prev_t) {
1885                                 if (t == section) {
1886                                         section_prev = prev_t;
1887                                         continue;
1888                                 }
1889                                 if (t->position_lock_style() == MusicTime) {
1890                                         prev_t->set_c_func (prev_t->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
1891                                         t->set_frame (prev_t->frame_at_pulse (t->pulse(), _frame_rate));
1892                                 } else {
1893                                         prev_t->set_c_func (prev_t->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
1894                                         t->set_pulse (prev_t->pulse_at_frame (t->frame(), _frame_rate));
1895                                 }
1896                         }
1897                         prev_t = t;
1898                 }
1899         }
1900
1901         if (section_prev) {
1902                 section_prev->set_c_func (section_prev->compute_c_func_frame (section->pulses_per_minute(), frame, _frame_rate));
1903                 section->set_pulse (section_prev->pulse_at_frame (frame, _frame_rate));
1904         }
1905
1906         if (section->position_lock_style() == MusicTime) {
1907                 /* we're setting the frame */
1908                 section->set_position_lock_style (AudioTime);
1909                 recompute_tempos (imaginary);
1910                 section->set_position_lock_style (MusicTime);
1911         } else {
1912                 recompute_tempos (imaginary);
1913         }
1914
1915         if (check_solved (imaginary, true)) {
1916                 recompute_meters (imaginary);
1917                 return true;
1918         }
1919
1920         MetricSectionFrameSorter fcmp;
1921         imaginary.sort (fcmp);
1922         if (section->position_lock_style() == MusicTime) {
1923                 /* we're setting the frame */
1924                 section->set_position_lock_style (AudioTime);
1925                 recompute_tempos (imaginary);
1926                 section->set_position_lock_style (MusicTime);
1927         } else {
1928                 recompute_tempos (imaginary);
1929         }
1930
1931         if (check_solved (imaginary, true)) {
1932                 recompute_meters (imaginary);
1933                 return true;
1934         }
1935 #if (0)
1936         MetricSectionSorter cmp;
1937         imaginary.sort (cmp);
1938         if (section->position_lock_style() == MusicTime) {
1939                 /* we're setting the frame */
1940                 section->set_position_lock_style (AudioTime);
1941                 recompute_tempos (imaginary);
1942                 section->set_position_lock_style (MusicTime);
1943         } else {
1944                 recompute_tempos (imaginary);
1945         }
1946
1947         if (check_solved (imaginary, true)) {
1948                 recompute_meters (imaginary);
1949                 return true;
1950         }
1951 #endif
1952         //dump (imaginary, std::cerr);
1953
1954         return false;
1955 }
1956
1957 bool
1958 TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const double& pulse)
1959 {
1960         TempoSection* prev_t = 0;
1961         TempoSection* section_prev = 0;
1962
1963         section->set_pulse (pulse);
1964
1965         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1966                 TempoSection* t;
1967                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1968                         if (!t->active()) {
1969                                 continue;
1970                         }
1971                         if (!t->movable()) {
1972                                 t->set_pulse (0.0);
1973                                 prev_t = t;
1974                                 continue;
1975                         }
1976                         if (prev_t) {
1977                                 if (t == section) {
1978                                         section_prev = prev_t;
1979                                         continue;
1980                                 }
1981                                 if (t->position_lock_style() == MusicTime) {
1982                                         prev_t->set_c_func (prev_t->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
1983                                         t->set_frame (prev_t->frame_at_pulse (t->pulse(), _frame_rate));
1984                                 } else {
1985                                         prev_t->set_c_func (prev_t->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
1986                                         t->set_pulse (prev_t->pulse_at_frame (t->frame(), _frame_rate));
1987                                 }
1988                         }
1989                         prev_t = t;
1990                 }
1991         }
1992         if (section_prev) {
1993                 section_prev->set_c_func (section_prev->compute_c_func_pulse (section->pulses_per_minute(), pulse, _frame_rate));
1994                 section->set_frame (section_prev->frame_at_pulse (pulse, _frame_rate));
1995         }
1996
1997         if (section->position_lock_style() == AudioTime) {
1998                 /* we're setting the pulse */
1999                 section->set_position_lock_style (MusicTime);
2000                 recompute_tempos (imaginary);
2001                 section->set_position_lock_style (AudioTime);
2002         } else {
2003                 recompute_tempos (imaginary);
2004         }
2005
2006         if (check_solved (imaginary, false)) {
2007                 recompute_meters (imaginary);
2008                 return true;
2009         }
2010
2011         MetricSectionSorter cmp;
2012         imaginary.sort (cmp);
2013         if (section->position_lock_style() == AudioTime) {
2014                 /* we're setting the pulse */
2015                 section->set_position_lock_style (MusicTime);
2016                 recompute_tempos (imaginary);
2017                 section->set_position_lock_style (AudioTime);
2018         } else {
2019                 recompute_tempos (imaginary);
2020         }
2021
2022         if (check_solved (imaginary, false)) {
2023                 recompute_meters (imaginary);
2024                 return true;
2025         }
2026 #if (0)
2027         MetricSectionFrameSorter fcmp;
2028         imaginary.sort (fcmp);
2029         if (section->position_lock_style() == AudioTime) {
2030                 /* we're setting the pulse */
2031                 section->set_position_lock_style (MusicTime);
2032                 recompute_tempos (imaginary);
2033                 section->set_position_lock_style (AudioTime);
2034         } else {
2035                 recompute_tempos (imaginary);
2036         }
2037
2038         if (check_solved (imaginary, false)) {
2039                 recompute_meters (imaginary);
2040                 return true;
2041         }
2042 #endif
2043         //dump (imaginary, std::cerr);
2044
2045         return false;
2046 }
2047
2048 void
2049 TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const framepos_t& frame)
2050 {
2051         /* disallow moving first meter past any subsequent one, and any movable meter before the first one */
2052         const MeterSection* other =  &meter_section_at_locked (imaginary, frame);
2053         if ((!section->movable() && other->movable()) || (!other->movable() && section->movable() && other->frame() >= frame)) {
2054                 return;
2055         }
2056         MeterSection* prev_m = 0;
2057
2058         if (!section->movable()) {
2059                 /* lock the first tempo to our first meter */
2060                 if (!set_active_tempos (imaginary, frame)) {
2061                         return;
2062                 }
2063                 TempoSection* first_t = &first_tempo();
2064                 Metrics future_map;
2065                 TempoSection* new_section = copy_metrics_and_point (future_map, first_t);
2066
2067                 new_section->set_frame (frame);
2068                 new_section->set_pulse (0.0);
2069                 new_section->set_active (true);
2070
2071                 if (solve_map (future_map, new_section, frame)) {
2072                         first_t->set_frame (frame);
2073                         first_t->set_pulse (0.0);
2074                         first_t->set_active (true);
2075                         solve_map (imaginary, first_t, frame);
2076                 } else {
2077                         return;
2078                 }
2079         }
2080
2081         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
2082                 MeterSection* m;
2083                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2084                         if (m == section){
2085                                 double new_pulse = 0.0;
2086                                 if (prev_m && section->movable()) {
2087                                         const double beats = ((pulse_at_frame_locked (imaginary, frame) - prev_m->pulse()) * prev_m->note_divisor());
2088                                         if (beats + prev_m->beat() < section->beat()) {
2089                                                 /* disallow position change if it will alter our beat
2090                                                    we allow tempo changes to do this in recompute_meters().
2091                                                    blocking this is an option, but i'm not convinced that
2092                                                    this is what the user would actually want.
2093                                                    here we set the frame/pulse corresponding to its musical position.
2094                                                 */
2095                                                 new_pulse = ((section->beat() - prev_m->beat()) / prev_m->note_divisor()) + prev_m->pulse();
2096                                                 section->set_frame (frame_at_pulse_locked (imaginary, new_pulse));
2097                                                 section->set_pulse (new_pulse);
2098                                                 break;
2099                                         }
2100                                         new_pulse = pulse_at_frame_locked (imaginary, frame);
2101                                 } else {
2102                                         pair<double, BBT_Time> b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2103                                         section->set_beat (b_bbt);
2104                                 }
2105                                 section->set_frame (frame);
2106                                 section->set_pulse (new_pulse);
2107                                 break;
2108                         }
2109
2110                         prev_m = m;
2111                 }
2112         }
2113
2114         MetricSectionFrameSorter fcmp;
2115         imaginary.sort (fcmp);
2116         if (section->position_lock_style() == MusicTime) {
2117                 /* we're setting the frame */
2118                 section->set_position_lock_style (AudioTime);
2119                 recompute_meters (imaginary);
2120                 section->set_position_lock_style (MusicTime);
2121         } else {
2122                 recompute_meters (imaginary);
2123         }
2124         //dump (imaginary, std::cerr);
2125 }
2126
2127 void
2128 TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const double& pulse)
2129 {
2130         MeterSection* prev_m = 0;
2131
2132         section->set_pulse (pulse);
2133
2134         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
2135                 MeterSection* m;
2136                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2137                         if (prev_m && m == section){
2138                                 /* the first meter is always audio-locked, so prev_m should exist.
2139                                    should we allow setting audio locked meters by pulse?
2140                                 */
2141                                 const double beats = ((pulse - prev_m->pulse()) * prev_m->note_divisor());
2142                                 const int32_t bars = (beats + 1) / prev_m->divisions_per_bar();
2143                                 pair<double, BBT_Time> b_bbt = make_pair (beats + prev_m->beat(), BBT_Time (bars + prev_m->bbt().bars, 1, 0));
2144                                 section->set_beat (b_bbt);
2145                                 section->set_frame (frame_at_pulse_locked (imaginary, pulse));
2146                                 break;
2147                         }
2148
2149                         prev_m = m;
2150                 }
2151         }
2152
2153         MetricSectionSorter cmp;
2154         imaginary.sort (cmp);
2155         if (section->position_lock_style() == AudioTime) {
2156                 /* we're setting the pulse */
2157                 section->set_position_lock_style (MusicTime);
2158                 recompute_meters (imaginary);
2159                 section->set_position_lock_style (AudioTime);
2160         } else {
2161                 recompute_meters (imaginary);
2162         }
2163 }
2164
2165 /** places a copy of _metrics into copy and returns a pointer
2166  *  to section's equivalent in copy.
2167  */
2168 TempoSection*
2169 TempoMap::copy_metrics_and_point (Metrics& copy, TempoSection* section)
2170 {
2171         TempoSection* t;
2172         MeterSection* m;
2173         TempoSection* ret = 0;
2174
2175         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2176                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2177                         if (t == section) {
2178                                 if (t->position_lock_style() == MusicTime) {
2179                                         ret = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
2180                                         ret->set_frame (t->frame());
2181                                 } else {
2182                                         ret = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
2183                                         ret->set_pulse (t->pulse());
2184                                 }
2185                                 ret->set_active (t->active());
2186                                 ret->set_movable (t->movable());
2187                                 copy.push_back (ret);
2188                                 continue;
2189                         }
2190                         TempoSection* cp = 0;
2191                         if (t->position_lock_style() == MusicTime) {
2192                                 cp = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
2193                                 cp->set_frame (t->frame());
2194                         } else {
2195                                 cp = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
2196                                 cp->set_pulse (t->pulse());
2197                         }
2198                         cp->set_active (t->active());
2199                         cp->set_movable (t->movable());
2200                         copy.push_back (cp);
2201                 }
2202                 if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
2203                         MeterSection* cp = 0;
2204                         if (m->position_lock_style() == MusicTime) {
2205                                 cp = new MeterSection (m->pulse(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
2206                                 cp->set_frame (m->frame());
2207                         } else {
2208                                 cp = new MeterSection (m->frame(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
2209                                 cp->set_pulse (m->pulse());
2210                         }
2211                         cp->set_movable (m->movable());
2212                         copy.push_back (cp);
2213                 }
2214         }
2215
2216         return ret;
2217 }
2218
2219 bool
2220 TempoMap::can_solve_bbt (TempoSection* ts, const BBT_Time& bbt)
2221 {
2222         Metrics copy;
2223         TempoSection* new_section = 0;
2224
2225         {
2226                 Glib::Threads::RWLock::ReaderLock lm (lock);
2227                 new_section = copy_metrics_and_point (copy, ts);
2228         }
2229
2230         double const beat = bbt_to_beats_locked (copy, bbt);
2231         bool ret = solve_map (copy, new_section, pulse_at_beat_locked (copy, beat));
2232
2233         Metrics::const_iterator d = copy.begin();
2234         while (d != copy.end()) {
2235                 delete (*d);
2236                 ++d;
2237         }
2238
2239         return ret;
2240 }
2241
2242 /**
2243 * This is for a gui that needs to know the frame of a tempo section if it were to be moved to some bbt time,
2244 * taking any possible reordering as a consequence of this into account.
2245 * @param section - the section to be altered
2246 * @param bpm - the new Tempo
2247 * @param bbt - the bbt where the altered tempo will fall
2248 * @return returns - the position in frames where the new tempo section will lie.
2249 */
2250 framepos_t
2251 TempoMap::predict_tempo_frame (TempoSection* section, const BBT_Time& bbt)
2252 {
2253         Glib::Threads::RWLock::ReaderLock lm (lock);
2254         Metrics future_map;
2255         framepos_t ret = 0;
2256         TempoSection* new_section = copy_metrics_and_point (future_map, section);
2257
2258         const double beat = bbt_to_beats_locked (future_map, bbt);
2259
2260         if (solve_map (future_map, new_section, pulse_at_beat_locked (future_map, beat))) {
2261                 ret = new_section->frame();
2262         } else {
2263                 ret = frame_at_beat_locked (_metrics, beat);
2264         }
2265
2266         Metrics::const_iterator d = future_map.begin();
2267         while (d != future_map.end()) {
2268                 delete (*d);
2269                 ++d;
2270         }
2271         return ret;
2272 }
2273
2274 double
2275 TempoMap::predict_tempo_pulse (TempoSection* section, const framepos_t& frame)
2276 {
2277         Glib::Threads::RWLock::ReaderLock lm (lock);
2278         Metrics future_map;
2279         double ret = 0.0;
2280         TempoSection* new_section = copy_metrics_and_point (future_map, section);
2281
2282         if (solve_map (future_map, new_section, frame)) {
2283                 ret = new_section->pulse();
2284         } else {
2285                 ret = pulse_at_frame_locked (_metrics, frame);
2286         }
2287
2288         Metrics::const_iterator d = future_map.begin();
2289         while (d != future_map.end()) {
2290                 delete (*d);
2291                 ++d;
2292         }
2293         return ret;
2294 }
2295
2296 void
2297 TempoMap::gui_move_tempo_frame (TempoSection* ts, const framepos_t& frame)
2298 {
2299         Metrics future_map;
2300         {
2301                 Glib::Threads::RWLock::WriterLock lm (lock);
2302                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2303                 if (solve_map (future_map, new_section, frame)) {
2304                         solve_map (_metrics, ts, frame);
2305                 }
2306         }
2307
2308         Metrics::const_iterator d = future_map.begin();
2309         while (d != future_map.end()) {
2310                 delete (*d);
2311                 ++d;
2312         }
2313
2314         MetricPositionChanged (); // Emit Signal
2315 }
2316
2317 void
2318 TempoMap::gui_move_tempo_beat (TempoSection* ts, const double& beat)
2319 {
2320         Metrics future_map;
2321         {
2322                 Glib::Threads::RWLock::WriterLock lm (lock);
2323                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2324                 if (solve_map (future_map, new_section, pulse_at_beat_locked (future_map, beat))) {
2325                         solve_map (_metrics, ts, pulse_at_beat_locked (_metrics, beat));
2326                 }
2327         }
2328
2329         Metrics::const_iterator d = future_map.begin();
2330         while (d != future_map.end()) {
2331                 delete (*d);
2332                 ++d;
2333         }
2334
2335         MetricPositionChanged (); // Emit Signal
2336 }
2337
2338 void
2339 TempoMap::gui_move_meter (MeterSection* ms, const framepos_t&  frame)
2340 {
2341         {
2342                 Glib::Threads::RWLock::WriterLock lm (lock);
2343                 solve_map (_metrics, ms, frame);
2344         }
2345
2346         MetricPositionChanged (); // Emit Signal
2347 }
2348
2349 void
2350 TempoMap::gui_move_meter (MeterSection* ms, const double&  beat)
2351 {
2352         {
2353                 Glib::Threads::RWLock::WriterLock lm (lock);
2354                 solve_map (_metrics, ms, pulse_at_beat_locked (_metrics, beat));
2355         }
2356
2357         MetricPositionChanged (); // Emit Signal
2358 }
2359
2360 bool
2361 TempoMap::gui_change_tempo (TempoSection* ts, const Tempo& bpm)
2362 {
2363         Metrics future_map;
2364         bool can_solve = false;
2365         {
2366                 Glib::Threads::RWLock::WriterLock lm (lock);
2367                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2368                 new_section->set_beats_per_minute (bpm.beats_per_minute());
2369                 recompute_tempos (future_map);
2370
2371                 if (check_solved (future_map, true)) {
2372                         ts->set_beats_per_minute (bpm.beats_per_minute());
2373                         recompute_map (_metrics);
2374                         can_solve = true;
2375                 }
2376         }
2377
2378         Metrics::const_iterator d = future_map.begin();
2379         while (d != future_map.end()) {
2380                 delete (*d);
2381                 ++d;
2382         }
2383         if (can_solve) {
2384                 MetricPositionChanged (); // Emit Signal
2385         }
2386         return can_solve;
2387 }
2388
2389 framecnt_t
2390 TempoMap::bbt_duration_at (framepos_t pos, const BBT_Time& bbt, int dir)
2391 {
2392         Glib::Threads::RWLock::ReaderLock lm (lock);
2393
2394         const double tick_at_time = beat_at_frame_locked (_metrics, pos) * BBT_Time::ticks_per_beat;
2395         const double bbt_ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
2396         const double total_beats = (tick_at_time + bbt_ticks) / BBT_Time::ticks_per_beat;
2397
2398         return frame_at_beat_locked (_metrics, total_beats);
2399 }
2400
2401 framepos_t
2402 TempoMap::round_to_bar (framepos_t fr, RoundMode dir)
2403 {
2404         return round_to_type (fr, dir, Bar);
2405 }
2406
2407 framepos_t
2408 TempoMap::round_to_beat (framepos_t fr, RoundMode dir)
2409 {
2410         return round_to_type (fr, dir, Beat);
2411 }
2412
2413 framepos_t
2414 TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, RoundMode dir)
2415 {
2416         Glib::Threads::RWLock::ReaderLock lm (lock);
2417         uint32_t ticks = (uint32_t) floor (beat_at_frame_locked (_metrics, fr) * BBT_Time::ticks_per_beat);
2418         uint32_t beats = (uint32_t) floor (ticks / BBT_Time::ticks_per_beat);
2419         uint32_t ticks_one_subdivisions_worth = (uint32_t) BBT_Time::ticks_per_beat / sub_num;
2420
2421         ticks -= beats * BBT_Time::ticks_per_beat;
2422
2423         if (dir > 0) {
2424                 /* round to next (or same iff dir == RoundUpMaybe) */
2425
2426                 uint32_t mod = ticks % ticks_one_subdivisions_worth;
2427
2428                 if (mod == 0 && dir == RoundUpMaybe) {
2429                         /* right on the subdivision, which is fine, so do nothing */
2430
2431                 } else if (mod == 0) {
2432                         /* right on the subdivision, so the difference is just the subdivision ticks */
2433                         ticks += ticks_one_subdivisions_worth;
2434
2435                 } else {
2436                         /* not on subdivision, compute distance to next subdivision */
2437
2438                         ticks += ticks_one_subdivisions_worth - mod;
2439                 }
2440
2441                 if (ticks >= BBT_Time::ticks_per_beat) {
2442                         ticks -= BBT_Time::ticks_per_beat;
2443                 }
2444         } else if (dir < 0) {
2445
2446                 /* round to previous (or same iff dir == RoundDownMaybe) */
2447
2448                 uint32_t difference = ticks % ticks_one_subdivisions_worth;
2449
2450                 if (difference == 0 && dir == RoundDownAlways) {
2451                         /* right on the subdivision, but force-rounding down,
2452                            so the difference is just the subdivision ticks */
2453                         difference = ticks_one_subdivisions_worth;
2454                 }
2455
2456                 if (ticks < difference) {
2457                         ticks = BBT_Time::ticks_per_beat - ticks;
2458                 } else {
2459                         ticks -= difference;
2460                 }
2461
2462         } else {
2463                 /* round to nearest */
2464                 double rem;
2465
2466                 /* compute the distance to the previous and next subdivision */
2467
2468                 if ((rem = fmod ((double) ticks, (double) ticks_one_subdivisions_worth)) > ticks_one_subdivisions_worth/2.0) {
2469
2470                         /* closer to the next subdivision, so shift forward */
2471
2472                         ticks = lrint (ticks + (ticks_one_subdivisions_worth - rem));
2473
2474                         DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved forward to %1\n", ticks));
2475
2476                         if (ticks > BBT_Time::ticks_per_beat) {
2477                                 ++beats;
2478                                 ticks -= BBT_Time::ticks_per_beat;
2479                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("fold beat to %1\n", beats));
2480                         }
2481
2482                 } else if (rem > 0) {
2483
2484                         /* closer to previous subdivision, so shift backward */
2485
2486                         if (rem > ticks) {
2487                                 if (beats == 0) {
2488                                         /* can't go backwards past zero, so ... */
2489                                         return 0;
2490                                 }
2491                                 /* step back to previous beat */
2492                                 --beats;
2493                                 ticks = lrint (BBT_Time::ticks_per_beat - rem);
2494                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("step back beat to %1\n", beats));
2495                         } else {
2496                                 ticks = lrint (ticks - rem);
2497                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved backward to %1\n", ticks));
2498                         }
2499                 } else {
2500                         /* on the subdivision, do nothing */
2501                 }
2502         }
2503
2504         const framepos_t ret_frame = frame_at_beat_locked (_metrics, beats + (ticks / BBT_Time::ticks_per_beat));
2505
2506         return ret_frame;
2507 }
2508
2509 void
2510 TempoMap::round_bbt (BBT_Time& when, const int32_t& sub_num)
2511 {
2512         if (sub_num == -1) {
2513                 const double bpb = meter_section_at_beat (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
2514                 if ((double) when.beats > bpb / 2.0) {
2515                         ++when.bars;
2516                 }
2517                 when.beats = 1;
2518                 when.ticks = 0;
2519                 return;
2520         } else if (sub_num == 0) {
2521                 const double bpb = meter_section_at_beat (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
2522                 if ((double) when.ticks > BBT_Time::ticks_per_beat / 2.0) {
2523                         ++when.beats;
2524                         while ((double) when.beats > bpb) {
2525                                 ++when.bars;
2526                                 when.beats -= (uint32_t) floor (bpb);
2527                         }
2528                 }
2529                 when.ticks = 0;
2530                 return;
2531         }
2532         const uint32_t ticks_one_subdivisions_worth = BBT_Time::ticks_per_beat / sub_num;
2533         double rem;
2534         if ((rem = fmod ((double) when.ticks, (double) ticks_one_subdivisions_worth)) > (ticks_one_subdivisions_worth / 2.0)) {
2535                 /* closer to the next subdivision, so shift forward */
2536
2537                 when.ticks = when.ticks + (ticks_one_subdivisions_worth - rem);
2538
2539                 if (when.ticks > Timecode::BBT_Time::ticks_per_beat) {
2540                         ++when.beats;
2541                         when.ticks -= Timecode::BBT_Time::ticks_per_beat;
2542                 }
2543
2544         } else if (rem > 0) {
2545                 /* closer to previous subdivision, so shift backward */
2546
2547                 if (rem > when.ticks) {
2548                         if (when.beats == 0) {
2549                                 /* can't go backwards past zero, so ... */
2550                         }
2551                         /* step back to previous beat */
2552                         --when.beats;
2553                         when.ticks = Timecode::BBT_Time::ticks_per_beat - rem;
2554                 } else {
2555                         when.ticks = when.ticks - rem;
2556                 }
2557         }
2558 }
2559
2560 framepos_t
2561 TempoMap::round_to_type (framepos_t frame, RoundMode dir, BBTPointType type)
2562 {
2563         Glib::Threads::RWLock::ReaderLock lm (lock);
2564
2565         const double beat_at_framepos = beat_at_frame_locked (_metrics, frame);
2566         BBT_Time bbt (beats_to_bbt_locked (_metrics, beat_at_framepos));
2567
2568         switch (type) {
2569         case Bar:
2570                 if (dir < 0) {
2571                         /* find bar previous to 'frame' */
2572                         bbt.beats = 1;
2573                         bbt.ticks = 0;
2574                         return frame_time_locked (_metrics, bbt);
2575
2576                 } else if (dir > 0) {
2577                         /* find bar following 'frame' */
2578                         ++bbt.bars;
2579                         bbt.beats = 1;
2580                         bbt.ticks = 0;
2581                         return frame_time_locked (_metrics, bbt);
2582                 } else {
2583                         /* true rounding: find nearest bar */
2584                         framepos_t raw_ft = frame_time_locked (_metrics, bbt);
2585                         bbt.beats = 1;
2586                         bbt.ticks = 0;
2587                         framepos_t prev_ft = frame_time_locked (_metrics, bbt);
2588                         ++bbt.bars;
2589                         framepos_t next_ft = frame_time_locked (_metrics, bbt);
2590
2591                         if ((raw_ft - prev_ft) > (next_ft - prev_ft) / 2) {
2592                                 return next_ft;
2593                         } else {
2594                                 return prev_ft;
2595                         }
2596                 }
2597
2598                 break;
2599
2600         case Beat:
2601                 if (dir < 0) {
2602                         return frame_at_beat_locked (_metrics, floor (beat_at_framepos));
2603                 } else if (dir > 0) {
2604                         return frame_at_beat_locked (_metrics, ceil (beat_at_framepos));
2605                 } else {
2606                         return frame_at_beat_locked (_metrics, floor (beat_at_framepos + 0.5));
2607                 }
2608                 break;
2609         }
2610
2611         return 0;
2612 }
2613
2614 void
2615 TempoMap::get_grid (vector<TempoMap::BBTPoint>& points,
2616                     framepos_t lower, framepos_t upper)
2617 {
2618         Glib::Threads::RWLock::ReaderLock lm (lock);
2619         int32_t cnt = ceil (beat_at_frame_locked (_metrics, lower));
2620         framecnt_t pos = 0;
2621         /* although the map handles negative beats, bbt doesn't. */
2622         if (cnt < 0.0) {
2623                 cnt = 0.0;
2624         }
2625         while (pos < upper) {
2626                 pos = frame_at_beat_locked (_metrics, cnt);
2627                 const TempoSection tempo = tempo_section_at_locked (_metrics, pos);
2628                 const MeterSection meter = meter_section_at_locked (_metrics, pos);
2629                 const BBT_Time bbt = beats_to_bbt (cnt);
2630                 points.push_back (BBTPoint (meter, tempo_at_locked (_metrics, pos), pos, bbt.bars, bbt.beats, tempo.c_func()));
2631                 ++cnt;
2632         }
2633 }
2634
2635 const TempoSection&
2636 TempoMap::tempo_section_at (framepos_t frame) const
2637 {
2638         Glib::Threads::RWLock::ReaderLock lm (lock);
2639         return tempo_section_at_locked (_metrics, frame);
2640 }
2641
2642 const TempoSection&
2643 TempoMap::tempo_section_at_locked (const Metrics& metrics, framepos_t frame) const
2644 {
2645         Metrics::const_iterator i;
2646         TempoSection* prev = 0;
2647
2648         for (i = metrics.begin(); i != metrics.end(); ++i) {
2649                 TempoSection* t;
2650
2651                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2652                         if (!t->active()) {
2653                                 continue;
2654                         }
2655                         if (prev && t->frame() > frame) {
2656                                 break;
2657                         }
2658
2659                         prev = t;
2660                 }
2661         }
2662
2663         if (prev == 0) {
2664                 fatal << endmsg;
2665                 abort(); /*NOTREACHED*/
2666         }
2667
2668         return *prev;
2669 }
2670
2671 const TempoSection&
2672 TempoMap::tempo_section_at_beat_locked (const Metrics& metrics, const double& beat) const
2673 {
2674         TempoSection* prev_t = 0;
2675         const MeterSection* prev_m = &meter_section_at_beat_locked (metrics, beat);
2676
2677         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
2678                 TempoSection* t;
2679                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2680                         if (prev_t && ((t->pulse() - prev_m->pulse()) * prev_m->note_divisor()) + prev_m->beat() > beat) {
2681                                 break;
2682                         }
2683                         prev_t = t;
2684                 }
2685
2686         }
2687         return *prev_t;
2688 }
2689
2690 /* don't use this to calculate length (the tempo is only correct for this frame).
2691    do that stuff based on the beat_at_frame and frame_at_beat api
2692 */
2693 double
2694 TempoMap::frames_per_beat_at (const framepos_t& frame, const framecnt_t& sr) const
2695 {
2696         Glib::Threads::RWLock::ReaderLock lm (lock);
2697
2698         const TempoSection* ts_at = &tempo_section_at_locked (_metrics, frame);
2699         const TempoSection* ts_after = 0;
2700         Metrics::const_iterator i;
2701
2702         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2703                 TempoSection* t;
2704
2705                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2706                         if (!t->active()) {
2707                                 continue;
2708                         }
2709                         if ((*i)->frame() > frame) {
2710                                 ts_after = t;
2711                                 break;
2712                         }
2713                 }
2714         }
2715
2716         if (ts_after) {
2717                 return  (60.0 * _frame_rate) / (ts_at->tempo_at_frame (frame, _frame_rate));
2718         }
2719         /* must be treated as constant tempo */
2720         return ts_at->frames_per_beat (_frame_rate);
2721 }
2722
2723 const Tempo
2724 TempoMap::tempo_at_locked (const Metrics& metrics, const framepos_t& frame) const
2725 {
2726         TempoSection* prev_t = 0;
2727
2728         Metrics::const_iterator i;
2729
2730         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2731                 TempoSection* t;
2732                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2733                         if (!t->active()) {
2734                                 continue;
2735                         }
2736                         if ((prev_t) && t->frame() > frame) {
2737                                 /* t is the section past frame */
2738                                 const double ret_bpm = prev_t->tempo_at_frame (frame, _frame_rate) * prev_t->note_type();
2739                                 const Tempo ret_tempo (ret_bpm, prev_t->note_type());
2740                                 return ret_tempo;
2741                         }
2742                         prev_t = t;
2743                 }
2744         }
2745
2746         const double ret = prev_t->beats_per_minute();
2747         const Tempo ret_tempo (ret, prev_t->note_type ());
2748
2749         return ret_tempo;
2750 }
2751
2752 const Tempo
2753 TempoMap::tempo_at (const framepos_t& frame) const
2754 {
2755         Glib::Threads::RWLock::ReaderLock lm (lock);
2756         return tempo_at_locked (_metrics, frame);
2757 }
2758
2759 const MeterSection&
2760 TempoMap::meter_section_at_locked (const Metrics& metrics, framepos_t frame) const
2761 {
2762         Metrics::const_iterator i;
2763         MeterSection* prev = 0;
2764
2765         for (i = metrics.begin(); i != metrics.end(); ++i) {
2766                 MeterSection* m;
2767
2768                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2769
2770                         if (prev && (*i)->frame() > frame) {
2771                                 break;
2772                         }
2773
2774                         prev = m;
2775                 }
2776         }
2777
2778         if (prev == 0) {
2779                 fatal << endmsg;
2780                 abort(); /*NOTREACHED*/
2781         }
2782
2783         return *prev;
2784 }
2785
2786
2787 const MeterSection&
2788 TempoMap::meter_section_at (framepos_t frame) const
2789 {
2790         Glib::Threads::RWLock::ReaderLock lm (lock);
2791         return meter_section_at_locked (_metrics, frame);
2792 }
2793
2794 const MeterSection&
2795 TempoMap::meter_section_at_beat_locked (const Metrics& metrics, const double& beat) const
2796 {
2797         MeterSection* prev_m = 0;
2798
2799         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
2800                 MeterSection* m;
2801                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2802                         if (prev_m && m->beat() > beat) {
2803                                 break;
2804                         }
2805                         prev_m = m;
2806                 }
2807
2808         }
2809         return *prev_m;
2810 }
2811
2812 const MeterSection&
2813 TempoMap::meter_section_at_beat (double beat) const
2814 {
2815         Glib::Threads::RWLock::ReaderLock lm (lock);
2816         return meter_section_at_beat_locked (_metrics, beat);
2817 }
2818
2819 const Meter&
2820 TempoMap::meter_at (framepos_t frame) const
2821 {
2822         TempoMetric m (metric_at (frame));
2823         return m.meter();
2824 }
2825
2826 void
2827 TempoMap::fix_legacy_session ()
2828 {
2829         MeterSection* prev_m = 0;
2830         TempoSection* prev_t = 0;
2831
2832         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2833                 MeterSection* m;
2834                 TempoSection* t;
2835
2836                 if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
2837                         if (!m->movable()) {
2838                                 pair<double, BBT_Time> bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2839                                 m->set_beat (bbt);
2840                                 m->set_pulse (0.0);
2841                                 m->set_frame (0);
2842                                 m->set_position_lock_style (AudioTime);
2843                                 prev_m = m;
2844                                 continue;
2845                         }
2846                         if (prev_m) {
2847                                 pair<double, BBT_Time> start = make_pair (((m->bbt().bars - 1) * prev_m->note_divisor())
2848                                                                           + (m->bbt().beats - 1)
2849                                                                           + (m->bbt().ticks / BBT_Time::ticks_per_beat)
2850                                                                           , m->bbt());
2851                                 m->set_beat (start);
2852                                 const double start_beat = ((m->bbt().bars - 1) * prev_m->note_divisor())
2853                                         + (m->bbt().beats - 1)
2854                                         + (m->bbt().ticks / BBT_Time::ticks_per_beat);
2855                                 m->set_pulse (start_beat / prev_m->note_divisor());
2856                         }
2857                         prev_m = m;
2858                 } else if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
2859
2860                         if (!t->active()) {
2861                                 continue;
2862                         }
2863
2864                         if (!t->movable()) {
2865                                 t->set_pulse (0.0);
2866                                 t->set_frame (0);
2867                                 t->set_position_lock_style (AudioTime);
2868                                 prev_t = t;
2869                                 continue;
2870                         }
2871
2872                         if (prev_t) {
2873                                 const double beat = ((t->legacy_bbt().bars - 1) * ((prev_m) ? prev_m->note_divisor() : 4.0))
2874                                         + (t->legacy_bbt().beats - 1)
2875                                         + (t->legacy_bbt().ticks / BBT_Time::ticks_per_beat);
2876                                 if (prev_m) {
2877                                         t->set_pulse (beat / prev_m->note_divisor());
2878                                 } else {
2879                                         /* really shouldn't happen but.. */
2880                                         t->set_pulse (beat / 4.0);
2881                                 }
2882                         }
2883                         prev_t = t;
2884                 }
2885         }
2886 }
2887
2888 XMLNode&
2889 TempoMap::get_state ()
2890 {
2891         Metrics::const_iterator i;
2892         XMLNode *root = new XMLNode ("TempoMap");
2893
2894         {
2895                 Glib::Threads::RWLock::ReaderLock lm (lock);
2896                 for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2897                         root->add_child_nocopy ((*i)->get_state());
2898                 }
2899         }
2900
2901         return *root;
2902 }
2903
2904 int
2905 TempoMap::set_state (const XMLNode& node, int /*version*/)
2906 {
2907         {
2908                 Glib::Threads::RWLock::WriterLock lm (lock);
2909
2910                 XMLNodeList nlist;
2911                 XMLNodeConstIterator niter;
2912                 Metrics old_metrics (_metrics);
2913                 _metrics.clear();
2914
2915                 nlist = node.children();
2916
2917                 for (niter = nlist.begin(); niter != nlist.end(); ++niter) {
2918                         XMLNode* child = *niter;
2919
2920                         if (child->name() == TempoSection::xml_state_node_name) {
2921
2922                                 try {
2923                                         TempoSection* ts = new TempoSection (*child);
2924                                         _metrics.push_back (ts);
2925                                 }
2926
2927                                 catch (failed_constructor& err){
2928                                         error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
2929                                         _metrics = old_metrics;
2930                                         break;
2931                                 }
2932
2933                         } else if (child->name() == MeterSection::xml_state_node_name) {
2934
2935                                 try {
2936                                         MeterSection* ms = new MeterSection (*child);
2937                                         _metrics.push_back (ms);
2938                                 }
2939
2940                                 catch (failed_constructor& err) {
2941                                         error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
2942                                         _metrics = old_metrics;
2943                                         break;
2944                                 }
2945                         }
2946                 }
2947
2948                 if (niter == nlist.end()) {
2949                         MetricSectionSorter cmp;
2950                         _metrics.sort (cmp);
2951                 }
2952
2953                 /* check for legacy sessions where bbt was the base musical unit for tempo */
2954                 for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2955                         TempoSection* t;
2956                         if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2957                                 if (t->legacy_bbt().bars != 0) {
2958                                         fix_legacy_session();
2959                                         break;
2960                                 }
2961                                 break;
2962                         }
2963                 }
2964
2965                 /* check for multiple tempo/meters at the same location, which
2966                    ardour2 somehow allowed.
2967                 */
2968
2969                 Metrics::iterator prev = _metrics.end();
2970                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2971                         if (prev != _metrics.end()) {
2972                                 MeterSection* ms;
2973                                 MeterSection* prev_m;
2974                                 TempoSection* ts;
2975                                 TempoSection* prev_t;
2976                                 if ((prev_m = dynamic_cast<MeterSection*>(*prev)) != 0 && (ms = dynamic_cast<MeterSection*>(*i)) != 0) {
2977                                         if (prev_m->pulse() == ms->pulse()) {
2978                                                 cerr << string_compose (_("Multiple meter definitions found at %1"), prev_m->pulse()) << endmsg;
2979                                                 error << string_compose (_("Multiple meter definitions found at %1"), prev_m->pulse()) << endmsg;
2980                                                 return -1;
2981                                         }
2982                                 } else if ((prev_t = dynamic_cast<TempoSection*>(*prev)) != 0 && (ts = dynamic_cast<TempoSection*>(*i)) != 0) {
2983                                         if (prev_t->pulse() == ts->pulse()) {
2984                                                 cerr << string_compose (_("Multiple tempo definitions found at %1"), prev_t->pulse()) << endmsg;
2985                                                 error << string_compose (_("Multiple tempo definitions found at %1"), prev_t->pulse()) << endmsg;
2986                                                 return -1;
2987                                         }
2988                                 }
2989                         }
2990                         prev = i;
2991                 }
2992
2993                 recompute_map (_metrics);
2994         }
2995
2996         PropertyChanged (PropertyChange ());
2997
2998         return 0;
2999 }
3000
3001 void
3002 TempoMap::dump (const Metrics& metrics, std::ostream& o) const
3003 {
3004         Glib::Threads::RWLock::ReaderLock lm (lock, Glib::Threads::TRY_LOCK);
3005         const MeterSection* m;
3006         const TempoSection* t;
3007         const TempoSection* prev_t = 0;
3008
3009         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
3010
3011                 if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
3012                         o << "Tempo @ " << *i << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->pulse() << " frame= " << t->frame() << " (movable? "
3013                           << t->movable() << ')' << " pos lock: " << enum_2_string (t->position_lock_style()) << std::endl;
3014                         o << "current      : " << t->beats_per_minute() << " | " << t->pulse() << " | " << t->frame() << std::endl;
3015                         if (prev_t) {
3016                                 o << "previous     : " << prev_t->beats_per_minute() << " | " << prev_t->pulse() << " | " << prev_t->frame() << std::endl;
3017                                 o << "calculated   : " << prev_t->tempo_at_pulse (t->pulse()) *  prev_t->note_type() << " | " << prev_t->pulse_at_tempo (t->pulses_per_minute(), t->frame(), _frame_rate) <<  " | " << prev_t->frame_at_tempo (t->pulses_per_minute(), t->pulse(), _frame_rate) << std::endl;
3018                         }
3019                         prev_t = t;
3020                 } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
3021                         o << "Meter @ " << *i << ' ' << m->divisions_per_bar() << '/' << m->note_divisor() << " at " << m->bbt() << " frame= " << m->frame()
3022                           << " pulse: " << m->pulse() <<  " beat : " << m->beat() << " pos lock: " << enum_2_string (m->position_lock_style()) << " (movable? " << m->movable() << ')' << endl;
3023                 }
3024         }
3025         o << "------" << std::endl;
3026 }
3027
3028 int
3029 TempoMap::n_tempos() const
3030 {
3031         Glib::Threads::RWLock::ReaderLock lm (lock);
3032         int cnt = 0;
3033
3034         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3035                 if (dynamic_cast<const TempoSection*>(*i) != 0) {
3036                         cnt++;
3037                 }
3038         }
3039
3040         return cnt;
3041 }
3042
3043 int
3044 TempoMap::n_meters() const
3045 {
3046         Glib::Threads::RWLock::ReaderLock lm (lock);
3047         int cnt = 0;
3048
3049         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3050                 if (dynamic_cast<const MeterSection*>(*i) != 0) {
3051                         cnt++;
3052                 }
3053         }
3054
3055         return cnt;
3056 }
3057
3058 void
3059 TempoMap::insert_time (framepos_t where, framecnt_t amount)
3060 {
3061         {
3062                 Glib::Threads::RWLock::WriterLock lm (lock);
3063                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3064                         if ((*i)->frame() >= where && (*i)->movable ()) {
3065                                 (*i)->set_frame ((*i)->frame() + amount);
3066                         }
3067                 }
3068
3069                 /* now reset the BBT time of all metrics, based on their new
3070                  * audio time. This is the only place where we do this reverse
3071                  * timestamp.
3072                  */
3073
3074                 Metrics::iterator i;
3075                 const MeterSection* meter;
3076                 const TempoSection* tempo;
3077                 MeterSection *m;
3078                 TempoSection *t;
3079
3080                 meter = &first_meter ();
3081                 tempo = &first_tempo ();
3082
3083                 BBT_Time start;
3084                 BBT_Time end;
3085
3086                 // cerr << "\n###################### TIMESTAMP via AUDIO ##############\n" << endl;
3087
3088                 bool first = true;
3089                 MetricSection* prev = 0;
3090
3091                 for (i = _metrics.begin(); i != _metrics.end(); ++i) {
3092
3093                         BBT_Time bbt;
3094                         //TempoMetric metric (*meter, *tempo);
3095                         MeterSection* ms = const_cast<MeterSection*>(meter);
3096                         TempoSection* ts = const_cast<TempoSection*>(tempo);
3097                         if (prev) {
3098                                 if (ts){
3099                                         if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
3100                                                 if (!t->active()) {
3101                                                         continue;
3102                                                 }
3103                                                 ts->set_pulse (t->pulse());
3104                                         }
3105                                         if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
3106                                                 ts->set_pulse (m->pulse());
3107                                         }
3108                                         ts->set_frame (prev->frame());
3109
3110                                 }
3111                                 if (ms) {
3112                                         if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
3113                                                 pair<double, BBT_Time> start = make_pair (m->beat(), m->bbt());
3114                                                 ms->set_beat (start);
3115                                                 ms->set_pulse (m->pulse());
3116                                         }
3117                                         if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
3118                                                 if (!t->active()) {
3119                                                         continue;
3120                                                 }
3121                                                 const double beat = beat_at_pulse_locked (_metrics, t->pulse());
3122                                                 pair<double, BBT_Time> start = make_pair (beat, beats_to_bbt_locked (_metrics, beat));
3123                                                 ms->set_beat (start);
3124                                                 ms->set_pulse (t->pulse());
3125                                         }
3126                                         ms->set_frame (prev->frame());
3127                                 }
3128
3129                         } else {
3130                                 // metric will be at frames=0 bbt=1|1|0 by default
3131                                 // which is correct for our purpose
3132                         }
3133
3134                         // cerr << bbt << endl;
3135
3136                         if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
3137                                 if (!t->active()) {
3138                                         continue;
3139                                 }
3140                                 t->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
3141                                 tempo = t;
3142                                 // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
3143                         } else if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
3144                                 bbt_time (m->frame(), bbt);
3145
3146                                 // cerr << "timestamp @ " << (*i)->frame() << " with " << bbt.bars << "|" << bbt.beats << "|" << bbt.ticks << " => ";
3147
3148                                 if (first) {
3149                                         first = false;
3150                                 } else {
3151
3152                                         if (bbt.ticks > BBT_Time::ticks_per_beat/2) {
3153                                                 /* round up to next beat */
3154                                                 bbt.beats += 1;
3155                                         }
3156
3157                                         bbt.ticks = 0;
3158
3159                                         if (bbt.beats != 1) {
3160                                                 /* round up to next bar */
3161                                                 bbt.bars += 1;
3162                                                 bbt.beats = 1;
3163                                         }
3164                                 }
3165                                 pair<double, BBT_Time> start = make_pair (beat_at_frame_locked (_metrics, m->frame()), bbt);
3166                                 m->set_beat (start);
3167                                 m->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
3168                                 meter = m;
3169                                 // cerr << "NEW METER, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
3170                         } else {
3171                                 fatal << _("programming error: unhandled MetricSection type") << endmsg;
3172                                 abort(); /*NOTREACHED*/
3173                         }
3174
3175                         prev = (*i);
3176                 }
3177
3178                 recompute_map (_metrics);
3179         }
3180
3181
3182         PropertyChanged (PropertyChange ());
3183 }
3184 bool
3185 TempoMap::remove_time (framepos_t where, framecnt_t amount)
3186 {
3187         bool moved = false;
3188
3189         std::list<MetricSection*> metric_kill_list;
3190
3191         TempoSection* last_tempo = NULL;
3192         MeterSection* last_meter = NULL;
3193         bool tempo_after = false; // is there a tempo marker at the first sample after the removed range?
3194         bool meter_after = false; // is there a meter marker likewise?
3195         {
3196                 Glib::Threads::RWLock::WriterLock lm (lock);
3197                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3198                         if ((*i)->frame() >= where && (*i)->frame() < where+amount) {
3199                                 metric_kill_list.push_back(*i);
3200                                 TempoSection *lt = dynamic_cast<TempoSection*> (*i);
3201                                 if (lt)
3202                                         last_tempo = lt;
3203                                 MeterSection *lm = dynamic_cast<MeterSection*> (*i);
3204                                 if (lm)
3205                                         last_meter = lm;
3206                         }
3207                         else if ((*i)->frame() >= where) {
3208                                 // TODO: make sure that moved tempo/meter markers are rounded to beat/bar boundaries
3209                                 (*i)->set_frame ((*i)->frame() - amount);
3210                                 if ((*i)->frame() == where) {
3211                                         // marker was immediately after end of range
3212                                         tempo_after = dynamic_cast<TempoSection*> (*i);
3213                                         meter_after = dynamic_cast<MeterSection*> (*i);
3214                                 }
3215                                 moved = true;
3216                         }
3217                 }
3218
3219                 //find the last TEMPO and METER metric (if any) and move it to the cut point so future stuff is correct
3220                 if (last_tempo && !tempo_after) {
3221                         metric_kill_list.remove(last_tempo);
3222                         last_tempo->set_frame(where);
3223                         moved = true;
3224                 }
3225                 if (last_meter && !meter_after) {
3226                         metric_kill_list.remove(last_meter);
3227                         last_meter->set_frame(where);
3228                         moved = true;
3229                 }
3230
3231                 //remove all the remaining metrics
3232                 for (std::list<MetricSection*>::iterator i = metric_kill_list.begin(); i != metric_kill_list.end(); ++i) {
3233                         _metrics.remove(*i);
3234                         moved = true;
3235                 }
3236
3237                 if (moved) {
3238                         recompute_map (_metrics);
3239                 }
3240         }
3241         PropertyChanged (PropertyChange ());
3242         return moved;
3243 }
3244
3245 /** Add some (fractional) beats to a session frame position, and return the result in frames.
3246  *  pos can be -ve, if required.
3247  */
3248 framepos_t
3249 TempoMap::framepos_plus_beats (framepos_t pos, Evoral::Beats beats) const
3250 {
3251         return frame_at_beat (beat_at_frame (pos) + beats.to_double());
3252 }
3253
3254 /** Subtract some (fractional) beats from a frame position, and return the result in frames */
3255 framepos_t
3256 TempoMap::framepos_minus_beats (framepos_t pos, Evoral::Beats beats) const
3257 {
3258         return frame_at_beat (beat_at_frame (pos) - beats.to_double());
3259 }
3260
3261 /** Add the BBT interval op to pos and return the result */
3262 framepos_t
3263 TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
3264 {
3265         Glib::Threads::RWLock::ReaderLock lm (lock);
3266
3267         BBT_Time pos_bbt = beats_to_bbt_locked (_metrics, beat_at_frame_locked (_metrics, pos));
3268         pos_bbt.ticks += op.ticks;
3269         if (pos_bbt.ticks >= BBT_Time::ticks_per_beat) {
3270                 ++pos_bbt.beats;
3271                 pos_bbt.ticks -= BBT_Time::ticks_per_beat;
3272         }
3273         pos_bbt.beats += op.beats;
3274         /* the meter in effect will start on the bar */
3275         double divisions_per_bar = meter_section_at_beat (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
3276         while (pos_bbt.beats >= divisions_per_bar + 1) {
3277                 ++pos_bbt.bars;
3278                 divisions_per_bar = meter_section_at_beat (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
3279                 pos_bbt.beats -= divisions_per_bar;
3280         }
3281         pos_bbt.bars += op.bars;
3282
3283         return frame_time_locked (_metrics, pos_bbt);
3284 }
3285
3286 /** Count the number of beats that are equivalent to distance when going forward,
3287     starting at pos.
3288 */
3289 Evoral::Beats
3290 TempoMap::framewalk_to_beats (framepos_t pos, framecnt_t distance) const
3291 {
3292         return Evoral::Beats (beat_at_frame (pos + distance) - beat_at_frame (pos));
3293 }
3294
3295 struct bbtcmp {
3296     bool operator() (const BBT_Time& a, const BBT_Time& b) {
3297             return a < b;
3298     }
3299 };
3300
3301 std::ostream&
3302 operator<< (std::ostream& o, const Meter& m) {
3303         return o << m.divisions_per_bar() << '/' << m.note_divisor();
3304 }
3305
3306 std::ostream&
3307 operator<< (std::ostream& o, const Tempo& t) {
3308         return o << t.beats_per_minute() << " 1/" << t.note_type() << "'s per minute";
3309 }
3310
3311 std::ostream&
3312 operator<< (std::ostream& o, const MetricSection& section) {
3313
3314         o << "MetricSection @ " << section.frame() << ' ';
3315
3316         const TempoSection* ts;
3317         const MeterSection* ms;
3318
3319         if ((ts = dynamic_cast<const TempoSection*> (&section)) != 0) {
3320                 o << *((const Tempo*) ts);
3321         } else if ((ms = dynamic_cast<const MeterSection*> (&section)) != 0) {
3322                 o << *((const Meter*) ms);
3323         }
3324
3325         return o;
3326 }