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 = ((pulse_at_frame_locked (metrics, meter->frame()) - prev_m->pulse()) * prev_m->note_divisor());
1290                                         const double floor_beats = beats - fmod (beats, prev_m->divisions_per_bar());
1291                                         if (floor_beats + prev_m->beat() < meter->beat()) {
1292                                                 /* tempo change caused a change in beat (bar). */
1293                                                 b_bbt = make_pair (floor_beats + prev_m->beat(), BBT_Time ((floor_beats / prev_m->divisions_per_bar()) + prev_m->bbt().bars, 1, 0));
1294                                                 const double true_pulse = prev_m->pulse() + (floor_beats / prev_m->note_divisor());
1295                                                 const double pulse_off = true_pulse - (beats / prev_m->note_divisor()) - prev_m->pulse();
1296                                                 pulse = true_pulse - pulse_off;
1297                                         } else {
1298                                                 b_bbt = make_pair (meter->beat(), meter->bbt());
1299                                                 pulse = pulse_at_frame_locked (metrics, meter->frame());
1300                                         }
1301                                 } else {
1302                                         b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
1303                                 }
1304                                 meter->set_beat (b_bbt);
1305                                 meter->set_pulse (pulse);
1306                         } else {
1307                                 double pulse = 0.0;
1308                                 pair<double, BBT_Time> new_beat;
1309                                 if (prev_m) {
1310                                         pulse = prev_m->pulse() + ((meter->bbt().bars - prev_m->bbt().bars) *  prev_m->divisions_per_bar() / prev_m->note_divisor());
1311                                         new_beat = make_pair (((pulse - prev_m->pulse()) * prev_m->note_divisor()) + prev_m->beat(), meter->bbt());
1312                                 } else {
1313                                         /* shouldn't happen - the first is audio-locked */
1314                                         pulse = pulse_at_beat_locked (metrics, meter->beat());
1315                                         new_beat = make_pair (pulse, meter->bbt());
1316                                 }
1317
1318                                 meter->set_beat (new_beat);
1319                                 meter->set_frame (frame_at_pulse_locked (metrics, pulse));
1320                                 meter->set_pulse (pulse);
1321                         }
1322
1323                         prev_m = meter;
1324                 }
1325         }
1326         //dump (_metrics, std::cerr;
1327 }
1328
1329 void
1330 TempoMap::recompute_map (Metrics& metrics, framepos_t end)
1331 {
1332         /* CALLER MUST HOLD WRITE LOCK */
1333
1334         if (end < 0) {
1335
1336                 /* we will actually stop once we hit
1337                    the last metric.
1338                 */
1339                 end = max_framepos;
1340
1341         }
1342
1343         DEBUG_TRACE (DEBUG::TempoMath, string_compose ("recomputing tempo map, zero to %1\n", end));
1344
1345         if (end == 0) {
1346                 /* silly call from Session::process() during startup
1347                  */
1348                 return;
1349         }
1350
1351         recompute_tempos (metrics);
1352         recompute_meters (metrics);
1353 }
1354
1355 TempoMetric
1356 TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
1357 {
1358         Glib::Threads::RWLock::ReaderLock lm (lock);
1359         TempoMetric m (first_meter(), first_tempo());
1360
1361         /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
1362            at something, because we insert the default tempo and meter during
1363            TempoMap construction.
1364
1365            now see if we can find better candidates.
1366         */
1367
1368         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1369
1370                 if ((*i)->frame() > frame) {
1371                         break;
1372                 }
1373
1374                 m.set_metric(*i);
1375
1376                 if (last) {
1377                         *last = i;
1378                 }
1379         }
1380
1381         return m;
1382 }
1383
1384 /* XX meters only */
1385 TempoMetric
1386 TempoMap::metric_at (BBT_Time bbt) const
1387 {
1388         Glib::Threads::RWLock::ReaderLock lm (lock);
1389         TempoMetric m (first_meter(), first_tempo());
1390
1391         /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
1392            at something, because we insert the default tempo and meter during
1393            TempoMap construction.
1394
1395            now see if we can find better candidates.
1396         */
1397
1398         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1399                 MeterSection* mw;
1400                 if ((mw = dynamic_cast<MeterSection*> (*i)) != 0) {
1401                         BBT_Time section_start (mw->bbt());
1402
1403                         if (section_start.bars > bbt.bars || (section_start.bars == bbt.bars && section_start.beats > bbt.beats)) {
1404                                 break;
1405                         }
1406
1407                         m.set_metric (*i);
1408                 }
1409         }
1410
1411         return m;
1412 }
1413
1414 double
1415 TempoMap::pulse_at_beat_locked (const Metrics& metrics, const double& beat) const
1416 {
1417         MeterSection* prev_m = 0;
1418
1419         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1420                 MeterSection* m;
1421                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1422                         if (prev_m && m->beat() > beat) {
1423                                 break;
1424                         }
1425                         prev_m = m;
1426                 }
1427
1428         }
1429         double const ret = prev_m->pulse() + ((beat - prev_m->beat()) / prev_m->note_divisor());
1430         return ret;
1431 }
1432
1433 double
1434 TempoMap::pulse_at_beat (const double& beat) const
1435 {
1436         Glib::Threads::RWLock::ReaderLock lm (lock);
1437         return pulse_at_beat_locked (_metrics, beat);
1438 }
1439
1440 double
1441 TempoMap::beat_at_pulse_locked (const Metrics& metrics, const double& pulse) const
1442 {
1443         MeterSection* prev_m = 0;
1444
1445         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1446                 MeterSection* m;
1447                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1448                         if (prev_m && m->pulse() > pulse) {
1449                                 if ((pulse - prev_m->pulse()) * prev_m->note_divisor() < m->beat()) {
1450                                         break;
1451                                 }
1452                         }
1453                         prev_m = m;
1454                 }
1455         }
1456
1457         double const beats_in_section = (pulse - prev_m->pulse()) * prev_m->note_divisor();
1458
1459         return beats_in_section + prev_m->beat();
1460 }
1461
1462 double
1463 TempoMap::beat_at_pulse (const double& pulse) const
1464 {
1465         Glib::Threads::RWLock::ReaderLock lm (lock);
1466         return beat_at_pulse_locked (_metrics, pulse);
1467 }
1468
1469 double
1470 TempoMap::pulse_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
1471 {
1472         /* HOLD (at least) THE READER LOCK */
1473         TempoSection* prev_t = 0;
1474
1475         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1476                 TempoSection* t;
1477                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1478                         if (!t->active()) {
1479                                 continue;
1480                         }
1481                         if (prev_t && t->frame() > frame) {
1482                                 /*the previous ts is the one containing the frame */
1483                                 const double ret = prev_t->pulse_at_frame (frame, _frame_rate);
1484                                 return ret;
1485                         }
1486                         prev_t = t;
1487                 }
1488         }
1489
1490         /* treated as constant for this ts */
1491         const double pulses_in_section = (frame - prev_t->frame()) / prev_t->frames_per_pulse (_frame_rate);
1492
1493         return pulses_in_section + prev_t->pulse();
1494 }
1495
1496 double
1497 TempoMap::pulse_at_frame (const framecnt_t& frame) const
1498 {
1499         Glib::Threads::RWLock::ReaderLock lm (lock);
1500         return pulse_at_frame_locked (_metrics, frame);
1501 }
1502
1503 framecnt_t
1504 TempoMap::frame_at_pulse_locked (const Metrics& metrics, const double& pulse) const
1505 {
1506         /* HOLD THE READER LOCK */
1507
1508         const TempoSection* prev_t = 0;
1509
1510         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1511                 TempoSection* t;
1512
1513                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1514                         if (!t->active()) {
1515                                 continue;
1516                         }
1517                         if (prev_t && t->pulse() > pulse) {
1518                                 return prev_t->frame_at_pulse (pulse, _frame_rate);
1519                         }
1520
1521                         prev_t = t;
1522                 }
1523         }
1524         /* must be treated as constant, irrespective of _type */
1525         double const pulses_in_section = pulse - prev_t->pulse();
1526         double const dtime = pulses_in_section * prev_t->frames_per_pulse (_frame_rate);
1527
1528         framecnt_t const ret = (framecnt_t) floor (dtime) + prev_t->frame();
1529
1530         return ret;
1531 }
1532
1533 framecnt_t
1534 TempoMap::frame_at_pulse (const double& pulse) const
1535 {
1536         Glib::Threads::RWLock::ReaderLock lm (lock);
1537         return frame_at_pulse_locked (_metrics, pulse);
1538 }
1539
1540 double
1541 TempoMap::beat_at_frame_locked (const Metrics& metrics, const framecnt_t& frame) const
1542 {
1543         const MeterSection& prev_m = meter_section_at_locked (metrics, frame);
1544         const TempoSection& ts = tempo_section_at_locked (metrics, frame);
1545         if (frame < prev_m.frame()) {
1546                 return 0.0;
1547         }
1548         return prev_m.beat() + (ts.pulse_at_frame (frame, _frame_rate) - prev_m.pulse()) * prev_m.note_divisor();
1549 }
1550
1551 double
1552 TempoMap::beat_at_frame (const framecnt_t& frame) const
1553 {
1554         Glib::Threads::RWLock::ReaderLock lm (lock);
1555         return beat_at_frame_locked (_metrics, frame);
1556 }
1557
1558 framecnt_t
1559 TempoMap::frame_at_beat_locked (const Metrics& metrics, const double& beat) const
1560 {
1561         const framecnt_t frame = frame_at_pulse_locked (metrics, pulse_at_beat_locked (metrics, beat));
1562         return frame;
1563 }
1564
1565 framecnt_t
1566 TempoMap::frame_at_beat (const double& beat) const
1567 {
1568         Glib::Threads::RWLock::ReaderLock lm (lock);
1569         return frame_at_beat_locked (_metrics, beat);
1570 }
1571
1572 double
1573 TempoMap::bbt_to_beats_locked (const Metrics& metrics, const Timecode::BBT_Time& bbt) const
1574 {
1575         /* CALLER HOLDS READ LOCK */
1576
1577         MeterSection* prev_m = 0;
1578
1579         /* because audio-locked meters have 'fake' integral beats,
1580            there is no pulse offset here.
1581         */
1582         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1583                 MeterSection* m;
1584                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1585                         if (prev_m) {
1586                                 const double bars_to_m = (m->beat() - prev_m->beat()) / prev_m->divisions_per_bar();
1587                                 if ((bars_to_m + (prev_m->bbt().bars - 1)) > (bbt.bars - 1)) {
1588                                         break;
1589                                 }
1590                         }
1591                         prev_m = m;
1592                 }
1593         }
1594
1595         const double remaining_bars = bbt.bars - prev_m->bbt().bars;
1596         const double remaining_bars_in_beats = remaining_bars * prev_m->divisions_per_bar();
1597         const double ret = remaining_bars_in_beats + prev_m->beat() + (bbt.beats - 1) + (bbt.ticks / BBT_Time::ticks_per_beat);
1598
1599         return ret;
1600 }
1601
1602 double
1603 TempoMap::bbt_to_beats (const Timecode::BBT_Time& bbt)
1604 {
1605         Glib::Threads::RWLock::ReaderLock lm (lock);
1606         return bbt_to_beats_locked (_metrics, bbt);
1607 }
1608
1609 Timecode::BBT_Time
1610 TempoMap::beats_to_bbt_locked (const Metrics& metrics, const double& b) const
1611 {
1612         /* CALLER HOLDS READ LOCK */
1613         MeterSection* prev_m = 0;
1614         const double beats = (b < 0.0) ? 0.0 : b;
1615
1616         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1617                 MeterSection* m = 0;
1618
1619                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1620                         if (prev_m) {
1621                                 if (m->beat() > beats) {
1622                                         /* this is the meter after the one our beat is on*/
1623                                         break;
1624                                 }
1625                         }
1626
1627                         prev_m = m;
1628                 }
1629         }
1630
1631         const double beats_in_ms = beats - prev_m->beat();
1632         const uint32_t bars_in_ms = (uint32_t) floor (beats_in_ms / prev_m->divisions_per_bar());
1633         const uint32_t total_bars = bars_in_ms + (prev_m->bbt().bars - 1);
1634         const double remaining_beats = beats_in_ms - (bars_in_ms * prev_m->divisions_per_bar());
1635         const double remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
1636
1637         BBT_Time ret;
1638
1639         ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
1640         ret.beats = (uint32_t) floor (remaining_beats);
1641         ret.bars = total_bars;
1642
1643         /* 0 0 0 to 1 1 0 - based mapping*/
1644         ++ret.bars;
1645         ++ret.beats;
1646
1647         if (ret.ticks >= BBT_Time::ticks_per_beat) {
1648                 ++ret.beats;
1649                 ret.ticks -= BBT_Time::ticks_per_beat;
1650         }
1651
1652         if (ret.beats >= prev_m->divisions_per_bar() + 1) {
1653                 ++ret.bars;
1654                 ret.beats = 1;
1655         }
1656
1657         return ret;
1658 }
1659
1660 Timecode::BBT_Time
1661 TempoMap::beats_to_bbt (const double& beats)
1662 {
1663         Glib::Threads::RWLock::ReaderLock lm (lock);
1664         return beats_to_bbt_locked (_metrics, beats);
1665 }
1666
1667 Timecode::BBT_Time
1668 TempoMap::pulse_to_bbt (const double& pulse)
1669 {
1670         Glib::Threads::RWLock::ReaderLock lm (lock);
1671         MeterSection* prev_m = 0;
1672
1673         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
1674                 MeterSection* m = 0;
1675
1676                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1677
1678                         if (prev_m) {
1679                                 double const pulses_to_m = m->pulse() - prev_m->pulse();
1680                                 if (prev_m->pulse() + pulses_to_m > pulse) {
1681                                         /* this is the meter after the one our beat is on*/
1682                                         break;
1683                                 }
1684                         }
1685
1686                         prev_m = m;
1687                 }
1688         }
1689
1690         const double beats_in_ms = (pulse - prev_m->pulse()) * prev_m->note_divisor();
1691         const uint32_t bars_in_ms = (uint32_t) floor (beats_in_ms / prev_m->divisions_per_bar());
1692         const uint32_t total_bars = bars_in_ms + (prev_m->bbt().bars - 1);
1693         const double remaining_beats = beats_in_ms - (bars_in_ms * prev_m->divisions_per_bar());
1694         const double remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
1695
1696         BBT_Time ret;
1697
1698         ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
1699         ret.beats = (uint32_t) floor (remaining_beats);
1700         ret.bars = total_bars;
1701
1702         /* 0 0 0 to 1 1 0 mapping*/
1703         ++ret.bars;
1704         ++ret.beats;
1705
1706         if (ret.ticks >= BBT_Time::ticks_per_beat) {
1707                 ++ret.beats;
1708                 ret.ticks -= BBT_Time::ticks_per_beat;
1709         }
1710
1711         if (ret.beats >= prev_m->divisions_per_bar() + 1) {
1712                 ++ret.bars;
1713                 ret.beats = 1;
1714         }
1715
1716         return ret;
1717 }
1718
1719 void
1720 TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
1721 {
1722
1723         if (frame < 0) {
1724                 bbt.bars = 1;
1725                 bbt.beats = 1;
1726                 bbt.ticks = 0;
1727                 warning << string_compose (_("tempo map asked for BBT time at frame %1\n"), frame) << endmsg;
1728                 return;
1729         }
1730         Glib::Threads::RWLock::ReaderLock lm (lock);
1731         const double beat = beat_at_frame_locked (_metrics, frame);
1732
1733         bbt = beats_to_bbt_locked (_metrics, beat);
1734 }
1735
1736 framepos_t
1737 TempoMap::frame_time_locked (const Metrics& metrics, const BBT_Time& bbt) const
1738 {
1739         /* HOLD THE READER LOCK */
1740
1741         const framepos_t ret = frame_at_beat_locked (metrics, bbt_to_beats_locked (metrics, bbt));
1742         return ret;
1743 }
1744
1745 framepos_t
1746 TempoMap::frame_time (const BBT_Time& bbt)
1747 {
1748         if (bbt.bars < 1) {
1749                 warning << string_compose (_("tempo map asked for frame time at bar < 1  (%1)\n"), bbt) << endmsg;
1750                 return 0;
1751         }
1752
1753         if (bbt.beats < 1) {
1754                 throw std::logic_error ("beats are counted from one");
1755         }
1756         Glib::Threads::RWLock::ReaderLock lm (lock);
1757
1758         return frame_time_locked (_metrics, bbt);
1759 }
1760
1761 bool
1762 TempoMap::check_solved (Metrics& metrics, bool by_frame)
1763 {
1764         TempoSection* prev_t = 0;
1765
1766         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1767                 TempoSection* t;
1768                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1769                         if (!t->active()) {
1770                                 continue;
1771                         }
1772                         if (prev_t) {
1773                                 if ((by_frame && t->frame() < prev_t->frame()) || (!by_frame && t->pulse() < prev_t->pulse())) {
1774                                         return false;
1775                                 }
1776
1777                                 if (t->frame() == prev_t->frame()) {
1778                                         return false;
1779                                 }
1780
1781                                 /* precision check ensures pulses and frames align.*/
1782                                 if (t->frame() != prev_t->frame_at_pulse (t->pulse(), _frame_rate)) {
1783                                         return false;
1784                                 }
1785                         }
1786                         prev_t = t;
1787                 }
1788         }
1789
1790         return true;
1791 }
1792
1793 bool
1794 TempoMap::set_active_tempos (const Metrics& metrics, const framepos_t& frame)
1795 {
1796         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
1797                 TempoSection* t;
1798                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1799                         if (!t->movable()) {
1800                                 t->set_active (true);
1801                                 continue;
1802                         }
1803                         if (t->movable() && t->active () && t->position_lock_style() == AudioTime && t->frame() < frame) {
1804                                 t->set_active (false);
1805                                 t->set_pulse (0.0);
1806                         } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() > frame) {
1807                                 t->set_active (true);
1808                         } else if (t->movable() && t->position_lock_style() == AudioTime && t->frame() == frame) {
1809                                 return false;
1810                         }
1811                 }
1812         }
1813         return true;
1814 }
1815
1816 bool
1817 TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const framepos_t& frame)
1818 {
1819         TempoSection* prev_t = 0;
1820         TempoSection* section_prev = 0;
1821         framepos_t first_m_frame = 0;
1822
1823         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1824                 MeterSection* m;
1825                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
1826                         if (!m->movable()) {
1827                                 first_m_frame = m->frame();
1828                                 break;
1829                         }
1830                 }
1831         }
1832         if (section->movable() && frame <= first_m_frame) {
1833                 return false;
1834         }
1835
1836         section->set_active (true);
1837         section->set_frame (frame);
1838
1839         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1840                 TempoSection* t;
1841                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1842
1843                         if (!t->active()) {
1844                                 continue;
1845                         }
1846                         if (prev_t) {
1847                                 if (t == section) {
1848                                         section_prev = prev_t;
1849                                         continue;
1850                                 }
1851                                 if (t->position_lock_style() == MusicTime) {
1852                                         prev_t->set_c_func (prev_t->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
1853                                         t->set_frame (prev_t->frame_at_pulse (t->pulse(), _frame_rate));
1854                                 } else {
1855                                         prev_t->set_c_func (prev_t->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
1856                                         t->set_pulse (prev_t->pulse_at_frame (t->frame(), _frame_rate));
1857                                 }
1858                         }
1859                         prev_t = t;
1860                 }
1861         }
1862
1863         if (section_prev) {
1864                 section_prev->set_c_func (section_prev->compute_c_func_frame (section->pulses_per_minute(), frame, _frame_rate));
1865                 section->set_pulse (section_prev->pulse_at_frame (frame, _frame_rate));
1866         }
1867
1868         if (section->position_lock_style() == MusicTime) {
1869                 /* we're setting the frame */
1870                 section->set_position_lock_style (AudioTime);
1871                 recompute_tempos (imaginary);
1872                 section->set_position_lock_style (MusicTime);
1873         } else {
1874                 recompute_tempos (imaginary);
1875         }
1876
1877         if (check_solved (imaginary, true)) {
1878                 recompute_meters (imaginary);
1879                 return true;
1880         }
1881
1882         MetricSectionFrameSorter fcmp;
1883         imaginary.sort (fcmp);
1884         if (section->position_lock_style() == MusicTime) {
1885                 /* we're setting the frame */
1886                 section->set_position_lock_style (AudioTime);
1887                 recompute_tempos (imaginary);
1888                 section->set_position_lock_style (MusicTime);
1889         } else {
1890                 recompute_tempos (imaginary);
1891         }
1892
1893         if (check_solved (imaginary, true)) {
1894                 recompute_meters (imaginary);
1895                 return true;
1896         }
1897 #if (0)
1898         MetricSectionSorter cmp;
1899         imaginary.sort (cmp);
1900         if (section->position_lock_style() == MusicTime) {
1901                 /* we're setting the frame */
1902                 section->set_position_lock_style (AudioTime);
1903                 recompute_tempos (imaginary);
1904                 section->set_position_lock_style (MusicTime);
1905         } else {
1906                 recompute_tempos (imaginary);
1907         }
1908
1909         if (check_solved (imaginary, true)) {
1910                 recompute_meters (imaginary);
1911                 return true;
1912         }
1913 #endif
1914         //dump (imaginary, std::cerr);
1915
1916         return false;
1917 }
1918
1919 bool
1920 TempoMap::solve_map (Metrics& imaginary, TempoSection* section, const double& pulse)
1921 {
1922         TempoSection* prev_t = 0;
1923         TempoSection* section_prev = 0;
1924
1925         section->set_pulse (pulse);
1926
1927         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
1928                 TempoSection* t;
1929                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
1930                         if (!t->active()) {
1931                                 continue;
1932                         }
1933                         if (!t->movable()) {
1934                                 t->set_pulse (0.0);
1935                                 prev_t = t;
1936                                 continue;
1937                         }
1938                         if (prev_t) {
1939                                 if (t == section) {
1940                                         section_prev = prev_t;
1941                                         continue;
1942                                 }
1943                                 if (t->position_lock_style() == MusicTime) {
1944                                         prev_t->set_c_func (prev_t->compute_c_func_pulse (t->pulses_per_minute(), t->pulse(), _frame_rate));
1945                                         t->set_frame (prev_t->frame_at_pulse (t->pulse(), _frame_rate));
1946                                 } else {
1947                                         prev_t->set_c_func (prev_t->compute_c_func_frame (t->pulses_per_minute(), t->frame(), _frame_rate));
1948                                         t->set_pulse (prev_t->pulse_at_frame (t->frame(), _frame_rate));
1949                                 }
1950                         }
1951                         prev_t = t;
1952                 }
1953         }
1954         if (section_prev) {
1955                 section_prev->set_c_func (section_prev->compute_c_func_pulse (section->pulses_per_minute(), pulse, _frame_rate));
1956                 section->set_frame (section_prev->frame_at_pulse (pulse, _frame_rate));
1957         }
1958
1959         if (section->position_lock_style() == AudioTime) {
1960                 /* we're setting the pulse */
1961                 section->set_position_lock_style (MusicTime);
1962                 recompute_tempos (imaginary);
1963                 section->set_position_lock_style (AudioTime);
1964         } else {
1965                 recompute_tempos (imaginary);
1966         }
1967
1968         if (check_solved (imaginary, false)) {
1969                 recompute_meters (imaginary);
1970                 return true;
1971         }
1972
1973         MetricSectionSorter cmp;
1974         imaginary.sort (cmp);
1975         if (section->position_lock_style() == AudioTime) {
1976                 /* we're setting the pulse */
1977                 section->set_position_lock_style (MusicTime);
1978                 recompute_tempos (imaginary);
1979                 section->set_position_lock_style (AudioTime);
1980         } else {
1981                 recompute_tempos (imaginary);
1982         }
1983
1984         if (check_solved (imaginary, false)) {
1985                 recompute_meters (imaginary);
1986                 return true;
1987         }
1988 #if (0)
1989         MetricSectionFrameSorter fcmp;
1990         imaginary.sort (fcmp);
1991         if (section->position_lock_style() == AudioTime) {
1992                 /* we're setting the pulse */
1993                 section->set_position_lock_style (MusicTime);
1994                 recompute_tempos (imaginary);
1995                 section->set_position_lock_style (AudioTime);
1996         } else {
1997                 recompute_tempos (imaginary);
1998         }
1999
2000         if (check_solved (imaginary, false)) {
2001                 recompute_meters (imaginary);
2002                 return true;
2003         }
2004 #endif
2005         //dump (imaginary, std::cerr);
2006
2007         return false;
2008 }
2009
2010 void
2011 TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const framepos_t& frame)
2012 {
2013         /* disallow moving first meter past any subsequent one, and any movable meter before the first one */
2014         const MeterSection* other =  &meter_section_at_locked (imaginary, frame);
2015         if ((!section->movable() && other->movable()) || (!other->movable() && section->movable() && other->frame() >= frame)) {
2016                 return;
2017         }
2018         MeterSection* prev_m = 0;
2019
2020         if (!section->movable()) {
2021                 /* lock the first tempo to our first meter */
2022                 if (!set_active_tempos (imaginary, frame)) {
2023                         return;
2024                 }
2025                 TempoSection* first_t = &first_tempo();
2026                 Metrics future_map;
2027                 TempoSection* new_section = copy_metrics_and_point (future_map, first_t);
2028
2029                 new_section->set_frame (frame);
2030                 new_section->set_pulse (0.0);
2031                 new_section->set_active (true);
2032
2033                 if (solve_map (future_map, new_section, frame)) {
2034                         first_t->set_frame (frame);
2035                         first_t->set_pulse (0.0);
2036                         first_t->set_active (true);
2037                         solve_map (imaginary, first_t, frame);
2038                 } else {
2039                         return;
2040                 }
2041         }
2042
2043         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
2044                 MeterSection* m;
2045                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2046                         if (m == section){
2047                                 /*
2048                                   here we set the beat for this frame.
2049                                   we set it 'incorrectly' to the next bar's first beat
2050                                   and use the delta to find the meter's pulse.
2051                                 */
2052                                 double new_pulse = 0.0;
2053                                 pair<double, BBT_Time> b_bbt;
2054
2055                                 if (section->movable()) {
2056                                         const double beats = ((pulse_at_frame_locked (imaginary, frame) - prev_m->pulse()) * prev_m->note_divisor());
2057                                         const double floor_beats = beats - fmod (beats,  prev_m->divisions_per_bar());
2058                                         if (floor_beats + prev_m->beat() < section->beat()) {
2059                                                 /* disallow position change if it will alter out beat
2060                                                    we allow tempo changes to do this in recompute_meters().
2061                                                    blocking this is an option, but i'm not convinced that
2062                                                    this is what the user would actually want.
2063                                                 */
2064                                                 return;
2065                                         }
2066                                         b_bbt = make_pair (section->beat(), section->bbt());
2067                                         new_pulse = pulse_at_frame_locked (imaginary, frame);
2068                                 } else {
2069                                         b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2070                                 }
2071                                 section->set_frame (frame);
2072                                 section->set_beat (b_bbt);
2073                                 section->set_pulse (new_pulse);
2074                                 prev_m = m;
2075
2076                                 continue;
2077                         }
2078                         if (prev_m) {
2079                                 double new_pulse = 0.0;
2080                                 if (m->position_lock_style() == MusicTime) {
2081                                         new_pulse = prev_m->pulse() + ((m->bbt().bars - prev_m->bbt().bars) *  prev_m->divisions_per_bar() / prev_m->note_divisor());
2082                                         m->set_frame (frame_at_pulse_locked (imaginary, new_pulse));
2083                                         if (m->frame() > section->frame()) {
2084                                                 /* moving 'section' will affect later meters' beat (but not bbt).*/
2085                                                 pair<double, BBT_Time> new_beat (((new_pulse - prev_m->pulse()) * prev_m->note_divisor()) + prev_m->beat(), m->bbt());
2086                                                 m->set_beat (new_beat);
2087                                         }
2088                                 } else {
2089                                         pair<double, BBT_Time> b_bbt;
2090                                         if (m->movable()) {
2091                                                 const double beats = ((pulse_at_frame_locked (imaginary, m->frame()) - prev_m->pulse()) * prev_m->note_divisor());
2092                                                 const double floor_beats = beats - fmod (beats , prev_m->divisions_per_bar());
2093                                                 b_bbt = make_pair (floor_beats + prev_m->beat()
2094                                                                    , BBT_Time ((floor_beats / prev_m->divisions_per_bar()) + prev_m->bbt().bars, 1, 0));
2095                                                 const double true_pulse = prev_m->pulse() + (floor_beats / prev_m->note_divisor());
2096                                                 const double pulse_off = true_pulse - (beats / prev_m->note_divisor()) - prev_m->pulse();
2097                                                 new_pulse = true_pulse - pulse_off;
2098                                         } else {
2099                                                 b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2100                                                 new_pulse = 0.0;
2101                                         }
2102                                         m->set_beat (b_bbt);
2103                                 }
2104                                 m->set_pulse (new_pulse);
2105                         }
2106                         prev_m = m;
2107                 }
2108         }
2109
2110         MetricSectionFrameSorter fcmp;
2111         imaginary.sort (fcmp);
2112         if (section->position_lock_style() == MusicTime) {
2113                 /* we're setting the frame */
2114                 section->set_position_lock_style (AudioTime);
2115                 recompute_meters (imaginary);
2116                 section->set_position_lock_style (MusicTime);
2117         } else {
2118                 recompute_meters (imaginary);
2119         }
2120         //dump (imaginary, std::cerr);
2121 }
2122
2123 void
2124 TempoMap::solve_map (Metrics& imaginary, MeterSection* section, const double& pulse)
2125 {
2126         MeterSection* prev_m = 0;
2127         MeterSection* section_prev = 0;
2128
2129         section->set_pulse (pulse);
2130
2131         for (Metrics::iterator i = imaginary.begin(); i != imaginary.end(); ++i) {
2132                 MeterSection* m;
2133                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2134                         if (m == section){
2135                                 section_prev = prev_m;
2136                                 continue;
2137                         }
2138                         if (prev_m) {
2139                                 double new_pulse = 0.0;
2140                                 if (m->position_lock_style() == MusicTime) {
2141                                         new_pulse = prev_m->pulse() + ((m->bbt().bars - prev_m->bbt().bars) *  prev_m->divisions_per_bar() / prev_m->note_divisor());
2142                                         m->set_frame (frame_at_pulse_locked (imaginary, new_pulse));
2143
2144                                         if (new_pulse > section->pulse()) {
2145                                                 /* moving 'section' will affect later meters' beat (but not bbt).*/
2146                                                 pair<double, BBT_Time> new_beat (((new_pulse - prev_m->pulse()) * prev_m->note_divisor()) + prev_m->beat(), m->bbt());
2147                                                 m->set_beat (new_beat);
2148                                         }
2149                                 } else {
2150                                         pair<double, BBT_Time> b_bbt;
2151                                         if (m->movable()) {
2152                                                 const double beats = ((pulse_at_frame_locked (imaginary, m->frame()) - prev_m->pulse()) * prev_m->note_divisor());
2153                                                 const double floor_beats = beats - fmod (beats, prev_m->divisions_per_bar());
2154                                                 b_bbt = make_pair (floor_beats + prev_m->beat()
2155                                                                    , BBT_Time ((floor_beats / prev_m->divisions_per_bar()) + prev_m->bbt().bars, 1, 0));
2156                                                 const double true_pulse = prev_m->pulse() + (floor_beats / prev_m->note_divisor());
2157                                                 const double pulse_off = true_pulse - (beats / prev_m->note_divisor()) - prev_m->pulse();
2158                                                 new_pulse = true_pulse - pulse_off;
2159                                         } else {
2160                                                 b_bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2161                                         }
2162                                         m->set_beat (b_bbt);
2163                                 }
2164                                 m->set_pulse (new_pulse);
2165                         }
2166                         prev_m = m;
2167                 }
2168         }
2169
2170         if (section_prev) {
2171                 const double beats = ((pulse - section_prev->pulse()) * section_prev->note_divisor());
2172                 const int32_t bars = (beats + 1) / section_prev->divisions_per_bar();
2173                 pair<double, BBT_Time> b_bbt = make_pair (beats + section_prev->beat(), BBT_Time (bars + section_prev->bbt().bars, 1, 0));
2174                 section->set_beat (b_bbt);
2175                 section->set_frame (frame_at_pulse_locked (imaginary, pulse));
2176         }
2177
2178         MetricSectionSorter cmp;
2179         imaginary.sort (cmp);
2180         if (section->position_lock_style() == AudioTime) {
2181                 /* we're setting the pulse */
2182                 section->set_position_lock_style (MusicTime);
2183                 recompute_meters (imaginary);
2184                 section->set_position_lock_style (AudioTime);
2185         } else {
2186                 recompute_meters (imaginary);
2187         }
2188 }
2189
2190 /** places a copy of _metrics into copy and returns a pointer
2191  *  to section's equivalent in copy.
2192  */
2193 TempoSection*
2194 TempoMap::copy_metrics_and_point (Metrics& copy, TempoSection* section)
2195 {
2196         TempoSection* t;
2197         MeterSection* m;
2198         TempoSection* ret = 0;
2199
2200         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2201                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2202                         if (t == section) {
2203                                 if (t->position_lock_style() == MusicTime) {
2204                                         ret = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
2205                                         ret->set_frame (t->frame());
2206                                 } else {
2207                                         ret = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
2208                                         ret->set_pulse (t->pulse());
2209                                 }
2210                                 ret->set_active (t->active());
2211                                 ret->set_movable (t->movable());
2212                                 copy.push_back (ret);
2213                                 continue;
2214                         }
2215                         TempoSection* cp = 0;
2216                         if (t->position_lock_style() == MusicTime) {
2217                                 cp = new TempoSection (t->pulse(), t->beats_per_minute(), t->note_type(), t->type());
2218                                 cp->set_frame (t->frame());
2219                         } else {
2220                                 cp = new TempoSection (t->frame(), t->beats_per_minute(), t->note_type(), t->type());
2221                                 cp->set_pulse (t->pulse());
2222                         }
2223                         cp->set_active (t->active());
2224                         cp->set_movable (t->movable());
2225                         copy.push_back (cp);
2226                 }
2227                 if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
2228                         MeterSection* cp = 0;
2229                         if (m->position_lock_style() == MusicTime) {
2230                                 cp = new MeterSection (m->pulse(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
2231                                 cp->set_frame (m->frame());
2232                         } else {
2233                                 cp = new MeterSection (m->frame(), m->beat(), m->bbt(), m->divisions_per_bar(), m->note_divisor());
2234                                 cp->set_pulse (m->pulse());
2235                         }
2236                         cp->set_movable (m->movable());
2237                         copy.push_back (cp);
2238                 }
2239         }
2240
2241         return ret;
2242 }
2243
2244 bool
2245 TempoMap::can_solve_bbt (TempoSection* ts, const BBT_Time& bbt)
2246 {
2247         Metrics copy;
2248         TempoSection* new_section = 0;
2249
2250         {
2251                 Glib::Threads::RWLock::ReaderLock lm (lock);
2252                 new_section = copy_metrics_and_point (copy, ts);
2253         }
2254
2255         double const beat = bbt_to_beats_locked (copy, bbt);
2256         bool ret = solve_map (copy, new_section, pulse_at_beat_locked (copy, beat));
2257
2258         Metrics::const_iterator d = copy.begin();
2259         while (d != copy.end()) {
2260                 delete (*d);
2261                 ++d;
2262         }
2263
2264         return ret;
2265 }
2266
2267 /**
2268 * 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,
2269 * taking any possible reordering as a consequence of this into account.
2270 * @param section - the section to be altered
2271 * @param bpm - the new Tempo
2272 * @param bbt - the bbt where the altered tempo will fall
2273 * @return returns - the position in frames where the new tempo section will lie.
2274 */
2275 framepos_t
2276 TempoMap::predict_tempo_frame (TempoSection* section, const BBT_Time& bbt)
2277 {
2278         Glib::Threads::RWLock::ReaderLock lm (lock);
2279         Metrics future_map;
2280         framepos_t ret = 0;
2281         TempoSection* new_section = copy_metrics_and_point (future_map, section);
2282
2283         const double beat = bbt_to_beats_locked (future_map, bbt);
2284
2285         if (solve_map (future_map, new_section, pulse_at_beat_locked (future_map, beat))) {
2286                 ret = new_section->frame();
2287         } else {
2288                 ret = frame_at_beat_locked (_metrics, beat);
2289         }
2290
2291         Metrics::const_iterator d = future_map.begin();
2292         while (d != future_map.end()) {
2293                 delete (*d);
2294                 ++d;
2295         }
2296         return ret;
2297 }
2298
2299 double
2300 TempoMap::predict_tempo_pulse (TempoSection* section, const framepos_t& frame)
2301 {
2302         Glib::Threads::RWLock::ReaderLock lm (lock);
2303         Metrics future_map;
2304         double ret = 0.0;
2305         TempoSection* new_section = copy_metrics_and_point (future_map, section);
2306
2307         if (solve_map (future_map, new_section, frame)) {
2308                 ret = new_section->pulse();
2309         } else {
2310                 ret = pulse_at_frame_locked (_metrics, frame);
2311         }
2312
2313         Metrics::const_iterator d = future_map.begin();
2314         while (d != future_map.end()) {
2315                 delete (*d);
2316                 ++d;
2317         }
2318         return ret;
2319 }
2320
2321 void
2322 TempoMap::gui_move_tempo_frame (TempoSection* ts, const framepos_t& frame)
2323 {
2324         Metrics future_map;
2325         {
2326                 Glib::Threads::RWLock::WriterLock lm (lock);
2327                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2328                 if (solve_map (future_map, new_section, frame)) {
2329                         solve_map (_metrics, ts, frame);
2330                 }
2331         }
2332
2333         Metrics::const_iterator d = future_map.begin();
2334         while (d != future_map.end()) {
2335                 delete (*d);
2336                 ++d;
2337         }
2338
2339         MetricPositionChanged (); // Emit Signal
2340 }
2341
2342 void
2343 TempoMap::gui_move_tempo_beat (TempoSection* ts, const double& beat)
2344 {
2345         Metrics future_map;
2346         {
2347                 Glib::Threads::RWLock::WriterLock lm (lock);
2348                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2349                 if (solve_map (future_map, new_section, pulse_at_beat_locked (future_map, beat))) {
2350                         solve_map (_metrics, ts, pulse_at_beat_locked (_metrics, beat));
2351                 }
2352         }
2353
2354         Metrics::const_iterator d = future_map.begin();
2355         while (d != future_map.end()) {
2356                 delete (*d);
2357                 ++d;
2358         }
2359
2360         MetricPositionChanged (); // Emit Signal
2361 }
2362
2363 void
2364 TempoMap::gui_move_meter (MeterSection* ms, const framepos_t&  frame)
2365 {
2366         {
2367                 Glib::Threads::RWLock::WriterLock lm (lock);
2368                 solve_map (_metrics, ms, frame);
2369         }
2370
2371         MetricPositionChanged (); // Emit Signal
2372 }
2373
2374 void
2375 TempoMap::gui_move_meter (MeterSection* ms, const double&  beat)
2376 {
2377         {
2378                 Glib::Threads::RWLock::WriterLock lm (lock);
2379                 solve_map (_metrics, ms, pulse_at_beat_locked (_metrics, beat));
2380         }
2381
2382         MetricPositionChanged (); // Emit Signal
2383 }
2384
2385 bool
2386 TempoMap::gui_change_tempo (TempoSection* ts, const Tempo& bpm)
2387 {
2388         Metrics future_map;
2389         bool can_solve = false;
2390         {
2391                 Glib::Threads::RWLock::WriterLock lm (lock);
2392                 TempoSection* new_section = copy_metrics_and_point (future_map, ts);
2393                 new_section->set_beats_per_minute (bpm.beats_per_minute());
2394                 recompute_tempos (future_map);
2395
2396                 if (check_solved (future_map, true)) {
2397                         ts->set_beats_per_minute (bpm.beats_per_minute());
2398                         recompute_map (_metrics);
2399                         can_solve = true;
2400                 }
2401         }
2402
2403         Metrics::const_iterator d = future_map.begin();
2404         while (d != future_map.end()) {
2405                 delete (*d);
2406                 ++d;
2407         }
2408         if (can_solve) {
2409                 MetricPositionChanged (); // Emit Signal
2410         }
2411         return can_solve;
2412 }
2413
2414 framecnt_t
2415 TempoMap::bbt_duration_at (framepos_t pos, const BBT_Time& bbt, int dir)
2416 {
2417         Glib::Threads::RWLock::ReaderLock lm (lock);
2418
2419         const double tick_at_time = beat_at_frame_locked (_metrics, pos) * BBT_Time::ticks_per_beat;
2420         const double bbt_ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
2421         const double total_beats = (tick_at_time + bbt_ticks) / BBT_Time::ticks_per_beat;
2422
2423         return frame_at_beat_locked (_metrics, total_beats);
2424 }
2425
2426 framepos_t
2427 TempoMap::round_to_bar (framepos_t fr, RoundMode dir)
2428 {
2429         return round_to_type (fr, dir, Bar);
2430 }
2431
2432 framepos_t
2433 TempoMap::round_to_beat (framepos_t fr, RoundMode dir)
2434 {
2435         return round_to_type (fr, dir, Beat);
2436 }
2437
2438 framepos_t
2439 TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, RoundMode dir)
2440 {
2441         Glib::Threads::RWLock::ReaderLock lm (lock);
2442         uint32_t ticks = (uint32_t) floor (beat_at_frame_locked (_metrics, fr) * BBT_Time::ticks_per_beat);
2443         uint32_t beats = (uint32_t) floor (ticks / BBT_Time::ticks_per_beat);
2444         uint32_t ticks_one_subdivisions_worth = (uint32_t) BBT_Time::ticks_per_beat / sub_num;
2445
2446         ticks -= beats * BBT_Time::ticks_per_beat;
2447
2448         if (dir > 0) {
2449                 /* round to next (or same iff dir == RoundUpMaybe) */
2450
2451                 uint32_t mod = ticks % ticks_one_subdivisions_worth;
2452
2453                 if (mod == 0 && dir == RoundUpMaybe) {
2454                         /* right on the subdivision, which is fine, so do nothing */
2455
2456                 } else if (mod == 0) {
2457                         /* right on the subdivision, so the difference is just the subdivision ticks */
2458                         ticks += ticks_one_subdivisions_worth;
2459
2460                 } else {
2461                         /* not on subdivision, compute distance to next subdivision */
2462
2463                         ticks += ticks_one_subdivisions_worth - mod;
2464                 }
2465
2466                 if (ticks >= BBT_Time::ticks_per_beat) {
2467                         ticks -= BBT_Time::ticks_per_beat;
2468                 }
2469         } else if (dir < 0) {
2470
2471                 /* round to previous (or same iff dir == RoundDownMaybe) */
2472
2473                 uint32_t difference = ticks % ticks_one_subdivisions_worth;
2474
2475                 if (difference == 0 && dir == RoundDownAlways) {
2476                         /* right on the subdivision, but force-rounding down,
2477                            so the difference is just the subdivision ticks */
2478                         difference = ticks_one_subdivisions_worth;
2479                 }
2480
2481                 if (ticks < difference) {
2482                         ticks = BBT_Time::ticks_per_beat - ticks;
2483                 } else {
2484                         ticks -= difference;
2485                 }
2486
2487         } else {
2488                 /* round to nearest */
2489                 double rem;
2490
2491                 /* compute the distance to the previous and next subdivision */
2492
2493                 if ((rem = fmod ((double) ticks, (double) ticks_one_subdivisions_worth)) > ticks_one_subdivisions_worth/2.0) {
2494
2495                         /* closer to the next subdivision, so shift forward */
2496
2497                         ticks = lrint (ticks + (ticks_one_subdivisions_worth - rem));
2498
2499                         DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved forward to %1\n", ticks));
2500
2501                         if (ticks > BBT_Time::ticks_per_beat) {
2502                                 ++beats;
2503                                 ticks -= BBT_Time::ticks_per_beat;
2504                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("fold beat to %1\n", beats));
2505                         }
2506
2507                 } else if (rem > 0) {
2508
2509                         /* closer to previous subdivision, so shift backward */
2510
2511                         if (rem > ticks) {
2512                                 if (beats == 0) {
2513                                         /* can't go backwards past zero, so ... */
2514                                         return 0;
2515                                 }
2516                                 /* step back to previous beat */
2517                                 --beats;
2518                                 ticks = lrint (BBT_Time::ticks_per_beat - rem);
2519                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("step back beat to %1\n", beats));
2520                         } else {
2521                                 ticks = lrint (ticks - rem);
2522                                 DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved backward to %1\n", ticks));
2523                         }
2524                 } else {
2525                         /* on the subdivision, do nothing */
2526                 }
2527         }
2528
2529         const framepos_t ret_frame = frame_at_beat_locked (_metrics, beats + (ticks / BBT_Time::ticks_per_beat));
2530
2531         return ret_frame;
2532 }
2533
2534 void
2535 TempoMap::round_bbt (BBT_Time& when, const int32_t& sub_num)
2536 {
2537         if (sub_num == -1) {
2538                 const double bpb = meter_section_at (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
2539                 if ((double) when.beats > bpb / 2.0) {
2540                         ++when.bars;
2541                 }
2542                 when.beats = 1;
2543                 when.ticks = 0;
2544                 return;
2545         } else if (sub_num == 0) {
2546                 const double bpb = meter_section_at (bbt_to_beats_locked (_metrics, when)).divisions_per_bar();
2547                 if ((double) when.ticks > BBT_Time::ticks_per_beat / 2.0) {
2548                         ++when.beats;
2549                         while ((double) when.beats > bpb) {
2550                                 ++when.bars;
2551                                 when.beats -= (uint32_t) floor (bpb);
2552                         }
2553                 }
2554                 when.ticks = 0;
2555                 return;
2556         }
2557         const uint32_t ticks_one_subdivisions_worth = BBT_Time::ticks_per_beat / sub_num;
2558         double rem;
2559         if ((rem = fmod ((double) when.ticks, (double) ticks_one_subdivisions_worth)) > (ticks_one_subdivisions_worth / 2.0)) {
2560                 /* closer to the next subdivision, so shift forward */
2561
2562                 when.ticks = when.ticks + (ticks_one_subdivisions_worth - rem);
2563
2564                 if (when.ticks > Timecode::BBT_Time::ticks_per_beat) {
2565                         ++when.beats;
2566                         when.ticks -= Timecode::BBT_Time::ticks_per_beat;
2567                 }
2568
2569         } else if (rem > 0) {
2570                 /* closer to previous subdivision, so shift backward */
2571
2572                 if (rem > when.ticks) {
2573                         if (when.beats == 0) {
2574                                 /* can't go backwards past zero, so ... */
2575                         }
2576                         /* step back to previous beat */
2577                         --when.beats;
2578                         when.ticks = Timecode::BBT_Time::ticks_per_beat - rem;
2579                 } else {
2580                         when.ticks = when.ticks - rem;
2581                 }
2582         }
2583 }
2584
2585 framepos_t
2586 TempoMap::round_to_type (framepos_t frame, RoundMode dir, BBTPointType type)
2587 {
2588         Glib::Threads::RWLock::ReaderLock lm (lock);
2589
2590         const double beat_at_framepos = beat_at_frame_locked (_metrics, frame);
2591         BBT_Time bbt (beats_to_bbt_locked (_metrics, beat_at_framepos));
2592
2593         switch (type) {
2594         case Bar:
2595                 if (dir < 0) {
2596                         /* find bar previous to 'frame' */
2597                         bbt.beats = 1;
2598                         bbt.ticks = 0;
2599                         return frame_time_locked (_metrics, bbt);
2600
2601                 } else if (dir > 0) {
2602                         /* find bar following 'frame' */
2603                         ++bbt.bars;
2604                         bbt.beats = 1;
2605                         bbt.ticks = 0;
2606                         return frame_time_locked (_metrics, bbt);
2607                 } else {
2608                         /* true rounding: find nearest bar */
2609                         framepos_t raw_ft = frame_time_locked (_metrics, bbt);
2610                         bbt.beats = 1;
2611                         bbt.ticks = 0;
2612                         framepos_t prev_ft = frame_time_locked (_metrics, bbt);
2613                         ++bbt.bars;
2614                         framepos_t next_ft = frame_time_locked (_metrics, bbt);
2615
2616                         if ((raw_ft - prev_ft) > (next_ft - prev_ft) / 2) {
2617                                 return next_ft;
2618                         } else {
2619                                 return prev_ft;
2620                         }
2621                 }
2622
2623                 break;
2624
2625         case Beat:
2626                 if (dir < 0) {
2627                         return frame_at_beat_locked (_metrics, floor (beat_at_framepos));
2628                 } else if (dir > 0) {
2629                         return frame_at_beat_locked (_metrics, ceil (beat_at_framepos));
2630                 } else {
2631                         return frame_at_beat_locked (_metrics, floor (beat_at_framepos + 0.5));
2632                 }
2633                 break;
2634         }
2635
2636         return 0;
2637 }
2638
2639 void
2640 TempoMap::get_grid (vector<TempoMap::BBTPoint>& points,
2641                     framepos_t lower, framepos_t upper)
2642 {
2643         Glib::Threads::RWLock::ReaderLock lm (lock);
2644         const int32_t upper_beat = (int32_t) floor (beat_at_frame_locked (_metrics, upper));
2645         int32_t cnt = ceil (beat_at_frame_locked (_metrics, lower));
2646         framecnt_t pos = 0;
2647         /* although the map handles negative beats, bbt doesn't. */
2648         if (cnt < 0.0) {
2649                 cnt = 0.0;
2650         }
2651         while (cnt <= upper_beat && pos < upper) {
2652                 pos = frame_at_beat_locked (_metrics, cnt);
2653                 const TempoSection tempo = tempo_section_at_locked (_metrics, pos);
2654                 const MeterSection meter = meter_section_at_locked (_metrics, pos);
2655                 const BBT_Time bbt = beats_to_bbt (cnt);
2656                 points.push_back (BBTPoint (meter, tempo_at_locked (_metrics, pos), pos, bbt.bars, bbt.beats, tempo.c_func()));
2657                 ++cnt;
2658         }
2659 }
2660
2661 const TempoSection&
2662 TempoMap::tempo_section_at (framepos_t frame) const
2663 {
2664         Glib::Threads::RWLock::ReaderLock lm (lock);
2665         return tempo_section_at_locked (_metrics, frame);
2666 }
2667
2668 const TempoSection&
2669 TempoMap::tempo_section_at_locked (const Metrics& metrics, framepos_t frame) const
2670 {
2671         Metrics::const_iterator i;
2672         TempoSection* prev = 0;
2673
2674         for (i = metrics.begin(); i != metrics.end(); ++i) {
2675                 TempoSection* t;
2676
2677                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2678                         if (!t->active()) {
2679                                 continue;
2680                         }
2681                         if (prev && t->frame() > frame) {
2682                                 break;
2683                         }
2684
2685                         prev = t;
2686                 }
2687         }
2688
2689         if (prev == 0) {
2690                 fatal << endmsg;
2691                 abort(); /*NOTREACHED*/
2692         }
2693
2694         return *prev;
2695 }
2696
2697
2698 /* don't use this to calculate length (the tempo is only correct for this frame).
2699    do that stuff based on the beat_at_frame and frame_at_beat api
2700 */
2701 double
2702 TempoMap::frames_per_beat_at (const framepos_t& frame, const framecnt_t& sr) const
2703 {
2704         Glib::Threads::RWLock::ReaderLock lm (lock);
2705
2706         const TempoSection* ts_at = &tempo_section_at_locked (_metrics, frame);
2707         const TempoSection* ts_after = 0;
2708         Metrics::const_iterator i;
2709
2710         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2711                 TempoSection* t;
2712
2713                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2714                         if (!t->active()) {
2715                                 continue;
2716                         }
2717                         if ((*i)->frame() > frame) {
2718                                 ts_after = t;
2719                                 break;
2720                         }
2721                 }
2722         }
2723
2724         if (ts_after) {
2725                 return  (60.0 * _frame_rate) / (ts_at->tempo_at_frame (frame, _frame_rate));
2726         }
2727         /* must be treated as constant tempo */
2728         return ts_at->frames_per_beat (_frame_rate);
2729 }
2730
2731 const Tempo
2732 TempoMap::tempo_at (const framepos_t& frame) const
2733 {
2734         Glib::Threads::RWLock::ReaderLock lm (lock);
2735         return tempo_at_locked (_metrics, frame);
2736 }
2737
2738 const Tempo
2739 TempoMap::tempo_at_locked (const Metrics& metrics, const framepos_t& frame) const
2740 {
2741         TempoSection* prev_t = 0;
2742
2743         Metrics::const_iterator i;
2744
2745         for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2746                 TempoSection* t;
2747                 if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2748                         if (!t->active()) {
2749                                 continue;
2750                         }
2751                         if ((prev_t) && t->frame() > frame) {
2752                                 /* t is the section past frame */
2753                                 const double ret_bpm = prev_t->tempo_at_frame (frame, _frame_rate) * prev_t->note_type();
2754                                 const Tempo ret_tempo (ret_bpm, prev_t->note_type());
2755                                 return ret_tempo;
2756                         }
2757                         prev_t = t;
2758                 }
2759         }
2760
2761         const double ret = prev_t->beats_per_minute();
2762         const Tempo ret_tempo (ret, prev_t->note_type ());
2763
2764         return ret_tempo;
2765 }
2766
2767 const MeterSection&
2768 TempoMap::meter_section_at (framepos_t frame) const
2769 {
2770         Glib::Threads::RWLock::ReaderLock lm (lock);
2771         return meter_section_at_locked (_metrics, frame);
2772 }
2773
2774 const MeterSection&
2775 TempoMap::meter_section_at_locked (const Metrics& metrics, framepos_t frame) const
2776 {
2777         Metrics::const_iterator i;
2778         MeterSection* prev = 0;
2779
2780         for (i = metrics.begin(); i != metrics.end(); ++i) {
2781                 MeterSection* m;
2782
2783                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2784
2785                         if (prev && (*i)->frame() > frame) {
2786                                 break;
2787                         }
2788
2789                         prev = m;
2790                 }
2791         }
2792
2793         if (prev == 0) {
2794                 fatal << endmsg;
2795                 abort(); /*NOTREACHED*/
2796         }
2797
2798         return *prev;
2799 }
2800
2801 const Meter&
2802 TempoMap::meter_at (framepos_t frame) const
2803 {
2804         TempoMetric m (metric_at (frame));
2805         return m.meter();
2806 }
2807
2808 const MeterSection&
2809 TempoMap::meter_section_at (const double& beat) const
2810 {
2811         MeterSection* prev_m = 0;
2812         Glib::Threads::RWLock::ReaderLock lm (lock);
2813
2814         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2815                 MeterSection* m;
2816                 if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
2817                         if (prev_m && m->beat() > beat) {
2818                                 break;
2819                         }
2820                         prev_m = m;
2821                 }
2822
2823         }
2824         return *prev_m;
2825 }
2826
2827 void
2828 TempoMap::fix_legacy_session ()
2829 {
2830         MeterSection* prev_m = 0;
2831         TempoSection* prev_t = 0;
2832
2833         for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2834                 MeterSection* m;
2835                 TempoSection* t;
2836
2837                 if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
2838                         if (!m->movable()) {
2839                                 pair<double, BBT_Time> bbt = make_pair (0.0, BBT_Time (1, 1, 0));
2840                                 m->set_beat (bbt);
2841                                 m->set_pulse (0.0);
2842                                 m->set_frame (0);
2843                                 m->set_position_lock_style (AudioTime);
2844                                 prev_m = m;
2845                                 continue;
2846                         }
2847                         if (prev_m) {
2848                                 pair<double, BBT_Time> start = make_pair (((m->bbt().bars - 1) * prev_m->note_divisor())
2849                                                                           + (m->bbt().beats - 1)
2850                                                                           + (m->bbt().ticks / BBT_Time::ticks_per_beat)
2851                                                                           , m->bbt());
2852                                 m->set_beat (start);
2853                                 const double start_beat = ((m->bbt().bars - 1) * prev_m->note_divisor())
2854                                         + (m->bbt().beats - 1)
2855                                         + (m->bbt().ticks / BBT_Time::ticks_per_beat);
2856                                 m->set_pulse (start_beat / prev_m->note_divisor());
2857                         }
2858                         prev_m = m;
2859                 } else if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
2860
2861                         if (!t->active()) {
2862                                 continue;
2863                         }
2864
2865                         if (!t->movable()) {
2866                                 t->set_pulse (0.0);
2867                                 t->set_frame (0);
2868                                 t->set_position_lock_style (AudioTime);
2869                                 prev_t = t;
2870                                 continue;
2871                         }
2872
2873                         if (prev_t) {
2874                                 const double beat = ((t->legacy_bbt().bars - 1) * ((prev_m) ? prev_m->note_divisor() : 4.0))
2875                                         + (t->legacy_bbt().beats - 1)
2876                                         + (t->legacy_bbt().ticks / BBT_Time::ticks_per_beat);
2877                                 if (prev_m) {
2878                                         t->set_pulse (beat / prev_m->note_divisor());
2879                                 } else {
2880                                         /* really shouldn't happen but.. */
2881                                         t->set_pulse (beat / 4.0);
2882                                 }
2883                         }
2884                         prev_t = t;
2885                 }
2886         }
2887 }
2888
2889 XMLNode&
2890 TempoMap::get_state ()
2891 {
2892         Metrics::const_iterator i;
2893         XMLNode *root = new XMLNode ("TempoMap");
2894
2895         {
2896                 Glib::Threads::RWLock::ReaderLock lm (lock);
2897                 for (i = _metrics.begin(); i != _metrics.end(); ++i) {
2898                         root->add_child_nocopy ((*i)->get_state());
2899                 }
2900         }
2901
2902         return *root;
2903 }
2904
2905 int
2906 TempoMap::set_state (const XMLNode& node, int /*version*/)
2907 {
2908         {
2909                 Glib::Threads::RWLock::WriterLock lm (lock);
2910
2911                 XMLNodeList nlist;
2912                 XMLNodeConstIterator niter;
2913                 Metrics old_metrics (_metrics);
2914                 _metrics.clear();
2915
2916                 nlist = node.children();
2917
2918                 for (niter = nlist.begin(); niter != nlist.end(); ++niter) {
2919                         XMLNode* child = *niter;
2920
2921                         if (child->name() == TempoSection::xml_state_node_name) {
2922
2923                                 try {
2924                                         TempoSection* ts = new TempoSection (*child);
2925                                         _metrics.push_back (ts);
2926                                 }
2927
2928                                 catch (failed_constructor& err){
2929                                         error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
2930                                         _metrics = old_metrics;
2931                                         break;
2932                                 }
2933
2934                         } else if (child->name() == MeterSection::xml_state_node_name) {
2935
2936                                 try {
2937                                         MeterSection* ms = new MeterSection (*child);
2938                                         _metrics.push_back (ms);
2939                                 }
2940
2941                                 catch (failed_constructor& err) {
2942                                         error << _("Tempo map: could not set new state, restoring old one.") << endmsg;
2943                                         _metrics = old_metrics;
2944                                         break;
2945                                 }
2946                         }
2947                 }
2948
2949                 if (niter == nlist.end()) {
2950                         MetricSectionSorter cmp;
2951                         _metrics.sort (cmp);
2952                 }
2953
2954                 /* check for legacy sessions where bbt was the base musical unit for tempo */
2955                 for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2956                         TempoSection* t;
2957                         if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
2958                                 if (t->legacy_bbt().bars != 0) {
2959                                         fix_legacy_session();
2960                                         break;
2961                                 }
2962                                 break;
2963                         }
2964                 }
2965
2966                 /* check for multiple tempo/meters at the same location, which
2967                    ardour2 somehow allowed.
2968                 */
2969
2970                 Metrics::iterator prev = _metrics.end();
2971                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
2972                         if (prev != _metrics.end()) {
2973                                 MeterSection* ms;
2974                                 MeterSection* prev_m;
2975                                 TempoSection* ts;
2976                                 TempoSection* prev_t;
2977                                 if ((prev_m = dynamic_cast<MeterSection*>(*prev)) != 0 && (ms = dynamic_cast<MeterSection*>(*i)) != 0) {
2978                                         if (prev_m->pulse() == ms->pulse()) {
2979                                                 cerr << string_compose (_("Multiple meter definitions found at %1"), prev_m->pulse()) << endmsg;
2980                                                 error << string_compose (_("Multiple meter definitions found at %1"), prev_m->pulse()) << endmsg;
2981                                                 return -1;
2982                                         }
2983                                 } else if ((prev_t = dynamic_cast<TempoSection*>(*prev)) != 0 && (ts = dynamic_cast<TempoSection*>(*i)) != 0) {
2984                                         if (prev_t->pulse() == ts->pulse()) {
2985                                                 cerr << string_compose (_("Multiple tempo definitions found at %1"), prev_t->pulse()) << endmsg;
2986                                                 error << string_compose (_("Multiple tempo definitions found at %1"), prev_t->pulse()) << endmsg;
2987                                                 return -1;
2988                                         }
2989                                 }
2990                         }
2991                         prev = i;
2992                 }
2993
2994                 recompute_map (_metrics);
2995         }
2996
2997         PropertyChanged (PropertyChange ());
2998
2999         return 0;
3000 }
3001
3002 void
3003 TempoMap::dump (const Metrics& metrics, std::ostream& o) const
3004 {
3005         Glib::Threads::RWLock::ReaderLock lm (lock, Glib::Threads::TRY_LOCK);
3006         const MeterSection* m;
3007         const TempoSection* t;
3008         const TempoSection* prev_t = 0;
3009
3010         for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
3011
3012                 if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
3013                         o << "Tempo @ " << *i << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->pulse() << " frame= " << t->frame() << " (movable? "
3014                           << t->movable() << ')' << " pos lock: " << enum_2_string (t->position_lock_style()) << std::endl;
3015                         o << "current      : " << t->beats_per_minute() << " | " << t->pulse() << " | " << t->frame() << std::endl;
3016                         if (prev_t) {
3017                                 o << "previous     : " << prev_t->beats_per_minute() << " | " << prev_t->pulse() << " | " << prev_t->frame() << std::endl;
3018                                 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;
3019                         }
3020                         prev_t = t;
3021                 } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
3022                         o << "Meter @ " << *i << ' ' << m->divisions_per_bar() << '/' << m->note_divisor() << " at " << m->bbt() << " frame= " << m->frame()
3023                           << " pulse: " << m->pulse() <<  " beat : " << m->beat() << " pos lock: " << enum_2_string (m->position_lock_style()) << " (movable? " << m->movable() << ')' << endl;
3024                 }
3025         }
3026         o << "------" << std::endl;
3027 }
3028
3029 int
3030 TempoMap::n_tempos() const
3031 {
3032         Glib::Threads::RWLock::ReaderLock lm (lock);
3033         int cnt = 0;
3034
3035         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3036                 if (dynamic_cast<const TempoSection*>(*i) != 0) {
3037                         cnt++;
3038                 }
3039         }
3040
3041         return cnt;
3042 }
3043
3044 int
3045 TempoMap::n_meters() const
3046 {
3047         Glib::Threads::RWLock::ReaderLock lm (lock);
3048         int cnt = 0;
3049
3050         for (Metrics::const_iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3051                 if (dynamic_cast<const MeterSection*>(*i) != 0) {
3052                         cnt++;
3053                 }
3054         }
3055
3056         return cnt;
3057 }
3058
3059 void
3060 TempoMap::insert_time (framepos_t where, framecnt_t amount)
3061 {
3062         {
3063                 Glib::Threads::RWLock::WriterLock lm (lock);
3064                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3065                         if ((*i)->frame() >= where && (*i)->movable ()) {
3066                                 (*i)->set_frame ((*i)->frame() + amount);
3067                         }
3068                 }
3069
3070                 /* now reset the BBT time of all metrics, based on their new
3071                  * audio time. This is the only place where we do this reverse
3072                  * timestamp.
3073                  */
3074
3075                 Metrics::iterator i;
3076                 const MeterSection* meter;
3077                 const TempoSection* tempo;
3078                 MeterSection *m;
3079                 TempoSection *t;
3080
3081                 meter = &first_meter ();
3082                 tempo = &first_tempo ();
3083
3084                 BBT_Time start;
3085                 BBT_Time end;
3086
3087                 // cerr << "\n###################### TIMESTAMP via AUDIO ##############\n" << endl;
3088
3089                 bool first = true;
3090                 MetricSection* prev = 0;
3091
3092                 for (i = _metrics.begin(); i != _metrics.end(); ++i) {
3093
3094                         BBT_Time bbt;
3095                         //TempoMetric metric (*meter, *tempo);
3096                         MeterSection* ms = const_cast<MeterSection*>(meter);
3097                         TempoSection* ts = const_cast<TempoSection*>(tempo);
3098                         if (prev) {
3099                                 if (ts){
3100                                         if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
3101                                                 if (!t->active()) {
3102                                                         continue;
3103                                                 }
3104                                                 ts->set_pulse (t->pulse());
3105                                         }
3106                                         if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
3107                                                 ts->set_pulse (m->pulse());
3108                                         }
3109                                         ts->set_frame (prev->frame());
3110
3111                                 }
3112                                 if (ms) {
3113                                         if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
3114                                                 pair<double, BBT_Time> start = make_pair (m->beat(), m->bbt());
3115                                                 ms->set_beat (start);
3116                                                 ms->set_pulse (m->pulse());
3117                                         }
3118                                         if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
3119                                                 if (!t->active()) {
3120                                                         continue;
3121                                                 }
3122                                                 const double beat = beat_at_pulse_locked (_metrics, t->pulse());
3123                                                 pair<double, BBT_Time> start = make_pair (beat, beats_to_bbt_locked (_metrics, beat));
3124                                                 ms->set_beat (start);
3125                                                 ms->set_pulse (t->pulse());
3126                                         }
3127                                         ms->set_frame (prev->frame());
3128                                 }
3129
3130                         } else {
3131                                 // metric will be at frames=0 bbt=1|1|0 by default
3132                                 // which is correct for our purpose
3133                         }
3134
3135                         // cerr << bbt << endl;
3136
3137                         if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
3138                                 if (!t->active()) {
3139                                         continue;
3140                                 }
3141                                 t->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
3142                                 tempo = t;
3143                                 // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
3144                         } else if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
3145                                 bbt_time (m->frame(), bbt);
3146
3147                                 // cerr << "timestamp @ " << (*i)->frame() << " with " << bbt.bars << "|" << bbt.beats << "|" << bbt.ticks << " => ";
3148
3149                                 if (first) {
3150                                         first = false;
3151                                 } else {
3152
3153                                         if (bbt.ticks > BBT_Time::ticks_per_beat/2) {
3154                                                 /* round up to next beat */
3155                                                 bbt.beats += 1;
3156                                         }
3157
3158                                         bbt.ticks = 0;
3159
3160                                         if (bbt.beats != 1) {
3161                                                 /* round up to next bar */
3162                                                 bbt.bars += 1;
3163                                                 bbt.beats = 1;
3164                                         }
3165                                 }
3166                                 pair<double, BBT_Time> start = make_pair (beat_at_frame_locked (_metrics, m->frame()), bbt);
3167                                 m->set_beat (start);
3168                                 m->set_pulse (pulse_at_frame_locked (_metrics, m->frame()));
3169                                 meter = m;
3170                                 // cerr << "NEW METER, frame = " << (*i)->frame() << " beat = " << (*i)->pulse() <<endl;
3171                         } else {
3172                                 fatal << _("programming error: unhandled MetricSection type") << endmsg;
3173                                 abort(); /*NOTREACHED*/
3174                         }
3175
3176                         prev = (*i);
3177                 }
3178
3179                 recompute_map (_metrics);
3180         }
3181
3182
3183         PropertyChanged (PropertyChange ());
3184 }
3185 bool
3186 TempoMap::remove_time (framepos_t where, framecnt_t amount)
3187 {
3188         bool moved = false;
3189
3190         std::list<MetricSection*> metric_kill_list;
3191
3192         TempoSection* last_tempo = NULL;
3193         MeterSection* last_meter = NULL;
3194         bool tempo_after = false; // is there a tempo marker at the first sample after the removed range?
3195         bool meter_after = false; // is there a meter marker likewise?
3196         {
3197                 Glib::Threads::RWLock::WriterLock lm (lock);
3198                 for (Metrics::iterator i = _metrics.begin(); i != _metrics.end(); ++i) {
3199                         if ((*i)->frame() >= where && (*i)->frame() < where+amount) {
3200                                 metric_kill_list.push_back(*i);
3201                                 TempoSection *lt = dynamic_cast<TempoSection*> (*i);
3202                                 if (lt)
3203                                         last_tempo = lt;
3204                                 MeterSection *lm = dynamic_cast<MeterSection*> (*i);
3205                                 if (lm)
3206                                         last_meter = lm;
3207                         }
3208                         else if ((*i)->frame() >= where) {
3209                                 // TODO: make sure that moved tempo/meter markers are rounded to beat/bar boundaries
3210                                 (*i)->set_frame ((*i)->frame() - amount);
3211                                 if ((*i)->frame() == where) {
3212                                         // marker was immediately after end of range
3213                                         tempo_after = dynamic_cast<TempoSection*> (*i);
3214                                         meter_after = dynamic_cast<MeterSection*> (*i);
3215                                 }
3216                                 moved = true;
3217                         }
3218                 }
3219
3220                 //find the last TEMPO and METER metric (if any) and move it to the cut point so future stuff is correct
3221                 if (last_tempo && !tempo_after) {
3222                         metric_kill_list.remove(last_tempo);
3223                         last_tempo->set_frame(where);
3224                         moved = true;
3225                 }
3226                 if (last_meter && !meter_after) {
3227                         metric_kill_list.remove(last_meter);
3228                         last_meter->set_frame(where);
3229                         moved = true;
3230                 }
3231
3232                 //remove all the remaining metrics
3233                 for (std::list<MetricSection*>::iterator i = metric_kill_list.begin(); i != metric_kill_list.end(); ++i) {
3234                         _metrics.remove(*i);
3235                         moved = true;
3236                 }
3237
3238                 if (moved) {
3239                         recompute_map (_metrics);
3240                 }
3241         }
3242         PropertyChanged (PropertyChange ());
3243         return moved;
3244 }
3245
3246 /** Add some (fractional) beats to a session frame position, and return the result in frames.
3247  *  pos can be -ve, if required.
3248  */
3249 framepos_t
3250 TempoMap::framepos_plus_beats (framepos_t pos, Evoral::Beats beats) const
3251 {
3252         return frame_at_beat (beat_at_frame (pos) + beats.to_double());
3253 }
3254
3255 /** Subtract some (fractional) beats from a frame position, and return the result in frames */
3256 framepos_t
3257 TempoMap::framepos_minus_beats (framepos_t pos, Evoral::Beats beats) const
3258 {
3259         return frame_at_beat (beat_at_frame (pos) - beats.to_double());
3260 }
3261
3262 /** Add the BBT interval op to pos and return the result */
3263 framepos_t
3264 TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
3265 {
3266         Glib::Threads::RWLock::ReaderLock lm (lock);
3267
3268         BBT_Time pos_bbt = beats_to_bbt_locked (_metrics, beat_at_frame_locked (_metrics, pos));
3269         pos_bbt.ticks += op.ticks;
3270         if (pos_bbt.ticks >= BBT_Time::ticks_per_beat) {
3271                 ++pos_bbt.beats;
3272                 pos_bbt.ticks -= BBT_Time::ticks_per_beat;
3273         }
3274         pos_bbt.beats += op.beats;
3275         /* the meter in effect will start on the bar */
3276         double divisions_per_bar = meter_section_at (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
3277         while (pos_bbt.beats >= divisions_per_bar + 1) {
3278                 ++pos_bbt.bars;
3279                 divisions_per_bar = meter_section_at (bbt_to_beats_locked (_metrics, BBT_Time (pos_bbt.bars + op.bars, 1, 0))).divisions_per_bar();
3280                 pos_bbt.beats -= divisions_per_bar;
3281         }
3282         pos_bbt.bars += op.bars;
3283
3284         return frame_time_locked (_metrics, pos_bbt);
3285 }
3286
3287 /** Count the number of beats that are equivalent to distance when going forward,
3288     starting at pos.
3289 */
3290 Evoral::Beats
3291 TempoMap::framewalk_to_beats (framepos_t pos, framecnt_t distance) const
3292 {
3293         return Evoral::Beats (beat_at_frame (pos + distance) - beat_at_frame (pos));
3294 }
3295
3296 struct bbtcmp {
3297     bool operator() (const BBT_Time& a, const BBT_Time& b) {
3298             return a < b;
3299     }
3300 };
3301
3302 std::ostream&
3303 operator<< (std::ostream& o, const Meter& m) {
3304         return o << m.divisions_per_bar() << '/' << m.note_divisor();
3305 }
3306
3307 std::ostream&
3308 operator<< (std::ostream& o, const Tempo& t) {
3309         return o << t.beats_per_minute() << " 1/" << t.note_type() << "'s per minute";
3310 }
3311
3312 std::ostream&
3313 operator<< (std::ostream& o, const MetricSection& section) {
3314
3315         o << "MetricSection @ " << section.frame() << ' ';
3316
3317         const TempoSection* ts;
3318         const MeterSection* ms;
3319
3320         if ((ts = dynamic_cast<const TempoSection*> (&section)) != 0) {
3321                 o << *((const Tempo*) ts);
3322         } else if ((ms = dynamic_cast<const MeterSection*> (&section)) != 0) {
3323                 o << *((const Meter*) ms);
3324         }
3325
3326         return o;
3327 }