Tempo ramps - api rename, fix various meter and tempo dialog bugs.
[ardour.git] / libs / ardour / tempo.cc
index 142c6d5108635071d5fc323568394d28a2879be0..553f7ab1de34d763988eca4fc1c471bac438e9bd 100644 (file)
 
 #include <algorithm>
 #include <stdexcept>
+#include <cmath>
 
 #include <unistd.h>
 
-#include <cmath>
-
-#include <glibmm/thread.h>
+#include <glibmm/threads.h>
 #include "pbd/xml++.h"
-#include "evoral/types.hpp"
+#include "evoral/Beats.hpp"
 #include "ardour/debug.h"
+#include "ardour/lmath.h"
 #include "ardour/tempo.h"
-#include "ardour/utils.h"
 
 #include "i18n.h"
 #include <locale.h>
@@ -45,19 +44,13 @@ using Timecode::BBT_Time;
 Meter    TempoMap::_default_meter (4.0, 4.0);
 Tempo    TempoMap::_default_tempo (120.0);
 
-double 
-Tempo::frames_per_beat (framecnt_t sr) const
-{
-       return  (60.0 * sr) / _beats_per_minute;
-}
-
 /***********************************************************************/
 
-double 
+double
 Meter::frames_per_grid (const Tempo& tempo, framecnt_t sr) const
 {
        /* This is tempo- and meter-sensitive. The number it returns
-          is based on the interval between any two lines in the 
+          is based on the interval between any two lines in the
           grid that is constructed from tempo and meter sections.
 
           The return value IS NOT interpretable in terms of "beats".
@@ -72,31 +65,44 @@ Meter::frames_per_bar (const Tempo& tempo, framecnt_t sr) const
        return frames_per_grid (tempo, sr) * _divisions_per_bar;
 }
 
+
 /***********************************************************************/
 
 const string TempoSection::xml_state_node_name = "Tempo";
 
 TempoSection::TempoSection (const XMLNode& node)
-       : MetricSection (BBT_Time()), Tempo (TempoMap::default_tempo())
+       : MetricSection (0.0), Tempo (TempoMap::default_tempo())
 {
        const XMLProperty *prop;
-       BBT_Time start;
-       LocaleGuard lg (X_("POSIX"));
-
-       if ((prop = node.property ("start")) == 0) {
+       LocaleGuard lg;
+       BBT_Time bbt;
+       double beat;
+
+       if ((prop = node.property ("start")) != 0) {
+               if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
+                           &bbt.bars,
+                           &bbt.beats,
+                           &bbt.ticks) == 3) {
+                       /* legacy session - start used to be in bbt*/
+                       _legacy_bbt = bbt;
+                       beat = -1.0;
+                       set_beat (beat);
+               }
+       } else {
                error << _("TempoSection XML node has no \"start\" property") << endmsg;
-               throw failed_constructor();
        }
 
-       if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
-                   &start.bars,
-                   &start.beats,
-                   &start.ticks) < 3) {
-               error << _("TempoSection XML node has an illegal \"start\" value") << endmsg;
-               throw failed_constructor();
+
+       if ((prop = node.property ("beat")) != 0) {
+               if (sscanf (prop->value().c_str(), "%lf", &beat) != 1 || beat < 0.0) {
+                       error << _("TempoSection XML node has an illegal \"beat\" value") << endmsg;
+               } else {
+                       set_beat (beat);
+               }
+       } else {
+               error << _("TempoSection XML node has no \"beat\" property") << endmsg;
        }
 
-       set_start (start);
 
        if ((prop = node.property ("beats-per-minute")) == 0) {
                error << _("TempoSection XML node has no \"beats-per-minute\" property") << endmsg;
@@ -133,6 +139,16 @@ TempoSection::TempoSection (const XMLNode& node)
                        throw failed_constructor();
                }
        }
+
+       if ((prop = node.property ("tempo-type")) == 0) {
+               _type = Type::Constant;
+       } else {
+               if (strstr(prop->value().c_str(),"Constant")) {
+                       _type = Type::Constant;
+               } else {
+                       _type = Type::Ramp;
+               }
+       }
 }
 
 XMLNode&
@@ -140,13 +156,10 @@ TempoSection::get_state() const
 {
        XMLNode *root = new XMLNode (xml_state_node_name);
        char buf[256];
-       LocaleGuard lg (X_("POSIX"));
+       LocaleGuard lg;
 
-       snprintf (buf, sizeof (buf), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
-                 start().bars,
-                 start().beats,
-                 start().ticks);
-       root->add_property ("start", buf);
+       snprintf (buf, sizeof (buf), "%f", beat());
+       root->add_property ("beat", buf);
        snprintf (buf, sizeof (buf), "%f", _beats_per_minute);
        root->add_property ("beats-per-minute", buf);
        snprintf (buf, sizeof (buf), "%f", _note_type);
@@ -156,6 +169,9 @@ TempoSection::get_state() const
        snprintf (buf, sizeof (buf), "%s", movable()?"yes":"no");
        root->add_property ("movable", buf);
 
+       snprintf (buf, sizeof (buf), "%s", _type == Constant?"Constant":"Ramp");
+       root->add_property ("tempo-type", buf);
+
        return *root;
 }
 
@@ -163,35 +179,180 @@ void
 
 TempoSection::update_bar_offset_from_bbt (const Meter& m)
 {
-       _bar_offset = ((start().beats - 1) * BBT_Time::ticks_per_beat + start().ticks) / 
+       _bar_offset = (beat() * BBT_Time::ticks_per_beat) /
                (m.divisions_per_bar() * BBT_Time::ticks_per_beat);
 
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Tempo set bar offset to %1 from %2 w/%3\n", _bar_offset, start(), m.divisions_per_bar()));
+       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Tempo set bar offset to %1 from %2 w/%3\n", _bar_offset, beat(), m.divisions_per_bar()));
+}
+
+void
+TempoSection::set_type (Type type)
+{
+       _type = type;
+}
+
+/** returns the tempo at the zero-based (relative to tempo section) frame.
+*/
+double
+TempoSection::tempo_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+
+       if (_type == Constant) {
+               return beats_per_minute();
+       }
+
+       return tick_tempo_at_time (frame_to_minute (frame, frame_rate), end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)) / BBT_Time::ticks_per_beat;
+}
+
+/** returns the zero-based frame (relative to tempo section)
+   where the tempo occurs.
+*/
+framepos_t
+TempoSection::frame_at_tempo (double tempo, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+       if (_type == Constant) {
+               return 0;
+       }
+
+       return minute_to_frame (time_at_tick_tempo (tempo *  BBT_Time::ticks_per_beat,  end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)), frame_rate);
+}
+
+/** returns the zero-based tick (relative to tempo section)
+   where the zero-based frame (relative to tempo section)
+   lies.
+*/
+double
+TempoSection::tick_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+       if (_type == Constant) {
+               return (frame / frames_per_beat (frame_rate)) * BBT_Time::ticks_per_beat;
+       }
+
+       return tick_at_time (frame_to_minute (frame, frame_rate), end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate));
+}
+
+/** returns the zero-based frame (relative to tempo section)
+   where the zero-based tick (relative to tempo section)
+   falls.
+*/
+framepos_t
+TempoSection::frame_at_tick (double tick, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+       if (_type == Constant) {
+               return (framepos_t) floor ((tick  / BBT_Time::ticks_per_beat) * frames_per_beat (frame_rate));
+       }
+
+       return minute_to_frame (time_at_tick (tick, end_bpm *  BBT_Time::ticks_per_beat, frame_to_minute (end_frame, frame_rate)), frame_rate);
+}
+
+/** returns the zero-based beat (relative to tempo section)
+   where the zero-based frame (relative to tempo section)
+   lies.
+*/
+double
+TempoSection::beat_at_frame (framepos_t frame, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+       return tick_at_frame (frame, end_bpm, end_frame, frame_rate) / BBT_Time::ticks_per_beat;
+}
+
+/** returns the zero-based frame (relative to tempo section start frame)
+   where the zero-based beat (relative to tempo section start)
+   falls.
+*/
+
+framepos_t
+TempoSection::frame_at_beat (double beat, double end_bpm, framepos_t end_frame, framecnt_t frame_rate) const
+{
+       return frame_at_tick (beat * BBT_Time::ticks_per_beat, end_bpm, end_frame, frame_rate);
+}
+
+framecnt_t
+TempoSection::minute_to_frame (double time, framecnt_t frame_rate) const
+{
+       return time * 60.0 * frame_rate;
+}
+
+double
+TempoSection::frame_to_minute (framecnt_t frame, framecnt_t frame_rate) const
+{
+       return (frame / (double) frame_rate) / 60.0;
+}
+
+/* position function */
+double
+TempoSection::a_func (double end_tpm, double c_func) const
+{
+       return log (end_tpm / ticks_per_minute()) /  c_func;
+}
+
+/*function constant*/
+double
+TempoSection::c_func (double end_tpm, double end_time) const
+{
+       return log (end_tpm / ticks_per_minute()) /  end_time;
+}
+
+/* tempo in tpm at time in minutes */
+double
+TempoSection::tick_tempo_at_time (double time, double end_tpm, double end_time) const
+{
+       return exp (c_func (end_tpm, end_time) * time) * ticks_per_minute();
+}
+
+/* time in minutes at tempo in tpm */
+double
+TempoSection::time_at_tick_tempo (double tick_tempo, double end_tpm, double end_time) const
+{
+       return log (tick_tempo / ticks_per_minute()) / c_func (end_tpm, end_time);
+}
+
+/* tick at time in minutes */
+double
+TempoSection::tick_at_time (double time, double end_tpm, double end_time) const
+{
+       return ((exp (c_func (end_tpm, end_time) * time)) - 1) * ticks_per_minute() / c_func (end_tpm, end_time);
+}
+
+/* time in minutes at tick */
+double
+TempoSection::time_at_tick (double tick, double end_tpm, double end_time) const
+{
+       return log (((c_func (end_tpm, end_time) * tick) / ticks_per_minute()) + 1) / c_func (end_tpm, end_time);
+}
+
+/* beat at time in minutes */
+double
+TempoSection::beat_at_time (double time, double end_tpm, double end_time) const
+{
+       return tick_at_time (time, end_tpm, end_time) / BBT_Time::ticks_per_beat;
+}
+
+/* time in munutes at beat */
+double
+TempoSection::time_at_beat (double beat, double end_tpm, double end_time) const
+{
+       return time_at_tick (beat * BBT_Time::ticks_per_beat, end_tpm, end_time);
 }
 
 void
 TempoSection::update_bbt_time_from_bar_offset (const Meter& meter)
 {
-       BBT_Time new_start;
+       double new_beat;
 
        if (_bar_offset < 0.0) {
                /* not set yet */
                return;
        }
 
-       new_start.bars = start().bars;
-       
+       new_beat = beat();
+
        double ticks = BBT_Time::ticks_per_beat * meter.divisions_per_bar() * _bar_offset;
-       new_start.beats = (uint32_t) floor (ticks/BBT_Time::ticks_per_beat);
-       new_start.ticks = 0; /* (uint32_t) fmod (ticks, BBT_Time::ticks_per_beat); */
+       new_beat = ticks / BBT_Time::ticks_per_beat;
 
-       /* remember the 1-based counting properties of beats */
-       new_start.beats += 1;
-                                           
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("from bar offset %1 and dpb %2, ticks = %3->%4 beats = %5\n", 
-                                                      _bar_offset, meter.divisions_per_bar(), ticks, new_start.ticks, new_start.beats));
+       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("from bar offset %1 and dpb %2, ticks = %3->%4 beats = %5\n",
+                                                      _bar_offset, meter.divisions_per_bar(), ticks, new_beat, new_beat));
 
-       set_start (new_start);
+       set_beat (new_beat);
 }
 
 /***********************************************************************/
@@ -199,26 +360,53 @@ TempoSection::update_bbt_time_from_bar_offset (const Meter& meter)
 const string MeterSection::xml_state_node_name = "Meter";
 
 MeterSection::MeterSection (const XMLNode& node)
-       : MetricSection (BBT_Time()), Meter (TempoMap::default_meter())
+       : MetricSection (0.0), Meter (TempoMap::default_meter())
 {
-       const XMLProperty *prop;
+       XMLProperty const * prop;
        BBT_Time start;
-       LocaleGuard lg (X_("POSIX"));
-
-       if ((prop = node.property ("start")) == 0) {
+       LocaleGuard lg;
+       const XMLProperty *prop;
+       BBT_Time bbt;
+       double beat = 0.0;
+       pair<double, BBT_Time> start;
+
+       if ((prop = node.property ("start")) != 0) {
+               if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
+                   &bbt.bars,
+                   &bbt.beats,
+                   &bbt.ticks) < 3) {
+                       error << _("MeterSection XML node has an illegal \"start\" value") << endmsg;
+               } else {
+                       /* legacy session - start used to be in bbt*/
+                       beat = -1.0;
+               }
+       } else {
                error << _("MeterSection XML node has no \"start\" property") << endmsg;
-               throw failed_constructor();
        }
 
-       if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
-                   &start.bars,
-                   &start.beats,
-                   &start.ticks) < 3) {
-               error << _("MeterSection XML node has an illegal \"start\" value") << endmsg;
+       if ((prop = node.property ("beat")) != 0) {
+               if (sscanf (prop->value().c_str(), "%lf", &beat) != 1 || beat < 0.0) {
+                       error << _("MeterSection XML node has an illegal \"beat\" value") << endmsg;
+               }
+       } else {
+               error << _("MeterSection XML node has no \"beat\" property") << endmsg;
+       }
+
+       start.first = beat;
+
+       if ((prop = node.property ("bbt")) == 0) {
+               error << _("MeterSection XML node has no \"bbt\" property") << endmsg;
+       } else if (sscanf (prop->value().c_str(), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
+                   &bbt.bars,
+                   &bbt.beats,
+                   &bbt.ticks) < 3) {
+               error << _("MeterSection XML node has an illegal \"bbt\" value") << endmsg;
                throw failed_constructor();
        }
 
-       set_start (start);
+       start.second = bbt;
+
+       set_beat (start);
 
        /* beats-per-bar is old; divisions-per-bar is new */
 
@@ -226,7 +414,7 @@ MeterSection::MeterSection (const XMLNode& node)
                if ((prop = node.property ("beats-per-bar")) == 0) {
                        error << _("MeterSection XML node has no \"beats-per-bar\" or \"divisions-per-bar\" property") << endmsg;
                        throw failed_constructor();
-               } 
+               }
        }
 
        if (sscanf (prop->value().c_str(), "%lf", &_divisions_per_bar) != 1 || _divisions_per_bar < 0.0) {
@@ -257,13 +445,15 @@ MeterSection::get_state() const
 {
        XMLNode *root = new XMLNode (xml_state_node_name);
        char buf[256];
-       LocaleGuard lg (X_("POSIX"));
+       LocaleGuard lg;
 
        snprintf (buf, sizeof (buf), "%" PRIu32 "|%" PRIu32 "|%" PRIu32,
-                 start().bars,
-                 start().beats,
-                 start().ticks);
-       root->add_property ("start", buf);
+                 bbt().bars,
+                 bbt().beats,
+                 bbt().ticks);
+       root->add_property ("bbt", buf);
+       snprintf (buf, sizeof (buf), "%lf", beat());
+       root->add_property ("beat", buf);
        snprintf (buf, sizeof (buf), "%f", _note_type);
        root->add_property ("note-type", buf);
        snprintf (buf, sizeof (buf), "%f", _divisions_per_bar);
@@ -278,7 +468,13 @@ MeterSection::get_state() const
 
 struct MetricSectionSorter {
     bool operator() (const MetricSection* a, const MetricSection* b) {
-           return a->start() < b->start();
+           return a->beat() < b->beat();
+    }
+};
+
+struct MetricSectionFrameSorter {
+    bool operator() (const MetricSection* a, const MetricSection* b) {
+           return a->frame() < b->frame();
     }
 };
 
@@ -291,8 +487,8 @@ TempoMap::TempoMap (framecnt_t fr)
        start.beats = 1;
        start.ticks = 0;
 
-       TempoSection *t = new TempoSection (start, _default_tempo.beats_per_minute(), _default_tempo.note_type());
-       MeterSection *m = new MeterSection (start, _default_meter.divisions_per_bar(), _default_meter.note_divisor());
+       TempoSection *t = new TempoSection (0.0, _default_tempo.beats_per_minute(), _default_tempo.note_type(), TempoSection::Type::Constant);
+       MeterSection *m = new MeterSection (0.0, start, _default_meter.divisions_per_bar(), _default_meter.note_divisor());
 
        t->set_movable (false);
        m->set_movable (false);
@@ -301,6 +497,7 @@ TempoMap::TempoMap (framecnt_t fr)
 
        metrics.push_back (t);
        metrics.push_back (m);
+
 }
 
 TempoMap::~TempoMap ()
@@ -313,24 +510,12 @@ TempoMap::remove_tempo (const TempoSection& tempo, bool complete_operation)
        bool removed = false;
 
        {
-               Glib::RWLock::WriterLock lm (lock);
-               Metrics::iterator i;
-
-               for (i = metrics.begin(); i != metrics.end(); ++i) {
-                       if (dynamic_cast<TempoSection*> (*i) != 0) {
-                               if (tempo.frame() == (*i)->frame()) {
-                                       if ((*i)->movable()) {
-                                               metrics.erase (i);
-                                               removed = true;
-                                               break;
-                                       }
-                               }
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               if ((removed = remove_tempo_locked (tempo))) {
+                       if (complete_operation) {
+                               recompute_map (true);
                        }
                }
-
-               if (removed && complete_operation) {
-                       recompute_map (false);
-               }
        }
 
        if (removed && complete_operation) {
@@ -338,30 +523,37 @@ TempoMap::remove_tempo (const TempoSection& tempo, bool complete_operation)
        }
 }
 
+bool
+TempoMap::remove_tempo_locked (const TempoSection& tempo)
+{
+       Metrics::iterator i;
+
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               if (dynamic_cast<TempoSection*> (*i) != 0) {
+                       if (tempo.frame() == (*i)->frame()) {
+                               if ((*i)->movable()) {
+                                       metrics.erase (i);
+                                       return true;
+                               }
+                       }
+               }
+       }
+
+       return false;
+}
+
 void
 TempoMap::remove_meter (const MeterSection& tempo, bool complete_operation)
 {
        bool removed = false;
 
        {
-               Glib::RWLock::WriterLock lm (lock);
-               Metrics::iterator i;
-
-               for (i = metrics.begin(); i != metrics.end(); ++i) {
-                       if (dynamic_cast<MeterSection*> (*i) != 0) {
-                               if (tempo.frame() == (*i)->frame()) {
-                                       if ((*i)->movable()) {
-                                               metrics.erase (i);
-                                               removed = true;
-                                               break;
-                                       }
-                               }
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               if ((removed = remove_meter_locked (tempo))) {
+                       if (complete_operation) {
+                               recompute_map (true);
                        }
                }
-
-               if (removed && complete_operation) {
-                       recompute_map (true);
-               }
        }
 
        if (removed && complete_operation) {
@@ -369,37 +561,54 @@ TempoMap::remove_meter (const MeterSection& tempo, bool complete_operation)
        }
 }
 
+bool
+TempoMap::remove_meter_locked (const MeterSection& tempo)
+{
+       Metrics::iterator i;
+
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               if (dynamic_cast<MeterSection*> (*i) != 0) {
+                       if (tempo.frame() == (*i)->frame()) {
+                               if ((*i)->movable()) {
+                                       metrics.erase (i);
+                                       return true;
+                               }
+                       }
+               }
+       }
+
+       return false;
+}
+
 void
 TempoMap::do_insert (MetricSection* section)
 {
        bool need_add = true;
 
-       assert (section->start().ticks == 0);
-
        /* we only allow new meters to be inserted on beat 1 of an existing
-        * measure. 
+        * measure.
         */
-
-       if (dynamic_cast<MeterSection*>(section)) {
+       MeterSection* m = 0;
+       if ((m = dynamic_cast<MeterSection*>(section)) != 0) {
+               assert (m->bbt().ticks == 0);
 
                /* we need to (potentially) update the BBT times of tempo
                   sections based on this new meter.
                */
-               
-               if ((section->start().beats != 1) || (section->start().ticks != 0)) {
-                       
-                       BBT_Time corrected = section->start();
-                       corrected.beats = 1;
-                       corrected.ticks = 0;
-                       
+
+               if ((m->bbt().beats != 1) || (m->bbt().ticks != 0)) {
+
+                       pair<double, BBT_Time> corrected = make_pair (m->beat(), m->bbt());
+                       corrected.second.beats = 1;
+                       corrected.second.ticks = 0;
+                       corrected.first = bbt_to_beats_unlocked (corrected.second);
                        warning << string_compose (_("Meter changes can only be positioned on the first beat of a bar. Moving from %1 to %2"),
-                                                  section->start(), corrected) << endmsg;
-                       
-                       section->set_start (corrected);
+                                                  m->bbt(), corrected.second) << endmsg;
+                       m->set_beat (corrected);
                }
        }
 
-       
+
 
        /* Look for any existing MetricSection that is of the same type and
           in the same bar as the new one, and remove it before adding
@@ -410,49 +619,49 @@ TempoMap::do_insert (MetricSection* section)
 
        for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
 
-               bool const iter_is_tempo = dynamic_cast<TempoSection*> (*i) != 0;
-               bool const insert_is_tempo = dynamic_cast<TempoSection*> (section) != 0;
+               TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
+               TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
 
-               if (iter_is_tempo && insert_is_tempo) {
+               if (tempo && insert_tempo) {
 
                        /* Tempo sections */
 
-                       if ((*i)->start().bars == section->start().bars &&
-                           (*i)->start().beats == section->start().beats) {
+                       if (tempo->beat() == insert_tempo->beat()) {
+
+                               if (!tempo->movable()) {
 
-                               if (!(*i)->movable()) {
-                                       
                                        /* can't (re)move this section, so overwrite
                                         * its data content (but not its properties as
                                         * a section).
                                         */
-                                       
-                                       *(dynamic_cast<Tempo*>(*i)) = *(dynamic_cast<Tempo*>(section));
+
+                                       *(dynamic_cast<Tempo*>(*i)) = *(dynamic_cast<Tempo*>(insert_tempo));
                                        need_add = false;
                                } else {
                                        metrics.erase (i);
                                }
                                break;
-                       } 
+                       }
 
-               } else if (!iter_is_tempo && !insert_is_tempo) {
+               } else if (!tempo && !insert_tempo) {
 
                        /* Meter Sections */
+                       MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
+                       MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
+                       if (meter->beat() == insert_meter->beat()) {
 
-                       if ((*i)->start().bars == section->start().bars) {
+                               if (!meter->movable()) {
 
-                               if (!(*i)->movable()) {
-                                       
                                        /* can't (re)move this section, so overwrite
                                         * its data content (but not its properties as
                                         * a section
                                         */
-                                       
-                                       *(dynamic_cast<Meter*>(*i)) = *(dynamic_cast<Meter*>(section));
+
+                                       *(dynamic_cast<Meter*>(*i)) = *(dynamic_cast<Meter*>(insert_meter));
                                        need_add = false;
                                } else {
                                        metrics.erase (i);
-                                       
+
                                }
 
                                break;
@@ -467,33 +676,51 @@ TempoMap::do_insert (MetricSection* section)
         */
 
        if (need_add) {
+               MeterSection* const insert_meter = dynamic_cast<MeterSection*> (section);
+               TempoSection* const insert_tempo = dynamic_cast<TempoSection*> (section);
 
                Metrics::iterator i;
+               if (insert_meter) {
+                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                               MeterSection* const meter = dynamic_cast<MeterSection*> (*i);
 
-               for (i = metrics.begin(); i != metrics.end(); ++i) {
-                       if ((*i)->start() > section->start()) {
-                               break;
+                               if (meter && meter->beat() > insert_meter->beat()) {
+                                       break;
+                               }
+                       }
+               } else if (insert_tempo) {
+                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                               TempoSection* const tempo = dynamic_cast<TempoSection*> (*i);
+
+                               if (tempo) {
+                                       if (tempo->beat() > insert_tempo->beat()) {
+                                               break;
+                                       }
+                               }
                        }
                }
-               
+
                metrics.insert (i, section);
        }
 }
 
 void
-TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const BBT_Time& where)
+TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const double& where, TempoSection::Type type)
 {
-       const TempoSection& first (first_tempo());
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               TempoSection& first (first_tempo());
 
-       if (ts.start() != first.start()) {
-               remove_tempo (ts, false);
-               add_tempo (tempo, where);
-       } else {
-               {
-                       Glib::RWLock::WriterLock lm (lock);
-                       /* cannot move the first tempo section */
-                       *((Tempo*)&first) = tempo;
-                       recompute_map (false);
+               if (ts.beat() != first.beat()) {
+                       remove_tempo_locked (ts);
+                       add_tempo_locked (tempo, where, true, type);
+               } else {
+                       first.set_type (type);
+                       {
+                               /* cannot move the first tempo section */
+                               *static_cast<Tempo*>(&first) = tempo;
+                               recompute_map (false);
+                       }
                }
        }
 
@@ -501,49 +728,90 @@ TempoMap::replace_tempo (const TempoSection& ts, const Tempo& tempo, const BBT_T
 }
 
 void
-TempoMap::add_tempo (const Tempo& tempo, BBT_Time where)
+TempoMap::gui_set_tempo_frame (TempoSection& ts, framepos_t frame, double  beat_where)
 {
        {
-               Glib::RWLock::WriterLock lm (lock);
+               Glib::Threads::RWLock::WriterLock lm (lock);
 
-               /* new tempos always start on a beat */
-               where.ticks = 0;
+               /* currently this is always done in audio time */
+               //if (ts.position_lock_style() == MusicTime) {
+               if (0) {
+                       /* MusicTime */
+                       ts.set_beat (beat_where);
+                       MetricSectionSorter cmp;
+                       metrics.sort (cmp);
+               } else {
+                       /*AudioTime*/
+                       ts.set_frame (frame);
 
-               TempoSection* ts = new TempoSection (where, tempo.beats_per_minute(), tempo.note_type());
-               
-               /* find the meter to use to set the bar offset of this
-                * tempo section.
-                */
+                       MetricSectionFrameSorter fcmp;
+                       metrics.sort (fcmp);
 
-               const Meter* meter = &first_meter();
-               
-               /* as we start, we are *guaranteed* to have m.meter and m.tempo pointing
-                  at something, because we insert the default tempo and meter during
-                  TempoMap construction.
-                  
-                  now see if we can find better candidates.
-               */
-               
-               for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
-                       
-                       const MeterSection* m;
-                       
-                       if (where < (*i)->start()) {
-                               break;
+                       Metrics::const_iterator i;
+                       TempoSection* prev_ts = 0;
+                       TempoSection* next_ts = 0;
+
+                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                               TempoSection* t;
+                               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+
+                                       if (t->frame() >= frame) {
+                                               break;
+                                       }
+
+                                       prev_ts = t;
+                               }
                        }
-                       
-                       if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                               meter = m;
+
+                       for (i = metrics.begin(); i != metrics.end(); ++i) {
+                               TempoSection* t;
+                               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+
+                                       if (t->frame() > frame) {
+                                               next_ts = t;
+                                               break;
+                                       }
+                               }
+                       }
+
+                       if (prev_ts) {
+                               /* set the start beat */
+                               double beats_to_ts = prev_ts->beat_at_frame (frame - prev_ts->frame(), ts.beats_per_minute(), frame - prev_ts->frame(), _frame_rate);
+                               double beats = beats_to_ts + prev_ts->beat();
+
+                               if (next_ts) {
+                                       if (next_ts->beat() < beats) {
+                                               /* with frame-based editing, it is possible to get in a
+                                                  situation where if the tempo was placed at the mouse pointer frame,
+                                                  the following music-based tempo would jump to an earlier frame,
+                                                  changing the beat beat of the moved tempo.
+                                                  in this case, we have to do some beat-based comparison TODO
+                                               */
+                                       } else if (prev_ts->beat() > beats) {
+                                               ts.set_beat (prev_ts->beat());
+                                       } else {
+                                               ts.set_beat (beats);
+                                       }
+                               } else {
+                                       ts.set_beat (beats);
+                               }
+                               MetricSectionSorter cmp;
+                               metrics.sort (cmp);
                        }
                }
 
-               ts->update_bar_offset_from_bbt (*meter);
+               recompute_map (false);
+       }
 
-               /* and insert it */
-               
-               do_insert (ts);
+       MetricPositionChanged (); // Emit Signal
+}
 
-               recompute_map (false);
+void
+TempoMap::add_tempo (const Tempo& tempo, double where, ARDOUR::TempoSection::Type type)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               add_tempo_locked (tempo, where, true, type);
        }
 
 
@@ -551,18 +819,29 @@ TempoMap::add_tempo (const Tempo& tempo, BBT_Time where)
 }
 
 void
-TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const BBT_Time& where)
+TempoMap::add_tempo_locked (const Tempo& tempo, double where, bool recompute, ARDOUR::TempoSection::Type type)
 {
-       const MeterSection& first (first_meter());
+       TempoSection* ts = new TempoSection (where, tempo.beats_per_minute(), tempo.note_type(), type);
 
-       if (ms.start() != first.start()) {
-               remove_meter (ms, false);
-               add_meter (meter, where);
-       } else {
-               {
-                       Glib::RWLock::WriterLock lm (lock);
+       do_insert (ts);
+
+       if (recompute) {
+               recompute_map (false);
+       }
+}
+
+void
+TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const BBT_Time& where)
+{
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               MeterSection& first (first_meter());
+               if (ms.beat() != first.beat()) {
+                       remove_meter_locked (ms);
+                       add_meter_locked (meter, bbt_to_beats_unlocked (where), where, true);
+               } else {
                        /* cannot move the first meter section */
-                       *((Meter*)&first) = meter;
+                       *static_cast<Meter*>(&first) = meter;
                        recompute_map (true);
                }
        }
@@ -571,31 +850,14 @@ TempoMap::replace_meter (const MeterSection& ms, const Meter& meter, const BBT_T
 }
 
 void
-TempoMap::add_meter (const Meter& meter, BBT_Time where)
+TempoMap::add_meter (const Meter& meter, double beat, BBT_Time where)
 {
        {
-               Glib::RWLock::WriterLock lm (lock);
-
-               /* a new meter always starts a new bar on the first beat. so
-                  round the start time appropriately. remember that
-                  `where' is based on the existing tempo map, not
-                  the result after we insert the new meter.
-
-               */
-
-               if (where.beats != 1) {
-                       where.beats = 1;
-                       where.bars++;
-               }
-
-               /* new meters *always* start on a beat. */
-               where.ticks = 0;
-               
-               do_insert (new MeterSection (where, meter.divisions_per_bar(), meter.note_divisor()));
-               recompute_map (true);
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               add_meter_locked (meter, beat, where, true);
        }
 
-       
+
 #ifndef NDEBUG
        if (DEBUG_ENABLED(DEBUG::TempoMap)) {
                dump (std::cerr);
@@ -606,19 +868,45 @@ TempoMap::add_meter (const Meter& meter, BBT_Time where)
 }
 
 void
-TempoMap::change_initial_tempo (double beats_per_minute, double note_type)
+TempoMap::add_meter_locked (const Meter& meter, double beat, BBT_Time where, bool recompute)
 {
-       Tempo newtempo (beats_per_minute, note_type);
-       TempoSection* t;
+       /* a new meter always starts a new bar on the first beat. so
+          round the start time appropriately. remember that
+          `where' is based on the existing tempo map, not
+          the result after we insert the new meter.
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
-                       { 
-                               Glib::RWLock::WriterLock lm (lock);
-                               *((Tempo*) t) = newtempo;
-                               recompute_map (false);
-                       }
-                       PropertyChanged (PropertyChange ());
+       */
+
+       if (where.beats != 1) {
+               where.beats = 1;
+               where.bars++;
+       }
+
+       /* new meters *always* start on a beat. */
+       where.ticks = 0;
+
+       do_insert (new MeterSection (beat, where, meter.divisions_per_bar(), meter.note_divisor()));
+
+       if (recompute) {
+               recompute_map (true);
+       }
+
+}
+
+void
+TempoMap::change_initial_tempo (double beats_per_minute, double note_type)
+{
+       Tempo newtempo (beats_per_minute, note_type);
+       TempoSection* t;
+
+       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       {
+                               Glib::Threads::RWLock::WriterLock lm (lock);
+                               *((Tempo*) t) = newtempo;
+                               recompute_map (false);
+                       }
+                       PropertyChanged (PropertyChange ());
                        break;
                }
        }
@@ -664,7 +952,7 @@ TempoMap::change_existing_tempo_at (framepos_t where, double beats_per_minute, d
        /* reset */
 
        {
-               Glib::RWLock::WriterLock lm (lock);
+               Glib::Threads::RWLock::WriterLock lm (lock);
                /* cannot move the first tempo section */
                *((Tempo*)prev) = newtempo;
                recompute_map (false);
@@ -685,7 +973,25 @@ TempoMap::first_meter () const
        }
 
        fatal << _("programming error: no tempo section in tempo map!") << endmsg;
-       /*NOTREACHED*/
+       abort(); /*NOTREACHED*/
+       return *m;
+}
+
+MeterSection&
+TempoMap::first_meter ()
+{
+       MeterSection *m = 0;
+
+       /* CALLER MUST HOLD LOCK */
+
+       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               if ((m = dynamic_cast<MeterSection *> (*i)) != 0) {
+                       return *m;
+               }
+       }
+
+       fatal << _("programming error: no tempo section in tempo map!") << endmsg;
+       abort(); /*NOTREACHED*/
        return *m;
 }
 
@@ -694,6 +1000,8 @@ TempoMap::first_tempo () const
 {
        const TempoSection *t = 0;
 
+       /* CALLER MUST HOLD LOCK */
+
        for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
                if ((t = dynamic_cast<const TempoSection *> (*i)) != 0) {
                        return *t;
@@ -701,40 +1009,24 @@ TempoMap::first_tempo () const
        }
 
        fatal << _("programming error: no tempo section in tempo map!") << endmsg;
-       /*NOTREACHED*/
+       abort(); /*NOTREACHED*/
        return *t;
 }
 
-void
-TempoMap::require_map_to (framepos_t pos)
+TempoSection&
+TempoMap::first_tempo ()
 {
-       Glib::RWLock::WriterLock lm (lock);
-
-       if (_map.empty() || _map.back().frame < pos) {
-               extend_map (pos);
-       }
-}
+       TempoSection *t = 0;
 
-void
-TempoMap::require_map_to (const BBT_Time& bbt)
-{
-       Glib::RWLock::WriterLock lm (lock);
-
-       /* since we have no idea where BBT is if its off the map, see the last
-        * point in the map is past BBT, and if not add an arbitrary amount of
-        * time until it is.
-        */
-
-       int additional_minutes = 1;
-       
-       while (1) {
-               if (!_map.empty() && _map.back().bar >= (bbt.bars + 1)) {
-                       break;
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               if ((t = dynamic_cast<TempoSection *> (*i)) != 0) {
+                       return *t;
                }
-               /* add some more distance, using bigger steps each time */
-               extend_map (_map.back().frame + (_frame_rate * 60 * additional_minutes));
-               additional_minutes *= 2;
        }
+
+       fatal << _("programming error: no tempo section in tempo map!") << endmsg;
+       abort(); /*NOTREACHED*/
+       return *t;
 }
 
 void
@@ -742,12 +1034,6 @@ TempoMap::recompute_map (bool reassign_tempo_bbt, framepos_t end)
 {
        /* CALLER MUST HOLD WRITE LOCK */
 
-       MeterSection* meter = 0;
-       TempoSection* tempo = 0;
-       double current_frame;
-       BBT_Time current;
-       Metrics::iterator next_metric;
-
        if (end < 0) {
 
                /* we will actually stop once we hit
@@ -755,409 +1041,343 @@ TempoMap::recompute_map (bool reassign_tempo_bbt, framepos_t end)
                */
                end = max_framepos;
 
-       } else {
-               if (!_map.empty ()) {
-                       /* never allow the map to be shortened */
-                       end = max (end, _map.back().frame);
-               }
        }
 
        DEBUG_TRACE (DEBUG::TempoMath, string_compose ("recomputing tempo map, zero to %1\n", end));
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-               MeterSection* ms;
-
-               if ((ms = dynamic_cast<MeterSection *> (*i)) != 0) {
-                       meter = ms;
-                       break;
-               }
+       if (end == 0) {
+               /* silly call from Session::process() during startup
+                */
+               return;
        }
 
-       for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
-               TempoSection* ts;
-
-               if ((ts = dynamic_cast<TempoSection *> (*i)) != 0) {
-                       tempo = ts;
-                       break;
-               }
-       }
+       Metrics::const_iterator i;
 
-       /* assumes that the first meter & tempo are at frame zero */
-       current_frame = 0;
-       meter->set_frame (0);
-       tempo->set_frame (0);
+       TempoSection* prev_ts = 0;
 
-       /* assumes that the first meter & tempo are at 1|1|0 */
-       current.bars = 1;
-       current.beats = 1;
-       current.ticks = 0;
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
 
-       if (reassign_tempo_bbt) {
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
 
-               MeterSection* rmeter = meter;
+                       if (prev_ts) {
+                               double const beats_relative_to_prev_ts = t->beat() - prev_ts->beat();
+                               double const ticks_relative_to_prev_ts = beats_relative_to_prev_ts * BBT_Time::ticks_per_beat;
 
-               DEBUG_TRACE (DEBUG::TempoMath, "\tUpdating tempo marks BBT time from bar offset\n");
+                               /* assume (falsely) that the target tempo is constant */
+                               double const t_fpb = t->frames_per_beat (_frame_rate);
+                               double const av_fpb = (prev_ts->frames_per_beat (_frame_rate) + t_fpb) / 2.0;
+                               /* this walk shouldn't be needed as given c, time a = log (Ta / T0) / c. what to do? */
+                               double length_estimate = beats_relative_to_prev_ts * av_fpb;
 
-               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+                               if (prev_ts->type() == TempoSection::Type::Constant) {
+                                       length_estimate = beats_relative_to_prev_ts * prev_ts->frames_per_beat (_frame_rate);
+                               }
 
-                       TempoSection* ts;
-                       MeterSection* ms;
-       
-                       if ((ts = dynamic_cast<TempoSection*>(*i)) != 0) {
+                               double const system_precision_at_target_tempo = (_frame_rate / t->ticks_per_minute()) * 1.5;
+                               double tick_error = system_precision_at_target_tempo + 1.0; // sorry for the wtf
 
-                               /* reassign the BBT time of this tempo section
-                                * based on its bar offset position.
-                                */
+                               while (fabs (tick_error) > system_precision_at_target_tempo) {
 
-                               ts->update_bbt_time_from_bar_offset (*rmeter);
+                                       double const actual_ticks = prev_ts->tick_at_frame (length_estimate, t->beats_per_minute(),
+                                                                                           (framepos_t) length_estimate, _frame_rate);
+                                       tick_error = ticks_relative_to_prev_ts - actual_ticks;
+                                       length_estimate += tick_error * (t->ticks_per_minute() / _frame_rate);
+                               }
 
-                       } else if ((ms = dynamic_cast<MeterSection*>(*i)) != 0) {
-                               rmeter = ms;
-                       } else {
-                               fatal << _("programming error: unhandled MetricSection type") << endmsg;
-                               /*NOTREACHED*/
+                               t->set_frame (length_estimate + prev_ts->frame());
                        }
+                       prev_ts = t;
                }
        }
 
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("start with meter = %1 tempo = %2\n", *((Meter*)meter), *((Tempo*)tempo)));
+       Metrics::const_iterator mi;
+       MeterSection* meter = 0;
 
-       next_metric = metrics.begin();
-       ++next_metric; // skip meter (or tempo)
-       ++next_metric; // skip tempo (or meter)
+       for (mi = metrics.begin(); mi != metrics.end(); ++mi) {
+               /* we can do this beacuse we have the tempo section frames set */
+               if ((meter = dynamic_cast<MeterSection*> (*mi)) != 0) {
+                       meter->set_frame (frame_at_tick (meter->beat() * BBT_Time::ticks_per_beat));
+               }
+       }
+}
 
-       _map.clear ();
 
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Add first bar at 1|1 @ %2\n", current.bars, current_frame));
-       _map.push_back (BBTPoint (*meter, *tempo,(framepos_t) llrint(current_frame), 1, 1));
+TempoMetric
+TempoMap::metric_at (framepos_t frame, Metrics::const_iterator* last) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       TempoMetric m (first_meter(), first_tempo());
 
-       if (end == 0) {
-               /* silly call from Session::process() during startup
-                */
-               return;
-       }
+       /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
+          at something, because we insert the default tempo and meter during
+          TempoMap construction.
 
-       _extend_map (tempo, meter, next_metric, current, current_frame, end);
-}
+          now see if we can find better candidates.
+       */
 
-void
-TempoMap::extend_map (framepos_t end)
-{
-       /* CALLER MUST HOLD WRITE LOCK */
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
 
-       if (_map.empty()) {
-               recompute_map (false, end);
-               return;
+               if ((*i)->frame() > frame) {
+                       break;
+               }
+
+               m.set_metric(*i);
+
+               if (last) {
+                       *last = i;
+               }
        }
 
-       BBTPointList::const_iterator i = _map.end();    
-       Metrics::iterator next_metric;
+       return m;
+}
+/* XX meters only */
+TempoMetric
+TempoMap::metric_at (BBT_Time bbt) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       TempoMetric m (first_meter(), first_tempo());
 
-       --i;
+       /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
+          at something, because we insert the default tempo and meter during
+          TempoMap construction.
 
-       BBT_Time last_metric_start;
+          now see if we can find better candidates.
+       */
 
-       if ((*i).tempo->frame() > (*i).meter->frame()) {
-               last_metric_start = (*i).tempo->start();
-       } else {
-               last_metric_start = (*i).meter->start();
-       }
+       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* mw;
+               if ((mw = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       BBT_Time section_start (mw->bbt());
 
-       /* find the metric immediately after the tempo + meter sections for the
-        * last point in the map 
-        */
+                       if (section_start.bars > bbt.bars || (section_start.bars == bbt.bars && section_start.beats > bbt.beats)) {
+                               break;
+                       }
 
-       for (next_metric = metrics.begin(); next_metric != metrics.end(); ++next_metric) {
-               if ((*next_metric)->start() > last_metric_start) {
-                       break;
+                       m.set_metric (*i);
                }
        }
 
-       /* we cast away const here because this is the one place where we need
-        * to actually modify the frame time of each metric section. 
-        */
-
-       _extend_map (const_cast<TempoSection*> ((*i).tempo), 
-                    const_cast<MeterSection*> ((*i).meter),
-                    next_metric, BBT_Time ((*i).bar, (*i).beat, 0), (*i).frame, end);
+       return m;
 }
 
 void
-TempoMap::_extend_map (TempoSection* tempo, MeterSection* meter, 
-                      Metrics::iterator next_metric,
-                      BBT_Time current, framepos_t current_frame, framepos_t end)
+TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
 {
-       /* CALLER MUST HOLD WRITE LOCK */
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       TempoSection* ts;
-       MeterSection* ms;
-       double divisions_per_bar;
-       double beat_frames;
-       framepos_t bar_start_frame;
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Extend map to %1 from %2 = %3\n", end, current, current_frame));
-
-       if (current.beats == 1) {
-               bar_start_frame = current_frame;
-       } else {
-               bar_start_frame = 0;
+       if (frame < 0) {
+               bbt.bars = 1;
+               bbt.beats = 1;
+               bbt.ticks = 0;
+               warning << string_compose (_("tempo map asked for BBT time at frame %1\n"), frame) << endmsg;
+               return;
        }
+       bbt = beats_to_bbt_unlocked (beat_at_frame (frame));
+}
 
-       divisions_per_bar = meter->divisions_per_bar ();
-       beat_frames = meter->frames_per_grid (*tempo,_frame_rate);
-
-       while (current_frame < end) {
-
-               current.beats++;
-               current_frame += beat_frames;
+double
+TempoMap::bbt_to_beats (Timecode::BBT_Time bbt)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return bbt_to_beats_unlocked (bbt);
+}
 
-               if (current.beats > meter->divisions_per_bar()) {
-                       current.bars++;
-                       current.beats = 1;
-               }
+double
+TempoMap::bbt_to_beats_unlocked (Timecode::BBT_Time bbt)
+{
+       /* CALLER HOLDS READ LOCK */
 
-               if (next_metric != metrics.end()) {
+       double accumulated_beats = 0.0;
+       double accumulated_bars = 0.0;
+       MeterSection* prev_ms = 0;
 
-                       /* no operator >= so invert operator < */
+       Metrics::const_iterator i;
 
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("now at %1 next metric @ %2\n", current, (*next_metric)->start()));
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m;
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
+                       double bars_to_m = 0.0;
+                       if (prev_ms) {
+                               bars_to_m = (m->beat() - prev_ms->beat()) / prev_ms->divisions_per_bar();
+                       }
+                       if ((bars_to_m + accumulated_bars) > (bbt.bars - 1)) {
+                               break;
+                       }
+                       if (prev_ms) {
+                               accumulated_beats += m->beat() - prev_ms->beat();
+                               accumulated_bars += bars_to_m;
+                       }
+                       prev_ms = m;
+               }
+       }
 
-                       if (!(current < (*next_metric)->start())) {
+       double const remaining_bars = (bbt.bars - 1) - accumulated_bars;
+       double const remaining_bars_in_beats = remaining_bars * prev_ms->divisions_per_bar();
+       double const ret = remaining_bars_in_beats + accumulated_beats + (bbt.beats - 1) + (bbt.ticks / BBT_Time::ticks_per_beat);
+       return ret;
+}
 
-                         set_metrics:
-                               if (((ts = dynamic_cast<TempoSection*> (*next_metric)) != 0)) {
+Timecode::BBT_Time
+TempoMap::beats_to_bbt (double beats)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       return beats_to_bbt_unlocked (beats);
+}
 
-                                       tempo = ts;
+Timecode::BBT_Time
+TempoMap::beats_to_bbt_unlocked (double beats)
+{
+       /* CALLER HOLDS READ LOCK */
 
-                                       /* new tempo section: if its on a beat,
-                                        * we don't have to do anything other
-                                        * than recompute various distances,
-                                        * done further below as we transition
-                                        * the next metric section.
-                                        *
-                                        * if its not on the beat, we have to
-                                        * compute the duration of the beat it
-                                        * is within, which will be different
-                                        * from the preceding following ones
-                                        * since it takes part of its duration
-                                        * from the preceding tempo and part 
-                                        * from this new tempo.
-                                        */
+       MeterSection* prev_ms = 0;
+       uint32_t accumulated_bars = 0;
 
-                                       if (tempo->start().ticks != 0) {
-                                               
-                                               double next_beat_frames = tempo->frames_per_beat (_frame_rate);                                 
-                                               
-                                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("bumped into non-beat-aligned tempo metric at %1 = %2, adjust next beat using %3\n",
-                                                                                              tempo->start(), current_frame, tempo->bar_offset()));
-                                               
-                                               /* back up to previous beat */
-                                               current_frame -= beat_frames;
-
-                                               /* set tempo section location
-                                                * based on offset from last
-                                                * bar start 
-                                                */
-                                               tempo->set_frame (bar_start_frame + 
-                                                                 llrint ((ts->bar_offset() * meter->divisions_per_bar() * beat_frames)));
-                                               
-                                               /* advance to the location of
-                                                * the new (adjusted) beat. do
-                                                * this by figuring out the
-                                                * offset within the beat that
-                                                * would have been there
-                                                * without the tempo
-                                                * change. then stretch the
-                                                * beat accordingly.
-                                                */
-
-                                               double offset_within_old_beat = (tempo->frame() - current_frame) / beat_frames;
-
-                                               current_frame += (offset_within_old_beat * beat_frames) + ((1.0 - offset_within_old_beat) * next_beat_frames);
-
-                                               /* next metric doesn't have to
-                                                * match this precisely to
-                                                * merit a reloop ...
-                                                */
-                                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Adjusted last beat to %1\n", current_frame));
-                                               
-                                       } else {
-                                               
-                                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("bumped into beat-aligned tempo metric at %1 = %2\n",
-                                                                                              tempo->start(), current_frame));
-                                               tempo->set_frame (current_frame);
-                                       }
+       Metrics::const_iterator i;
 
-                               } else if ((ms = dynamic_cast<MeterSection*>(*next_metric)) != 0) {
-                                       
-                                       meter = ms;
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               MeterSection* m = 0;
 
-                                       /* new meter section: always defines the
-                                        * start of a bar.
-                                        */
-                                       
-                                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("bumped into meter section at %1 vs %2 (%3)\n",
-                                                                                      meter->start(), current, current_frame));
-                                       
-                                       assert (current.beats == 1);
+               if ((m = dynamic_cast<MeterSection*> (*i)) != 0) {
 
-                                       meter->set_frame (current_frame);
-                               }
-                               
-                               divisions_per_bar = meter->divisions_per_bar ();
-                               beat_frames = meter->frames_per_grid (*tempo, _frame_rate);
-                               
-                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("New metric with beat frames = %1 dpb %2 meter %3 tempo %4\n", 
-                                                                              beat_frames, divisions_per_bar, *((Meter*)meter), *((Tempo*)tempo)));
-                       
-                               ++next_metric;
-
-                               if (next_metric != metrics.end() && ((*next_metric)->start() == current)) {
-                                       /* same position so go back and set this one up before advancing
-                                       */
-                                       goto set_metrics;
-                               }
+                       if (beats < m->beat()) {
+                               /* this is the meter after the one our beat is on*/
+                               break;
                        }
-               } 
-
-               if (current.beats == 1) {
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Add Bar at %1|1 @ %2\n", current.bars, current_frame));
-                       _map.push_back (BBTPoint (*meter, *tempo,(framepos_t) llrint(current_frame), current.bars, 1));
-                       bar_start_frame = current_frame;
-               } else {
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("Add Beat at %1|%2 @ %3\n", current.bars, current.beats, current_frame));
-                       _map.push_back (BBTPoint (*meter, *tempo, (framepos_t) llrint(current_frame), current.bars, current.beats));
-               }
 
-               if (next_metric == metrics.end()) {
-                       /* no more metrics - we've timestamped them all, stop here */
-                       if (end == max_framepos) {
-                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("stop extending map now that we've reach the end @ %1|%2 = %3\n",
-                                                                              current.bars, current.beats, current_frame));
-                               break;
+                       if (prev_ms) {
+                               /* we need a whole number of bars. */
+                               accumulated_bars += ((m->beat() - prev_ms->beat()) + 1) / prev_ms->divisions_per_bar();
                        }
+
+                       prev_ms = m;
                }
        }
-}
 
-TempoMetric
-TempoMap::metric_at (framepos_t frame) const
-{
-       Glib::RWLock::ReaderLock lm (lock);
-       TempoMetric m (first_meter(), first_tempo());
-       const Meter* meter;
-       const Tempo* tempo;
+       double const beats_in_ms = beats - prev_ms->beat();
+       uint32_t const bars_in_ms = (uint32_t) floor (beats_in_ms / prev_ms->divisions_per_bar());
+       uint32_t const total_bars = bars_in_ms + accumulated_bars;
+       double const remaining_beats = beats_in_ms - (bars_in_ms * prev_ms->divisions_per_bar());
+       double const remaining_ticks = (remaining_beats - floor (remaining_beats)) * BBT_Time::ticks_per_beat;
 
-       /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
-          at something, because we insert the default tempo and meter during
-          TempoMap construction.
-
-          now see if we can find better candidates.
-       */
+       BBT_Time ret;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+       ret.ticks = (uint32_t) floor (remaining_ticks + 0.5);
+       ret.beats = (uint32_t) floor (remaining_beats);
+       ret.bars = total_bars;
 
-               if ((*i)->frame() > frame) {
-                       break;
-               }
+       /* 0 0 0 to 1 1 0 - based mapping*/
+       ++ret.bars;
+       ++ret.beats;
 
-               if ((tempo = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                       m.set_tempo (*tempo);
-               } else if ((meter = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                       m.set_meter (*meter);
-               }
+       if (ret.ticks >= BBT_Time::ticks_per_beat) {
+               ++ret.beats;
+               ret.ticks -= BBT_Time::ticks_per_beat;
+       }
 
-               m.set_frame ((*i)->frame ());
-               m.set_start ((*i)->start ());
+       if (ret.beats > prev_ms->divisions_per_bar()) {
+               ++ret.bars;
+               ret.beats = 1;
        }
-       
-       return m;
+
+       return ret;
 }
 
-TempoMetric
-TempoMap::metric_at (BBT_Time bbt) const
+double
+TempoMap::tick_at_frame (framecnt_t frame) const
 {
-       Glib::RWLock::ReaderLock lm (lock);
-       TempoMetric m (first_meter(), first_tempo());
-       const Meter* meter;
-       const Tempo* tempo;
+       /* HOLD (at least) THE READER LOCK */
 
-       /* at this point, we are *guaranteed* to have m.meter and m.tempo pointing
-          at something, because we insert the default tempo and meter during
-          TempoMap construction.
+       Metrics::const_iterator i;
+       TempoSection* prev_ts = 0;
+       double accumulated_ticks = 0.0;
 
-          now see if we can find better candidates.
-       */
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
 
-       for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
 
-               BBT_Time section_start ((*i)->start());
+                       if ((prev_ts) && frame < t->frame()) {
+                               /*the previous ts is the one containing the frame */
 
-               if (section_start.bars > bbt.bars || (section_start.bars == bbt.bars && section_start.beats > bbt.beats)) {
-                       break;
-               }
+                               framepos_t const time = frame - prev_ts->frame();
+                               framepos_t const last_frame = t->frame() - prev_ts->frame();
+                               double const last_beats_per_minute = t->beats_per_minute();
 
-               if ((tempo = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                       m.set_tempo (*tempo);
-               } else if ((meter = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                       m.set_meter (*meter);
-               }
+                               return prev_ts->tick_at_frame (time, last_beats_per_minute, last_frame, _frame_rate) + accumulated_ticks;
+                       }
 
-               m.set_frame ((*i)->frame ());
-               m.set_start (section_start);
+                       if (prev_ts && t->frame() > prev_ts->frame()) {
+                               accumulated_ticks = t->beat() * BBT_Time::ticks_per_beat;
+                       }
+
+                       prev_ts = t;
+               }
        }
 
-       return m;
+       /* treated as constant for this ts */
+       framecnt_t const frames_in_section = frame - prev_ts->frame();
+       double const ticks_in_section = (frames_in_section / prev_ts->frames_per_beat (_frame_rate)) * Timecode::BBT_Time::ticks_per_beat;
+
+       return ticks_in_section + accumulated_ticks;
+
 }
 
-void
-TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt)
+framecnt_t
+TempoMap::frame_at_tick (double tick) const
 {
-       require_map_to (frame);
+       /* HOLD THE READER LOCK */
 
-       Glib::RWLock::ReaderLock lm (lock);
+       double accumulated_ticks = 0.0;
+       double accumulated_ticks_to_prev = 0.0;
+       const TempoSection* prev_ts = 0;
 
-       if (frame < 0) {
-               bbt.bars = 1;
-               bbt.beats = 1;
-               bbt.ticks = 0;
-               warning << string_compose (_("tempo map asked for BBT time at frame %1\n"), frame) << endmsg;
-               return;
-       }
+       Metrics::const_iterator i;
 
-       return bbt_time (frame, bbt, bbt_before_or_at (frame));
-}
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
 
-void
-TempoMap::bbt_time_rt (framepos_t frame, BBT_Time& bbt)
-{
-       Glib::RWLock::ReaderLock lm (lock, Glib::TRY_LOCK);
+                       if (prev_ts && t->frame() > prev_ts->frame()) {
+                               accumulated_ticks = t->beat() * BBT_Time::ticks_per_beat;
+                       }
 
-       if (!lm.locked()) {
-               throw std::logic_error ("TempoMap::bbt_time_rt() could not lock tempo map");
-       }
-       
-       if (_map.empty() || _map.back().frame < frame) {
-               throw std::logic_error (string_compose ("map not long enough to reach %1", frame));
+                       if (prev_ts && tick < accumulated_ticks) {
+                               /* prev_ts is the one affecting us. */
+
+                               double const ticks_in_section = tick - accumulated_ticks_to_prev;
+                               framepos_t const last_time = t->frame() - prev_ts->frame();
+                               double const last_beats_per_minute = t->beats_per_minute();
+
+                               return prev_ts->frame_at_tick (ticks_in_section, last_beats_per_minute, last_time, _frame_rate) + prev_ts->frame();
+                       }
+                       accumulated_ticks_to_prev = accumulated_ticks;
+                       prev_ts = t;
+               }
        }
+       /* must be treated as constant, irrespective of _type */
+       double const ticks_in_section = tick - accumulated_ticks_to_prev;
+       double const dtime = (ticks_in_section / BBT_Time::ticks_per_beat) * prev_ts->frames_per_beat (_frame_rate);
 
-       return bbt_time (frame, bbt, bbt_before_or_at (frame));
+       framecnt_t const ret = ((framecnt_t) floor (dtime)) + prev_ts->frame();
+
+       return ret;
 }
 
-void
-TempoMap::bbt_time (framepos_t frame, BBT_Time& bbt, const BBTPointList::const_iterator& i)
+double
+TempoMap::beat_at_frame (framecnt_t frame) const
 {
-       /* CALLER MUST HOLD READ LOCK */
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       bbt.bars = (*i).bar;
-       bbt.beats = (*i).beat;
+       return tick_at_frame (frame) / BBT_Time::ticks_per_beat;
+}
 
-       if ((*i).frame == frame) {
-               bbt.ticks = 0;
-       } else {
-               bbt.ticks = llrint (((frame - (*i).frame) / (*i).tempo->frames_per_beat(_frame_rate)) *
-                                   BBT_Time::ticks_per_beat);
-       }
+framecnt_t
+TempoMap::frame_at_beat (double beat) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+
+       return frame_at_tick (beat * BBT_Time::ticks_per_beat);
 }
 
 framepos_t
@@ -1167,388 +1387,339 @@ TempoMap::frame_time (const BBT_Time& bbt)
                warning << string_compose (_("tempo map asked for frame time at bar < 1  (%1)\n"), bbt) << endmsg;
                return 0;
        }
-       
+
        if (bbt.beats < 1) {
                throw std::logic_error ("beats are counted from one");
        }
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       require_map_to (bbt);
-
-       Glib::RWLock::ReaderLock lm (lock);
+       framepos_t const ret = frame_at_beat (bbt_to_beats_unlocked (bbt));
 
-       BBTPointList::const_iterator s = bbt_before_or_at (BBT_Time (1, 1, 0));
-       BBTPointList::const_iterator e = bbt_before_or_at (BBT_Time (bbt.bars, bbt.beats, 0));
-
-       if (bbt.ticks != 0) {
-               return ((*e).frame - (*s).frame) + 
-                       llrint ((*e).tempo->frames_per_beat (_frame_rate) * (bbt.ticks/BBT_Time::ticks_per_beat));
-       } else {
-               return ((*e).frame - (*s).frame);
-       }
+       return ret;
 }
 
+
 framecnt_t
 TempoMap::bbt_duration_at (framepos_t pos, const BBT_Time& bbt, int dir)
 {
-       Glib::RWLock::ReaderLock lm (lock);
-       framecnt_t frames = 0;
-       BBT_Time when;
-
-       bbt_time (pos, when);
-       frames = bbt_duration_at_unlocked (when, bbt,dir);
 
-       return frames;
-}
-
-framecnt_t
-TempoMap::bbt_duration_at_unlocked (const BBT_Time& when, const BBT_Time& bbt, int dir) 
-{
-       if (bbt.bars == 0 && bbt.beats == 0 && bbt.ticks == 0) {
-               return 0;
-       }
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       /* round back to the previous precise beat */
-       BBTPointList::const_iterator wi = bbt_before_or_at (BBT_Time (when.bars, when.beats, 0));
-       BBTPointList::const_iterator start (wi);
-       double tick_frames = 0;
+       Metrics::const_iterator i;
+       TempoSection* first = 0;
+       TempoSection* second = 0;
 
-       assert (wi != _map.end());
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
 
-       /* compute how much rounding we did because of non-zero ticks */
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
 
-       if (when.ticks != 0) {
-               tick_frames = (*wi).tempo->frames_per_beat (_frame_rate) * (when.ticks/BBT_Time::ticks_per_beat);
-       }
-       
-       uint32_t bars = 0;
-       uint32_t beats = 0;
+                       if ((*i)->frame() > pos) {
+                               second = t;
+                               break;
+                       }
 
-       while (wi != _map.end() && bars < bbt.bars) {
-               ++wi;
-               if ((*wi).is_bar()) {
-                       ++bars;
+                       first = t;
                }
        }
-       assert (wi != _map.end());
+       if (first && second) {
+               framepos_t const last_time = second->frame() - first->frame();
+               double const last_beats_per_minute = second->beats_per_minute();
 
-       while (wi != _map.end() && beats < bbt.beats) {
-               ++wi;
-               ++beats;
-       }
-       assert (wi != _map.end());
+               framepos_t const time = pos - first->frame();
+               double const tick_at_time = first->tick_at_frame (time, last_beats_per_minute, last_time, _frame_rate);
+               double const bbt_ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
 
-       /* add any additional frames related to ticks in the added value */
+               double const time_at_bbt = first->frame_at_tick (tick_at_time + bbt_ticks, last_beats_per_minute, last_time, _frame_rate);
 
-       if (bbt.ticks != 0) {
-               tick_frames += (*wi).tempo->frames_per_beat (_frame_rate) * (bbt.ticks/BBT_Time::ticks_per_beat);
+               return time_at_bbt - time;
        }
 
-       return ((*wi).frame - (*start).frame) + llrint (tick_frames);
+       double const ticks = bbt.ticks + (bbt.beats * BBT_Time::ticks_per_beat);
+       return (framecnt_t) floor ((ticks / BBT_Time::ticks_per_beat) * first->frames_per_beat(_frame_rate));
 }
 
 framepos_t
-TempoMap::round_to_bar (framepos_t fr, int dir)
+TempoMap::round_to_bar (framepos_t fr, RoundMode dir)
 {
        return round_to_type (fr, dir, Bar);
 }
 
 framepos_t
-TempoMap::round_to_beat (framepos_t fr, int dir)
+TempoMap::round_to_beat (framepos_t fr, RoundMode dir)
 {
        return round_to_type (fr, dir, Beat);
 }
 
 framepos_t
-TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, int dir)
+TempoMap::round_to_beat_subdivision (framepos_t fr, int sub_num, RoundMode dir)
 {
-       require_map_to (fr);
-
-       Glib::RWLock::ReaderLock lm (lock);
-       BBTPointList::const_iterator i = bbt_before_or_at (fr);
-       BBT_Time the_beat;
-       uint32_t ticks_one_subdivisions_worth;
-       uint32_t difference;
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       bbt_time (fr, the_beat, i);
+       uint32_t ticks = (uint32_t) floor (tick_at_frame (fr) + 0.5);
+       uint32_t beats = (uint32_t) floor (ticks / BBT_Time::ticks_per_beat);
+       uint32_t ticks_one_subdivisions_worth = (uint32_t)BBT_Time::ticks_per_beat / sub_num;
 
-       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("round %1 to nearest 1/%2 beat, before-or-at = %3 @ %4|%5 precise = %6\n",
-                                                    fr, sub_num, (*i).frame, (*i).bar, (*i).beat, the_beat));
-
-       ticks_one_subdivisions_worth = (uint32_t)BBT_Time::ticks_per_beat / sub_num;
+       ticks -= beats * BBT_Time::ticks_per_beat;
 
        if (dir > 0) {
+               /* round to next (or same iff dir == RoundUpMaybe) */
 
-               /* round to next (even if we're on a subdivision */
+               uint32_t mod = ticks % ticks_one_subdivisions_worth;
 
-               uint32_t mod = the_beat.ticks % ticks_one_subdivisions_worth;
+               if (mod == 0 && dir == RoundUpMaybe) {
+                       /* right on the subdivision, which is fine, so do nothing */
 
-               if (mod == 0) {
+               } else if (mod == 0) {
                        /* right on the subdivision, so the difference is just the subdivision ticks */
-                       the_beat.ticks += ticks_one_subdivisions_worth;
+                       ticks += ticks_one_subdivisions_worth;
 
                } else {
                        /* not on subdivision, compute distance to next subdivision */
 
-                       the_beat.ticks += ticks_one_subdivisions_worth - mod;
+                       ticks += ticks_one_subdivisions_worth - mod;
                }
 
-               if (the_beat.ticks > BBT_Time::ticks_per_beat) {
-                       assert (i != _map.end());
-                       ++i;
-                       assert (i != _map.end());
-                       the_beat.ticks -= BBT_Time::ticks_per_beat;
-               } 
-
-
+               if (ticks >= BBT_Time::ticks_per_beat) {
+                       ticks -= BBT_Time::ticks_per_beat;
+               }
        } else if (dir < 0) {
 
-               /* round to previous (even if we're on a subdivision) */
+               /* round to previous (or same iff dir == RoundDownMaybe) */
 
-               uint32_t mod = the_beat.ticks % ticks_one_subdivisions_worth;
+               uint32_t difference = ticks % ticks_one_subdivisions_worth;
 
-               if (mod == 0) {
-                       /* right on the subdivision, so the difference is just the subdivision ticks */
+               if (difference == 0 && dir == RoundDownAlways) {
+                       /* right on the subdivision, but force-rounding down,
+                          so the difference is just the subdivision ticks */
                        difference = ticks_one_subdivisions_worth;
-               } else {
-                       /* not on subdivision, compute distance to previous subdivision, which
-                          is just the modulus.
-                       */
-
-                       difference = mod;
                }
 
-               if (the_beat.ticks < difference) {
-                       if (i == _map.begin()) {
-                               /* can't go backwards from wherever pos is, so just return it */
-                               return fr;
-                       }
-                       --i;
-                       the_beat.ticks = BBT_Time::ticks_per_beat - the_beat.ticks;
+               if (ticks < difference) {
+                       ticks = BBT_Time::ticks_per_beat - ticks;
                } else {
-                       the_beat.ticks -= difference;
+                       ticks -= difference;
                }
 
        } else {
                /* round to nearest */
-
                double rem;
 
                /* compute the distance to the previous and next subdivision */
-               
-               if ((rem = fmod ((double) the_beat.ticks, (double) ticks_one_subdivisions_worth)) > ticks_one_subdivisions_worth/2.0) {
-                       
+
+               if ((rem = fmod ((double) ticks, (double) ticks_one_subdivisions_worth)) > ticks_one_subdivisions_worth/2.0) {
+
                        /* closer to the next subdivision, so shift forward */
 
-                       the_beat.ticks = lrint (the_beat.ticks + (ticks_one_subdivisions_worth - rem));
+                       ticks = lrint (ticks + (ticks_one_subdivisions_worth - rem));
 
-                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved forward to %1\n", the_beat.ticks));
+                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved forward to %1\n", ticks));
 
-                       if (the_beat.ticks > BBT_Time::ticks_per_beat) {
-                               assert (i != _map.end());
-                               ++i;
-                               assert (i != _map.end());
-                               the_beat.ticks -= BBT_Time::ticks_per_beat;
-                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("fold beat to %1\n", the_beat));
-                       } 
+                       if (ticks > BBT_Time::ticks_per_beat) {
+                               ++beats;
+                               ticks -= BBT_Time::ticks_per_beat;
+                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("fold beat to %1\n", beats));
+                       }
 
                } else if (rem > 0) {
-                       
+
                        /* closer to previous subdivision, so shift backward */
 
-                       if (rem > the_beat.ticks) {
-                               if (i == _map.begin()) {
+                       if (rem > ticks) {
+                               if (beats == 0) {
                                        /* can't go backwards past zero, so ... */
                                        return 0;
                                }
                                /* step back to previous beat */
-                               --i;
-                               the_beat.ticks = lrint (BBT_Time::ticks_per_beat - rem);
-                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("step back beat to %1\n", the_beat));
+                               --beats;
+                               ticks = lrint (BBT_Time::ticks_per_beat - rem);
+                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("step back beat to %1\n", beats));
                        } else {
-                               the_beat.ticks = lrint (the_beat.ticks - rem);
-                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved backward to %1\n", the_beat.ticks));
+                               ticks = lrint (ticks - rem);
+                               DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("moved backward to %1\n", ticks));
                        }
                } else {
                        /* on the subdivision, do nothing */
                }
        }
-
-       return (*i).frame + (the_beat.ticks/BBT_Time::ticks_per_beat) * 
-               (*i).tempo->frames_per_beat (_frame_rate);
+       return frame_at_tick ((beats * BBT_Time::ticks_per_beat) + ticks);
 }
 
 framepos_t
-TempoMap::round_to_type (framepos_t frame, int dir, BBTPointType type)
+TempoMap::round_to_type (framepos_t frame, RoundMode dir, BBTPointType type)
 {
-       require_map_to (frame);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-       Glib::RWLock::ReaderLock lm (lock);
-       BBTPointList::const_iterator fi;
+       double const beat_at_framepos = beat_at_frame (frame);
 
-       if (dir > 0) {
-               fi = bbt_after_or_at (frame);
-       } else {
-               fi = bbt_before_or_at (frame);
-       }
-
-       assert (fi != _map.end());
+       BBT_Time bbt (beats_to_bbt_unlocked (beat_at_framepos));
 
-       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("round from %1 (%3|%4 @ %5) to %6 in direction %2\n", frame, dir, (*fi).bar, (*fi).beat, (*fi).frame,
-                                                    (type == Bar ? "bar" : "beat")));
-               
        switch (type) {
        case Bar:
                if (dir < 0) {
                        /* find bar previous to 'frame' */
+                       bbt.beats = 1;
+                       bbt.ticks = 0;
+                       return frame_time (bbt);
 
-                       if (fi == _map.begin()) {
-                               return 0;
-                       }
-
-                       if ((*fi).is_bar() && (*fi).frame == frame) {
-                               --fi;
+               } else if (dir > 0) {
+                       /* find bar following 'frame' */
+                       ++bbt.bars;
+                       bbt.beats = 1;
+                       bbt.ticks = 0;
+                       return frame_time (bbt);
+               } else {
+                       /* true rounding: find nearest bar */
+                       framepos_t raw_ft = frame_time (bbt);
+                       bbt.beats = 1;
+                       bbt.ticks = 0;
+                       framepos_t prev_ft = frame_time (bbt);
+                       ++bbt.bars;
+                       framepos_t next_ft = frame_time (bbt);
+
+                       if ((raw_ft - prev_ft) > (next_ft - prev_ft) / 2) { 
+                               return next_ft;
+                       } else {
+                               return prev_ft;
                        }
+               }
 
-                       while (!(*fi).is_bar()) {
-                               if (fi == _map.begin()) {
-                                       break;
-                               }
-                               fi--;
-                       }
-                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("rounded to bar: map iter at %1|%2 %3, return\n", 
-                                                                    (*fi).bar, (*fi).beat, (*fi).frame));
-                       return (*fi).frame;
+               break;
 
+       case Beat:
+               if (dir < 0) {
+                       return frame_at_beat (floor (beat_at_framepos));
                } else if (dir > 0) {
+                       return frame_at_beat (ceil (beat_at_framepos));
+               } else {
+                       return frame_at_beat (floor (beat_at_framepos + 0.5));
+               }
+               break;
+       }
 
-                       /* find bar following 'frame' */
+       return 0;
+}
 
-                       if ((*fi).is_bar() && (*fi).frame == frame) {
-                               ++fi;
-                       }
+void
+TempoMap::get_grid (vector<TempoMap::BBTPoint>& points,
+                   framepos_t lower, framepos_t upper)
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+       uint32_t const upper_beat = (uint32_t) floor (beat_at_frame (upper));
+       uint32_t cnt = (uint32_t) ceil (beat_at_frame (lower));
 
-                       while (!(*fi).is_bar()) {
-                               fi++;
-                               if (fi == _map.end()) {
-                                       --fi;
-                                       break;
-                               }
-                       }
+       while (cnt <= upper_beat) {
+               framecnt_t const pos = frame_at_beat (cnt);
+               MeterSection const meter = meter_section_at (pos);
+               Tempo const tempo = tempo_at (pos);
+               BBT_Time const bbt = beats_to_bbt_unlocked ((double) cnt);
 
-                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("rounded to bar: map iter at %1|%2 %3, return\n", 
-                                                                    (*fi).bar, (*fi).beat, (*fi).frame));
-                       return (*fi).frame;
+               points.push_back (BBTPoint (meter, tempo, pos, bbt.bars, bbt.beats));
+               ++cnt;
+       }
+}
 
-               } else {
-                       
-                       /* true rounding: find nearest bar */
+const TempoSection&
+TempoMap::tempo_section_at (framepos_t frame) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-                       BBTPointList::const_iterator prev = fi;
-                       BBTPointList::const_iterator next = fi;
+       Metrics::const_iterator i;
+       TempoSection* prev = 0;
 
-                       if ((*fi).frame == frame) {
-                               return frame;
-                       }
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
 
-                       while ((*prev).beat != 1) {
-                               if (prev == _map.begin()) {
-                                       break;
-                               }
-                               prev--;
-                       }
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
 
-                       while ((next != _map.end()) && (*next).beat != 1) {
-                               next++;
+                       if ((*i)->frame() > frame) {
+                               break;
                        }
 
-                       if ((next == _map.end()) || (frame - (*prev).frame) < ((*next).frame - frame)) {
-                               return (*prev).frame;
-                       } else {
-                               return (*next).frame;
-                       }
-                       
+                       prev = t;
                }
+       }
 
-               break;
+       if (prev == 0) {
+               fatal << endmsg;
+               abort(); /*NOTREACHED*/
+       }
 
-       case Beat:
-               if (dir < 0) {
+       return *prev;
+}
 
-                       if (fi == _map.begin()) {
-                               return 0;
-                       }
+/* don't use this to calculate length (the tempo is only correct for this frame).
+   do that stuff based on the beat_at_frame and frame_at_beat api
+*/
+double
+TempoMap::frames_per_beat_at (framepos_t frame, framecnt_t sr) const
+{
+       Glib::Threads::RWLock::ReaderLock lm (lock);
 
-                       if ((*fi).frame >= frame) {
-                               DEBUG_TRACE (DEBUG::SnapBBT, "requested frame is on beat, step back\n");
-                               --fi;
-                       }
-                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("rounded to beat: map iter at %1|%2 %3, return\n", 
-                                                                    (*fi).bar, (*fi).beat, (*fi).frame));
-                       return (*fi).frame;
-               } else if (dir > 0) {
-                       if ((*fi).frame <= frame) {
-                               DEBUG_TRACE (DEBUG::SnapBBT, "requested frame is on beat, step forward\n");
-                               ++fi;
-                       }
-                       DEBUG_TRACE (DEBUG::SnapBBT, string_compose ("rounded to beat: map iter at %1|%2 %3, return\n", 
-                                                                    (*fi).bar, (*fi).beat, (*fi).frame));
-                       return (*fi).frame;
-               } else {
-                       /* find beat nearest to frame */
-                       if ((*fi).frame == frame) {
-                               return frame;
-                       }
+       const TempoSection* ts_at = &tempo_section_at (frame);
+       const TempoSection* ts_after = 0;
+       Metrics::const_iterator i;
 
-                       BBTPointList::const_iterator prev = fi;
-                       BBTPointList::const_iterator next = fi;
-
-                       /* fi is already the beat before_or_at frame, and
-                          we've just established that its not at frame, so its
-                          the beat before frame.
-                       */
-                       ++next;
-                       
-                       if ((next == _map.end()) || (frame - (*prev).frame) < ((*next).frame - frame)) {
-                               return (*prev).frame;
-                       } else {
-                               return (*next).frame;
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+
+                       if ((*i)->frame() > frame) {
+                               ts_after = t;
+                               break;
                        }
                }
-               break;
        }
 
-       /* NOTREACHED */
-       assert (false);
-       return 0;
+       if (ts_after) {
+               return  (60.0 * _frame_rate) / (ts_at->tempo_at_frame (frame - ts_at->frame(), ts_after->beats_per_minute(), ts_after->frame(), _frame_rate));
+       }
+       /* must be treated as constant tempo */
+       return ts_at->frames_per_beat (_frame_rate);
 }
 
-void
-TempoMap::get_grid (TempoMap::BBTPointList::const_iterator& begin, 
-                   TempoMap::BBTPointList::const_iterator& end, 
-                   framepos_t lower, framepos_t upper) 
+const Tempo
+TempoMap::tempo_at (framepos_t frame) const
 {
-       { 
-               Glib::RWLock::WriterLock lm (lock);
-               if (_map.empty() || (_map.back().frame < upper)) {
-                       recompute_map (false, upper);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+
+       TempoMetric m (metric_at (frame));
+       TempoSection* prev_ts = 0;
+
+       Metrics::const_iterator i;
+
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               TempoSection* t;
+               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+                       if ((prev_ts) && t->frame() > frame) {
+                               /* this is the one past frame */
+                               framepos_t const time = frame - prev_ts->frame();
+                               framepos_t const last_time = t->frame() - prev_ts->frame();
+                               double const last_beats_per_minute = t->beats_per_minute();
+                               double const ret = prev_ts->tempo_at_frame (time, last_beats_per_minute, last_time, _frame_rate);
+                               Tempo const ret_tempo (ret, m.tempo().note_type ());
+                               return ret_tempo;
+                       }
+                       prev_ts = t;
                }
        }
 
-       begin = lower_bound (_map.begin(), _map.end(), lower);
-       end = upper_bound (_map.begin(), _map.end(), upper);
+       return m.tempo();
+
 }
 
-const TempoSection&
-TempoMap::tempo_section_at (framepos_t frame) const
+const MeterSection&
+TempoMap::meter_section_at (framepos_t frame) const
 {
-       Glib::RWLock::ReaderLock lm (lock);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
        Metrics::const_iterator i;
-       TempoSection* prev = 0;
+       MeterSection* prev = 0;
 
        for (i = metrics.begin(); i != metrics.end(); ++i) {
-               TempoSection* t;
+               MeterSection* t;
 
-               if ((t = dynamic_cast<TempoSection*> (*i)) != 0) {
+               if ((t = dynamic_cast<MeterSection*> (*i)) != 0) {
 
                        if ((*i)->frame() > frame) {
                                break;
@@ -1560,19 +1731,12 @@ TempoMap::tempo_section_at (framepos_t frame) const
 
        if (prev == 0) {
                fatal << endmsg;
+               abort(); /*NOTREACHED*/
        }
 
        return *prev;
 }
 
-const Tempo&
-TempoMap::tempo_at (framepos_t frame) const
-{
-       TempoMetric m (metric_at (frame));
-       return m.tempo();
-}
-
-
 const Meter&
 TempoMap::meter_at (framepos_t frame) const
 {
@@ -1587,7 +1751,7 @@ TempoMap::get_state ()
        XMLNode *root = new XMLNode ("TempoMap");
 
        {
-               Glib::RWLock::ReaderLock lm (lock);
+               Glib::Threads::RWLock::ReaderLock lm (lock);
                for (i = metrics.begin(); i != metrics.end(); ++i) {
                        root->add_child_nocopy ((*i)->get_state());
                }
@@ -1600,7 +1764,7 @@ int
 TempoMap::set_state (const XMLNode& node, int /*version*/)
 {
        {
-               Glib::RWLock::WriterLock lm (lock);
+               Glib::Threads::RWLock::WriterLock lm (lock);
 
                XMLNodeList nlist;
                XMLNodeConstIterator niter;
@@ -1609,7 +1773,7 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
                metrics.clear();
 
                nlist = node.children();
-               
+
                for (niter = nlist.begin(); niter != nlist.end(); ++niter) {
                        XMLNode* child = *niter;
 
@@ -1621,8 +1785,8 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 
                                        if (ts->bar_offset() < 0.0) {
                                                if (last_meter) {
-                                                       ts->update_bar_offset_from_bbt (*last_meter);
-                                               } 
+                                                       //ts->update_bar_offset_from_bbt (*last_meter);
+                                               }
                                        }
                                }
 
@@ -1652,6 +1816,51 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
                        MetricSectionSorter cmp;
                        metrics.sort (cmp);
                }
+               /* check for legacy sessions where bbt was the base musical unit for tempo */
+               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+                       MeterSection* prev_ms;
+                       TempoSection* prev_ts;
+                       if ((prev_ms = dynamic_cast<MeterSection*>(*i)) != 0) {
+                               if (prev_ms->beat() < 0.0) {
+                                       /*XX we cannot possibly make this work??. */
+                                       pair<double, BBT_Time> start = make_pair (((prev_ms->bbt().bars - 1) * 4.0) + (prev_ms->bbt().beats - 1) + (prev_ms->bbt().ticks / BBT_Time::ticks_per_beat), prev_ms->bbt());
+                                       prev_ms->set_beat (start);
+                               }
+                       } else if ((prev_ts = dynamic_cast<TempoSection*>(*i)) != 0) {
+                               if (prev_ts->beat() < 0.0) {
+                                       double const start = ((prev_ts->legacy_bbt().bars - 1) * 4.0) + (prev_ts->legacy_bbt().beats - 1) + (prev_ts->legacy_bbt().ticks / BBT_Time::ticks_per_beat);
+                                       prev_ts->set_beat (start);
+
+                               }
+                       }
+               }
+               /* check for multiple tempo/meters at the same location, which
+                  ardour2 somehow allowed.
+               */
+
+               Metrics::iterator prev = metrics.end();
+               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+                       if (prev != metrics.end()) {
+                               MeterSection* ms;
+                               MeterSection* prev_ms;
+                               TempoSection* ts;
+                               TempoSection* prev_ts;
+                               if ((prev_ms = dynamic_cast<MeterSection*>(*prev)) != 0 && (ms = dynamic_cast<MeterSection*>(*i)) != 0) {
+                                       if (prev_ms->beat() == ms->beat()) {
+                                               cerr << string_compose (_("Multiple meter definitions found at %1"), prev_ms->beat()) << endmsg;
+                                               error << string_compose (_("Multiple meter definitions found at %1"), prev_ms->beat()) << endmsg;
+                                               return -1;
+                                       }
+                               } else if ((prev_ts = dynamic_cast<TempoSection*>(*prev)) != 0 && (ts = dynamic_cast<TempoSection*>(*i)) != 0) {
+                                       if (prev_ts->beat() == ts->beat()) {
+                                               cerr << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->beat()) << endmsg;
+                                               error << string_compose (_("Multiple tempo definitions found at %1"), prev_ts->beat()) << endmsg;
+                                               return -1;
+                                       }
+                               }
+                       }
+                       prev = i;
+               }
 
                recompute_map (true, -1);
        }
@@ -1664,17 +1873,17 @@ TempoMap::set_state (const XMLNode& node, int /*version*/)
 void
 TempoMap::dump (std::ostream& o) const
 {
-       Glib::RWLock::ReaderLock lm (lock, Glib::TRY_LOCK);
+       Glib::Threads::RWLock::ReaderLock lm (lock, Glib::Threads::TRY_LOCK);
        const MeterSection* m;
        const TempoSection* t;
 
        for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
 
                if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
-                       o << "Tempo @ " << *i << " (Bar-offset: " << t->bar_offset() << ") " << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->start() << " frame= " << t->frame() << " (movable? "
+                       o << "Tempo @ " << *i << " (Bar-offset: " << t->bar_offset() << ") " << t->beats_per_minute() << " BPM (pulse = 1/" << t->note_type() << ") at " << t->beat() << " frame= " << t->frame() << " (movable? "
                          << t->movable() << ')' << endl;
                } else if ((m = dynamic_cast<const MeterSection*>(*i)) != 0) {
-                       o << "Meter @ " << *i << ' ' << m->divisions_per_bar() << '/' << m->note_divisor() << " at " << m->start() << " frame= " << m->frame()
+                       o << "Meter @ " << *i << ' ' << m->divisions_per_bar() << '/' << m->note_divisor() << " at " << m->bbt() << " frame= " << m->frame()
                          << " (movable? " << m->movable() << ')' << endl;
                }
        }
@@ -1683,7 +1892,7 @@ TempoMap::dump (std::ostream& o) const
 int
 TempoMap::n_tempos() const
 {
-       Glib::RWLock::ReaderLock lm (lock);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
        int cnt = 0;
 
        for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
@@ -1698,7 +1907,7 @@ TempoMap::n_tempos() const
 int
 TempoMap::n_meters() const
 {
-       Glib::RWLock::ReaderLock lm (lock);
+       Glib::Threads::RWLock::ReaderLock lm (lock);
        int cnt = 0;
 
        for (Metrics::const_iterator i = metrics.begin(); i != metrics.end(); ++i) {
@@ -1714,7 +1923,7 @@ void
 TempoMap::insert_time (framepos_t where, framecnt_t amount)
 {
        {
-               Glib::RWLock::WriterLock lm (lock);
+               Glib::Threads::RWLock::WriterLock lm (lock);
                for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
                        if ((*i)->frame() >= where && (*i)->movable ()) {
                                (*i)->set_frame ((*i)->frame() + amount);
@@ -1731,288 +1940,187 @@ TempoMap::insert_time (framepos_t where, framecnt_t amount)
                const TempoSection* tempo;
                MeterSection *m;
                TempoSection *t;
-               
+
                meter = &first_meter ();
                tempo = &first_tempo ();
-               
+
                BBT_Time start;
                BBT_Time end;
-               
+
                // cerr << "\n###################### TIMESTAMP via AUDIO ##############\n" << endl;
-               
+
                bool first = true;
                MetricSection* prev = 0;
-               
+
                for (i = metrics.begin(); i != metrics.end(); ++i) {
-                       
+
                        BBT_Time bbt;
-                       TempoMetric metric (*meter, *tempo);
-                       
+                       //TempoMetric metric (*meter, *tempo);
+                       MeterSection* ms = const_cast<MeterSection*>(meter);
+                       TempoSection* ts = const_cast<TempoSection*>(tempo);
                        if (prev) {
-                               metric.set_start (prev->start());
-                               metric.set_frame (prev->frame());
+                               if (ts){
+                                       if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
+                                               ts->set_beat (t->beat());
+                                       }
+                                       if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
+                                               ts->set_beat (m->beat());
+                                       }
+                                       ts->set_frame (prev->frame());
+
+                               }
+                               if (ms) {
+                                       if ((m = dynamic_cast<MeterSection*>(prev)) != 0) {
+                                               pair<double, BBT_Time> start = make_pair (m->beat(), m->bbt());
+                                               ms->set_beat (start);
+                                       }
+                                       if ((t = dynamic_cast<TempoSection*>(prev)) != 0) {
+                                               pair<double, BBT_Time> start = make_pair (t->beat(), beats_to_bbt_unlocked (t->beat()));
+                                               ms->set_beat (start);
+                                       }
+                                       ms->set_frame (prev->frame());
+                               }
+
                        } else {
                                // metric will be at frames=0 bbt=1|1|0 by default
                                // which is correct for our purpose
                        }
-                       
-                       BBTPointList::const_iterator bi = bbt_before_or_at ((*i)->frame());
-                       bbt_time ((*i)->frame(), bbt, bi);
-                       
-                       // cerr << "timestamp @ " << (*i)->frame() << " with " << bbt.bars << "|" << bbt.beats << "|" << bbt.ticks << " => ";
-                       
-                       if (first) {
-                               first = false;
-                       } else {
-                               
-                               if (bbt.ticks > BBT_Time::ticks_per_beat/2) {
-                                       /* round up to next beat */
-                                       bbt.beats += 1;
-                               }
-                               
-                               bbt.ticks = 0;
-                               
-                               if (bbt.beats != 1) {
-                                       /* round up to next bar */
-                                       bbt.bars += 1;
-                                       bbt.beats = 1;
-                               }
-                       }
-                       
+
                        // cerr << bbt << endl;
-                       
-                       (*i)->set_start (bbt);
-                       
+
                        if ((t = dynamic_cast<TempoSection*>(*i)) != 0) {
+                               t->set_beat (beat_at_frame (m->frame()));
                                tempo = t;
-                               // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " start = " << (*i)->start() <<endl;
+                               // cerr << "NEW TEMPO, frame = " << (*i)->frame() << " beat = " << (*i)->beat() <<endl;
                        } else if ((m = dynamic_cast<MeterSection*>(*i)) != 0) {
+                               bbt_time (m->frame(), bbt);
+
+                               // cerr << "timestamp @ " << (*i)->frame() << " with " << bbt.bars << "|" << bbt.beats << "|" << bbt.ticks << " => ";
+
+                               if (first) {
+                                       first = false;
+                               } else {
+
+                                       if (bbt.ticks > BBT_Time::ticks_per_beat/2) {
+                                               /* round up to next beat */
+                                               bbt.beats += 1;
+                                       }
+
+                                       bbt.ticks = 0;
+
+                                       if (bbt.beats != 1) {
+                                               /* round up to next bar */
+                                               bbt.bars += 1;
+                                               bbt.beats = 1;
+                                       }
+                               }
+                               pair<double, BBT_Time> start = make_pair (beat_at_frame (m->frame()), bbt);
+                               m->set_beat (start);
                                meter = m;
-                               // cerr << "NEW METER, frame = " << (*i)->frame() << " start = " << (*i)->start() <<endl;
+                               // cerr << "NEW METER, frame = " << (*i)->frame() << " beat = " << (*i)->beat() <<endl;
                        } else {
                                fatal << _("programming error: unhandled MetricSection type") << endmsg;
-                               /*NOTREACHED*/
+                               abort(); /*NOTREACHED*/
                        }
-                       
+
                        prev = (*i);
                }
-               
+
                recompute_map (true);
        }
 
 
        PropertyChanged (PropertyChange ());
 }
-
-/** Add some (fractional) beats to a session frame position, and return the result in frames.
- *  pos can be -ve, if required.
- */
-framepos_t
-TempoMap::framepos_plus_beats (framepos_t pos, Evoral::MusicalTime beats) const
+bool
+TempoMap::remove_time (framepos_t where, framecnt_t amount)
 {
-       Glib::RWLock::ReaderLock lm (lock);
-       Metrics::const_iterator next_tempo;
-       const TempoSection* tempo;
-
-       /* Find the starting tempo metric */
-
-       for (next_tempo = metrics.begin(); next_tempo != metrics.end(); ++next_tempo) {
+       bool moved = false;
 
-               const TempoSection* t;
+       std::list<MetricSection*> metric_kill_list;
 
-               if ((t = dynamic_cast<const TempoSection*>(*next_tempo)) != 0) {
-
-                       /* This is a bit of a hack, but pos could be -ve, and if it is,
-                          we consider the initial metric changes (at time 0) to actually
-                          be in effect at pos.
-                       */
-
-                       framepos_t f = (*next_tempo)->frame ();
-
-                       if (pos < 0 && f == 0) {
-                               f = pos;
+       TempoSection* last_tempo = NULL;
+       MeterSection* last_meter = NULL;
+       bool tempo_after = false; // is there a tempo marker at the first sample after the removed range?
+       bool meter_after = false; // is there a meter marker likewise?
+       {
+               Glib::Threads::RWLock::WriterLock lm (lock);
+               for (Metrics::iterator i = metrics.begin(); i != metrics.end(); ++i) {
+                       if ((*i)->frame() >= where && (*i)->frame() < where+amount) {
+                               metric_kill_list.push_back(*i);
+                               TempoSection *lt = dynamic_cast<TempoSection*> (*i);
+                               if (lt)
+                                       last_tempo = lt;
+                               MeterSection *lm = dynamic_cast<MeterSection*> (*i);
+                               if (lm)
+                                       last_meter = lm;
                        }
-                       
-                       if (f > pos) {
-                               break;
+                       else if ((*i)->frame() >= where) {
+                               // TODO: make sure that moved tempo/meter markers are rounded to beat/bar boundaries
+                               (*i)->set_frame ((*i)->frame() - amount);
+                               if ((*i)->frame() == where) {
+                                       // marker was immediately after end of range
+                                       tempo_after = dynamic_cast<TempoSection*> (*i);
+                                       meter_after = dynamic_cast<MeterSection*> (*i);
+                               }
+                               moved = true;
                        }
-                       
-                       tempo = t;
                }
-       }
-
-       /* We now have:
-
-          tempo       -> the Tempo for "pos"
-          next_tempo  -> first tempo after "pos", possibly metrics.end()
-       */
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("frame %1 plus %2 beats, start with tempo = %3 @ %4\n",
-                                                      pos, beats, *((Tempo*)tempo), tempo->frame()));
-
-       while (beats) {
-
-               /* Distance to the end of this section in frames */
-               framecnt_t distance_frames = (next_tempo == metrics.end() ? max_framepos : ((*next_tempo)->frame() - pos));
 
-               /* Distance to the end in beats */
-               Evoral::MusicalTime distance_beats = distance_frames / tempo->frames_per_beat (_frame_rate);
-
-               /* Amount to subtract this time */
-               double const delta = min (distance_beats, beats);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tdistance to %1 = %2 (%3 beats)\n",
-                                                              (next_tempo == metrics.end() ? max_framepos : (*next_tempo)->frame()),
-                                                              distance_frames, distance_beats));
-
-               /* Update */
-               beats -= delta;
-               pos += delta * tempo->frames_per_beat (_frame_rate);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tnow at %1, %2 beats left\n", pos, beats));
-
-               /* step forwards to next tempo section */
-
-               if (next_tempo != metrics.end()) {
-
-                       tempo = dynamic_cast<const TempoSection*>(*next_tempo);
-
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tnew tempo = %1 @ %2 fpb = %3\n",
-                                                                      *((Tempo*)tempo), tempo->frame(),
-                                                                      tempo->frames_per_beat (_frame_rate)));
+               //find the last TEMPO and METER metric (if any) and move it to the cut point so future stuff is correct
+               if (last_tempo && !tempo_after) {
+                       metric_kill_list.remove(last_tempo);
+                       last_tempo->set_frame(where);
+                       moved = true;
+               }
+               if (last_meter && !meter_after) {
+                       metric_kill_list.remove(last_meter);
+                       last_meter->set_frame(where);
+                       moved = true;
+               }
 
-                       while (next_tempo != metrics.end ()) {
+               //remove all the remaining metrics
+               for (std::list<MetricSection*>::iterator i = metric_kill_list.begin(); i != metric_kill_list.end(); ++i) {
+                       metrics.remove(*i);
+                       moved = true;
+               }
 
-                               ++next_tempo;
-                               
-                               if (next_tempo != metrics.end() && dynamic_cast<const TempoSection*>(*next_tempo)) {
-                                       break;
-                               }
-                       }
+               if (moved) {
+                       recompute_map (true);
                }
        }
-
-       return pos;
+       PropertyChanged (PropertyChange ());
+       return moved;
 }
 
-/** Subtract some (fractional) beats to a frame position, and return the result in frames */
+/** Add some (fractional) beats to a session frame position, and return the result in frames.
+ *  pos can be -ve, if required.
+ */
 framepos_t
-TempoMap::framepos_minus_beats (framepos_t pos, Evoral::MusicalTime beats) const
+TempoMap::framepos_plus_beats (framepos_t pos, Evoral::Beats beats) const
 {
-       Glib::RWLock::ReaderLock lm (lock);
-       Metrics::const_reverse_iterator prev_tempo;
-       const TempoSection* tempo = 0;
-
-       /* Find the starting tempo metric */
-
-       for (prev_tempo = metrics.rbegin(); prev_tempo != metrics.rend(); ++prev_tempo) {
-
-               const TempoSection* t;
-
-               if ((t = dynamic_cast<const TempoSection*>(*prev_tempo)) != 0) {
-
-                       /* This is a bit of a hack, but pos could be -ve, and if it is,
-                          we consider the initial metric changes (at time 0) to actually
-                          be in effect at pos.
-                       */
-
-                       framepos_t f = (*prev_tempo)->frame ();
-
-                       if (pos < 0 && f == 0) {
-                               f = pos;
-                       }
-
-                       /* this is slightly more complex than the forward case
-                          because we reach the tempo in effect at pos after
-                          passing through pos (rather before, as in the
-                          forward case). having done that, we then need to
-                          keep going to get the previous tempo (or
-                          metrics.rend())
-                       */
-                       
-                       if (f <= pos) {
-                               if (tempo == 0) {
-                                       /* first tempo with position at or
-                                          before pos
-                                       */
-                                       tempo = t;
-                               } else if (f < pos) {
-                                       /* some other tempo section that
-                                          is even earlier than 'tempo'
-                                       */
-                                       break;
-                               }
-                       }
-               }
-       }
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("frame %1 minus %2 beats, start with tempo = %3 @ %4 prev at beg? %5\n",
-                                                      pos, beats, *((Tempo*)tempo), tempo->frame(),
-                                                      prev_tempo == metrics.rend()));
-
-       /* We now have:
-
-          tempo       -> the Tempo for "pos"
-          prev_tempo  -> the first metric before "pos", possibly metrics.rend()
-       */
-
-       while (beats) {
-               
-               /* Distance to the start of this section in frames */
-               framecnt_t distance_frames = (pos - tempo->frame());
-
-               /* Distance to the start in beats */
-               Evoral::MusicalTime distance_beats = distance_frames / tempo->frames_per_beat (_frame_rate);
-
-               /* Amount to subtract this time */
-               double const sub = min (distance_beats, beats);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tdistance to %1 = %2 (%3 beats)\n",
-                                                              tempo->frame(), distance_frames, distance_beats));
-               /* Update */
-
-               beats -= sub;
-               pos -= sub * tempo->frames_per_beat (_frame_rate);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tnow at %1, %2 beats left, prev at end ? %3\n", pos, beats,
-                                                              (prev_tempo == metrics.rend())));
-
-               /* step backwards to prior TempoSection */
-
-               if (prev_tempo != metrics.rend()) {
-
-                       tempo = dynamic_cast<const TempoSection*>(*prev_tempo);
-
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tnew tempo = %1 @ %2 fpb = %3\n",
-                                                                      *((Tempo*)tempo), tempo->frame(),
-                                                                      tempo->frames_per_beat (_frame_rate)));
-
-                       while (prev_tempo != metrics.rend ()) {
-
-                               ++prev_tempo;
-
-                               if (prev_tempo != metrics.rend() && dynamic_cast<const TempoSection*>(*prev_tempo) != 0) {
-                                       break;
-                               }
-                       }
-               } else {
-                       pos -= llrint (beats * tempo->frames_per_beat (_frame_rate));
-                       beats = 0;
-               }
-       }
+       return frame_at_beat (beat_at_frame (pos) + beats.to_double());
+}
 
-       return pos;
+/** Subtract some (fractional) beats from a frame position, and return the result in frames */
+framepos_t
+TempoMap::framepos_minus_beats (framepos_t pos, Evoral::Beats beats) const
+{
+       return frame_at_beat (beat_at_frame (pos) - beats.to_double());
 }
 
 /** Add the BBT interval op to pos and return the result */
 framepos_t
 TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
 {
-       Glib::RWLock::ReaderLock lm (lock);
+       cerr << "framepos_plus_bbt - untested" << endl;
+       Glib::Threads::RWLock::ReaderLock lm (lock);
+
        Metrics::const_iterator i;
        const MeterSection* meter;
        const MeterSection* m;
        const TempoSection* tempo;
+       const TempoSection* next_tempo = 0;
        const TempoSection* t;
        double frames_per_beat;
        framepos_t effective_pos = max (pos, (framepos_t) 0);
@@ -2038,10 +2146,20 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
                }
        }
 
+       for (i = metrics.begin(); i != metrics.end(); ++i) {
+               if ((*i)->frame() > effective_pos) {
+                       if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
+                               next_tempo = t;
+                       }
+                       break;
+               }
+       }
+
        /* We now have:
 
           meter -> the Meter for "pos"
           tempo -> the Tempo for "pos"
+          next_tempo -> the Tempo after "pos" or 0
           i     -> for first new metric after "pos", possibly metrics.end()
        */
 
@@ -2049,9 +2167,9 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
           checking for a new metric on every beat.
        */
 
-       frames_per_beat = tempo->frames_per_beat (_frame_rate);
-
        uint64_t bars = 0;
+       /* fpb is used for constant tempo */
+       frames_per_beat = tempo->frames_per_beat (_frame_rate);
 
        while (op.bars) {
 
@@ -2070,8 +2188,17 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
                                 * traversed before we change the
                                 * frames_per_beat value.
                                 */
-                               
-                               pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
+
+                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
+                                       next_tempo = t;
+                               }
+
+                               if (next_tempo) {
+                                       pos += tempo->frame_at_beat (bars * meter->divisions_per_bar(), next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
+                               } else {
+                                       pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
+                               }
+
                                bars = 0;
 
                                if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
@@ -2081,13 +2208,16 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
                                }
                                ++i;
                                frames_per_beat = tempo->frames_per_beat (_frame_rate);
-
                        }
                }
 
        }
 
-       pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
+       if (next_tempo) {
+               pos += tempo->frame_at_beat (bars * meter->divisions_per_bar(), next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
+       } else {
+               pos += llrint (frames_per_beat * (bars * meter->divisions_per_bar()));
+       }
 
        uint64_t beats = 0;
 
@@ -2111,7 +2241,16 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
                                 * frames_per_beat value.
                                 */
 
-                               pos += llrint (beats * frames_per_beat);
+                               if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
+                                       next_tempo = t;
+                               }
+
+                               if (next_tempo) {
+                                       pos += tempo->frame_at_beat (beats, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
+                               } else {
+                                       pos += llrint (beats * frames_per_beat);
+                               }
+
                                beats = 0;
 
                                if ((t = dynamic_cast<const TempoSection*>(*i)) != 0) {
@@ -2125,138 +2264,27 @@ TempoMap::framepos_plus_bbt (framepos_t pos, BBT_Time op) const
                }
        }
 
-       pos += llrint (beats * frames_per_beat);
+       if (next_tempo) {
+               pos += tempo->frame_at_beat (beats, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
+       } else {
+               pos += llrint (beats * frames_per_beat);
+       }
 
        if (op.ticks) {
-               if (op.ticks >= BBT_Time::ticks_per_beat) {
-                       pos += llrint (frames_per_beat + /* extra beat */
-                                      (frames_per_beat * ((op.ticks % (uint32_t) BBT_Time::ticks_per_beat) / 
-                                                          (double) BBT_Time::ticks_per_beat)));
-               } else {
-                       pos += llrint (frames_per_beat * (op.ticks / (double) BBT_Time::ticks_per_beat));
-               }
+               pos += tempo->frame_at_tick (op.ticks, next_tempo->beats_per_minute(), next_tempo->frame(), _frame_rate);
        }
 
        return pos;
+
 }
 
 /** Count the number of beats that are equivalent to distance when going forward,
     starting at pos.
 */
-Evoral::MusicalTime
+Evoral::Beats
 TempoMap::framewalk_to_beats (framepos_t pos, framecnt_t distance) const
 {
-       Glib::RWLock::ReaderLock lm (lock);
-       Metrics::const_iterator next_tempo;
-       const TempoSection* tempo = 0;
-       framepos_t effective_pos = max (pos, (framepos_t) 0);
-
-       /* Find the relevant initial tempo metric  */
-
-       for (next_tempo = metrics.begin(); next_tempo != metrics.end(); ++next_tempo) {
-
-               const TempoSection* t;
-
-               if ((t = dynamic_cast<const TempoSection*>(*next_tempo)) != 0) {
-
-                       if ((*next_tempo)->frame() > effective_pos) {
-                               break;
-                       }
-
-                       tempo = t;
-               }
-       }
-
-       /* We now have:
-
-          tempo -> the Tempo for "pos"
-          next_tempo -> the next tempo after "pos", possibly metrics.end()
-       */
-
-       assert (tempo);
-
-       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("frame %1 walk by %2 frames, start with tempo = %3 @ %4\n",
-                                                      pos, distance, *((Tempo*)tempo), tempo->frame()));
-       
-       Evoral::MusicalTime beats = 0;
-
-       while (distance) {
-
-               /* End of this section */
-               framepos_t const end = ((next_tempo == metrics.end()) ? max_framepos : (*next_tempo)->frame ());
-
-               /* Distance to the end in frames */
-               framecnt_t const distance_to_end = end - pos;
-
-               /* Amount to subtract this time */
-               double const sub = min (distance, distance_to_end);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("to reach end at %1 (end ? %2), distance= %3 sub=%4\n", end, (next_tempo == metrics.end()),
-                                                              distance_to_end, sub));
-
-               /* Update */
-               pos += sub;
-               distance -= sub;
-               assert (tempo);
-               beats += sub / tempo->frames_per_beat (_frame_rate);
-
-               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("now at %1, beats = %2 distance left %3\n",
-                                                              pos, beats, distance));
-
-               /* Move on if there's anything to move to */
-
-               if (next_tempo != metrics.end()) {
-
-                       tempo = dynamic_cast<const TempoSection*>(*next_tempo);
-
-                       DEBUG_TRACE (DEBUG::TempoMath, string_compose ("\tnew tempo = %1 @ %2 fpb = %3\n",
-                                                                      *((Tempo*)tempo), tempo->frame(),
-                                                                      tempo->frames_per_beat (_frame_rate)));
-
-                       while (next_tempo != metrics.end ()) {
-
-                               ++next_tempo;
-                               
-                               if (next_tempo != metrics.end() && dynamic_cast<const TempoSection*>(*next_tempo)) {
-                                       break;
-                               }
-                       }
-
-                       if (next_tempo == metrics.end()) {
-                               DEBUG_TRACE (DEBUG::TempoMath, "no more tempo sections\n");
-                       } else {
-                               DEBUG_TRACE (DEBUG::TempoMath, string_compose ("next tempo section is %1 @ %2\n",
-                                                                              **next_tempo, (*next_tempo)->frame()));
-                       }
-
-               }
-               assert (tempo);
-       }
-
-       return beats;
-}
-
-TempoMap::BBTPointList::const_iterator
-TempoMap::bbt_before_or_at (framepos_t pos)
-{
-       /* CALLER MUST HOLD READ LOCK */
-
-       BBTPointList::const_iterator i;
-
-       if (pos < 0) {
-               /* not really correct, but we should catch pos < 0 at a higher
-                  level 
-               */
-               return _map.begin();
-       }
-
-       i = lower_bound (_map.begin(), _map.end(), pos);
-       assert (i != _map.end());
-       if ((*i).frame > pos) {
-               assert (i != _map.begin());
-               --i;
-       }
-       return i;
+       return Evoral::Beats(beat_at_frame (pos + distance) - beat_at_frame (pos));
 }
 
 struct bbtcmp {
@@ -2265,62 +2293,28 @@ struct bbtcmp {
     }
 };
 
-TempoMap::BBTPointList::const_iterator
-TempoMap::bbt_before_or_at (const BBT_Time& bbt)
-{
-       BBTPointList::const_iterator i;
-       bbtcmp cmp;
-
-       i = lower_bound (_map.begin(), _map.end(), bbt, cmp);
-       assert (i != _map.end());
-       if ((*i).bar > bbt.bars || (*i).beat > bbt.beats) {
-               assert (i != _map.begin());
-               --i;
-       }
-       return i;
-}
-
-TempoMap::BBTPointList::const_iterator
-TempoMap::bbt_after_or_at (framepos_t pos) 
-{
-       /* CALLER MUST HOLD READ LOCK */
-
-       BBTPointList::const_iterator i;
-
-       if (_map.back().frame == pos) {
-               i = _map.end();
-               assert (i != _map.begin());
-               --i;
-               return i;
-       }
-
-       i = upper_bound (_map.begin(), _map.end(), pos);
-       assert (i != _map.end());
-       return i;
-}
-
-std::ostream& 
+std::ostream&
 operator<< (std::ostream& o, const Meter& m) {
        return o << m.divisions_per_bar() << '/' << m.note_divisor();
 }
 
-std::ostream& 
+std::ostream&
 operator<< (std::ostream& o, const Tempo& t) {
        return o << t.beats_per_minute() << " 1/" << t.note_type() << "'s per minute";
 }
 
-std::ostream& 
+std::ostream&
 operator<< (std::ostream& o, const MetricSection& section) {
 
-       o << "MetricSection @ " << section.frame() << " aka " << section.start() << ' ';
+       o << "MetricSection @ " << section.frame() << ' ';
 
        const TempoSection* ts;
        const MeterSection* ms;
 
        if ((ts = dynamic_cast<const TempoSection*> (&section)) != 0) {
-               o << *((Tempo*) ts);
+               o << *((const Tempo*) ts);
        } else if ((ms = dynamic_cast<const MeterSection*> (&section)) != 0) {
-               o << *((Meter*) ms);
+               //o << *((const Meter*) ms);
        }
 
        return o;