-/*
- musical-pitch.cc -- implement Pitch
-
- source file of the GNU LilyPond music typesetter
-
- (c) 1998--2004 Han-Wen Nienhuys <hanwen@cs.uu.nl>
-
- */
+/*
+ This file is part of LilyPond, the GNU music typesetter.
+
+ Copyright (C) 1998--2014 Han-Wen Nienhuys <hanwen@xs4all.nl>
+
+ LilyPond is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ LilyPond is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with LilyPond. If not, see <http://www.gnu.org/licenses/>.
+*/
+
#include "pitch.hh"
-#include "warn.hh"
-#include "main.hh"
-#include "ly-smobs.icc"
+#include "main.hh"
+#include "scale.hh"
+#include "string-convert.hh"
+#include "warn.hh"
+#include "ly-smobs.icc"
+#include <cmath>
-Pitch::Pitch (int o, int n, int a)
+Pitch::Pitch (int o, int n, Rational a)
{
notename_ = n;
alteration_ = a;
octave_ = o;
- normalise ();
+ scale_ = default_global_scale;
+ normalize_octave ();
}
+/* FIXME: why is octave == 0 and default not middleC ? */
Pitch::Pitch ()
{
notename_ = 0;
- alteration_ = 0;
+ scale_ = default_global_scale;
octave_ = 0;
+ alteration_ = (Rational)0;
}
int
Pitch::compare (Pitch const &m1, Pitch const &m2)
{
- int o= m1.octave_ - m2.octave_;
+ int o = m1.octave_ - m2.octave_;
int n = m1.notename_ - m2.notename_;
- int a = m1.alteration_ - m2.alteration_;
+ Rational a = m1.alteration_ - m2.alteration_;
if (o)
- return o;
+ return o;
if (n)
- return n;
+ return n;
if (a)
- return a;
+ return a > (Rational)0 ? 1 : -1;
+
return 0;
}
int
Pitch::steps () const
{
- return notename_ + octave_*7;
+ return notename_ + octave_ * scale_->step_count ();
}
-/*
- should be settable from input?
- */
-static Byte diatonic_scale_semitones[ ] = { 0, 2, 4, 5, 7, 9, 11 };
-
+Rational
+Pitch::tone_pitch () const
+{
+ return scale_->tones_at_step (notename_, octave_) + alteration_;
+}
/* Calculate pitch height in 12th octave steps. Don't assume
- normalised pitch as this function is used to normalise the pitch. */
+ normalized pitch as this function is used to normalize the pitch. */
int
-Pitch::semitone_pitch () const
+Pitch::rounded_semitone_pitch () const
{
- int o = octave_;
- int n = notename_;
- while (n < 0)
- {
- n += 7;
- o --;
- }
-
- if (alteration_ % 2)
- {
- programming_error ("Calling semitone_pitch() for quarter tone alterations.");
-
- }
-
- return (o + n / 7) * 12 + diatonic_scale_semitones[n % 7] + (alteration_/2);
+ return int (floor (double (tone_pitch () * Rational (2) + Rational (1, 2))));
}
int
-Pitch::quartertone_pitch () const
+Pitch::rounded_quartertone_pitch () const
{
- int o = octave_;
- int n = notename_;
- while (n < 0)
- {
- n += 7;
- o --;
- }
-
- return (o + n / 7) * 24 + 2* diatonic_scale_semitones[n % 7] + (alteration_);
+ return int (floor (double (tone_pitch () * Rational (4) + Rational (1, 2))));
}
void
-Pitch::normalise ()
+Pitch::normalize_octave ()
{
- int pitch = quartertone_pitch ();
- while (notename_ >= 7)
- {
- notename_ -= 7;
- octave_++;
- alteration_ -= quartertone_pitch () - pitch;
- }
- while (notename_ < 0)
- {
- notename_ += 7;
- octave_--;
- alteration_ -= quartertone_pitch () - pitch;
- }
- while (alteration_ > DOUBLE_SHARP)
+ int normalized_step = notename_ % scale_->step_count ();
+ if (normalized_step < 0)
+ normalized_step += scale_->step_count ();
+
+ octave_ += (notename_ - normalized_step) / scale_->step_count ();
+ notename_ = normalized_step;
+}
+
+void
+Pitch::normalize_alteration ()
+{
+ while (alteration_ > Rational (1))
{
- if (notename_ == 6)
- {
- notename_ = 0;
- octave_++;
- }
- else
- notename_++;
-
- alteration_ = 0;
- alteration_ -= quartertone_pitch () - pitch;
+ alteration_ -= scale_->step_size (notename_);
+ notename_++;
}
-
- while (alteration_ < DOUBLE_FLAT)
+ while (alteration_ < Rational (-1))
{
- if (notename_ == 0)
- {
- notename_ = 6;
- octave_--;
- }
- else
- notename_--;
-
- alteration_ = 0;
- alteration_ -= quartertone_pitch () - pitch;
+ notename_--;
+ alteration_ += scale_->step_size (notename_);
}
}
-/* WHugh, wat een intervaas */
+void
+Pitch::normalize ()
+{
+ normalize_alteration ();
+ normalize_octave ();
+}
+
void
Pitch::transpose (Pitch delta)
{
- int new_semi = quartertone_pitch () +delta.quartertone_pitch();
+ Rational new_alter = tone_pitch () + delta.tone_pitch ();
+
octave_ += delta.octave_;
notename_ += delta.notename_;
- alteration_ += new_semi - quartertone_pitch();
+ alteration_ += new_alter - tone_pitch ();
- normalise ();
+ normalize_octave ();
}
Pitch
-interval (Pitch const & from , Pitch const & to )
+pitch_interval (Pitch const &from, Pitch const &to)
{
- int sound = to.quartertone_pitch() - from.quartertone_pitch ();
+ Rational sound = to.tone_pitch () - from.tone_pitch ();
Pitch pt (to.get_octave () - from.get_octave (),
- to.get_notename() - from.get_notename(),
+ to.get_notename () - from.get_notename (),
- to.get_alteration() - from.get_alteration());
+ to.get_alteration () - from.get_alteration ());
- return pt.transposed (Pitch(0,0,sound - pt.quartertone_pitch()));
+ return pt.transposed (Pitch (0, 0, sound - pt.tone_pitch ()));
}
-
/* FIXME
- Merge with *pitch->text* funcs in chord-name.scm
- */
+ Merge with *pitch->text* funcs in chord-name.scm */
char const *accname[] = {"eses", "eseh", "es", "eh", "",
- "ih", "is" , "isih", "isis"};
+ "ih", "is", "isih", "isis"
+ };
-String
+string
Pitch::to_string () const
{
- int n = (notename_ + 2) % 7;
- String s = ::to_string (char (n + 'a'));
- if (alteration_)
- s += String (accname[alteration_ - DOUBLE_FLAT]);
+ int n = (notename_ + 2) % scale_->step_count ();
+ string s = ::to_string (char (n + 'a'));
+ Rational qtones = alteration_ * Rational (4, 1);
+ int qt = int (rint (Real (qtones)));
+ s += string (accname[qt + 4]);
if (octave_ >= 0)
{
int o = octave_ + 1;
while (o--)
- s += "'";
+ s += "'";
}
else if (octave_ < 0)
{
int o = (-octave_) - 1;
while (o--)
- s += ::to_string (',');
+ s += ::to_string (',');
}
return s;
}
-/*
- change me to relative, counting from last pitch p
- return copy of resulting pitch
- */
+/* Change me to relative, counting from last pitch p
+ return copy of resulting pitch. */
Pitch
Pitch::to_relative_octave (Pitch p) const
{
- int oct_mod = octave_ + 1; // account for c' = octave 1 iso. 0 4
+ /* account for c' = octave 1 iso. 0 4 */
+ int oct_mod = octave_ + 1;
Pitch up_pitch (p);
Pitch down_pitch (p);
up_pitch.alteration_ = alteration_;
down_pitch.alteration_ = alteration_;
-
+
Pitch n = *this;
up_pitch.up_to (notename_);
down_pitch.down_to (notename_);
n = up_pitch;
else
n = down_pitch;
-
+
n.octave_ += oct_mod;
return n;
}
void
Pitch::up_to (int notename)
{
- if (notename_ > notename)
- {
- octave_ ++;
- }
- notename_ = notename;
+ if (notename_ > notename)
+ octave_++;
+ notename_ = notename;
}
void
Pitch::down_to (int notename)
{
if (notename_ < notename)
- {
- octave_ --;
- }
+ octave_--;
notename_ = notename;
}
-
-LY_DEFINE(ly_pitch_transpose,
- "ly:pitch-transpose", 2, 0, 0,
- (SCM p, SCM delta),
- "Transpose @var{p} by the amount @var{delta}, where @var{delta} is the "
-" pitch that central C is transposed to.")
-{
- Pitch* t = unsmob_pitch (p);
- Pitch *d = unsmob_pitch (delta);
- SCM_ASSERT_TYPE(t, p, SCM_ARG1, __FUNCTION__, "pitch") ;
- SCM_ASSERT_TYPE(d, delta, SCM_ARG1, __FUNCTION__, "pitch") ;
-
- return t->transposed (*d).smobbed_copy ();
-}
-
-/****************************************************************/
-
IMPLEMENT_TYPE_P (Pitch, "ly:pitch?");
-
SCM
-Pitch::mark_smob (SCM)
+Pitch::mark_smob (SCM x)
{
- return SCM_EOL;
+ Pitch *p = (Pitch *) SCM_CELL_WORD_1 (x);
+ return p->scale_->self_scm ();
}
IMPLEMENT_SIMPLE_SMOBS (Pitch);
int
Pitch::print_smob (SCM s, SCM port, scm_print_state *)
{
- Pitch *r = (Pitch *) ly_cdr (s);
-
+ Pitch *r = (Pitch *) SCM_CELL_WORD_1 (s);
scm_puts ("#<Pitch ", port);
- scm_display (scm_makfrom0str (r->to_string ().to_str0 ()), port);
+ scm_display (ly_string2scm (r->to_string ()), port);
scm_puts (" >", port);
-
return 1;
}
SCM
-Pitch::equal_p (SCM a , SCM b)
+Pitch::equal_p (SCM a, SCM b)
{
- Pitch *p = (Pitch *) ly_cdr (a);
- Pitch *q = (Pitch *) ly_cdr (b);
+ Pitch *p = (Pitch *) SCM_CELL_WORD_1 (a);
+ Pitch *q = (Pitch *) SCM_CELL_WORD_1 (b);
bool eq = p->notename_ == q->notename_
- && p->octave_ == q->octave_
- && p->alteration_ == q->alteration_;
+ && p->octave_ == q->octave_
+ && p->alteration_ == q->alteration_;
return eq ? SCM_BOOL_T : SCM_BOOL_F;
}
return SCM_BOOL_F;
}
-/*
- should add optional args
- */
-
-LY_DEFINE(make_pitch, "ly:make-pitch", 3, 0, 0,
- (SCM octave, SCM note, SCM alter),
- "@var{octave} is specified by an integer, zero for the octave containing "
- "middle C. @var{note} is a number from 0 to 6, with 0 corresponding to C "
- "and 6 corresponding to B. The @var{alter} is zero for a natural, negative for "
- "flats, or positive for sharps. ")
-{
- SCM_ASSERT_TYPE(scm_integer_p (octave)== SCM_BOOL_T , octave, SCM_ARG1, __FUNCTION__, "integer");
- SCM_ASSERT_TYPE(scm_integer_p (note)== SCM_BOOL_T, note, SCM_ARG2, __FUNCTION__, "integer");
- SCM_ASSERT_TYPE(scm_integer_p (alter)== SCM_BOOL_T, alter, SCM_ARG3, __FUNCTION__, "integer");
-
- Pitch p (gh_scm2int (octave), gh_scm2int (note), gh_scm2int (alter));
- return p.smobbed_copy ();
-}
-
-LY_DEFINE(pitch_steps, "ly:pitch-steps", 1, 0,0,
- (SCM p),
- "Number of steps counted from central C of the pitch @var{p}.")
-{
- Pitch *pp = unsmob_pitch (p);
- SCM_ASSERT_TYPE(pp, p, SCM_ARG1, __FUNCTION__, "Pitch");
-
- return gh_int2scm (pp->steps());
-}
-
-LY_DEFINE(pitch_octave, "ly:pitch-octave", 1, 0, 0,
- (SCM pp),
- "extract the octave from pitch @var{p}.")
-{
- Pitch *p = unsmob_pitch (pp);
- SCM_ASSERT_TYPE(p, pp, SCM_ARG1, __FUNCTION__, "Pitch");
- int q = p->get_octave ();
-
- return gh_int2scm (q);
-}
-
-LY_DEFINE(pitch_alteration, "ly:pitch-alteration", 1, 0, 0,
- (SCM pp),
- "extract the alteration from pitch @var{p}.")
-{
- Pitch *p = unsmob_pitch (pp);
- SCM_ASSERT_TYPE(p, pp, SCM_ARG1, __FUNCTION__, "Pitch");
- int q = p->get_alteration ();
-
- return gh_int2scm (q);
-}
-
-LY_DEFINE(pitch_notename, "ly:pitch-notename", 1, 0, 0,
- (SCM pp),
- "extract the note name from pitch @var{pp}.")
-{
- Pitch *p = unsmob_pitch (pp);
- SCM_ASSERT_TYPE(p, pp, SCM_ARG1, __FUNCTION__, "Pitch");
- int q = p->get_notename ();
-
- return gh_int2scm (q);
-}
-
-LY_DEFINE(ly_pitch_quartertones, "ly:pitch-quartertones", 1, 0, 0,
- (SCM pp),
- "calculate the number of semitones of @var{p} from central C.")
-{
- Pitch *p = unsmob_pitch (pp);
- SCM_ASSERT_TYPE(p, pp, SCM_ARG1, __FUNCTION__, "Pitch");
-
- int q = p->quartertone_pitch ();
-
- return gh_int2scm (q);
-}
-
-LY_DEFINE(ly_pitch_semitones, "ly:pitch-semitones", 1, 0, 0,
- (SCM pp),
- "calculate the number of semitones of @var{p} from central C.")
-{
- Pitch *p = unsmob_pitch (pp);
- SCM_ASSERT_TYPE(p, pp, SCM_ARG1, __FUNCTION__, "Pitch");
-
- int q = p->semitone_pitch ();
-
- return gh_int2scm (q);
-}
-
-LY_DEFINE(pitch_less, "ly:pitch<?", 2,0,0, (SCM p1, SCM p2),
- "Is @var{p1} lower than @var{p2}? This uses lexicographic ordening.")
-{
- Pitch *a = unsmob_pitch (p1);
- Pitch *b = unsmob_pitch (p2);
-
- SCM_ASSERT_TYPE(a, p1, SCM_ARG1, __FUNCTION__, "Pitch");
- SCM_ASSERT_TYPE(b, p2, SCM_ARG2, __FUNCTION__, "Pitch");
-
- if (Pitch::compare (*a, *b) < 0)
- return SCM_BOOL_T;
- else
- return SCM_BOOL_F;
-}
-
-LY_DEFINE(ly_pitch_diff, "ly:pitch-diff", 2 ,0 ,0,
- (SCM pitch, SCM root),
- "Return pitch @var{delta} such that @code{pitch} transposed by "
- "@var{delta} equals @var{root}"
- )
-{
- Pitch *p = unsmob_pitch (pitch);
- Pitch *r = unsmob_pitch (root);
- SCM_ASSERT_TYPE(p, pitch, SCM_ARG1, __FUNCTION__, "Pitch");
- SCM_ASSERT_TYPE(r, root, SCM_ARG2, __FUNCTION__, "Pitch");
-
- return interval (*r, *p).smobbed_copy();
-}
-
-SCM
-Pitch::smobbed_copy ()const
-{
- Pitch * p = new Pitch (*this);
- return p->smobbed_self ();
-}
-
int
-Pitch::get_octave ()const
+Pitch::get_octave () const
{
return octave_;
}
return notename_;
}
-int
+Rational
Pitch::get_alteration () const
{
return alteration_;
Pitch
Pitch::transposed (Pitch d) const
{
- Pitch p =*this;
+ Pitch p = *this;
p.transpose (d);
return p;
}
+
+Pitch
+Pitch::normalized () const
+{
+ Pitch p = *this;
+ p.normalize ();
+ return p;
+}
+
+Rational NATURAL_ALTERATION (0);
+Rational FLAT_ALTERATION (-1, 2);
+Rational DOUBLE_FLAT_ALTERATION (-1);
+Rational SHARP_ALTERATION (1, 2);
+
+Pitch
+Pitch::negated () const
+{
+ return pitch_interval (*this, Pitch ());
+}
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