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serenity/Applications/Piano/Music.h
William McPherson 72cbbd5297 Piano: New timing system and zoomable piano roll
This patch allows roll notes to be of different sizes. This necessitates
a new internal representation of time. BPM and time signatures are
mostly implemented but not exposed.

Roll notes are now sample-accurate and the grid is aligned to 60 BPM
4/4. The roll is divided by the time signature raised to some power of
2, giving the musical divisions of (in the case of 4/4) 16, 32, 64 etc.

Before, our timing was derived from the buffer size and we relied on
that to implement delay. Delay has been rewritten to be sample-granular.
It's now exposed as the proper "divisions of a beat".
Something to be wary of is that the last buffer in the loop is also used
for the start of the next loop. In other words, we loop mid-buffer. This
means we write WAVs with a tiny bit of silence due to breaking the loop
after filling half a buffer.

The data structure for the roll is an array of SinglyLinkedLists of
RollNotes. Separating by pitch (via the array layout) makes insertion
much simpler and faster. Using sorted lists (and thus
SinglyLinkedListIterators) to do lookups is very quick as you know the
sample of the next note and can just compare it to the current sample. I
implemented this with HashMaps and the cost of lookups was abysmal. I
also tried a single SinglyLinkedList and the insertion code got even
more complicated than it already is.
2020-02-27 10:21:13 +01:00

314 lines
6.3 KiB
C++

/*
* Copyright (c) 2018-2020, Andreas Kling <kling@serenityos.org>
* Copyright (c) 2019-2020, William McPherson <willmcpherson2@gmail.com>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#pragma once
#include <AK/Types.h>
#include <LibGfx/Color.h>
namespace Music {
// CD quality
// - Stereo
// - 16 bit
// - 44,100 samples/sec
// - 1,411.2 kbps
struct Sample {
i16 left;
i16 right;
};
constexpr int sample_count = 1024;
constexpr int buffer_size = sample_count * sizeof(Sample);
constexpr double sample_rate = 44100;
constexpr double volume = 1800;
enum Switch {
Off,
On,
};
struct RollNote {
u32 length() const { return (off_sample - on_sample) + 1; }
u32 on_sample;
u32 off_sample;
};
enum Direction {
Down,
Up,
};
enum Wave {
Sine,
Triangle,
Square,
Saw,
Noise,
RecordedSample,
};
constexpr const char* wave_strings[] = {
"Sine",
"Triangle",
"Square",
"Saw",
"Noise",
"Sample",
};
constexpr int first_wave = Sine;
constexpr int last_wave = RecordedSample;
enum Envelope {
Done,
Attack,
Decay,
Release,
};
enum KeyColor {
White,
Black,
};
constexpr KeyColor key_pattern[] = {
White,
Black,
White,
Black,
White,
White,
Black,
White,
Black,
White,
Black,
White,
};
const Color note_pressed_color(64, 64, 255);
const Color column_playing_color(128, 128, 255);
const Color left_wave_colors[] = {
// Sine
{
255,
192,
0,
},
// Triangle
{
35,
171,
35,
},
// Square
{
128,
160,
255,
},
// Saw
{
240,
100,
128,
},
// Noise
{
197,
214,
225,
},
// RecordedSample
{
227,
39,
39,
},
};
const Color right_wave_colors[] = {
// Sine
{
255,
223,
0,
},
// Triangle
{
35,
171,
90,
},
// Square
{
139,
128,
255,
},
// Saw
{
240,
100,
220,
},
// Noise
{
197,
223,
225,
},
// RecordedSample
{
227,
105,
39,
},
};
constexpr int notes_per_octave = 12;
constexpr int white_keys_per_octave = 7;
constexpr int black_keys_per_octave = 5;
constexpr int octave_min = 1;
constexpr int octave_max = 7;
constexpr double beats_per_minute = 60;
constexpr int beats_per_bar = 4;
constexpr int notes_per_beat = 4;
constexpr int roll_length = (sample_rate / (beats_per_minute / 60)) * beats_per_bar;
// Equal temperament, A = 440Hz
// We calculate note frequencies relative to A4:
// 440.0 * pow(pow(2.0, 1.0 / 12.0), N)
// Where N is the note distance from A.
constexpr double note_frequencies[] = {
// Octave 1
32.703195662574764,
34.647828872108946,
36.708095989675876,
38.890872965260044,
41.203444614108669,
43.653528929125407,
46.249302838954222,
48.99942949771858,
51.913087197493056,
54.999999999999915,
58.270470189761156,
61.735412657015416,
// Octave 2
65.406391325149571,
69.295657744217934,
73.416191979351794,
77.781745930520117,
82.406889228217381,
87.307057858250872,
92.4986056779085,
97.998858995437217,
103.82617439498618,
109.99999999999989,
116.54094037952237,
123.4708253140309,
// Octave 3
130.8127826502992,
138.59131548843592,
146.83238395870364,
155.56349186104035,
164.81377845643485,
174.61411571650183,
184.99721135581709,
195.99771799087452,
207.65234878997245,
219.99999999999989,
233.08188075904488,
246.94165062806198,
// Octave 4
261.62556530059851,
277.18263097687202,
293.66476791740746,
311.12698372208081,
329.62755691286986,
349.22823143300383,
369.99442271163434,
391.99543598174927,
415.30469757994513,
440,
466.16376151808993,
493.88330125612413,
// Octave 5
523.25113060119736,
554.36526195374427,
587.32953583481526,
622.25396744416196,
659.25511382574007,
698.456462866008,
739.98884542326903,
783.99087196349899,
830.60939515989071,
880.00000000000034,
932.32752303618031,
987.76660251224882,
// Octave 6
1046.5022612023952,
1108.7305239074892,
1174.659071669631,
1244.5079348883246,
1318.5102276514808,
1396.9129257320169,
1479.977690846539,
1567.9817439269987,
1661.2187903197821,
1760.000000000002,
1864.6550460723618,
1975.5332050244986,
// Octave 7
2093.0045224047913,
2217.4610478149793,
2349.3181433392633,
2489.0158697766506,
2637.020455302963,
2793.8258514640347,
2959.9553816930793,
3135.9634878539991,
3322.437580639566,
3520.0000000000055,
3729.3100921447249,
3951.0664100489994,
};
constexpr int note_count = sizeof(note_frequencies) / sizeof(double);
constexpr double middle_c = note_frequencies[36];
}
using namespace Music;