🚥 📹 🔡 STM32からロシアのマイクロコントローラーK1986BE92QIに渡します。音を生成して再現します。パート4：最終 🤰🏾 🎎 👩🏼‍⚖️

はじめに

この記事では、マイクロコントローラーを使用したサウンド生成のトピックを終了します。ミュージカルカードの1ボイスとマルチボイスの基礎を作成しましょう。

1ボイスのミュージカルカードを作成します。単純なメロディを演奏します。

タイマーを操作する機能の統合として、小さなメロディーを再生するプログラムを作成することを提案します。ミュージカルカードのようなもの。まず、明確にします。サイン波はすべてのノートで同じです。この正弦波のアンプへの出力速度が異なるため、ピッチの違いが生じます。つまり、タイマーのパラメーターを変更すると、ノートのピッチが変更されます。 DMAは同じ正弦波を送信します。

ピッチを変更する関数を書きましょう。

void SM_Ton (uint32_t TN) //  . { TIMER1->CNTRL = 0; // . TIMER2->CNTRL = 0; TIMER1->CNT = 0; //  . TIMER2->CNT = 0; TIMER1->ARR = TN; //  . TIMER2->ARR = TN*25; DAC_ST_ADC[10-1].channel_cfg = (uint32_t)(DMA_DAC_InitST_PR); //  DMA. DAC_ST_ADC[10-1+32].channel_cfg = (uint32_t)(DMA_DAC_InitST_ALT); TIMER1->CNTRL = CNTRL_CNT_EN; //  . TIMER2->CNTRL = CNTRL_CNT_EN; }

また、タイマーの初期化中に、特定の周波数で正弦波を既に発行したことを思い出してください。初期化関数から「サウンド」ノートを削除する必要があります。

以下が得られます。

 void Init_TIMER1_to_DMA_and_DAC2 (void) { RST_CLK->PER_CLOCK |= PER_CLOCK_TIMER1_ONCLK|PER_CLOCK_TIMER2_ONCLK; //   1  2. RST_CLK->TIM_CLOCK = 0; //  . TIMER1->DMA_RE |= DMA_RE_CNT_ARR_EVENT_RE; //  DMA. TIMER2->IE = TIMERx_IE_CNT_ARR_EVENT_IE; //   . TIMER2->STATUS=0; //  . NVIC->ISER[0] = 1<<15; //    2. RST_CLK->TIM_CLOCK = TIM_CLOCK_TIM1_CLK_EN|TIM_CLOCK_TIM2_CLK_EN; //    . }

次に、音をミュートする関数を作成する必要があります。

 void Ton_off (void) { TIMER1->CNTRL = 0; // . TIMER2->CNTRL = 0; }

次に、ノート周波数の配列を作成する必要があります。 3オクターブにしましょう

 #define HCLK_MY_TIMDEL 8000000/100 uint32_t music_books[37] = { HCLK_MY_TIMDEL/130.82, //C_3 HCLK_MY_TIMDEL/138.59, HCLK_MY_TIMDEL/147.83, HCLK_MY_TIMDEL/155.56, HCLK_MY_TIMDEL/164.81, HCLK_MY_TIMDEL/174.62, HCLK_MY_TIMDEL/185, HCLK_MY_TIMDEL/196, HCLK_MY_TIMDEL/207, HCLK_MY_TIMDEL/220, HCLK_MY_TIMDEL/233.08, HCLK_MY_TIMDEL/246.96, HCLK_MY_TIMDEL/261.63, //C_4 HCLK_MY_TIMDEL/277.18, HCLK_MY_TIMDEL/293.33, HCLK_MY_TIMDEL/311.13, HCLK_MY_TIMDEL/329.63, HCLK_MY_TIMDEL/349.23, HCLK_MY_TIMDEL/369.99, HCLK_MY_TIMDEL/392, HCLK_MY_TIMDEL/415.30, HCLK_MY_TIMDEL/440, HCLK_MY_TIMDEL/466.16, HCLK_MY_TIMDEL/493.88, HCLK_MY_TIMDEL/523.25, //C_5 HCLK_MY_TIMDEL/554.36, HCLK_MY_TIMDEL/587.32, HCLK_MY_TIMDEL/622.26, HCLK_MY_TIMDEL/659.26, HCLK_MY_TIMDEL/698.46, HCLK_MY_TIMDEL/739.98, HCLK_MY_TIMDEL/784, HCLK_MY_TIMDEL/830.60, HCLK_MY_TIMDEL/880, HCLK_MY_TIMDEL/932.32, HCLK_MY_TIMDEL/987.75, 0 // };

システムタイマーを使用してノートの長さを測定します。これが最も簡単な方法です。 1分あたりの所定のビート速度（ミュージシャンとして私はより馴染みがある）で、最大16分の音符を測定できるように設定します。

16番目の一時停止

 #define TactSpeed 60 //  . //------------------------------------------------- //  . //------------------------------------------------- void Init_SysTick (void) { SysTick->LOAD = 80000000*60*4/TactSpeed/16; //80000000*60*4/TactSpeed -   . //   . SysTick->CTRL |= CLKSOURCE|TCKINT|ENABLE; } volatile uint32_t Delay_dec = 0; void Delay (uint32_t Delay_Data) //    SysTick . { Delay_dec = Delay_Data; while (Delay_dec) {}; } void SysTick_Handler (void) { if (Delay_dec!=0) Delay_dec--; }

次のステップでは、データを取得する場所を決定する必要があります。いくつかのオプションを試した後、自分の好みに最も近いものを選びました。彼は最も単純です。メロディ準備アルゴリズムは次のとおりです。

MIDI形式の曲をダウンロードします。 1つのチャネルで（または、後で選択できるように）。テストとしてElfen Lied-Liliumをダウンロードしました（プロジェクトファイルとともにgithubで入手可能）。
次に、MIDIをノート/ポーズ番号とその継続時間で構成される配列に変換する必要があります。これを行うには、Ringtone Editor v2.2プログラム（プロジェクトファイルにも添付されています）をダウンロードします。それから、siemeans形式のテキストファイルを取得します。
プログラムに関する少しの助け。
- プログラムをオンにして、MIDIファイルを開きます。多数のチャネルがある場合は、1つ選択します。約クリック
- その後、作成されたトラックのテキストノートが表示されます。メモの名前とその長さで構成されます。その形式で。
- 作曲を聞くことができます。気に入らない場合は、音符を編集できます（メロディが2つの部分に均等に分割されていない場合に便利です）。作曲には16分以上の音符が含まれている必要があることに注意してください（ドットが付いた16分音符を除く。作成するには、16分音符に30秒を追加する必要があり、そのためにはタイマー設定を変更する必要があります）。また、音符は3オクターブ以内に収まる必要があります。
- メモを編集するには、マウスの左ボタン（四角形で強調表示されます）でメモをクリックし、Ctrlを押しながらキーボードの上矢印または下矢印を押す必要があります。
  
  編集（メロディーの編集とトリミング）後、LiliumPRというファイル（githubのプロジェクトファイルに追加）を取得しました。
- その後、ファイルをテキスト形式で保存します（githubのファイルINPUT.txt）
前述したように、プログラムは独自の形式でデータを生成します。この例のすべてを手動で（メモごとに）変換するのではなく、作業を簡単にするために、受信したデータを必要な配列に変換するプログラムを作成しました：note / duration。
ここに彼女のコードがあります
プログラムPr;
var入力：charのファイル。 //ここから読みます。
DataST：文字列; //メモを解析するためのバッファ。
BufChar：char; //文字ごとの読み取り用のバッファ。
ループ：整数; //ノートの数。
BufNOT：バイト; // 1つのノート/ノート時間の値。
MESNOT：バイトの配列[0..5000、0..1]。 //最大5000音の配列。
I：整数; //カウンターカウンター。
始める
assign（入力、「INPUT.txt」）; リセット（入力）; //読み取り用のファイルを含めます。
ループ：= 0;
while of Eof（input）do //ファイルの最後まで読み取ります。
始める
DataST：= '';
while 1 = 1 do //スペースに読み込みます。
始める
読み取り（入力、BufChar）; //文字を読み取ります。
if（BufChar <> ''）then DataST：= DataST + BufChar // null文字でない場合-追加。
それ以外の場合は壊れます。 //それ以外の場合、終了します。
終了;

case DataST [1] of //メモを解析します。
'C'：if（DataST [2] = 'i'）then Begin //メモがDoの場合は、＃を見てください。
if（DataST [4] = '1'）then BufNOT：= 1 //＃が小さなオクターブになるまで。
else if（DataST [4] = '2'）then BufNOT：= 13 //＃が最初のオクターブになるまで。
else if（DataST [4] = '3'）then BufNOT：= 25 //＃が2番目のオクターブになるまで。
他の終了
if（DataST [2] = '1'）then BufNOT：= 0 //まで-小さなオクターブ。
else if（DataST [2] = '2'）then BufNOT：= 12 //まで-最初のオクターブ。
else if（DataST [2] = '3'）then BufNOT：= 24 End; //前-2番目のオクターブ。

'D'：if（DataST [2] = 'i'）then Begin //ノートがReの場合
if（DataST [4] = '1'）then BufNOT：= 3
else if（DataST [4] = '2'）then BufNOT：= 15
else if（DataST [4] = '3'）then BufNOT：= 27
他の終了
if（DataST [2] = '1'）then BufNOT：= 2
else if（DataST [2] = '2'）then BufNOT：= 14
else if（DataST [2] = '3'）then BufNOT：= 26 End;

'E'：if（DataST [2] = '1'）then BufNOT：= 4 //ノートがMiの場合（シャープは「持っていない」）。
else if（DataST [2] = '2'）then BufNOT：= 16
else if（DataST [2] = '2'）then BufNOT：= 28;

'F'：if（DataST [2] = 'i'）then Begin //ノートがFaの場合
if（DataST [4] = '1'）then BufNOT：= 6
else if（DataST [4] = '2'）then BufNOT：= 18
else if（DataST [4] = '3'）then BufNOT：= 30 End
他の始まり
if（DataST [2] = '1'）then BufNOT：= 5
else if（DataST [2] = '2'）then BufNOT：= 17
else if（DataST [2] = '3'）then BufNOT：= 29 End;

'G'：if（DataST [2] = 'i'）then Begin //ノートがSolの場合
if（DataST [4] = '1'）then BufNOT：= 8
else if（DataST [4] = '2'）then BufNOT：= 20
else if（DataST [4] = '3'）then BufNOT：= 32 End
他の始まり
if（DataST [2] = '1'）then BufNOT：= 7
else if（DataST [2] = '2'）then BufNOT：= 19
else if（DataST [2] = '3'）then BufNOT：= 31 End;

'A'：if（DataST [2] = 'i'）then Begin //ノートがAの場合
if（DataST [4] = '1'）then BufNOT：= 10
else if（DataST [4] = '2'）then BufNOT：= 22
else if（DataST [4] = '3'）then BufNOT：= 34 End
他の始まり
if（DataST [2] = '1'）then BufNOT：= 9
else if（DataST [2] = '2'）then BufNOT：= 21
else if（DataST [2] = '3'）then BufNOT：= 33 End;

'B'：if（DataST [2] = '1'）then BufNOT：= 11 // C.
else if（DataST [2] = '2'）then BufNOT：= 23
else if（DataST [2] = '2'）then BufNOT：= 35;
'P'：BufNOT：= 36; //「一時停止」の場合。
終了;

MESNOT [ループ] [0]：= BufNOT; //ノート番号を保存します。

if（DataST [length（DataST）-1] <> '。'）then //「ポイントなし」ノートの持続時間を計算します（16分の1）。
ケースDataST [長さ（DataST）-1]
'1'：BufNOT：= 16;
'2'：BufNOT：= 8;
'4'：BufNOT：= 4;
'8'：BufNOT：= 2;
終わり
他に
case DataST [length（DataST）-2] of //ドット付きの音符の長さ（16分の1）。
'1'：BufNOT：= 20;
'2'：BufNOT：= 12;
'4'：BufNOT：= 6;
'8'：BufNOT：= 3;
終わり;

MESNOT [ループ] [1]：= BufNOT; //期間を保存します。

ループ：=ループ+ 1;
終了;

writeln（ '//メモの配列'）; //配列を作成します。
write（ 'uint8_t MusicNote ['、Loop + 1、 '] [2] = {'）;
for I：= 0からLoop-1まで書き込みを開始（MESNOT [I] [0]、 '、'、MESNOT [I] [1]）;
if（I <>（Loop-1））then write（ '、'）;
終了;
書き込み（ '};'）;

終了。

パスカルABCのプログラム。ソースコードは、メインプロジェクトと共にリポジトリのpasディレクトリにあります。入力INPUT.txtはプログラムフォルダにある必要があります。

私はそのような配列を得た。

 // . uint8_t MusicNote [30][2] = {18,2, 25,2, 20,6, 21,2, 21,4, 18,2, 25,2, 20,6, 21,2, 23,2, 21,2, 18,8, 36,2, 20,2, 16,2, 14,2, 16,8, 36,2, 18,2, 14,2, 13,2, 14,2, 16,2, 18,6, 20,2, 21,2, 23,2, 21,8, 20,4};

これでメモの配列ができました。 それを再生するだけです。

 int main (void) { HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2(); //  1. Init_SysTick(); while (1) { for (uint32_t PL = 0; PL < sizeof(Play_museic)/2; PL++) { SM_Ton(music_books[Play_museic[PL][0]]); Delay(Play_museic[PL][1]); } } }

プロジェクトファイルと結果のオーディオファイルはgithubで取得できます。

ポリフォニック音楽カードを作成します。

ワンボイスミュージカルカードを作成しました。しかし、もっと欲しい。タスクを複雑にしましょう。コントローラーにポリフォニックメロディーを演奏させます。私たちの仕事の例を作りましょう。 2つのチャネルがあります。それらを再生します。

質問：2つ以上の波を混合する方法は？思い出すように、この記事では、音波を生成する方法を検討しました。重ね合わせの原理もそこに示されました。じゃあ課す方法は知っていますが、整理する方法は？私は次の方法で行った：

2048個の要素の配列を作成します（多かれ少なかれ取ることができますが、重要ではありません）。
私にはこんな感じです。
```
 uint16_t BufferData [1024*2]; //    . 
```

DMAが固定周波数でこの配列を無限に生成するように、前のレッスンのタイマーを構成します（このようにして、タイマーで「ゲーム」から解放されます）。私のタイマーは80 MHzの周波数に依存しています（実際、もっと遅い速度で十分ですが、使用する場合は突然、タスクは非常に困難になります。より低い周波数での再作成は難しくありません）。出力速度は32000 Hzです。

これがタイマー設定機能の外観です。

 //     2048 .  32000 . void Init_TIMER1_to_DMA_and_DAC2_for_BUFFER (void) { RST_CLK->PER_CLOCK |= PER_CLOCK_TIMER1_ONCLK|PER_CLOCK_TIMER2_ONCLK; //   1  2. RST_CLK->TIM_CLOCK = 0; //  . //  800000000 /32000  = 2500. TIMER1->ARR = 2500; // ... TIMER1->DMA_RE |= DMA_RE_CNT_ARR_EVENT_RE; //  DMA. TIMER2->ARR = 2500*512/128; //   . TIMER2->IE = TIMERx_IE_CNT_ARR_EVENT_IE; //   . TIMER2->PSG = 128-1; //   128. TIMER2->STATUS=0; //  . NVIC->ISER[0] = 1<<15; //    2. TIMER1->CNTRL = CNTRL_CNT_EN; //  . TIMER2->CNTRL = CNTRL_CNT_EN; RST_CLK->TIM_CLOCK = TIM_CLOCK_TIM1_CLK_EN|TIM_CLOCK_TIM2_CLK_EN; //    . }

DMA構成関数では、アレイの名前以外はすべて同じままにします。

ここで、上で作成したものを使用します。

 struct DAC_ST { uint32_t Destination_end_pointer; //   . uint32_t Source_end_pointer; //    uint32_t channel_cfg; // . uint32_t NULL; // . } __align(1024) DAC_ST; //    1024 . struct DAC_ST DAC_ST_ADC[32+32]; //     . /// = 16 , / = 16 ,  , 50 , -. uint32_t DMA_DAC_InitST_PR = dst_src|src_inc|src_size|dst_size|n_minus_1|cycle_ctrl; uint32_t DMA_DAC_InitST_ALT = dst_src|src_inc|src_size|dst_size|n_minus_1|cycle_ctrl; //------------------------------------------------- // DMA    DAC. //------------------------------------------------- void DMA_to_DAC_and_TIM1 (void) { //  . DAC_ST_ADC[10-1].Destination_end_pointer = (uint32_t)BufferData + (sizeof(BufferData))/2 - 1; //      (C_4 -      100 ). DAC_ST_ADC[10-1].Source_end_pointer = (uint32_t)&(DAC->DAC2_DATA); //   ( )   (  DAC). DAC_ST_ADC[10-1].channel_cfg = (uint32_t)(DMA_DAC_InitST_PR); //   . DAC_ST_ADC[10-1].NULL = (uint32_t)0; // . //  . DAC_ST_ADC[10-1+32].Destination_end_pointer = (uint32_t)BufferData + sizeof(BufferData) - 1; //     (C_4 -      100 ). DAC_ST_ADC[10-1+32].Source_end_pointer = (uint32_t)&(DAC->DAC2_DATA); //   ( )   (  DAC). DAC_ST_ADC[10-1+32].channel_cfg = (uint32_t)(DMA_DAC_InitST_ALT); //   . DAC_ST_ADC[10-1+32].NULL = (uint32_t)0; // . //  DMA. RST_CLK->PER_CLOCK|=PCLK_EN_DMA; //  DMA. DMA->CTRL_BASE_PTR = (uint32_t)&DAC_ST_ADC; //   . DMA->CFG = CFG_master_enable; //  DMA. // . DMA->CHNL_ENABLE_SET = 1<<10; //  10 . }

次に、チャネル構造の設定で異なる送信数を指定する必要があります（プライマリおよび代替の両方の設定は、前の記事と同じ設定です）。前回の記事では、100個の値の配列を使用しました。ここで、使用可能な1024個すべてを使用します（中断の頻度が少なくなることを期待して）。
構造が変更されました。
```
 //------------------------------------------------- // . //------------------------------------------------- #define dst_src (3<<30) // - 16  (). #define src_inc (1<<26) //   16    . #define src_size (1<<24) //  16 . #define dst_size (1<<28) //  16 .       . #define n_minus_1 ((1024-1)<<4) //1024  (-1) DMA. #define cycle_ctrl (3<<0) //-. 
```

次のステップは、配列をどのように埋めるかを決定することです。最初のアイデアは、MKで各期間の波形値を直接生成することでした。しかし、実際に示されているように、このタスクには80 MHzでも十分ではありません（同時に、送信済みのセルに新しい値を発行して入力するには）。おそらく、解決策を見つけてMK内で生成できますが、私は成功しませんでした。そうすることにしました。 DACの値が変化する特定の周波数に対して、3オクターブの範囲で各音の値のセットを生成するプログラムを作成しました。 MKでこれらの値をバッファにコピーし、あらゆる方法で変更できます。

プログラムコード。 パスカルABCで書かれています。

 Program Sin_wav_Gener; Var DAC_CLK: word; //   DAC. Loop: word; //   . PR: real; // . I: word; //. ISIN: byte; //  . GR: byte; // . MesVoln: array [0..100000] of integer; //   . MesSM: array [0..35] of word; //. MesKOL: array [0..35] of word; //  . const SinTON: array [0..35] of real = (130.82, 138.59, 147.83, 155.56, 164.81, 174.62, 185, 196, 207, 220, 233.08, 246.96, 261.63, 277.18, 293.33, 311.13, 329.63, 349.23, 369.99, 392, 415.30, 440, 466.16, 493.88, 523.25, 554.36, 587.32, 622.26, 659.26, 698.46, 739.98, 784, 830.60, 880, 932.32, 987.75); Begin Loop := 0; //   . write('  DAC: '); readln(DAC_CLK); //   DAC. write('  (1..50): '); readln(GR);// . for ISIN:=0 to 35 do //    36 . Begin PR:=DAC_CLK/SinTON[ISIN]/2; //  . MesSM[ISIN]:=Loop; //. MesKOL[ISIN]:=Round(PR*2)+1; //   . for I:=0 to Round(PR*2) do // . Begin MesVoln[Loop]:=Round(GR+GR*sin(I*pi/PR)); Loop:=Loop+1; End; End; writeln('//     0..35.'); write('const uint16_t MesKOL [36] = {'); for I:=0 to 35 do Begin write(MesKOL[I]); if (I <> 35) then write (', '); End; writeln('};'); writeln('//    0..35.'); write('const uint16_t MesSM [36] = {'); for I:=0 to 35 do Begin write(MesSM[I]); if (I <> 35) then write (', '); End; writeln('};'); writeln('//  .'); write('const uint8_t SinMES [', Loop+1, '] = {'); for I:=0 to Loop-1 do Begin write(MesVoln[I]); if (I <> Loop-1) then write (', '); End; writeln('};'); End.

プログラムの例。

   DAC: 32000   (1..50): 10 //     0..35. const uint16_t MesKOL [36] = {246, 232, 217, 207, 195, 184, 174, 164, 156, 146, 138, 131, 123, 116, 110, 104, 98, 93, 87, 83, 78, 74, 70, 66, 62, 59, 55, 52, 50, 47, 44, 42, 40, 37, 35, 33}; //    0..35. const uint16_t MesSM [36] = {0, 246, 478, 695, 902, 1097, 1281, 1455, 1619, 1775, 1921, 2059, 2190, 2313, 2429, 2539, 2643, 2741, 2834, 2921, 3004, 3082, 3156, 3226, 3292, 3354, 3413, 3468, 3520, 3570, 3617, 3661, 3703, 3743, 3780, 3815}; //  . const uint8_t SinMES [3849] = {10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 8, 8, 7, 7, 6, 6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 12, 12, 11, 10, 10, 9, 8, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 13, 13, 12, 11, 11, 10, 9, 9, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 10, 11, 11, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 17, 17, 16, 16, 15, 14, 14, 13, 12, 12, 11, 10, 9, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 8, 8, 7, 6, 5, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 12, 11, 10, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 15, 14, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 17, 17, 16, 15, 14, 13, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 8, 7, 6, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 10, 9, 8, 7, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 6, 7, 8, 9, 11, 10, 11, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 11, 10, 9, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 8, 9, 10, 10, 11, 13, 14, 15, 17, 18, 19, 19, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 12, 11, 9, 8, 7, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 10, 12, 13, 14, 16, 17, 18, 19, 19, 20, 20, 20, 20, 19, 18, 17, 16, 15, 14, 12, 11, 9, 8, 6, 5, 4, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 7, 9, 10, 10, 12, 13, 15, 16, 17, 18, 19, 20, 20, 20, 20, 19, 19, 18, 16, 15, 14, 12, 10, 9, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 9, 11, 10, 12, 13, 15, 16, 18, 19, 19, 20, 20, 20, 19, 19, 18, 17, 15, 14, 12, 10, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 12, 14, 15, 17, 18, 19, 20, 20, 20, 20, 19, 18, 17, 15, 14, 12, 10, 8, 7, 5, 4, 2, 1, 1, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 17, 18, 19, 20, 20, 20, 19, 18, 17, 16, 14, 12, 10, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 1, 2, 4, 6, 7, 9};

各波には独自の周期があるため（音が高いほど周期は短くなります）、周波数が高くなると、波ごとの値の数は常に減少します。混乱しないように、プログラムは「オフセット」の配列（波の最初の要素のアドレス）と各波の長さの配列を生成します。

次に、2番目のタイマーで割り込み関数を変更する必要があります（構造の割り込み変更）。ここで、すでに転送されたセルのカウンターを追加する必要があります。 512転送ごとに中断が安定して発生することがわかっています。したがって、各割り込み中に、すでに転送された512ブロックの上書きを許可できます。

変更された割り込みコードは次のとおりです。

 #define ST_Play_P (DAC_ST_ADC[10-1].channel_cfg & (1023<<4)) //       . #define ST_Play_ALT (DAC_ST_ADC[10-1+32].channel_cfg & (1023<<4)) //       . uint16_t LoopBUFData = 0; //    . void Timer2_IRQHandler (void) // . { if ((ST_Play_P == 0) && (ST_Play_ALT <= ((1024-2)<<4))) //         -   2-. { DAC_ST_ADC[10-1].channel_cfg = (uint32_t)(DMA_DAC_InitST_PR); //   . }; if ((ST_Play_ALT == 0) && (ST_Play_P <= ((1024-2)<<4))) { DAC_ST_ADC[10-1+32].channel_cfg = (uint32_t)(DMA_DAC_InitST_ALT); //. } LoopBUFData=512; //  512 . DMA->CHNL_ENABLE_SET = 1<<10; //  . TIMER2->STATUS=0; // ,       . }

さらに、テストのために、バッファ内のN番目の波の値を記録する関数を記述しようとします。同時に、すでに記録されているセルは消去せず、転送したセルは消去しないように注意してください。

彼女はこんな感じ。

 uint16_t BufferIndex = 0; //     . uint16_t LoopSin = 0; //      . uint16_t WavTon_BF; //   .          -      ,     -  . void Bufheck (uint16_t LoopSIN, uint16_t WavTon) //   LoopSIN  WavTon ( )  DAC-. { if (WavTon_BF!=WavTon) {WavTon_BF=WavTon; LoopSin=0;}; //    -   . for (uint16_t LoopZL = 0; LoopZL<LoopSIN; LoopZL++) //     . { while (LoopBUFData == 0) {}; //,     . if (LoopSin<MesKOL[WavTon]) //      -   . { BufferData[BufferIndex]=SinMES[LoopSin+MesSM[WavTon]]; // . LoopSin++; //    . BufferIndex++; if (BufferIndex == (1024*2)) BufferIndex = 0; //      -   . LoopBUFData--; //,     . } else LoopSin=0; } }

メイン機能をセットアップします。

 #include "main.h" uint8_t Play_museic [30][2] = {18,2, 25,2, 20,6, 21,2, 21,4, 18,2, 25,2, 20,6, 21,2, 23,2, 21,2, 18,8, 36,2, 20,2, 16,2, 14,2, 16,8, 36,2, 18,2, 14,2, 13,2, 14,2, 16,2, 18,6, 20,2, 21,2, 23,2, 21,8, 20,4}; //     0..35. const uint16_t MesKOL [36] = {246, 232, 217, 207, 195, 184, 174, 164, 156, 146, 138, 131, 123, 116, 110, 104, 98, 93, 87, 83, 78, 74, 70, 66, 62, 59, 55, 52, 50, 47, 44, 42, 40, 37, 35, 33}; //    0..35. const uint16_t MesSM [36] = {0, 246, 478, 695, 902, 1097, 1281, 1455, 1619, 1775, 1921, 2059, 2190, 2313, 2429, 2539, 2643, 2741, 2834, 2921, 3004, 3082, 3156, 3226, 3292, 3354, 3413, 3468, 3520, 3570, 3617, 3661, 3703, 3743, 3780, 3815}; //  . const uint8_t SinMES [3849] = {15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 28, 27, 27, 27, 27, 27, 26, 26, 26, 26, 25, 25, 25, 24, 24, 24, 23, 23, 23, 22, 22, 22, 21, 21, 21, 20, 20, 20, 19, 19, 19, 18, 18, 17, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 25, 25, 25, 25, 24, 24, 24, 23, 23, 23, 22, 22, 21, 21, 21, 20, 20, 20, 19, 19, 18, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 25, 25, 25, 24, 24, 24, 23, 23, 23, 22, 22, 21, 21, 21, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 25, 25, 25, 24, 24, 24, 23, 23, 22, 22, 22, 21, 21, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 25, 25, 24, 24, 24, 23, 23, 22, 22, 22, 21, 21, 20, 20, 19, 19, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 27, 27, 26, 26, 26, 25, 25, 24, 24, 24, 23, 23, 22, 22, 21, 21, 20, 20, 19, 19, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 27, 26, 26, 26, 25, 25, 24, 24, 23, 23, 23, 22, 22, 21, 21, 20, 20, 19, 19, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 26, 26, 26, 25, 25, 24, 24, 23, 23, 23, 22, 21, 21, 20, 20, 19, 19, 18, 18, 17, 17, 16, 15, 15, 14, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 19, 19, 20, 20, 21, 21, 22, 23, 23, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 28, 28, 27, 27, 26, 26, 26, 25, 25, 24, 24, 23, 23, 22, 22, 21, 21, 20, 19, 19, 18, 18, 17, 16, 16, 15, 15, 14, 13, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 15, 15, 15, 16, 16, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 28, 27, 27, 27, 26, 26, 25, 25, 24, 24, 23, 23, 22, 22, 21, 21, 20, 19, 19, 18, 17, 17, 16, 15, 15, 14, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 16, 17, 18, 18, 19, 20, 20, 21, 22, 22, 23, 23, 24, 25, 25, 26, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 29, 28, 28, 28, 27, 27, 26, 26, 25, 25, 24, 24, 23, 23, 22, 21, 21, 20, 19, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 12, 11, 11, 10, 9, 9, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 16, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 24, 25, 26, 26, 26, 27, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 28, 27, 27, 26, 26, 25, 25, 24, 24, 23, 22, 22, 21, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 13, 13, 12, 11, 11, 10, 9, 9, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 15, 15, 16, 17, 17, 18, 19, 20, 20, 21, 22, 22, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 27, 27, 27, 26, 26, 25, 24, 24, 23, 22, 22, 21, 20, 20, 19, 18, 17, 17, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 8, 8, 7, 6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 27, 27, 26, 26, 25, 25, 24, 23, 23, 22, 21, 20, 20, 19, 18, 17, 16, 16, 15, 14, 13, 12, 12, 11, 10, 9, 8, 8, 7, 6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 27, 27, 26, 26, 25, 24, 24, 23, 22, 21, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 10, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 24, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 29, 28, 28, 27, 27, 26, 25, 25, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 28, 28, 27, 27, 26, 25, 24, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, 25, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 29, 29, 29, 28, 28, 27, 27, 26, 25, 24, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 29, 29, 28, 28, 27, 27, 26, 25, 24, 23, 23, 22, 21, 20, 19, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 29, 29, 29, 28, 28, 27, 26, 25, 24, 23, 23, 21, 20, 19, 18, 17, 16, 15, 14, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 27, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 29, 29, 28, 28, 27, 26, 26, 25, 24, 23, 22, 20, 19, 18, 17, 16, 14, 13, 12, 11, 10, 9, 7, 6, 5, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 26, 27, 28, 29, 29, 29, 30, 30, 30, 30, 30, 30, 29, 29, 28, 27, 27, 26, 25, 24, 23, 22, 21, 19, 18, 17, 15, 14, 13, 12, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 15, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 28, 29, 29, 30, 30, 30, 30, 30, 29, 29, 29, 28, 27, 26, 25, 24, 23, 22, 21, 19, 18, 17, 15, 14, 13, 11, 10, 9, 8, 6, 5, 4, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 15, 16, 18, 19, 21, 22, 23, 24, 26, 26, 27, 28, 29, 29, 30, 30, 30, 30, 30, 29, 29, 28, 28, 27, 26, 25, 24, 22, 21, 20, 18, 17, 16, 14, 13, 11, 10, 9, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 15, 17, 18, 20, 21, 22, 24, 25, 26, 27, 28, 29, 29, 30, 30, 30, 30, 30, 29, 29, 28, 27, 27, 26, 24, 23, 22, 20, 19, 17, 16, 14, 13, 11, 10, 8, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 15, 17, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29, 29, 30, 30, 30, 30, 29, 29, 28, 27, 26, 25, 24, 23, 21, 20, 18, 16, 15, 13, 12, 10, 8, 7, 6, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 15, 17, 18, 20, 22, 23, 25, 26, 27, 28, 29, 29, 30, 30, 30, 30, 29, 29, 28, 27, 26, 25, 24, 22, 20, 19, 17, 15, 14, 12, 10, 9, 7, 6, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 17, 19, 20, 22, 24, 25, 26, 27, 28, 29, 30, 30, 30, 30, 29, 29, 28, 27, 26, 25, 23, 22, 20, 18, 16, 14, 13, 11, 9, 7, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 19, 21, 22, 24, 26, 27, 28, 29, 29, 30, 30, 30, 30, 29, 28, 27, 26, 24, 23, 21, 19, 17, 16, 14, 12, 10, 8, 6, 5, 4, 2, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 15, 17, 19, 21, 23, 24, 26, 27, 28, 29, 30, 30, 30, 30, 29, 28, 27, 26, 24, 23, 21, 19, 17, 15, 13, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 11, 13, 15, 15, 17, 19, 21, 23, 25, 26, 28, 29, 29, 30, 30, 30, 29, 28, 27, 26, 24, 23, 21, 19, 16, 14, 12, 10, 8, 6, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 10, 12, 14, 15, 17, 20, 22, 24, 25, 27, 28, 29, 30, 30, 30, 29, 29, 28, 26, 24, 23, 20, 18, 16, 14, 11, 9, 7, 5, 4, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 13, 15, 15, 17, 20, 22, 24, 26, 27, 29, 29, 30, 30, 30, 29, 28, 26, 25, 23, 20, 18, 16, 13, 11, 9, 6, 5, 3, 2, 1, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 14, 16, 15, 18, 20, 22, 25, 26, 28, 29, 30, 30, 30, 29, 28, 27, 25, 23, 21, 18, 15, 13, 10, 8, 6, 4, 2, 1, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 14, 15, 18, 20, 23, 25, 27, 28, 29, 30, 30, 29, 29, 27, 25, 23, 21, 18, 15, 13, 10, 8, 5, 3, 2, 1, 0, 0, 0, 1, 3, 4, 6, 9, 11, 14, 15, 18, 21, 23, 26, 27, 29, 30, 30, 30, 29, 28, 26, 24, 21, 18, 16, 13, 10, 7, 5, 3, 1, 0, 0, 0, 1, 2, 4, 6, 8, 11, 14}; extern uint16_t Sound_exhaust; //  . int main (void) { HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . HSE_PLL(10); //8 -> 80. Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2_for_BUFFER(); //     . while (1) { for (uint16_t LoopNotN = 0; LoopNotN<36; LoopNotN++) Bufheck(0xFFF, LoopNotN); } }

, github .

. — . , ( ) 1/64 ( 64-). .

 //  32000 . 32000   . //  120   .   60 . //=>   600/60   . //  1  - 4/4 ( ).   4 . //=>1  = 4 . //  64-. 32000   * 4 / 64  // = 2000    .

 uint16_t BufferIndex = 0; //     . uint16_t LoopSin, LoopSin1; //      . uint8_t WavTon_BF1, WavTon_BF2; // "" .   ,           -    "",  . void NoteBUF (uint8_t NambeN1, uint8_t NambeN2) { //  32000 . 32000   . //  120   .   60 . //=>   600/60   . //  1  - 4/4 ( ).   4 . //=>1  = 4 . //  64-. 32000   * 4 / 64  // = 2000    . if (WavTon_BF1!=NambeN1) {WavTon_BF1=NambeN1; LoopSin=0;}; //    -    . if (WavTon_BF2!=NambeN2) {WavTon_BF2=NambeN2; LoopSin1=0;}; for (uint16_t Del16 = 0; Del16<2000; Del16++) // 64-. { while (LoopBUFData == 0) {}; //,     . BufferData[BufferIndex]=SinMES[LoopSin+MesSM[NambeN1]]+SinMES[LoopSin1+MesSM[NambeN2]]; // .    2 . LoopSin++; LoopSin1++; //    . if (LoopSin==MesKOL[NambeN1]) LoopSin=0; //    1-  -   . if (LoopSin1==MesKOL[NambeN2]) LoopSin1=0; //   . BufferIndex++; if (BufferIndex == (1024*2)) BufferIndex = 0; //      -   . LoopBUFData--; //,     . } }

最初に、正弦波の周期（それぞれ別々に）が経過したかどうかを確認します。期間が経過した場合（カウンターは正弦波の終わりまでカウントした）、最初から始めます。
```
  if (WavTon_BF1==NambeN1) {WavTon_BF1=NambeN1; LoopSin=0;}; //    -    . if (WavTon_BF2==NambeN2) {WavTon_BF2=NambeN2; LoopSin=0;}; 
```
次に、2,000個の値を転送します。16分の1の持続時間を持つサウンドを生成するには、DMA値の正確な変更が必要であると計算したためです。
```
 for (uint16_t Del16 = 0; Del16<2000; Del16++) // . 
```
次に、空きセルを確認します。ない場合は、待っています。
```
 while (LoopBUFData == 0) {}; //,     . 
```

さらに最も興味深い。波のオーバーレイ。次のように作成されます。

 BufferData[BufferIndex]=SinMES[LoopSin+MesSM[NambeN1]]+SinMES[LoopSin1+MesSM[NambeN2]]; // .

各波から1つの値を送信したことを示します。期間が過ぎたら、最初から始めます。

 LoopSin++; LoopSin1++; //    . if (LoopSin>MesKOL[NambeN1]) LoopSin=0; //    1-  -   . if (LoopSin1>MesKOL[NambeN2]) LoopSin1=0; //   .

 BufferIndex++; if (BufferIndex == (1024*2)) BufferIndex = 0; //      -   . LoopBUFData--; //,     .

, , . .

 int main (void) { HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . HSE_PLL(10); //8 -> 80. Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2_for_BUFFER(); //     . while (1) { for (uint8_t NN0 = 0; NN0<36; NN0++) { for (uint8_t NN1 = 0; NN1<36; NN1++) { for (uint8_t POV = 0; POV<8; POV++) NoteBUF(NN0, NN1); } } } }

github

. ( ). , . , Ringtone Editor. , . , «» . + .

- INPUT.TXT .

 Program Pr; var input: file of char; // . DataST: string; //   . BufChar: char; //   . Loop: integer; // . BufNOT: byte; //   / . MESNOT: array [0..1000, 0..1] of byte; //  10000 . I: integer; //-. Begin assign(input, 'INPUT.txt'); reset(input); //   . Loop:=0; while not Eof(input) do //   . Begin DataST:=''; while 1=1 do //  . Begin read(input, BufChar); // . if (BufChar <> ' ') then DataST:=DataST+BufChar //    - . else break; // - . End; case DataST[1] of // . 'C': if (DataST[2] = 'i') then Begin //  ,    #. if (DataST[4] = '1') then BufNOT:=1 //# -  . else if (DataST[4] = '2') then BufNOT:=13 //# -  . else if (DataST[4] = '3') then BufNOT:=25 //# -  . else if (DataST[4] = '4') then BufNOT:=37 //# -  . End else Begin if (DataST[2] = '1') then BufNOT:=0 // -  . else if (DataST[2] = '2') then BufNOT:=12 // -  . else if (DataST[2] = '3') then BufNOT:=24 // -  . else if (DataST[2] = '4') then BufNOT:=36 End; 'D': if (DataST[2] = 'i') then Begin //  . if (DataST[4] = '1') then BufNOT:=3 else if (DataST[4] = '2') then BufNOT:=15 else if (DataST[4] = '3') then BufNOT:=27 else if (DataST[4] = '4') then BufNOT:=39 End else Begin if (DataST[2] = '1') then BufNOT:=2 else if (DataST[2] = '2') then BufNOT:=14 else if (DataST[2] = '3') then BufNOT:=26 else if (DataST[2] = '4') then BufNOT:=38 End; 'E': if (DataST[2] = '1') then BufNOT:=4 //   ( " "). else if (DataST[2] = '2') then BufNOT:=16 else if (DataST[2] = '3') then BufNOT:=28 else if (DataST[2] = '4') then BufNOT:=40; 'F': if (DataST[2] = 'i') then Begin //  . if (DataST[4] = '1') then BufNOT:=6 else if (DataST[4] = '2') then BufNOT:=18 else if (DataST[4] = '3') then BufNOT:=30 else if (DataST[4] = '4') then BufNOT:=42 End else Begin if (DataST[2] = '1') then BufNOT:=5 else if (DataST[2] = '2') then BufNOT:=17 else if (DataST[2] = '3') then BufNOT:=29 else if (DataST[2] = '4') then BufNOT:=41 End; 'G': if (DataST[2] = 'i') then Begin //  . if (DataST[4] = '1') then BufNOT:=8 else if (DataST[4] = '2') then BufNOT:=20 else if (DataST[4] = '3') then BufNOT:=32 else if (DataST[4] = '4') then BufNOT:=44 End else Begin if (DataST[2] = '1') then BufNOT:=7 else if (DataST[2] = '2') then BufNOT:=19 else if (DataST[2] = '3') then BufNOT:=31 else if (DataST[2] = '4') then BufNOT:=43 End; 'A': if (DataST[2] = 'i') then Begin //  . if (DataST[4] = '1') then BufNOT:=10 else if (DataST[4] = '2') then BufNOT:=22 else if (DataST[4] = '3') then BufNOT:=34 else if (DataST[4] = '4') then BufNOT:=46 End else Begin if (DataST[2] = '1') then BufNOT:=9 else if (DataST[2] = '2') then BufNOT:=21 else if (DataST[2] = '3') then BufNOT:=33 else if (DataST[2] = '4') then BufNOT:=45 End; 'B': if (DataST[2] = '1') then BufNOT:=11 //. else if (DataST[2] = '2') then BufNOT:=23 else if (DataST[2] = '3') then BufNOT:=35 else if (DataST[2] = '4') then BufNOT:=47; 'P': BufNOT:=48; //  "". End; MESNOT[Loop][0]:=BufNOT; //  . if (DataST[length(DataST)-1] = '.') then //   . Begin if (DataST[length(DataST)-3] = '/') then //     (1/1, 1/2, 1/4, 1/8). case DataST[length(DataST)-2] of '1': BufNOT:=64+32; '2': BufNOT:=32+16; '4': BufNOT:=16+8; '8': BufNOT:=8+4; end //64   ! else if (DataST[length(DataST)-3] = '3') and (DataST[length(DataST)-2] = '2') then BufNOT:=2+1 // 32-. else if (DataST[length(DataST)-3] = '1') and (DataST[length(DataST)-2] = '6') then BufNOT:=4+2; // 16-. End else Begin //   . if (DataST[length(DataST)-2] = '/') then //     (1/1, 1/2, 1/4, 1/8). case DataST[length(DataST)-1] of '1': BufNOT:=64; '2': BufNOT:=32; '4': BufNOT:=16; '8': BufNOT:=8; end else if (DataST[length(DataST)-2] = '6') and (DataST[length(DataST)-1] = '4') then BufNOT:=1 // 64-. else if (DataST[length(DataST)-2] = '3') and (DataST[length(DataST)-1] = '2') then BufNOT:=2 // 32-. else if (DataST[length(DataST)-2] = '1') and (DataST[length(DataST)-1] = '6') then BufNOT:=4; // 16-. End; MESNOT[Loop][1]:=BufNOT; // . Loop:=Loop+1; End; writeln ('// .'); // . write('uint8_t MusicNote [', Loop, '][2] = {'); for I:=0 to Loop-1 do Begin write(MESNOT[I][0], ',', MESNOT[I][1]); if (I<>(Loop-1)) then write(', '); End; write('};'); End.

+ .

 Program Sin_wav_Gener; Var DAC_CLK: word; //   DAC. Loop: word; //   . PR: real; // . I: word; //. ISIN: byte; //  . GR: byte; // . MesVoln: array [0..100000] of integer; //   . MesSM: array [0..47] of word; //. MesKOL: array [0..47] of word; //  . const SinTON: array [0..47] of real = (130.82, 138.59, 147.83, 155.56, 164.81, 174.62, 185, 196, 207, 220, 233.08, 246.96, 261.63, 277.18, 293.33, 311.13, 329.63, 349.23, 369.99, 392, 415.30, 440, 466.16, 493.88, 523.25, 554.36, 587.32, 622.26, 659.26, 698.46, 739.98, 784, 830.60, 880, 932.32, 987.75, 1046.5, 1108.7, 1174.6, 1244.5, 1318.5, 1396.9, 1480, 1568, 1661.2, 1760, 1864.6, 1975.5); Begin Loop := 0; //   . write('  DAC: '); readln(DAC_CLK); //   DAC. write('  (1..50): '); readln(GR);// . for ISIN:=0 to 47 do //    36 . Begin PR:=DAC_CLK/SinTON[ISIN]/2; //  . MesSM[ISIN]:=Loop; //. MesKOL[ISIN]:=Round(PR*2)+1; //   . for I:=0 to Round(PR*2) do // . Begin MesVoln[Loop]:=Round(GR+GR*sin(I*pi/PR)); Loop:=Loop+1; End; End; writeln('//   .'); write('const uint16_t MesKOL [49] = {'); for I:=0 to 47 do write(MesKOL[I], ', '); writeln('1};'); //  - .   1 . writeln('//   .'); write('const uint16_t MesSM [49] = {'); for I:=0 to 47 do write(MesSM[I], ', '); writeln(MesSM[47]+MesKOL[47], '};'); // "".  . writeln('//  .'); write('const uint8_t SinMES [', Loop+1, '] = {'); for I:=0 to Loop-1 do write(MesVoln[I], ', '); writeln(0, '};'); //  - "0". . End.

. 4 . : 1/1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/1., 1/2./ 1/4., 1/8., 1/16., 1/32. 1/64. いや 1/128. 1/64. = 1/64+1/128.

 // . uint8_t MusicNote [112][2] = {18,8, 25,8, 13,24, 21,8, 21,16, 18,8, 25,8, 13,24, 21,8, 23,8, 21,8, 16,32, 48,8, 20,8, 16,8, 14,8, 11,32, 10,8, 18,8, 14,8, 13,8, 14,8, 16,8, 18,24, 20,8, 21,8, 23,8, 21,32, 17,16, 18,8, 25,8, 13,24, 21,8, 21,16, 18,8, 25,8, 13,24, 21,8, 23,8, 21,8, 16,32, 48,8, 20,8, 16,8, 14,8, 11,32, 10,8, 18,8, 14,8, 13,8, 14,8, 23,8, 21,8, 20,8, 13,8, 17,8, 11,8, 17,8, 10,8, 22,8, 23,8, 25,8, 26,8, 21,8, 16,8, 26,8, 20,8, 28,8, 18,8, 25,8, 18,8, 21,8, 12,8, 18,8, 15,8, 21,16, 23,8, 17,16, 48,16, 18,8, 25,8, 13,24, 21,8, 21,16, 18,8, 25,8, 13,24, 21,8, 23,8, 21,8, 18,32, 20,8, 16,8, 14,8, 11,32, 10,8, 18,8, 14,8, 13,8, 14,8, 23,8, 21,8, 20,8, 13,8, 17,8, 15,8, 17,8, 9,24, 9,8, 11,16, 8,16, 9,64}; uint8_t MusicNote1 [120][2] = {48,16, 17,8, 25,8, 29,16, 18,8, 25,8, 30,16, 17,8, 25,8, 29,16, 18,16, 14,8, 21,8, 26,8, 28,8, 26,32, 13,8, 20,8, 25,8, 26,8, 28,32, 23,8, 30,8, 35,8, 30,8, 24,8, 27,8, 30,8, 33,8, 25,8, 30,8, 32,8, 35,24, 48,16, 17,8, 25,8, 29,16, 18,8, 25,8, 30,16, 17,8, 25,8, 29,16, 18,16, 14,8, 21,8, 26,8, 28,8, 30,32, 13,8, 20,8, 25,8, 26,8, 28,32, 23,16, 24,16, 25,16, 13,16, 18,8, 18,8, 20,8, 22,8, 23,16, 16,16, 21,16, 14,16, 15,3, 18,3, 21,3, 18,3, 21,3, 24,3, 21,3, 24,3, 27,3, 24,3, 27,3, 30,3, 25,8, 30,8, 32,8, 35,24, 48,32, 17,8, 25,8, 29,16, 18,8, 25,8, 30,16, 17,8, 25,8, 29,16, 18,16, 14,8, 21,8, 26,8, 28,8, 26,32, 13,8, 20,8, 25,8, 26,8, 28,32, 30,16, 24,16, 25,16, 13,16, 18,8, 25,8, 30,8, 25,8, 26,8, 30,8, 23,8, 30,8, 25,8, 30,8, 25,8, 18,8, 6,32}; const uint16_t MesKOL [49] = {246, 232, 217, 207, 195, 184, 174, 164, 156, 146, 138, 131, 123, 116, 110, 104, 98, 93, 87, 83, 78, 74, 70, 66, 62, 59, 55, 52, 50, 47, 44, 42, 40, 37, 35, 33, 32, 30, 28, 27, 25, 24, 23, 21, 20, 19, 18, 17, 1}; //   . const uint16_t MesSM [49] = {0, 246, 478, 695, 902, 1097, 1281, 1455, 1619, 1775, 1921, 2059, 2190, 2313, 2429, 2539, 2643, 2741, 2834, 2921, 3004, 3082, 3156, 3226, 3292, 3354, 3413, 3468, 3520, 3570, 3617, 3661, 3703, 3743, 3780, 3815, 3848, 3880, 3910, 3938, 3965, 3990, 4014, 4037, 4058, 4078, 4097, 4115, 4132}; //  . const uint8_t SinMES [4133] = {10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 8, 8, 8, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 16, 15, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 11, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 9, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 8, 7, 7, 6, 6, 5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 15, 14, 14, 13, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 8, 7, 7, 6, 6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 13, 12, 11, 11, 10, 10, 9, 8, 8, 7, 7, 6, 6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 13, 12, 12, 11, 10, 10, 9, 8, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 13, 13, 12, 11, 11, 10, 9, 9, 8, 7, 7, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 10, 11, 11, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 17, 17, 16, 16, 15, 14, 14, 13, 12, 12, 11, 10, 9, 9, 8, 7, 7, 6, 5, 5, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 8, 8, 7, 6, 5, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 12, 11, 10, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 17, 16, 15, 14, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 5, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 13, 14, 14, 15, 16, 17, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 18, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 4, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 17, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 20, 20, 19, 19, 18, 17, 17, 16, 15, 14, 13, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 8, 7, 6, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 10, 9, 8, 7, 5, 4, 3, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 6, 7, 8, 9, 11, 10, 11, 13, 14, 15, 16, 17, 18, 19, 19, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 11, 10, 9, 7, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 8, 9, 10, 10, 11, 13, 14, 15, 17, 18, 19, 19, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 12, 11, 9, 8, 7, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 10, 12, 13, 14, 16, 17, 18, 19, 19, 20, 20, 20, 20, 19, 18, 17, 16, 15, 14, 12, 11, 9, 8, 6, 5, 4, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 4, 6, 7, 9, 10, 10, 12, 13, 15, 16, 17, 18, 19, 20, 20, 20, 20, 19, 19, 18, 16, 15, 14, 12, 10, 9, 7, 6, 4, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 9, 11, 10, 12, 13, 15, 16, 18, 19, 19, 20, 20, 20, 19, 19, 18, 17, 15, 14, 12, 10, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 1, 2, 3, 5, 6, 8, 9, 10, 12, 14, 15, 17, 18, 19, 20, 20, 20, 20, 19, 18, 17, 15, 14, 12, 10, 8, 7, 5, 4, 2, 1, 1, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 17, 18, 19, 20, 20, 20, 19, 18, 17, 16, 14, 12, 10, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 1, 2, 4, 6, 7, 9, 10, 12, 14, 16, 17, 19, 19, 20, 20, 20, 19, 18, 16, 15, 13, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 10, 12, 14, 16, 18, 19, 20, 20, 20, 19, 18, 17, 15, 13, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 1, 3, 4, 6, 8, 10, 10, 12, 14, 16, 18, 19, 20, 20, 20, 19, 17, 16, 14, 11, 9, 7, 5, 3, 2, 1, 0, 0, 1, 2, 3, 5, 7, 9, 10, 12, 15, 17, 18, 19, 20, 20, 19, 18, 16, 14, 12, 10, 7, 5, 3, 2, 0, 0, 0, 1, 2, 4, 6, 8, 11, 10, 13, 15, 17, 19, 20, 20, 20, 19, 17, 15, 13, 10, 8, 5, 3, 2, 0, 0, 0, 1, 3, 4, 7, 9, 10, 13, 15, 17, 19, 20, 20, 19, 18, 16, 14, 11, 9, 6, 4, 2, 1, 0, 0, 1, 3, 5, 8, 10, 10, 13, 15, 18, 19, 20, 20, 19, 17, 15, 12, 9, 7, 4, 2, 1, 0, 0, 1, 3, 5, 8, 11, 10, 13, 16, 18, 19, 20, 20, 18, 16, 14, 11, 8, 5, 2, 1, 0, 0, 1, 3, 6, 9, 10, 13, 16, 18, 20, 20, 19, 18, 15, 12, 9, 6, 3, 1, 0, 0, 1, 3, 6, 9, 10, 13, 16, 19, 20, 20, 19, 17, 14, 10, 7, 4, 2, 0, 0, 1, 3, 6, 9, 10, 14, 17, 19, 20, 20, 18, 15, 12, 8, 5, 2, 1, 0, 1, 3, 6, 9, 10, 14, 17, 19, 20, 19, 17, 14, 10, 7, 3, 1, 0, 1, 2, 6, 9, 0}; int main (void) { HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . HSE_PLL(10); //8 -> 80. Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2_for_BUFFER(); //     . uint16_t DL1=0, DL2=0; //      . uint8_t Loop_N1=0, Loop_N2=0; //    (1-, ...). uint8_t Chenel1_P, Chenel2_P; // ,    (  ). uint8_t Flag1, Flag2; //  . while (1) { Flag1=1; Flag2=1; // . Loop_N1=0; Loop_N2=0; // . DL1=0; DL2=0; while (Flag1 | Flag2) //,     . { if (DL1 == 0) //     1-  . { if (Loop_N1<sizeof(MusicNote)/2) //     -   . { Chenel1_P = MusicNote[Loop_N1][0]; //  . DL1=MusicNote[Loop_N1][1]; // . Loop_N1++; //   . } else { Flag1=0; //    2- . Chenel1_P = 48; // "". } } if (DL2 == 0) //    . { if (Loop_N2<sizeof(MusicNote1)/2) { Chenel2_P = MusicNote1[Loop_N2][0]; DL2=MusicNote1[Loop_N2][1]; Loop_N2++; } else { Flag2=0; //    2- . Chenel2_P = 48; // "". } } NoteBUF(Chenel1_P, Chenel2_P); //   1/16. if (Flag1 != 0) DL1--; // 64-  . if (Flag2 != 0) DL2--; } } }

Ringtone Editor v2.2 ( 1'1) 2 ( ). MusicNote MusicNote1. , .
MesKOL, MesSM SinMES ( 1'1).

  HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . HSE_PLL(10); //8 -> 80. Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2_for_BUFFER(); //     .

.
```
 uint16_t DL1=0, DL2=0; //      . 
```
.

 uint8_t Loop_N1=0, Loop_N2=0; //    (1-, ...).

. 30- , 164-. .

 uint8_t Chenel1_P, Chenel2_P; // ,    (  ).

( ), . ( ), .

. . — 1. , «» — «0». , , . , , — .
```
 uint8_t Flag1, Flag2; //  . 
```

 Flag1=1; Flag2=1; // . Loop_N1=0; Loop_N2=0; // . DL1=0; DL2=0;

, — .
```
 while (Flag1 | Flag2) //,     . 
```

, , , . — . — «» . .

 if (DL1 == 0) //     1-  . { if (Loop_N1<sizeof(MusicNote)/2) //     -   . { Chenel1_P = MusicNote[Loop_N1][0]; //  . DL1=MusicNote[Loop_N1][1]; // . Loop_N1++; //   . } else { Flag1=0; //    2- . Chenel1_P = 48; // "". } }

 if (DL2 == 0) //    . { if (Loop_N2<sizeof(MusicNote1)/2) { Chenel2_P = MusicNote1[Loop_N2][0]; DL2=MusicNote1[Loop_N2][1]; Loop_N2++; } else { Flag2=0; //    2- . Chenel2_P = 48; // "". } }

 NoteBUF(Chenel1_P, Chenel2_P); //   1/16.

, 1/64- ( ).

 if (Flag1 != 0) DL1--; // 64-  . if (Flag2 != 0) DL2--;

github .
, 50- , 1/32 . .

. 4 .

2つのアレイを結合しようとして失敗した後、私はRingtone Editor v2.2を使用するという考えを捨てました。最初は、MIDIファイル自体の直接再生を開始したかったのですが、その構造をすばやく読んだ後、気が変わりました。しかし、トラックが一致しなかった理由を理解しました。実際、MIDIはリアルタイム形式です（元々は楽器の通信に使用されていました）。音は含まれませんが、「メモを取る」などのコマンドが含まれます。最も興味深いのは、最初に音が続く時間（ミュージシャンがシンセサイザーなどを演奏するとき）が分からないためです。「メモを取る」、「空のコマンド」、「リリース」のみがあります。フォーマットの構造に入らない限り、2つのノートを同時に再生するという話はできないと言えます。メモを調整するには、個別のコマンドを使用します。今、私は本当にフォーマットに対処したくないので、私は次のことをしました。

OpenMPT.
MIDI .
, MIDI 16 (). 2 , 4 ( , ). 128 . — 1/128
, . 4 ( data ).

. - .

 Program Sin_wav_Gener; Var DAC_CLK: word; //   DAC. Loop: word; //   . PR: real; // . I: word; //. ISIN: byte; //  . GR: byte; // . MesVoln: array [0..100000] of integer; //   . MesSM: array [0..131] of word; //. MesKOL: array [0..131] of word; //  . const SinTON: array [0..131] of real = (16.35, 17.32, 18.35, 19.40, 20.60, 21.83, 23.12, 24.50, 25.96, 27.50, 29.14, 30.87, 32.70, 34.65, 36.95, 38.88, 41.21, 43.65, 46.25, 49, 51.90, 55, 58.26, 61.74, 65.41, 69.30, 73.91, 77.78, 82.41, 87.31, 92.50, 98, 103.80, 110, 116.54, 123.48, 130.82, 138.59, 147.83, 155.56, 164.81, 174.62, 185, 196, 207, 220, 233.08, 246.96, 261.63, 277.18, 293.33, 311.13, 329.63, 349.23, 369.99, 392, 415.30, 440, 466.16, 493.88, 523.25, 554.36, 587.32, 622.26, 659.26, 698.46, 739.98, 784, 830.60, 880, 932.32, 987.75, 1046.5, 1108.7, 1174.6, 1244.5, 1318.5, 1396.9, 1480, 1568, 1661.2, 1760, 1864.6, 1975.5, 2093, 2217.4, 2349.2, 2489, 2637, 2793.8, 2960, 3136, 3322.4, 3520, 3729.2, 3951, 4186, 4434.8, 4698.4, 4978, 5274, 5587.6, 5920, 6272, 6644.8, 7040, 7458.4, 7902, 8372, 8869.6, 9396.8, 9956, 10548, 11175.2,11840, 12544, 13289.6, 14080, 14916.8,15804, 16744, 17739.2,18793.6,19912, 21096, 22350.4, 23680, 25088, 26579.2,28160, 29833.6,31608); Begin Loop := 0; //   . write('  DAC: '); readln(DAC_CLK); //   DAC. write('  (1..50): '); readln(GR);// . for ISIN:=0 to 131 do //    36 . Begin PR:=DAC_CLK/SinTON[ISIN]/2; //  . MesSM[ISIN]:=Loop; //. MesKOL[ISIN]:=Round(PR*2)+1; //   . for I:=0 to Round(PR*2) do // . Begin MesVoln[Loop]:=Round(GR+GR*sin(I*pi/PR)); Loop:=Loop+1; End; End; writeln('//   .'); write('const uint16_t MesKOL [133] = {'); for I:=0 to 131 do write(MesKOL[I], ', '); writeln('1};'); //  - .   1 . writeln('//   .'); write('const uint16_t MesSM [133] = {'); for I:=0 to 131 do write(MesSM[I], ', '); writeln(MesSM[131]+MesKOL[131], '};'); // "".  . writeln('//  .'); write('const uint8_t SinMES [', Loop+1, '] = {'); for I:=0 to Loop-1 do write(MesVoln[I], ', '); writeln(0, '};'); //  - "0". . End.

github.

, 4 .

( Pacal ABC).

 Program Pr; var input: text; // . BufNOT: byte; // . MESNOT: array [0..3, 0..1000, 0..1] of integer; //  10000    . BIGSTRING: string; //   4 . Chene_ST: string; //   . LoopNOTE_Chenel: array [0..3] of integer; //    . LoopDELAY_Chenel: array [0..3] of integer; //   . LoopChenel: integer; // . I: integer; FLAG_ONE_NOTE: array [0..3] of byte; // ,         .  ""  1- . //   -   . function PR_String_to_NambeNote (DataST: string): integer; var Buffer: integer; MNOG: integer; errorS: integer; Begin case DataST[2] of //    #       . 'C': if (DataST[3]='-') then Buffer:=0 else Buffer:=1; 'D': if (DataST[3]='-') then Buffer:=2 else Buffer:=3; 'E': Buffer:=4; 'F': if (DataST[3]='-') then Buffer:=5 else Buffer:=6; 'G': if (DataST[3]='-') then Buffer:=7 else Buffer:=8; 'A': if (DataST[3]='-') then Buffer:=9 else Buffer:=10; 'B': Buffer:=11; '=': Buffer:=132; End; if (Buffer<>132) then Begin val(DataST[4], MNOG, errorS); //  . Buffer:=Buffer+12*MNOG; //     . End; PR_String_to_NambeNote:=Buffer; // / End; Begin assign(input, 'INPUT.txt'); reset(input); //   . while not eof(input) do //  . Begin readln(input, BIGSTRING); //   4- . if (BIGSTRING[1] = '|') then //    , . Begin for LoopChenel:=0 to 3 do //  4 . Begin Chene_ST:=copy(BIGSTRING, 1+12*LoopChenel, 4); //     . if (Chene_ST[2]<>'.') then //   , . Begin if (FLAG_ONE_NOTE[LoopChenel]=0) then //       ,     . Begin if (LoopDELAY_Chenel[LoopChenel]<>0) then Begin MESNOT[LoopChenel][0][0]:=132; //   "0". MESNOT[LoopChenel][0][1]:=LoopDELAY_Chenel[LoopChenel]; //  . LoopNOTE_Chenel[LoopChenel]:=LoopNOTE_Chenel[LoopChenel]+1; //    . End; FLAG_ONE_NOTE[LoopChenel]:=1; End; MESNOT[LoopChenel][LoopNOTE_Chenel[LoopChenel]][0]:=PR_String_to_NambeNote(Chene_ST); //  . if (LoopNOTE_Chenel[LoopChenel]<>0) then MESNOT[LoopChenel][LoopNOTE_Chenel[LoopChenel]-1][1]:=LoopDELAY_Chenel[LoopChenel]; //   (  ). LoopNOTE_Chenel[LoopChenel]:=LoopNOTE_Chenel[LoopChenel]+1; //    . LoopDELAY_Chenel[LoopChenel]:=1; //    1/128. End else LoopDELAY_Chenel[LoopChenel]:=LoopDELAY_Chenel[LoopChenel]+1; //   -  . End; End; End; MESNOT[0][LoopNOTE_Chenel[0]-1][1]:=LoopDELAY_Chenel[0]; //    . MESNOT[1][LoopNOTE_Chenel[1]-1][1]:=LoopDELAY_Chenel[1]; //    . MESNOT[2][LoopNOTE_Chenel[2]-1][1]:=LoopDELAY_Chenel[2]; //    . MESNOT[3][LoopNOTE_Chenel[3]-1][1]:=LoopDELAY_Chenel[3]; //    . for LoopChenel:=0 to 3 do Begin write('uint16_t MusicNote', LoopChenel, '[', LoopNOTE_Chenel[LoopChenel], '][2] = {'); for I:=0 to LoopNOTE_Chenel[LoopChenel]-1 do Begin write (MESNOT[LoopChenel][I][0], ',', MESNOT[LoopChenel][I][1]); if (I<>LoopNOTE_Chenel[LoopChenel]-1) then write(', '); End; writeln('};'); End; End.

github.

次に、マイクロコントローラープログラムを変更して、4つのチャンネルを再生する必要がありました。

メイン関数の結果のコードは次のようになります。

 #include "main.h" uint16_t MusicNote0[119][2] = {66,13, 73,13, 68,38, 69,13, 69,26, 66,12, 73,13, 68,39, 69,12, 71,13, 69,13, 66,50, 132,14, 68,13, 64,13, 62,12, 64,50, 132,2, 58,12, 66,13, 62,13, 61,13, 62,50, 132,1, 132,13, 68,13, 69,12, 71,13, 66,50, 132,1, 68,26, 66,13, 73,13, 68,38, 69,13, 69,25, 66,13, 73,13, 68,38, 69,13, 71,13, 69,13, 66,50, 132,14, 68,13, 64,12, 62,13, 64,50, 132,1, 58,13, 66,13, 62,13, 61,13, 62,12, 71,13, 69,13, 68,13, 66,13, 65,12, 63,13, 65,13, 66,13, 70,13, 71,12, 73,13, 71,13, 69,13, 68,13, 71,12, 73,13, 76,13, 69,13, 73,13, 72,12, 69,13, 68,13, 66,13, 69,13, 69,25, 71,13, 68,26, 132,25, 66,13, 73,13, 68,38, 69,13, 69,26, 66,12, 73,13, 68,39, 69,12, 71,13, 69,13, 64,50, 132,1, 132,13, 68,13, 64,13, 62,12, 64,50, 132,2, 58,12, 66,13, 62,13, 61,13, 62,13, 71,12, 69,13, 68,13, 66,13, 65,13, 59,25, 66,50, 132,1, 59,26, 56,26, 57,50, 132,52, 132,51}; uint16_t MusicNote1[60][2] = {132,26, 61,50, 132,52, 61,50, 132,27, 64,50, 132,1, 132,51, 59,50, 132,2, 132,64, 64,12, 66,39, 132,38, 69,50, 132,1, 65,26, 132,26, 61,50, 132,52, 61,50, 132,27, 64,50, 132,1, 132,51, 59,50, 132,1, 132,103, 61,25, 59,26, 58,13, 132,38, 74,13, 132,13, 64,13, 74,12, 68,26, 66,26, 66,25, 60,26, 63,50, 132,1, 65,26, 132,51, 61,50, 132,52, 61,50, 132,27, 66,50, 132,14, 132,38, 59,50, 132,2, 132,102, 61,26, 63,12, 65,13, 57,39, 57,12, 132,205}; uint16_t MusicNote2[121][2] = {132,26, 41,13, 49,12, 53,26, 42,13, 49,13, 54,25, 41,13, 49,13, 53,25, 42,26, 38,13, 45,13, 50,12, 52,13, 54,50, 132,1, 37,13, 44,13, 49,13, 50,13, 42,50, 132,1, 47,50, 132,1, 48,50, 132,1, 49,50, 132,27, 132,26, 41,12, 49,13, 53,26, 42,13, 49,12, 54,26, 41,13, 49,13, 53,25, 42,26, 38,13, 45,12, 50,13, 52,13, 50,50, 132,1, 37,13, 44,13, 49,13, 50,12, 42,50, 132,2, 54,50, 132,1, 49,25, 37,26, 42,13, 42,13, 44,12, 46,13, 47,26, 40,25, 45,26, 38,26, 39,4, 42,4, 45,4, 42,5, 45,4, 48,4, 45,4, 132,1, 48,4, 51,4, 48,4, 51,5, 54,4, 49,50, 132,27, 132,51, 41,13, 49,12, 53,26, 42,13, 49,13, 54,25, 41,13, 49,13, 53,25, 42,26, 38,13, 45,13, 50,12, 52,13, 54,50, 132,1, 37,13, 44,13, 49,13, 50,13, 42,50, 132,1, 47,25, 48,26, 49,26, 37,25, 42,13, 49,13, 54,13, 49,12, 50,13, 54,13, 47,13, 54,13, 49,12, 54,13, 49,13, 42,13, 30,50, 132,1, 132,51}; uint16_t MusicNote3[39][2] = {132,256, 50,50, 132,1, 132,52, 52,50, 132,1, 132,13, 54,12, 59,13, 54,13, 132,13, 51,13, 54,12, 57,13, 132,13, 54,13, 56,13, 59,38, 132,256, 54,50, 132,1, 132,51, 52,50, 132,2, 47,25, 48,26, 132,269, 54,12, 56,13, 59,39, 132,281, 50,50, 132,1, 132,52, 52,50, 132,1, 54,50, 132,1, 132,307}; //   . const uint16_t MesKOL [133] = {1958, 1849, 1745, 1650, 1554, 1467, 1385, 1307, 1234, 1165, 1099, 1038, 980, 925, 867, 824, 778, 734, 693, 654, 618, 583, 550, 519, 490, 463, 434, 412, 389, 368, 347, 328, 309, 292, 276, 260, 246, 232, 217, 207, 195, 184, 174, 164, 156, 146, 138, 131, 123, 116, 110, 104, 98, 93, 87, 83, 78, 74, 70, 66, 62, 59, 55, 52, 50, 47, 44, 42, 40, 37, 35, 33, 32, 30, 28, 27, 25, 24, 23, 21, 20, 19, 18, 17, 16, 15, 15, 14, 13, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}; //   . const uint16_t MesSM [133] = {0, 1958, 3807, 5552, 7202, 8756, 10223, 11608, 12915, 14149, 15314, 16413, 17451, 18431, 19356, 20223, 21047, 21825, 22559, 23252, 23906, 24524, 25107, 25657, 26176, 26666, 27129, 27563, 27975, 28364, 28732, 29079, 29407, 29716, 30008, 30284, 30544, 30790, 31022, 31239, 31446, 31641, 31825, 31999, 32163, 32319, 32465, 32603, 32734, 32857, 32973, 33083, 33187, 33285, 33378, 33465, 33548, 33626, 33700, 33770, 33836, 33898, 33957, 34012, 34064, 34114, 34161, 34205, 34247, 34287, 34324, 34359, 34392, 34424, 34454, 34482, 34509, 34534, 34558, 34581, 34602, 34622, 34641, 34659, 34676, 34692, 34707, 34722, 34736, 34749, 34761, 34773, 34784, 34795, 34805, 34815, 34824, 34833, 34841, 34849, 34856, 34863, 34870, 34876, 34882, 34888, 34894, 34899, 34904, 34909, 34914, 34918, 34922, 34926, 34930, 34934, 34938, 34941, 34944, 34947, 34950, 34953, 34956, 34959, 34962, 34965, 34967, 34969, 34971, 34973, 34975, 34977, 34979}; //  . const uint8_t SinMES [34980] = {10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 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1, 1, 0, 0, 0, 1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 17, 18, 19, 20, 20, 20, 19, 18, 17, 16, 14, 12, 10, 8, 7, 5, 3, 2, 1, 0, 0, 0, 1, 1, 2, 4, 6, 7, 9, 10, 12, 14, 16, 17, 19, 19, 20, 20, 20, 19, 18, 16, 15, 13, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 1, 2, 3, 5, 7, 9, 11, 10, 12, 14, 16, 18, 19, 20, 20, 20, 19, 18, 17, 15, 13, 11, 9, 7, 5, 3, 2, 1, 0, 0, 0, 1, 3, 4, 6, 8, 10, 10, 12, 14, 16, 18, 19, 20, 20, 20, 19, 17, 16, 14, 11, 9, 7, 5, 3, 2, 1, 0, 0, 1, 2, 3, 5, 7, 9, 10, 12, 15, 17, 18, 19, 20, 20, 19, 18, 16, 14, 12, 10, 7, 5, 3, 2, 0, 0, 0, 1, 2, 4, 6, 8, 11, 10, 13, 15, 17, 19, 20, 20, 20, 19, 17, 15, 13, 10, 8, 5, 3, 2, 0, 0, 0, 1, 3, 4, 7, 9, 10, 13, 15, 17, 19, 20, 20, 19, 18, 16, 14, 11, 9, 6, 4, 2, 1, 0, 0, 1, 3, 5, 8, 10, 10, 13, 15, 18, 19, 20, 20, 19, 17, 15, 12, 9, 7, 4, 2, 1, 0, 0, 1, 3, 5, 8, 11, 10, 13, 16, 18, 19, 20, 20, 18, 16, 14, 11, 8, 5, 2, 1, 0, 0, 1, 3, 6, 9, 10, 13, 16, 18, 20, 20, 19, 18, 15, 12, 9, 6, 3, 1, 0, 0, 1, 3, 6, 9, 10, 13, 16, 19, 20, 20, 19, 17, 14, 10, 7, 4, 2, 0, 0, 1, 3, 6, 9, 10, 14, 17, 19, 20, 20, 18, 15, 12, 8, 5, 2, 1, 0, 1, 3, 6, 9, 10, 14, 17, 19, 20, 19, 17, 14, 10, 7, 3, 1, 0, 1, 2, 6, 9, 10, 14, 17, 19, 20, 19, 16, 13, 9, 5, 2, 0, 0, 2, 5, 9, 10, 14, 18, 20, 20, 18, 15, 11, 7, 3, 1, 0, 1, 4, 8, 10, 14, 18, 20, 20, 17, 14, 9, 5, 2, 0, 1, 3, 7, 12, 10, 15, 18, 20, 19, 16, 12, 7, 3, 0, 0, 2, 6, 11, 10, 15, 19, 20, 19, 15, 10, 5, 2, 0, 1, 4, 9, 10, 15, 19, 20, 18, 14, 9, 4, 1, 0, 3, 8, 10, 15, 19, 20, 17, 12, 7, 2, 0, 1, 5, 11, 10, 16, 19, 20, 16, 11, 5, 1, 0, 3, 9, 10, 16, 20, 19, 15, 9, 3, 0, 1, 6, 12, 10, 16, 20, 19, 14, 7, 2, 0, 3, 9, 10, 17, 20, 18, 12, 5, 1, 1, 6, 13, 10, 17, 20, 17, 10, 3, 0, 2, 9, 10, 17, 20, 16, 9, 2, 0, 5, 13, 10, 18, 20, 15, 7, 1, 1, 8, 10, 18, 20, 14, 5, 0, 3, 12, 10, 18, 19, 12, 3, 0, 6, 10, 19, 19, 10, 2, 1, 9, 10, 19, 18, 9, 1, 3, 13, 10, 19, 17, 7, 0, 5, 10, 19, 16, 5, 0, 9, 10, 20, 15, 3, 1, 12, 10, 20, 14, 2, 3, 16, 10, 20, 12, 1, 6, 10, 20, 10, 0, 9, 10, 20, 9, 0, 13, 10, 20, 7, 1, 16, 10, 20, 5, 3, 10, 19, 3, 6, 10, 19, 2, 9, 10, 18, 1, 13, 10, 17, 0, 16, 10, 16, 0, 19, 10, 15, 1, 10, 14, 3, 10, 12, 6, 10, 10, 9, 10, 9, 13, 10, 7, 16, 10, 5, 19, 10, 3, 20, 10, 2, 19, 10, 1, 10, 0, 10, 0, 10, 1, 10, 3, 10, 6, 10, 9, 0}; int main (void) { HSE_Clock_ON(); //  HSE . HSE_Clock_OffPLL(); // ""      HSE . HSE_PLL(10); //8 -> 80. Buzzer_out_DAC_init(); //   . DAC_Init(); // . DMA_to_DAC_and_TIM1(); // DMA    DAC2   1. Init_TIMER1_to_DMA_and_DAC2_for_BUFFER(); //     . uint16_t DL0=0, DL1=0, DL2=0, DL3=0; //      . uint16_t Loop_N0=0, Loop_N1=0, Loop_N2=0, Loop_N3=0; //    (1-, ...). uint8_t Chenel0_P, Chenel1_P, Chenel2_P, Chenel3_P; // ,    (  ). uint8_t Flag0, Flag1, Flag2, Flag3; //  . while (1) { Flag0=1; Flag1=1; Flag2=1; Flag3=1; // . Loop_N0=0; Loop_N1=0; Loop_N2=0; Loop_N3=0; // . DL0=0, DL1=0, DL2=0, DL3=0; while (Flag0|Flag1|Flag2|Flag3) //,  4   . { if (DL0 == 0) //     1-  . { if (Loop_N0<sizeof(MusicNote0)/4) //     -   . { Chenel0_P = MusicNote0[Loop_N0][0]; //  . DL0=MusicNote0[Loop_N0][1]; // . Loop_N0++; //   . } else { Flag0=0; //    2- . Chenel0_P = 132; // "". } } if (DL1 == 0) //    . { if (Loop_N1<sizeof(MusicNote1)/4) { Chenel1_P = MusicNote1[Loop_N1][0]; DL1=MusicNote1[Loop_N1][1]; Loop_N1++; } else { Flag1=0; //    2- . Chenel1_P = 132; // "". } } if (DL2 == 0) //    . { if (Loop_N2<sizeof(MusicNote2)/4) { Chenel2_P = MusicNote2[Loop_N2][0]; DL2=MusicNote2[Loop_N2][1]; Loop_N2++; } else { Flag2=0; //    2- . Chenel2_P = 132; // "". } } if (DL3 == 0) //    . { if (Loop_N3<sizeof(MusicNote3)/4) { Chenel3_P = MusicNote3[Loop_N3][0]; DL3=MusicNote3[Loop_N3][1]; Loop_N3++; } else { Flag3=0; //    2- . Chenel3_P = 132; // "". } } NoteBUF(Chenel0_P, Chenel1_P, Chenel2_P, Chenel3_P); //   1/128. if (Flag0 != 0) DL0--; // 128-  . if (Flag1 != 0) DL1--; if (Flag2 != 0) DL2--; if (Flag3 != 0) DL3--; } } }

低レベル再生機能のコード。

 uint16_t BufferIndex = 0; //     . uint16_t LoopSin0, LoopSin1, LoopSin2, LoopSin3; //      . uint8_t WavTon_BF0, WavTon_BF1, WavTon_BF2, WavTon_BF3; // "" .   ,           -    "",  . void NoteBUF (uint8_t NambeN0, uint8_t NambeN1, uint8_t NambeN2, uint8_t NambeN3) { //  32000 . 32000   . //  120   .   60 . //=>   600/60   . //  1  - 4/4 ( ).   4 . //=>1  = 4 . //  128-. 32000   * 4 / 128  // = 1000    . if (WavTon_BF0!=NambeN0) {WavTon_BF0=NambeN0; LoopSin0=0;}; //    -    . if (WavTon_BF1!=NambeN1) {WavTon_BF1=NambeN1; LoopSin1=0;}; if (WavTon_BF2!=NambeN2) {WavTon_BF2=NambeN2; LoopSin2=0;}; if (WavTon_BF3!=NambeN3) {WavTon_BF3=NambeN3; LoopSin3=0;}; for (uint16_t Del16 = 0; Del16<1000; Del16++) // 64-. { while (LoopBUFData == 0) {}; //,     . BufferData[BufferIndex]=SinMES[LoopSin0+MesSM[NambeN0]]+SinMES[LoopSin1+MesSM[NambeN1]]+SinMES[LoopSin2+MesSM[NambeN2]]+SinMES[LoopSin3+MesSM[NambeN3]]; // . LoopSin0++; LoopSin1++; LoopSin2++; LoopSin3++; //    . if (LoopSin0==MesKOL[NambeN0]) LoopSin0=0; //    1-  -   . if (LoopSin1==MesKOL[NambeN1]) LoopSin1=0; //   . if (LoopSin2==MesKOL[NambeN2]) LoopSin2=0; if (LoopSin3==MesKOL[NambeN3]) LoopSin3=0; BufferIndex++; if (BufferIndex == (1024*2)) BufferIndex = 0; //      -   . LoopBUFData--; //,     . } }

プロジェクトと添付されているすべての追加プログラム、およびオーディオファイルはgithubで入手できます。最終バージョンはgithubにあります。

音は悪くありませんでした（＃までの音符を除きます。例えば、2番目の音を演奏します。そして、私の聴覚を傷つけます...）。さらに、この記事に基づいて、正弦波+のこぎり波信号の混合を得るために、音波の配列の生成を完了することができます（たとえば）。これにより、音質が向上し、音の豊かさが増します。問題を追加することはありません。

以前の記事のリスト。

STM32からロシアのマイクロコントローラーK1986BE92QIに渡します。 音を生成して再現します。 パート4：最終

はじめに

1ボイスのミュージカルカードを作成します。単純なメロディを演奏します。

ポリフォニック音楽カードを作成します。

. 4 .

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STM32からロシアのマイクロコントローラーK1986BE92QIに渡します。音を生成して再現します。パート4：最終