{"id":95591,"date":"2025-02-01T20:48:45","date_gmt":"2025-02-01T17:18:45","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/%d8%a8%d9%87%db%8c%d9%86%d9%87-%d8%b3%d8%a7%d8%b2%db%8c-%d8%b9%d9%85%d9%84%da%a9%d8%b1%d8%af-%d9%86%d9%85%d9%88%d8%af%d8%a7%d8%b1-%d8%ae%d8%b7-%d8%a8%d8%a7-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa\/"},"modified":"2025-02-01T20:48:45","modified_gmt":"2025-02-01T17:18:45","slug":"%d8%a8%d9%87%db%8c%d9%86%d9%87-%d8%b3%d8%a7%d8%b2%db%8c-%d8%b9%d9%85%d9%84%da%a9%d8%b1%d8%af-%d9%86%d9%85%d9%88%d8%af%d8%a7%d8%b1-%d8%ae%d8%b7-%d8%a8%d8%a7-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/%d8%a8%d9%87%db%8c%d9%86%d9%87-%d8%b3%d8%a7%d8%b2%db%8c-%d8%b9%d9%85%d9%84%da%a9%d8%b1%d8%af-%d9%86%d9%85%d9%88%d8%af%d8%a7%d8%b1-%d8%ae%d8%b7-%d8%a8%d8%a7-%d8%a7%d9%84%da%af%d9%88%d8%b1%db%8c%d8%aa\/","title":{"rendered":"\u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u0646\u0645\u0648\u062f\u0627\u0631 \u062e\u0637 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 LTTB"},"content":{"rendered":"
\n

\u0647\u0646\u06af\u0627\u0645 \u06a9\u0627\u0631 \u0628\u0627 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u060c \u0627\u0631\u0627\u0626\u0647 \u062a\u0645\u0627\u0645 \u0646\u0642\u0627\u0637 \u062f\u0631 \u06cc\u06a9 \u0646\u0645\u0648\u062f\u0627\u0631 \u062e\u0637 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0627\u0639\u062b \u0627\u06cc\u062c\u0627\u062f \u0645\u0634\u06a9\u0644\u0627\u062a \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0634\u0648\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u060c \u062a\u0631\u0633\u06cc\u0645 50\u060c000 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0633\u062a\u0642\u06cc\u0645 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0645\u0631\u0648\u0631\u06af\u0631 \u0631\u0627 \u062a\u062d\u062a \u0627\u0644\u0634\u0639\u0627\u0639 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0647 \u0648 \u0646\u0645\u0648\u062f\u0627\u0631 \u0631\u0627 \u067e\u0627\u0633\u062e\u06af\u0648 \u0646\u0628\u0627\u0634\u062f. \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f AmCharts \u0648 Apexcharts \u0628\u0627 \u0686\u0646\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc\u06cc \u0645\u06cc \u062c\u0646\u06af\u0646\u062f \u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 Echarts \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0647\u062a\u0631\u06cc \u062f\u0627\u0631\u062f \u0627\u0645\u0627 \u0647\u0646\u0648\u0632 \u0628\u0631\u0627\u06cc \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af \u0628\u0647\u06cc\u0646\u0647 \u0646\u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n

\u0628\u0631\u0627\u06cc \u067e\u0631\u062f\u0627\u062e\u062a\u0646 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u060c \u0645\u0646 Echarts \u0631\u0627 \u0628\u0627 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u062b\u0644\u062b \u0633\u0647 \u0633\u0637\u0644 (LTTB) \u062a\u0631\u06a9\u06cc\u0628 \u06a9\u0631\u062f\u0645. LTTB \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u06a9\u0627\u0647\u0634 \u062f\u0647\u0646\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0636\u0645\u0646 \u062d\u0641\u0638 \u0633\u0627\u062e\u062a\u0627\u0631 \u0628\u0635\u0631\u06cc \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u060c \u0646\u0642\u0627\u0637 \u062f\u0627\u062f\u0647 \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n

\u062f\u0631 \u0627\u06cc\u0646 \u067e\u0633\u062a \u060c \u0645\u0646 \u062a\u0648\u0636\u06cc\u062d \u062e\u0648\u0627\u0647\u0645 \u062f\u0627\u062f \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 LTTB \u06af\u0627\u0645 \u0628\u0647 \u06af\u0627\u0645 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u0627\u0632 \u06a9\u0627\u0647\u0634 10 \u0627\u0645\u062a\u06cc\u0627\u0632 \u0628\u0647 4 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0631\u062d\u0644\u0647 \u060c \u06a9\u062f \u0645\u0631\u0628\u0648\u0637\u0647 \u060c \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0648 \u062a\u062d\u0648\u0644\u0627\u062a \u062f\u0627\u062f\u0647 \u062d\u0627\u0635\u0644 \u0631\u0627 \u062f\u0631\u062c \u0645\u06cc \u06a9\u0646\u0645.<\/p>\n

\u06a9\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 LTTB
\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u06a9\u062f \u06a9\u0627\u0645\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 LTTB \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:<\/p>\n

\n
export<\/span> function<\/span> lttb<\/span>(<\/span>data<\/span>:<\/span> Point<\/span>[],<\/span> threshold<\/span>:<\/span> number<\/span>):<\/span> Point<\/span>[]<\/span> {<\/span>\n  const<\/span> dataLength<\/span> =<\/span> data<\/span>.<\/span>length<\/span>;<\/span>\n  if <\/span>(<\/span>threshold<\/span> >=<\/span> dataLength<\/span> ||<\/span> threshold<\/span> ===<\/span> 0<\/span>)<\/span> {<\/span>\n    return<\/span> data<\/span>;<\/span> \/\/ No downsampling needed<\/span>\n  }<\/span>\n\n  const<\/span> sampled<\/span>:<\/span> Point<\/span>[]<\/span> =<\/span> [];<\/span>\n  let<\/span> sampledIndex<\/span> =<\/span> 0<\/span>;<\/span>\n  const<\/span> bucketSize<\/span> =<\/span> (<\/span>dataLength<\/span> -<\/span> 2<\/span>)<\/span> \/<\/span> (<\/span>threshold<\/span> -<\/span> 2<\/span>);<\/span>\n  let<\/span> a<\/span> =<\/span> 0<\/span>;<\/span> \/\/ Start point<\/span>\n  let<\/span> nextA<\/span> =<\/span> 0<\/span>;<\/span>\n\n  sampled<\/span>[<\/span>sampledIndex<\/span>++<\/span>]<\/span> =<\/span> data<\/span>[<\/span>a<\/span>];<\/span> \/\/ Add the first point<\/span>\n\n  for <\/span>(<\/span>let<\/span> i<\/span> =<\/span> 0<\/span>;<\/span> i<\/span> <<\/span> threshold<\/span> -<\/span> 2<\/span>;<\/span> i<\/span>++<\/span>)<\/span> {<\/span>\n    let<\/span> avgX<\/span> =<\/span> 0<\/span>;<\/span>\n    let<\/span> avgY<\/span> =<\/span> 0<\/span>;<\/span>\n    let<\/span> avgRangeStart<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 1<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\n    let<\/span> avgRangeEnd<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 2<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\n    avgRangeEnd<\/span> =<\/span> avgRangeEnd<\/span> <<\/span> dataLength<\/span> ?<\/span> avgRangeEnd<\/span> :<\/span> dataLength<\/span>;<\/span>\n    const<\/span> avgRangeLength<\/span> =<\/span> avgRangeEnd<\/span> -<\/span> avgRangeStart<\/span>;<\/span>\n\n    for <\/span>(;<\/span> avgRangeStart<\/span> <<\/span> avgRangeEnd<\/span>;<\/span> avgRangeStart<\/span>++<\/span>)<\/span> {<\/span>\n      avgX<\/span> +=<\/span> data<\/span>[<\/span>avgRangeStart<\/span>].<\/span>x<\/span>;<\/span>\n      avgY<\/span> +=<\/span> data<\/span>[<\/span>avgRangeStart<\/span>].<\/span>y<\/span>;<\/span>\n    }<\/span>\n\n    avgX<\/span> \/=<\/span> avgRangeLength<\/span>;<\/span>\n    avgY<\/span> \/=<\/span> avgRangeLength<\/span>;<\/span>\n\n    let<\/span> rangeOffs<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 0<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\n    const<\/span> rangeTo<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 1<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\n    const<\/span> pointAX<\/span> =<\/span> data<\/span>[<\/span>a<\/span>].<\/span>x<\/span>;<\/span>\n    const<\/span> pointAY<\/span> =<\/span> data<\/span>[<\/span>a<\/span>].<\/span>y<\/span>;<\/span>\n\n    let<\/span> maxArea<\/span> =<\/span> -<\/span>1<\/span>;<\/span>\n\n    for <\/span>(;<\/span> rangeOffs<\/span> <<\/span> rangeTo<\/span>;<\/span> rangeOffs<\/span>++<\/span>)<\/span> {<\/span>\n      const<\/span> area<\/span> =<\/span> Math<\/span>.<\/span>abs<\/span>(<\/span>\n        (<\/span>pointAX<\/span> -<\/span> avgX<\/span>)<\/span> *<\/span> (<\/span>data<\/span>[<\/span>rangeOffs<\/span>].<\/span>y<\/span> -<\/span> pointAY<\/span>)<\/span> -<\/span>\n        (<\/span>pointAX<\/span> -<\/span> data<\/span>[<\/span>rangeOffs<\/span>].<\/span>x<\/span>)<\/span> *<\/span> (<\/span>avgY<\/span> -<\/span> pointAY<\/span>)<\/span>\n      );<\/span>\n      if <\/span>(<\/span>area<\/span> ><\/span> maxArea<\/span>)<\/span> {<\/span>\n        maxArea<\/span> =<\/span> area<\/span>;<\/span>\n        nextA<\/span> =<\/span> rangeOffs<\/span>;<\/span>\n      }<\/span>\n    }<\/span>\n\n    sampled<\/span>[<\/span>sampledIndex<\/span>++<\/span>]<\/span> =<\/span> data<\/span>[<\/span>nextA<\/span>];<\/span> \/\/ Add the most important point<\/span>\n    a<\/span> =<\/span> nextA<\/span>;<\/span>\n  }<\/span>\n\n  sampled<\/span>[<\/span>sampledIndex<\/span>++<\/span>]<\/span> =<\/span> data<\/span>[<\/span>dataLength<\/span> -<\/span> 1<\/span>];<\/span> \/\/ Add the last point<\/span>\n\n  return<\/span> sampled<\/span>;<\/span>\n}<\/span>\n<\/code><\/pre>\n
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\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u0645\u062b\u0627\u0644: \u06a9\u0627\u0647\u0634 10 \u0627\u0645\u062a\u06cc\u0627\u0632 \u0628\u0647 4 \u0627\u0645\u062a\u06cc\u0627\u0632
\u0645\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 LTTB \u060c \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0632\u06cc\u0631 10 \u0627\u0645\u062a\u06cc\u0627\u0632 \u0631\u0627 \u0628\u0647 4 \u0627\u0645\u062a\u06cc\u0627\u0632 \u06a9\u0627\u0647\u0634 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u062f:<\/p>\n
\u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0627\u0635\u0644\u06cc<\/p>\n
\n
const<\/span> data<\/span> =<\/span> [<\/span>\n  {<\/span> x<\/span>:<\/span> 1<\/span>,<\/span> y<\/span>:<\/span> 10<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 2<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 3<\/span>,<\/span> y<\/span>:<\/span> 15<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 4<\/span>,<\/span> y<\/span>:<\/span> 25<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 5<\/span>,<\/span> y<\/span>:<\/span> 30<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 6<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 7<\/span>,<\/span> y<\/span>:<\/span> 40<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 8<\/span>,<\/span> y<\/span>:<\/span> 35<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 9<\/span>,<\/span> y<\/span>:<\/span> 45<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 10<\/span>,<\/span> y<\/span>:<\/span> 50<\/span> }<\/span>\n];<\/span>\nconst<\/span> threshold<\/span> =<\/span> 4<\/span>;<\/span> \/\/ Reduce to 4 points<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u0645\u0631\u062d\u0644\u0647 1: \u0646\u06a9\u062a\u0647 \u0627\u0648\u0644 \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f<\/strong><\/p>\n
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sampled<\/span>[<\/span>sampledIndex<\/span>++<\/span>]<\/span> =<\/span> data<\/span>[<\/span>a<\/span>];<\/span> \/\/ Add the first point<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u2705 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0645\u06cc\u0634\u0647 \u0628\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0627\u0648\u0644\u06cc\u0646 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc downsampled \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0634\u0631\u0648\u0639 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n
\ud83d\udcca \u0646\u062a\u06cc\u062c\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647:<\/p>\n
\n
sampled<\/span> =<\/span> [<\/span>\n  {<\/span> x<\/span>:<\/span> 1<\/span>,<\/span> y<\/span>:<\/span> 10<\/span> }<\/span>\n];<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u0645\u0631\u062d\u0644\u0647 2: \u0627\u0646\u062f\u0627\u0632\u0647 \u0633\u0637\u0644 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f<\/strong><\/p>\n
\n
const<\/span> bucketSize<\/span> =<\/span> (<\/span>dataLength<\/span> -<\/span> 2<\/span>)<\/span> \/<\/span> (<\/span>threshold<\/span> -<\/span> 2<\/span>);<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
size \u0627\u0646\u062f\u0627\u0632\u0647 \u0633\u0637\u0644 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0686\u0647 \u062a\u0639\u062f\u0627\u062f \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u062f\u0631 \u0647\u0631 “\u0633\u0637\u0644” \u0642\u0631\u0627\u0631 \u0645\u06cc \u06af\u06cc\u0631\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f:<\/p>\n\n

\n  \u0628\u0627\u06a9\u062a\u0631\u06cc \u06a9\u0631\u062f\u0646<\/mtext>=<\/mo>\u062f\u06cc\u062a\u0627\u062c\u062a<\/mtext>–<\/mo>2<\/mn><\/mrow>\u0622\u0633\u062a\u0627\u0646\u0647<\/mtext>–<\/mo>2<\/mn><\/mrow><\/mfrac>=<\/mo>10<\/mn>–<\/mo>2<\/mn><\/mrow>4<\/mn>–<\/mo>2<\/mn><\/mrow><\/mfrac>=<\/mo>4<\/mn><\/mrow>\\ text {bucketsize} = \\ frac {\\ text {datal \u0637\u0648\u0644} – 2} {\\ text {\u0622\u0633\u062a\u0627\u0646\u0647} – 2} = \\ frac {10 – 2} {4 – 2} = 4 <\/annotation><\/semantics><\/math><\/span>\u0628\u0627\u06a9\u062a\u0631\u06cc \u06a9\u0631\u062f\u0646<\/span><\/span>=<\/span><\/span>\u0622\u0633\u062a\u0627\u0646\u0647<\/span><\/span>–<\/span>2<\/span><\/span><\/span><\/span><\/span>\u062f\u06cc\u062a\u0627\u062c\u062a<\/span><\/span>–<\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>4<\/span>–<\/span>2<\/span><\/span><\/span><\/span><\/span>10<\/span>–<\/span>2<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span>
\n<\/span>\n<\/p>\n
\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u060c \u0647\u0631 \u0633\u0637\u0644 \u062d\u0627\u0648\u06cc 4 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0627\u0633\u062a.<\/p>\n
\u0645\u0631\u062d\u0644\u0647 3: \u0633\u0637\u0644 \u0627\u0648\u0644 (\u0646\u0642\u0627\u0637 2-5)<\/strong><\/p>\n
\n
let<\/span> avgX<\/span> =<\/span> 0<\/span>;<\/span>\nlet<\/span> avgY<\/span> =<\/span> 0<\/span>;<\/span>\nlet<\/span> avgRangeStart<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 1<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\nlet<\/span> avgRangeEnd<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 2<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\navgRangeEnd<\/span> =<\/span> avgRangeEnd<\/span> <<\/span> dataLength<\/span> ?<\/span> avgRangeEnd<\/span> :<\/span> dataLength<\/span>;<\/span>\nconst<\/span> avgRangeLength<\/span> =<\/span> avgRangeEnd<\/span> -<\/span> avgRangeStart<\/span>;<\/span>\n\nfor <\/span>(;<\/span> avgRangeStart<\/span> <<\/span> avgRangeEnd<\/span>;<\/span> avgRangeStart<\/span>++<\/span>)<\/span> {<\/span>\n  avgX<\/span> +=<\/span> data<\/span>[<\/span>avgRangeStart<\/span>].<\/span>x<\/span>;<\/span>\n  avgY<\/span> +=<\/span> data<\/span>[<\/span>avgRangeStart<\/span>].<\/span>y<\/span>;<\/span>\n}<\/span>\n\navgX<\/span> \/=<\/span> avgRangeLength<\/span>;<\/span>\navgY<\/span> \/=<\/span> avgRangeLength<\/span>;<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u2705 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0646\u0642\u0637\u0647 \u0627\u0648\u0644 \u0633\u0637\u0644 \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f (\u0627\u0645\u062a\u06cc\u0627\u0632 2-5). \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0628\u0627 \u062c\u0645\u0639 \u0628\u0646\u062f\u06cc \u0622\u0646\u0647\u0627 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc \u0634\u0648\u062f x<\/code> \u0648\u062a y<\/code> \u0627\u0631\u0632\u0634 \u0647\u0627 \u0648 \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u062a\u0639\u062f\u0627\u062f \u0627\u0645\u062a\u06cc\u0627\u0632.<\/p>\n
\n
\n  aygx<\/mtext>=<\/mo>2<\/mn>\u0628\u0627<\/mo>3<\/mn>\u0628\u0627<\/mo>4<\/mn>\u0628\u0627<\/mo>5<\/mn><\/mrow>4<\/mn><\/mfrac>=<\/mo>3.5<\/mn><\/mrow>\\ text {avgx} = \\ frac {2 + 3 + 4 + 5} {4} = 3.5 <\/annotation><\/semantics><\/math><\/span>aygx<\/span><\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>2<\/span>\u0628\u0627<\/span>3<\/span>\u0628\u0627<\/span>4<\/span>\u0628\u0627<\/span>5<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>3.5<\/span><\/span><\/span><\/span>
\n<\/span>\n<\/p>\n
\n
\n  \u0628\u0627 \u0627\u0628\u0633\u062a<\/mtext>=<\/mo>20<\/mn>\u0628\u0627<\/mo>15<\/mn>\u0628\u0627<\/mo>25<\/mn>\u0628\u0627<\/mo>30<\/mn><\/mrow>4<\/mn><\/mfrac>=<\/mo>22.5<\/mn><\/mrow>\\ text {avgy} = \\ frac {20 + 15 + 25 + 30} {4} = 22.5 <\/annotation><\/semantics><\/math><\/span>\u0628\u0627 \u0627\u0628\u0633\u062a<\/span><\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>20<\/span>\u0628\u0627<\/span>15<\/span>\u0628\u0627<\/span>25<\/span>\u0628\u0627<\/span>30<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>22.5<\/span><\/span><\/span><\/span>
\n<\/span>\n<\/p>\n
\u0645\u0631\u062d\u0644\u0647 4: \u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u0646\u06a9\u062a\u0647 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f<\/strong><\/p>\n
\n
let<\/span> rangeOffs<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 0<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\nconst<\/span> rangeTo<\/span> =<\/span> Math<\/span>.<\/span>floor<\/span>((<\/span>i<\/span> +<\/span> 1<\/span>)<\/span> *<\/span> bucketSize<\/span>)<\/span> +<\/span> 1<\/span>;<\/span>\nconst<\/span> pointAX<\/span> =<\/span> data<\/span>[<\/span>a<\/span>].<\/span>x<\/span>;<\/span>\nconst<\/span> pointAY<\/span> =<\/span> data<\/span>[<\/span>a<\/span>].<\/span>y<\/span>;<\/span>\n\nlet<\/span> maxArea<\/span> =<\/span> -<\/span>1<\/span>;<\/span>\n\nfor <\/span>(;<\/span> rangeOffs<\/span> <<\/span> rangeTo<\/span>;<\/span> rangeOffs<\/span>++<\/span>)<\/span> {<\/span>\n  const<\/span> area<\/span> =<\/span> Math<\/span>.<\/span>abs<\/span>(<\/span>\n    (<\/span>pointAX<\/span> -<\/span> avgX<\/span>)<\/span> *<\/span> (<\/span>data<\/span>[<\/span>rangeOffs<\/span>].<\/span>y<\/span> -<\/span> pointAY<\/span>)<\/span> -<\/span>\n    (<\/span>pointAX<\/span> -<\/span> data<\/span>[<\/span>rangeOffs<\/span>].<\/span>x<\/span>)<\/span> *<\/span> (<\/span>avgY<\/span> -<\/span> pointAY<\/span>)<\/span>\n  );<\/span>\n  if <\/span>(<\/span>area<\/span> ><\/span> maxArea<\/span>)<\/span> {<\/span>\n    maxArea<\/span> =<\/span> area<\/span>;<\/span>\n    nextA<\/span> =<\/span> rangeOffs<\/span>;<\/span>\n  }<\/span>\n}<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u2705 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0646\u0642\u0637\u0647 \u0627\u06cc \u0631\u0627 \u062f\u0631 \u0633\u0637\u0644 \u0645\u0634\u062e\u0635 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0645\u062b\u0644\u062b \u0631\u0627 \u0628\u0627 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0646\u0642\u0637\u0647 \u0648 \u0646\u0642\u0637\u0647 \u0642\u0628\u0644\u0627\u064b \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n
\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0633\u0637\u0644 \u060c (2\u060c20) \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0645\u0646\u0637\u0642\u0647 \u0631\u0627 \u062f\u0627\u0631\u062f<\/p>\n
\n
sampled<\/span> =<\/span> [<\/span>\n  {<\/span> x<\/span>:<\/span> 1<\/span>,<\/span> y<\/span>:<\/span> 10<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 2<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> }<\/span>\n];<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u0645\u0631\u062d\u0644\u0647 5: \u0633\u0637\u0644 \u062f\u0648\u0645 (\u0646\u0642\u0627\u0637 6-9)<\/strong><\/p>\n
\u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0641\u0631\u0622\u06cc\u0646\u062f \u0631\u0627 \u0628\u0631\u0627\u06cc \u0633\u0637\u0644 \u062f\u0648\u0645 (\u0646\u0642\u0627\u0637 6-9) \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u060c \u0645\u062d\u0627\u0633\u0628\u0627\u062a:<\/p>\n
\u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u0646\u06a9\u062a\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0633\u0637\u0644 (6 \u060c 20) \u0627\u0633\u062a.<\/p>\n
\n
\n  aygx<\/mtext>=<\/mo>6<\/mn>\u0628\u0627<\/mo>7<\/mn>\u0628\u0627<\/mo>8<\/mn>\u0628\u0627<\/mo>9<\/mn><\/mrow>4<\/mn><\/mfrac>=<\/mo>7.5<\/mn><\/mrow>\\ text {avgx} = \\ frac {6 + 7 + 8 + 9} {4} = 7.5 <\/annotation><\/semantics><\/math><\/span>aygx<\/span><\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>6<\/span>\u0628\u0627<\/span>7<\/span>\u0628\u0627<\/span>8<\/span>\u0628\u0627<\/span>9<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>7.5<\/span><\/span><\/span><\/span>
\n<\/span>\n<\/p>\n
\n
\n  \u0628\u0627 \u0627\u0628\u0633\u062a<\/mtext>=<\/mo>20<\/mn>\u0628\u0627<\/mo>40<\/mn>\u0628\u0627<\/mo>35<\/mn>\u0628\u0627<\/mo>45<\/mn><\/mrow>4<\/mn><\/mfrac>=<\/mo>35<\/mn><\/mrow>\\ text {avgy} = \\ frac {20 + 40 + 35 + 45} {4} = 35 <\/annotation><\/semantics><\/math><\/span>\u0628\u0627 \u0627\u0628\u0633\u062a<\/span><\/span>=<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span>20<\/span>\u0628\u0627<\/span>40<\/span>\u0628\u0627<\/span>35<\/span>\u0628\u0627<\/span>45<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>35<\/span><\/span><\/span><\/span>
\n<\/span>\n<\/p>\n
\u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0647 \u0631\u0648\u0632 \u0634\u062f\u0647:<\/p>\n
\n
sampled<\/span> =<\/span> [<\/span>\n  {<\/span> x<\/span>:<\/span> 1<\/span>,<\/span> y<\/span>:<\/span> 10<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 2<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 6<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> }<\/span>\n];<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u0645\u0631\u062d\u0644\u0647 \u0634\u0634\u0645: \u0622\u062e\u0631\u06cc\u0646 \u0646\u06a9\u062a\u0647 \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0646\u06cc\u062f<\/strong><\/p>\n
\n
sampled<\/span>[<\/span>sampledIndex<\/span>++<\/span>]<\/span> =<\/span> data<\/span>[<\/span>dataLength<\/span> -<\/span> 1<\/span>];<\/span> \/\/ Add the last point<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u2705 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0645\u06cc\u0634\u0647 \u0628\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0622\u062e\u0631\u06cc\u0646 \u0646\u0642\u0637\u0647 \u0628\u0647 \u067e\u0627\u06cc\u0627\u0646 \u0645\u06cc \u0631\u0633\u062f.<\/p>\n
\ud83d\udcca \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc:<\/p>\n
\n
sampled<\/span> =<\/span> [<\/span>\n  {<\/span> x<\/span>:<\/span> 1<\/span>,<\/span> y<\/span>:<\/span> 10<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 2<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 6<\/span>,<\/span> y<\/span>:<\/span> 20<\/span> },<\/span>\n  {<\/span> x<\/span>:<\/span> 10<\/span>,<\/span> y<\/span>:<\/span> 50<\/span> }<\/span>\n];<\/span>\n<\/code><\/pre>\n
\n
\n    \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0631\u0627 \u0648\u0627\u0631\u062f \u06a9\u0646\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n
    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    \n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n
\u067e\u0627\u06cc\u0627\u0646
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