05四分位数を箱とひげで描くボックスプロット

<main class="stage">
<div class="bxw is-demo" id="bxwRoot">
  <canvas class="bxw__canvas" id="bxwCanvas" width="480" height="300"></canvas>
  <p class="bxw__caption">値を並び替えて四分位境界を計算し、箱の高さとひげの長さに置き換えて描くことで、中央値とばらつきの度合いが一つの図形に収まる。</p>
</div>
</main>

@use "../../../../site/static/demo-tokens" as *;
@include stage($stage-ink);

.bxw {
  position: relative;
  width: min(92vw, calc(160vh - 12.8vw));
  aspect-ratio: 480 / 300;
  margin: 0 auto;
  border-radius: $r-card;
  overflow: hidden;
  box-shadow: $shadow-raised;
  background: $stage-ink;
}

.bxw__canvas {
  display: block;
  width: 100%;
  height: 100%;
}

.bxw__caption {
  position: absolute;
  left: $sp-3;
  bottom: $sp-3;
  max-width: 78%;
  margin: 0;
  padding: $sp-1 $sp-3;
  border-radius: $r-pill;
  background: rgba(255, 247, 230, .85);
  color: $subject-ink;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
  pointer-events: none;
}

@media (max-width: 340px) {
  .bxw__caption { font-size: 10px; padding: $sp-1 $sp-2; }
}

@media (prefers-reduced-motion: reduce) {
  .bxw { cursor: default; }
}

html, body {
  margin: 0;
  overflow: hidden;
}

.stage {
  box-sizing: border-box;
  min-height: 100vh;
  display: grid;
  place-items: center;
  margin: 0;
  background: #17141a;
  font-family: -apple-system, "Segoe UI", "Noto Sans KR", sans-serif;
  padding: clamp(8px, 4vw, 24px);
}

.bxw {
  position: relative;
  width: min(92vw, 160vh - 12.8vw);
  aspect-ratio: 480/300;
  margin: 0 auto;
  border-radius: 16px;
  overflow: hidden;
  box-shadow: 0 14px 24px rgba(23, 20, 26, 0.32);
  background: #17141a;
}

.bxw__canvas {
  display: block;
  width: 100%;
  height: 100%;
}

.bxw__caption {
  position: absolute;
  left: 12px;
  bottom: 12px;
  max-width: 78%;
  margin: 0;
  padding: 4px 12px;
  border-radius: 999px;
  background: rgba(255, 247, 230, 0.85);
  color: #17141a;
  font-weight: 500;
  font-size: 12px;
  line-height: 1.4;
  pointer-events: none;
}

@media (max-width: 340px) {
  .bxw__caption {
    font-size: 10px;
    padding: 4px 8px;
  }
}
@media (prefers-reduced-motion: reduce) {
  .bxw {
    cursor: default;
  }
}

(function () {
  // 기법: 두 그룹 각각에 표본 집합을 두 벌씩 두고 사분위(최소·1사분위·중앙값·3사분위·최대)를
  // 미리 계산해둔다. 매 프레임 삼각파(0→1→0)로 두 표본 집합의 사분위 값을 요소별로 보간해
  // 그 프레임의 상자·수염 좌표를 다시 계산해서 그린다 — 정적인 두 장을 겹쳐 페이드하는 것이
  // 아니라 통계값 자체가 시간에 따라 움직인다.
  var root = document.getElementById('bxwRoot');
  var canvas = document.getElementById('bxwCanvas');
  var ctx = canvas.getContext('2d');
  var wrap = canvas.parentElement;

  function seedRand(seed) {
    var s = seed >>> 0;
    return function () { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
  }

  var CALC_W = 480, CALC_H = 300;
  var LOOP_MS = 800;
  var T0 = 200;
  function clamp(v, a, b) { return Math.max(a, Math.min(b, v)); }

  var rand = seedRand(425051);
  function sample(n) {
    var out = [];
    for (var i = 0; i < n; i += 1) out.push(20 + rand() * 80);
    return out;
  }
  var GROUP_A_1 = sample(9), GROUP_A_2 = sample(9);
  var GROUP_B_1 = sample(9), GROUP_B_2 = sample(9);

  function quartiles(arr) {
    var s = arr.slice().sort(function (a, b) { return a - b; });
    function pct(p) {
      var idx = (s.length - 1) * p, lo = Math.floor(idx), hi = Math.ceil(idx);
      return s[lo] + (s[hi] - s[lo]) * (idx - lo);
    }
    return { min: s[0], q1: pct(0.25), med: pct(0.5), q3: pct(0.75), max: s[s.length - 1] };
  }
  var qA1 = quartiles(GROUP_A_1), qA2 = quartiles(GROUP_A_2);
  var qB1 = quartiles(GROUP_B_1), qB2 = quartiles(GROUP_B_2);

  function lerp(x0, x1, f) { return x0 + (x1 - x0) * f; }
  function lerpStats(s1, s2, f) {
    return {
      min: lerp(s1.min, s2.min, f),
      q1: lerp(s1.q1, s2.q1, f),
      med: lerp(s1.med, s2.med, f),
      q3: lerp(s1.q3, s2.q3, f),
      max: lerp(s1.max, s2.max, f)
    };
  }

  var DOMAIN_MIN = 10, DOMAIN_MAX = 115;
  var PLOT_TOP = 22, PLOT_BOTTOM = 292;
  function valueToY(v) {
    var f = (v - DOMAIN_MIN) / (DOMAIN_MAX - DOMAIN_MIN);
    return PLOT_BOTTOM - f * (PLOT_BOTTOM - PLOT_TOP);
  }

  var BOX_FILL = ['47,109,246', '43,157,116'];
  var CREAM_LINE = '255,247,230';
  var BOX_WIDTH = 172;
  var GROUP_X = [134, 346];
  var OUTLIER_MULT = 1.2;

  function drawBox(cx, stats, fillRgb, sx, sy, showOutlier) {
    var yMin = valueToY(stats.min), yQ1 = valueToY(stats.q1);
    var yMed = valueToY(stats.med), yQ3 = valueToY(stats.q3), yMax = valueToY(stats.max);
    var xLeft = cx - BOX_WIDTH / 2;
    var capHalf = BOX_WIDTH * 0.22;

    ctx.strokeStyle = 'rgba(' + CREAM_LINE + ',.9)';
    ctx.lineWidth = 2;
    ctx.beginPath();
    ctx.moveTo(cx * sx, yMax * sy); ctx.lineTo(cx * sx, yQ3 * sy); ctx.stroke();
    ctx.beginPath();
    ctx.moveTo(cx * sx, yQ1 * sy); ctx.lineTo(cx * sx, yMin * sy); ctx.stroke();

    ctx.beginPath();
    ctx.moveTo((cx - capHalf) * sx, yMax * sy); ctx.lineTo((cx + capHalf) * sx, yMax * sy); ctx.stroke();
    ctx.beginPath();
    ctx.moveTo((cx - capHalf) * sx, yMin * sy); ctx.lineTo((cx + capHalf) * sx, yMin * sy); ctx.stroke();

    ctx.fillStyle = 'rgba(' + fillRgb + ',.7)';
    ctx.fillRect(xLeft * sx, yQ3 * sy, BOX_WIDTH * sx, (yQ1 - yQ3) * sy);
    ctx.strokeStyle = 'rgba(' + CREAM_LINE + ',.9)';
    ctx.strokeRect(xLeft * sx, yQ3 * sy, BOX_WIDTH * sx, (yQ1 - yQ3) * sy);

    ctx.beginPath();
    ctx.moveTo(xLeft * sx, yMed * sy);
    ctx.lineTo((xLeft + BOX_WIDTH) * sx, yMed * sy);
    ctx.lineWidth = 2.4;
    ctx.stroke();

    if (showOutlier) {
      var yOut = valueToY(stats.max * OUTLIER_MULT);
      ctx.beginPath();
      ctx.fillStyle = 'rgba(' + CREAM_LINE + ',.95)';
      ctx.arc(cx * sx, yOut * sy, 4.4, 0, Math.PI * 2);
      ctx.fill();
      ctx.strokeStyle = 'rgba(' + fillRgb + ',.95)';
      ctx.lineWidth = 1.6;
      ctx.stroke();
    }
  }

  var cw = 480, ch = 300;
  function draw(phase) {
    var sx = cw / CALC_W, sy = ch / CALC_H;
    ctx.clearRect(0, 0, cw, ch);
    var t = Math.max(0, phase - T0);
    var half = (LOOP_MS - T0) / 2;
    var blend = t < half ? t / half : 2 - t / half;
    blend = clamp(blend, 0, 1);
    var statsA = lerpStats(qA1, qA2, blend);
    var statsB = lerpStats(qB1, qB2, blend);
    drawBox(GROUP_X[0], statsA, BOX_FILL[0], sx, sy, blend > 0.62);
    drawBox(GROUP_X[1], statsB, BOX_FILL[1], sx, sy, blend < 0.38);
  }

  var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
  var elapsed = 0;
  if (reduce) root.classList.remove('is-demo');

  function phaseOf(ms) { return reduce ? LOOP_MS * 0.5 : (ms % LOOP_MS); }

  function fit() {
    var r = wrap.getBoundingClientRect();
    cw = Math.max(1, Math.round(r.width));
    ch = Math.max(1, Math.round(r.height));
    canvas.width = cw; canvas.height = ch;
    draw(phaseOf(elapsed));
  }

  var lastTs = null;
  function tick(ts) {
    if (lastTs === null) lastTs = ts;
    var dt = Math.min(ts - lastTs, 48);
    lastTs = ts;
    if (!reduce) elapsed += dt;
    draw(phaseOf(elapsed));
    requestAnimationFrame(tick);
  }
  fit();
  window.addEventListener('resize', fit);
  draw(phaseOf(elapsed));
  requestAnimationFrame(tick);
})();

import { useEffect, useRef } from "react";
import styles from "./ChartAdvancedBoxplotQuartileWhisker.module.scss";

type Stats = { min: number; q1: number; med: number; q3: number; max: number };

export default function ChartAdvancedBoxplotQuartileWhisker() {
  const rootRef = useRef<HTMLDivElement>(null);
  const canvasRef = useRef<HTMLCanvasElement>(null);

  useEffect(() => {
    const root = rootRef.current;
    const canvas = canvasRef.current;
    if (!root || !canvas) return;
    const ctx = canvas.getContext("2d");
    if (!ctx) return;
    const wrap = canvas.parentElement as HTMLElement;

    function seedRand(seed: number) {
      let s = seed >>> 0;
      return function () { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
    }

    const CALC_W = 480, CALC_H = 300;
    const LOOP_MS = 800;
    const T0 = 200;
    function clamp(v: number, a: number, b: number) { return Math.max(a, Math.min(b, v)); }

    const rand = seedRand(425051);
    function sample(n: number) {
      const out: number[] = [];
      for (let i = 0; i < n; i += 1) out.push(20 + rand() * 80);
      return out;
    }
    const GROUP_A_1 = sample(9), GROUP_A_2 = sample(9);
    const GROUP_B_1 = sample(9), GROUP_B_2 = sample(9);

    function quartiles(arr: number[]): Stats {
      const s = arr.slice().sort(function (a, b) { return a - b; });
      function pct(p: number) {
        const idx = (s.length - 1) * p, lo = Math.floor(idx), hi = Math.ceil(idx);
        return s[lo] + (s[hi] - s[lo]) * (idx - lo);
      }
      return { min: s[0], q1: pct(0.25), med: pct(0.5), q3: pct(0.75), max: s[s.length - 1] };
    }
    const qA1 = quartiles(GROUP_A_1), qA2 = quartiles(GROUP_A_2);
    const qB1 = quartiles(GROUP_B_1), qB2 = quartiles(GROUP_B_2);

    function lerp(x0: number, x1: number, f: number) { return x0 + (x1 - x0) * f; }
    function lerpStats(s1: Stats, s2: Stats, f: number): Stats {
      return {
        min: lerp(s1.min, s2.min, f),
        q1: lerp(s1.q1, s2.q1, f),
        med: lerp(s1.med, s2.med, f),
        q3: lerp(s1.q3, s2.q3, f),
        max: lerp(s1.max, s2.max, f)
      };
    }

    const DOMAIN_MIN = 10, DOMAIN_MAX = 115;
    const PLOT_TOP = 22, PLOT_BOTTOM = 292;
    function valueToY(v: number) {
      const f = (v - DOMAIN_MIN) / (DOMAIN_MAX - DOMAIN_MIN);
      return PLOT_BOTTOM - f * (PLOT_BOTTOM - PLOT_TOP);
    }

    const BOX_FILL = ["47,109,246", "43,157,116"];
    const CREAM_LINE = "255,247,230";
    const BOX_WIDTH = 172;
    const GROUP_X = [134, 346];
    const OUTLIER_MULT = 1.2;

    let cw = 480, ch = 300;
    function drawBox(cx: number, stats: Stats, fillRgb: string, sx: number, sy: number, showOutlier: boolean) {
      const yMin = valueToY(stats.min), yQ1 = valueToY(stats.q1);
      const yMed = valueToY(stats.med), yQ3 = valueToY(stats.q3), yMax = valueToY(stats.max);
      const xLeft = cx - BOX_WIDTH / 2;
      const capHalf = BOX_WIDTH * 0.22;

      ctx!.strokeStyle = "rgba(" + CREAM_LINE + ",.9)";
      ctx!.lineWidth = 2;
      ctx!.beginPath();
      ctx!.moveTo(cx * sx, yMax * sy); ctx!.lineTo(cx * sx, yQ3 * sy); ctx!.stroke();
      ctx!.beginPath();
      ctx!.moveTo(cx * sx, yQ1 * sy); ctx!.lineTo(cx * sx, yMin * sy); ctx!.stroke();

      ctx!.beginPath();
      ctx!.moveTo((cx - capHalf) * sx, yMax * sy); ctx!.lineTo((cx + capHalf) * sx, yMax * sy); ctx!.stroke();
      ctx!.beginPath();
      ctx!.moveTo((cx - capHalf) * sx, yMin * sy); ctx!.lineTo((cx + capHalf) * sx, yMin * sy); ctx!.stroke();

      ctx!.fillStyle = "rgba(" + fillRgb + ",.7)";
      ctx!.fillRect(xLeft * sx, yQ3 * sy, BOX_WIDTH * sx, (yQ1 - yQ3) * sy);
      ctx!.strokeStyle = "rgba(" + CREAM_LINE + ",.9)";
      ctx!.strokeRect(xLeft * sx, yQ3 * sy, BOX_WIDTH * sx, (yQ1 - yQ3) * sy);

      ctx!.beginPath();
      ctx!.moveTo(xLeft * sx, yMed * sy);
      ctx!.lineTo((xLeft + BOX_WIDTH) * sx, yMed * sy);
      ctx!.lineWidth = 2.4;
      ctx!.stroke();

      if (showOutlier) {
        const yOut = valueToY(stats.max * OUTLIER_MULT);
        ctx!.beginPath();
        ctx!.fillStyle = "rgba(" + CREAM_LINE + ",.95)";
        ctx!.arc(cx * sx, yOut * sy, 4.4, 0, Math.PI * 2);
        ctx!.fill();
        ctx!.strokeStyle = "rgba(" + fillRgb + ",.95)";
        ctx!.lineWidth = 1.6;
        ctx!.stroke();
      }
    }

    function draw(phase: number) {
      const sx = cw / CALC_W, sy = ch / CALC_H;
      ctx!.clearRect(0, 0, cw, ch);
      const t = Math.max(0, phase - T0);
      const half = (LOOP_MS - T0) / 2;
      let blend = t < half ? t / half : 2 - t / half;
      blend = clamp(blend, 0, 1);
      const statsA = lerpStats(qA1, qA2, blend);
      const statsB = lerpStats(qB1, qB2, blend);
      drawBox(GROUP_X[0], statsA, BOX_FILL[0], sx, sy, blend > 0.62);
      drawBox(GROUP_X[1], statsB, BOX_FILL[1], sx, sy, blend < 0.38);
    }

    const reduce = window.matchMedia("(prefers-reduced-motion: reduce)").matches;
    let elapsed = 0;
    if (reduce) root.classList.remove("is-demo");

    function phaseOf(ms: number) { return reduce ? LOOP_MS * 0.5 : (ms % LOOP_MS); }

    function fit() {
      const r = wrap.getBoundingClientRect();
      cw = Math.max(1, Math.round(r.width));
      ch = Math.max(1, Math.round(r.height));
      canvas!.width = cw; canvas!.height = ch;
      draw(phaseOf(elapsed));
    }

    let lastTs: number | null = null;
    let raf = 0;
    function tick(ts: number) {
      if (lastTs === null) lastTs = ts;
      const dt = Math.min(ts - lastTs, 48);
      lastTs = ts;
      if (!reduce) elapsed += dt;
      draw(phaseOf(elapsed));
      raf = requestAnimationFrame(tick);
    }
    fit();
    window.addEventListener("resize", fit);
    draw(phaseOf(elapsed));
    raf = requestAnimationFrame(tick);

    return () => {
      cancelAnimationFrame(raf);
      window.removeEventListener("resize", fit);
    };
  }, []);

  return (
    <main className={styles.stage}>
      <div className={`${styles.bxw} is-demo`} ref={rootRef}>
        <canvas className={styles.bxw__canvas} ref={canvasRef} width={480} height={300} />
        <p className={styles.bxw__caption}>값들을 정렬해 사분위 경계를 계산한 뒤 상자 높이와 수염 길이로 옮겨 그려, 중앙값과 흩어진 정도가 한 도형에 담긴다.</p>
      </div>
    </main>
  );
}