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2点間の線形補間を計算する

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線形補間とは、次のように2点 (x0, y0) と (x1, y1) を直線で結んだ時に、間にある任意のx座標に対応するyを計算することです。
線形補間の図

Wikipedia先生によるとこの計算は次の式で行えます。

なので、これをそのままメソッドとして実装しました。

Java
static double lerp(double x0, double y0, double x1, double y1, double x) {
  return y0 + (y1 - y0) * (x - x0) / (x1 - x0);
}

一応JavaScriptでも。

JavaScript
function lerp(x0, y0, x1, y1, x) {
  return y0 + (y1 - y0) * (x - x0) / (x1 - x0);
}
niusounds
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