easeInOutCubic8()

u8 fl::easeInOutCubic8

(

u8

i

)

8-bit cubic ease-in/ease-out function Takes an input value 0-255 and returns an eased value 0-255 More pronounced easing curve than quadratic

Definition at line 85 of file ease.cpp.hpp.

                                      {
    constexpr u16 MAX = 0xFF;                  // 255
    constexpr u16 HALF = (MAX + 1) >> 1;       // 128
    constexpr u32 DENOM = (u32)MAX * MAX; // 255*255 = 65025
    constexpr u32 ROUND = DENOM >> 1;          // for rounding
 
    if (i < HALF) {
        // first half: y = 4·(i/MAX)³ → y_i = 4·i³ / MAX²
        u32 ii = i;
        u32 cube = ii * ii * ii;    // i³
        u32 num = 4 * cube + ROUND; // 4·i³, +half denom for rounding
        return u8(num / DENOM);
    } else {
        // second half: y = 1 − ((−2·t+2)³)/2
        // where t = i/MAX; equivalently:
        // y_i = MAX − (4·(MAX−i)³ / MAX²)
        u32 d = MAX - i;
        u32 cube = d * d * d; // (MAX−i)³
        u32 num = 4 * cube + ROUND;
        return u8(MAX - (num / DENOM));
    }
}

References FL_NO_EXCEPT.

Referenced by ease8(), and ease8().

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