Easing Equations

Math

function easeInSine(x) {
    return 1 - Math.cos((x * Math.PI) / 2);
}

CSS

transition: transform 0.5s cubic-bezier(0.12, 0, 0.39, 0)

Math

function easeOutSine(x) {
    return Math.sin((x * Math.PI) / 2);
}

CSS

transition: transform 0.5s cubic-bezier(0.61, 1, 0.88, 1)

Math

function easeInOutSine(x) {
    return -(Math.cos(Math.PI * x) - 1) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.37, 0, 0.63, 1)

Math

function easeInQuad(x) {
    return x * x;
}

CSS

transition: transform 0.5s cubic-bezier(0.11, 0, 0.5, 0)

Math

function easeOutQuad(x) {
    return 1 - (1 - x) * (1 - x);
}

CSS

transition: transform 0.5s cubic-bezier(0.5, 1, 0.89, 1)

Math

function easeInOutQuad(x) {
    return x < 0.5 ? 2 * x * x : 1 - Math.pow(-2 * x + 2, 2) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.45, 0, 0.55, 1)

Math

function easeInCubic(x) {
    return x * x * x;
}

CSS

transition: transform 0.5s cubic-bezier(0.32, 0, 0.67, 0)

Math

function easeOutCubic(x) {
    return 1 - Math.pow(1 - x, 3);
}

CSS

transition: transform 0.5s cubic-bezier(0.33, 1, 0.68, 1)

Math

function easeInOutCubic(x) {
    return x < 0.5 ? 4 * x * x * x : 1 - Math.pow(-2 * x + 2, 3) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.65, 0, 0.35, 1)

Math

function easeInQuart(x) {
    return x * x * x * x;
}

CSS

transition: transform 0.5s cubic-bezier(0.5, 0, 0.75, 0)

Math

function easeOutQuart(x) {
    return 1 - Math.pow(1 - x, 4);
}

CSS

transition: transform 0.5s cubic-bezier(0.25, 1, 0.5, 1)

Math

function easeInOutQuart(x) {
    return x < 0.5 ? 8 * x * x * x * x : 1 - Math.pow(-2 * x + 2, 4) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.76, 0, 0.24, 1)

Math

function easeInQuint(x) {
    return x * x * x * x * x;
}

CSS

transition: transform 0.5s cubic-bezier(0.64, 0, 0.78, 0)

Math

function easeOutQuint(x) {
    return 1 - Math.pow(1 - x, 5);
}

CSS

transition: transform 0.5s cubic-bezier(0.22, 1, 0.36, 1)

Math

function easeInOutQuint(x) {
    return x < 0.5 ? 16 * x * x * x * x * x : 1 - Math.pow(-2 * x + 2, 5) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.83, 0, 0.17, 1)

Math

function easeInExpo(x) {
    return x === 0 ? 0 : Math.pow(2, 10 * x - 10);
}

CSS

transition: transform 0.5s cubic-bezier(0.7, 0, 0.84, 0)

Math

function easeOutExpo(x) {
    return x === 1 ? 1 : 1 - Math.pow(2, -10 * x);
}

CSS

transition: transform 0.5s cubic-bezier(0.16, 1, 0.3, 1)

Math

function easeInOutExpo(x) {
    return x === 0
    ? 0
    : x === 1
    ? 1
    : x < 0.5 ? Math.pow(2, 20 * x - 10) / 2
    : (2 - Math.pow(2, -20 * x + 10)) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.87, 0, 0.13, 1)

Math

function easeInCirc(x) {
    return 1 - Math.sqrt(1 - Math.pow(x, 2));
}

CSS

transition: transform 0.5s cubic-bezier(0.55, 0, 1, 0.45)

Math

function easeOutCirc(x) {
    return sqrt(1 - Math.pow(x - 1, 2));
}

CSS

transition: transform 0.5s cubic-bezier(0, 0.55, 0.45, 1)

Math

function easeInOutCirc(x) {
    return x < 0.5
    ? (1 - Math.sqrt(1 - Math.pow(2 * x, 2))) / 2
    : (Math.sqrt(1 - Math.pow(-2 * x + 2, 2)) + 1) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.85, 0, 0.15, 1)

Math

function easeInBack(x) {
    const c1 = 1.70158;
    const c3 = c1 + 1;
    return c3 * x * x * x - c1 * x * x;
}

CSS

transition: transform 0.5s cubic-bezier(0.36, 0, 0.66, -0.56)

Math

function easeOutBack(x) {
    const c1 = 1.70158;
    const c3 = c1 + 1;
    return 1 + c3 * Math.pow(x - 1, 3) + c1 * Math.pow(x - 1, 2);
}

CSS

transition: transform 0.5s cubic-bezier(0.34, 1.56, 0.64, 1)

Math

function easeInOutBack(x) {
    const c1 = 1.70158;
    const c2 = c1 * 1.525;
    return x < 0.5
       ? (Math.pow(2 * x, 2) * ((c2 + 1) * 2 * x - c2)) / 2
       : (Math.pow(2 * x - 2, 2) * ((c2 + 1) * (x * 2 - 2) + c2) + 2) / 2;
}

CSS

transition: transform 0.5s cubic-bezier(0.68, -0.6, 0.32, 1.6)

Math

function easeInElastic(x) {
    const c4 = (2 * Math.PI) / 3;
    return x === 0
        ? 0
        : x === 1
        ? 1
        : -Math.pow(2, 10 * x - 10) * Math.sin((x * 10 - 10.75) * c4);
}

CSS

Math

function easeOutElastic(x) {
    const c4 = (2 * Math.PI) / 3;
    return x === 0
    ? 0
    : x === 1
    ? 1
    : Math.pow(2, -10 * x) * Math.sin((x * 10 - 0.75) * c4) + 1;
}

CSS

Math

function easeInOutElastic(x) {
    const c5 = (2 * Math.PI) / 4.5;
    return x === 0
    ? 0
    : x === 1
    ? 1
    : x < 0.5
    ? -(Math.pow(2, 20 * x - 10) * Math.sin((20 * x - 11.125) * c5)) / 2
    : (Math.pow(2, -20 * x + 10) * Math.sin((20 * x - 11.125) * c5)) / 2 + 1;
}

CSS

Math

function easeInBounce(x) {
    return 1 - easeOutBounce(1 - x);
}

CSS

Math

function easeOutBounce(x) {
    const n1 = 7.5625;
    const d1 = 2.75;
    if (x < 1 / d1) {
    return n1 * x * x;
    } else if (x < 2 / d1) {
        return n1 * (x -= 1.5 / d1) * x + 0.75;
    } else if (x < 2.5 / d1) {
        return n1 * (x -= 2.25 / d1) * x + 0.9375;
    } else {
        return n1 * (x -= 2.625 / d1) * x + 0.984375;
    }
}

CSS

Math

function easeInOutBounce(x) {
    return x < 0.5
    ? (1 - easeOutBounce(1 - 2 * x)) / 2
    : (1 + easeOutBounce(2 * x - 1)) / 2;
}

CSS