function cumulativeExponential(base, levels) {
    return Decimal.add(levels, 1).pow_base(base).sub(1).div(Decimal.sub(base, 1))
}
function inverseCumulativeExponential(base, levels) {
    return Decimal.sub(base, 1).mul(levels).add(1).log(base)
}

function getAlphaLevel(points = null) {
    if (points === null && player === null) return new Decimal(0)
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(1.1, Decimal.pow(points, buyableEffect('p', 13).pow(-1))).floor()
}
function getAlphaCost(points = null) {
    return cumulativeExponential(1.1, getAlphaLevel(points)).pow(buyableEffect('p', 13))
}
function getAlphaEffect(points = null) {
    return getAlphaLevel(points).mul(getAlphaRankEffect(points).add(1/20))
}
function getBetaLevel(points = null) {
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(1.25, Decimal.div(Decimal.pow(points, buyableEffect('p', 13).pow(-1)), 5)).floor()
}
function getBetaCost(points = null) {
    return cumulativeExponential(1.25, getBetaLevel(points)).mul(5).pow(buyableEffect('p', 13))
}
function getBetaEffect(points = null) {
    return getBetaLevel(points).mul(getBetaRankEffect(points).add(1/20)).add(1)
}
function getGammaLevel(points = null) {
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(1.5, Decimal.div(Decimal.pow(points, buyableEffect('p', 13).pow(-1)), 15)).floor()
}
function getGammaCost(points = null) {
    return cumulativeExponential(1.5, getGammaLevel(points)).mul(15).pow(buyableEffect('p', 13))
}
function getGammaEffect(points = null) {
    return Decimal.add(null, 1).log(Decimal.pow(50, buyableEffect('p', 12))).add(1).pow(
        getGammaLevel(points).mul(getGammaRankEffect(points).add(1/10))
    )
}
function getDeltaLevel(points = null) {
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(2, Decimal.div(Decimal.pow(points, buyableEffect('p', 13).pow(-1)), 30)).floor()
}
function getDeltaCost(points = null) {
    return cumulativeExponential(2, getDeltaLevel(points)).mul(30).pow(buyableEffect('p', 13))
}
function getDeltaEffect(points = null) {
    return getDeltaLevel(points).mul(getDeltaRankEffect(points).add(1/5)).add(1)
}
function getEpsilonLevel(points = null) {
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(2.5, Decimal.div(Decimal.pow(points, buyableEffect('p', 13).pow(-1)), 50)).floor()
}
function getEpsilonCost(points = null) {
    return cumulativeExponential(2.5, getEpsilonLevel(points)).mul(50).pow(buyableEffect('p', 13))
}
function getEpsilonEffect(points = null) {
    return getEpsilonLevel(points).mul(getEpsilonRankEffect(points).add(1/10)).add(1)
}
function getZetaLevel(points = null) {
    if (Decimal.eq(points, 0)) return new Decimal(0)
    return inverseCumulativeExponential(3, Decimal.div(Decimal.pow(points, buyableEffect('p', 13).pow(-1)), 80)).floor()
}
function getZetaCost(points = null) {
    return cumulativeExponential(3, getZetaLevel(points)).mul(80).pow(buyableEffect('p', 13))
}
function getZetaEffect(points = null) {
    return getZetaLevel(points).mul(getZetaRankEffect().add(1/3)).add(1)
}

function getTotalLevel() {
    return getAlphaLevel().add(getBetaLevel()).add(getGammaLevel()).add(getDeltaLevel()).add(getEpsilonLevel())
        .add(getZetaLevel())
}