#![allow(clippy::excessive_precision, clippy::unreadable_literal)]

#[allow(dead_code)]
const fn assert_lookup_lengths() {
    const_assert_eq!(KS.len(), BS.len());
}

#[allow(clippy::cast_possible_truncation, clippy::cast_sign_loss)]
pub fn formula(steps_since_tge: f64, steps: f64) -> u128 {
    let trillion = (steps_since_tge / 1e+12).floor() as usize;
    if trillion < KS.len() {
        (area_under_line(KS[trillion], BS[trillion], steps_since_tge, steps_since_tge + steps) * 1e+18) as u128
    } else {
        (exp_decay(steps_since_tge, steps) * 1e+18) as u128
    }
}

#[allow(clippy::cast_possible_truncation)]
pub fn area_under_line(k: f64, b: f64, x_start: f64, x_end: f64) -> f64 {
    let square_area = (k * x_end + b) * (x_end - x_start);
    let triangle_area = ((k * x_start + b) - (k * x_end + b)) * (x_end - x_start) / 2.;

    square_area + triangle_area
}
pub fn exp_decay(steps_from_tge: f64, steps_to_exchange: f64) -> f64 {
    ((K * (steps_from_tge + steps_to_exchange) + 1000.).ln() - (K * steps_from_tge + 1000.).ln()) / K
}

pub const K: f64 = 0.00000000084;

// one line per trillion, y = KS[i] * x + BS[i]
pub const KS: [f64; 400] = [
    -4.6195652173913043793e-16,
    -1.6864049318624269812e-16,
    -8.8152985074626865086e-17,
    -5.4185779816513761163e-17,
    -3.6679604798870853723e-17,
    -2.647733061640346396e-17,
    -2.0011935931002618118e-17,
    -1.5657006868297385164e-17,
    -1.25841363614352815456e-17,
    -1.0335056671306422701e-17,
    -8.639461436170212733e-18,
    -7.329506994584837517e-18,
    -6.2964892302473771925e-18,
    -5.467484378616061084e-18,
    -4.792089249492900589e-18,
    -4.2345608603552224086e-18,
    -3.7689808704732346046e-18,
    -3.3761838566770166122e-18,
    -3.0417505501193875931e-18,
    -2.7546639813440746164e-18,
    -2.506389545257269611e-18,
    -2.2902327466929876274e-18,
    -2.1008827951947484923e-18,
    -1.9340830269562240405e-18,
    -1.7863894139886578375e-18,
    -1.6549912434325744265e-18,
    -1.5375763241349931305e-18,
    -1.4322285172611436868e-18,
    -1.3373490255813833786e-18,
    -1.2515953476051725358e-18,
    -1.1738335064817742409e-18,
    -1.103100354010849534e-18,
    -1.0385735923556187876e-18,
    -9.795477589605768502e-19,
    -9.254148564917028697e-19,
    -8.756486286137879879e-19,
    -8.2979171788837764683e-19,
    -7.874451174615102528e-19,
    -7.482594599575014517e-19,
    -7.119277867572528269e-19,
    -6.7817951695611894874e-19,
    -6.467753937894629393e-19,
    -6.175032315705432811e-19,
    -5.901743214272737175e-19,
    -5.6462038173660825646e-19,
    -5.4069096091628782634e-19,
    -5.1825121747905058506e-19,
    -4.9718001599393913773e-19,
    -4.7736828860139127754e-19,
    -4.587176205816159903e-19,
    -4.411390256323204896e-19,
    -4.2455188232295839067e-19,
    -4.088830079314256587e-19,
    -3.9406584974926872992e-19,
    -3.8003977713107442156e-19,
    -3.6674946019559970864e-19,
    -3.541443232658000506e-19,
    -3.421780629462798524e-19,
    -3.3080822224711549269e-19,
    -3.1999581342658720344e-19,
    -3.097049832857628047e-19,
    -2.999027155404711424e-19,
    -2.9055856564974429634e-19,
    -2.8164442411775798466e-19,
    -2.7313430482786889643e-19,
    -2.6500415542831503597e-19,
    -2.5723168718251250153e-19,
    -2.497962220333965158e-19,
    -2.4267855491982619494e-19,
    -2.3586082963110867015e-19,
    -2.2932642669937610756e-19,
    -2.2305986201403206454e-19,
    -2.170466950021005176e-19,
    -2.1127344535669949211e-19,
    -2.0572751741608613105e-19,
    -2.0039713140037014175e-19,
    -1.9527126080425835883e-19,
    -1.9033957532393433473e-19,
    -1.855923887659739793e-19,
    -1.810206114473986654e-19,
    -1.7661570664972152603e-19,
    -1.7236965073713520616e-19,
    -1.6827489659066479677e-19,
    -1.6432434004689290244e-19,
    -1.6051128906237936496e-19,
    -1.5682943535368469915e-19,
    -1.5327282828842835149e-19,
    -1.498358508254737379e-19,
    -1.4651319732248012684e-19,
    -1.4329985304700014566e-19,
    -1.4019107524329456406e-19,
    -1.3718237562131277029e-19,
    -1.342695041470482917e-19,
    -1.314484340248992039e-19,
    -1.2871534777289634843e-19,
    -1.2606662430084262743e-19,
    -1.23498826909651846e-19,
    -1.2100869213758973447e-19,
    -1.1859311938579374149e-19,
    -1.1624916126146275974e-19,
    -1.1397401458253385229e-19,
    -1.1176501199256319127e-19,
    -1.0961961413895823002e-19,
    -1.07535402371716834336e-19,
    -1.05510071923460282696e-19,
    -1.03541425534839524406e-19,
    -1.0162736749238210123e-19,
    -9.9765898048561758293e-20,
    -9.795510819634067199e-20,
    -9.6193174772680584445e-20,
    -9.447835586756488332e-20,
    -9.2808986516939001874e-20,
    -9.118347465967818429e-20,
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    -5.2598385545811852415e-20,
    -5.19025958787491446e-20,
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    -5.0551804925569458667e-20,
    -4.9896098993860403153e-20,
    -4.9253068568042013268e-20,
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    -4.7396835396056984764e-20,
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    -4.564359444074631573e-20,
    -4.5080755049521610664e-20,
    -4.4528262574447228118e-20,
    -4.3985864944480063777e-20,
    -4.345331771828572485e-20,
    -4.293038380878199908e-20,
    -4.2416833219215253855e-20,
    -4.1912442790221187573e-20,
    -4.141699595735057459e-20,
    -4.0930282518568055114e-20,
    -4.045209841125794141e-20,
    -3.9982245498295321748e-20,
    -3.9520531362763728372e-20,
    -3.906676911092226449e-20,
    -3.8620777183045467817e-20,
    -3.8182379171778464848e-20,
    -3.775140364766809272e-20,
    -3.7327683991547819605e-20,
    -3.6911058233470486198e-20,
    -3.650136889789813957e-20,
    -3.6098462854872718676e-20,
    -3.5702191176904958385e-20,
    -3.5312409001331782045e-20,
    -3.4928975397904704835e-20,
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    -2.103760418623025554e-20,
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    -2.0176168325337268947e-20,
    -2.0010239390607649911e-20,
    -1.9846348974381923932e-20,
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    -1.721003125454257065e-20,
    -1.7079251208823231713e-20,
    -1.694995622851130363e-20,
    -1.6822123913625781254e-20,
    -1.6695732284936642869e-20,
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    -1.6084643443917900453e-20,
    -1.5966456770607096573e-20,
    -1.5849567946419281606e-20,
    -1.5733958037813930878e-20,
    -1.5619608455258439183e-20,
    -1.5506500945754843392e-20,
    -1.5394617585555272932e-20,
    -1.5283940773060694385e-20,
    -1.5174453221897715826e-20,
    -1.5066137954168329797e-20,
    -1.4958978293867725739e-20,
    -1.4852957860465355624e-20,
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    -1.27789373411883577184e-20,
    -1.2695193329902679745e-20,
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    -1.2530156150215296598e-20,
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    -9.3156313336435258164e-21,
    -9.263470752919218914e-21,
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    -9.160455328649642647e-21,
    -9.1095908225942109775e-21,
    -9.059148790353082744e-21,
    -9.009124566162334732e-21,
    -8.9595135484910595096e-21,
    -8.910311198983132382e-21,
    -8.8615130414192659845e-21,
    -8.8131146606989006736e-21,
    -8.765111701841508216e-21,
    -8.7174998690068803136e-21,
    -8.670274924533993949e-21,
    -8.623432687998049683e-21,
    -8.576969035285295574e-21,
    -8.53087989768524712e-21,
    -8.485161260999936165e-21,
    -8.439809164669827073e-21,
    -8.3948197009160341586e-21,
    -8.350189013898505974e-21,
    -8.3059132988898282136e-21,
    -8.261988801464321808e-21,
    -8.218411816702108856e-21,
    -8.17517868840783412e-21,
    -8.132285808343732739e-21,
    -8.089729615476746148e-21,
    -8.047506595239387813e-21,
    -8.005613278804081045e-21,
    -7.9640462423706812495e-21,
    -7.922802106466911705e-21,
    -7.881877535261450244e-21,
    -7.841269235889396545e-21,
    -7.800973957789879136e-21,
    -7.760988492055540298e-21,
    -7.7213096707936610455e-21,
    -7.681934366498696451e-21,
    -7.642859491435968189e-21,
    -7.604081997036317211e-21,
    -7.565598873301466778e-21,
    -7.527407148219896656e-21,
    -7.4895038871930130455e-21,
    -7.451886192471402862e-21,
    -7.414551202600974695e-21,
    -7.377496091878789765e-21,
    2.2332872434632680135e-20,
];
pub const BS: [f64; 400] = [
    0.001,
    0.0007066839714471122602,
    0.0005457089552238805941,
    0.0004438073394495412823,
    0.00037378263937896965256,
    0.00032277126846663270373,
    0.00028397890035422762867,
    0.000253494396915290998,
    0.00022891143286039416905,
    0.00020866971564923443944,
    0.00019171376329787233977,
    0.0001773042644404332124,
    0.0001649080512683836885,
    0.00015413098819717657909,
    0.00014467545638945233216,
    0.00013631253055238715945,
    0.00012886325071427535459,
    0.00012218570147973964872,
    0.000116165901961702326376,
    0.00011071125715497137982,
    0.000105745768433235279713,
    0.000101206475663385358056,
    9.704077673042409709e-05,
    9.320438206093803469e-05,
    8.965973534971644582e-05,
    8.6374781085814360547e-05,
    8.332199318407724685e-05,
    8.047760239848331187e-05,
    7.782097663145002324e-05,
    7.5334119970139908794e-05,
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#[cfg(test)]
mod tests {
    use super::*;
    const EPS: f64 = 0.00001;

    #[test]
    fn formula_test() {
        let steps_to_convert = [1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000];
        let steps_from_tge = [
            1,
            10,
            100,
            1000,
            10000,
            100000,
            1000000,
            10000000,
            100000000,
            1000000000,
            10000000000,
            100000000000,
            1000000000000,
            10000000000000,
            100000000000000,
            1000000000000000u64,
        ];
        let mut test_number = 0;
        for tge in steps_from_tge {
            for steps in steps_to_convert {
                let formula_res = formula(tge as f64, steps as f64) as f64 / 1e+18;
                let diff = formula_res - TEST_RESULTS[test_number];
                assert!(diff.abs() < EPS);
                test_number += 1;
            }
        }
    }

    pub const TEST_RESULTS: [f64; 144] = [
        0.0009999999999993069988,
        0.0099999999999722827965,
        0.09999999999764401515,
        0.99999999976855979966,
        9.999999976897553822,
        99.99999769017119888,
        999.9997690212771886,
        9999.97690216929368,
        99997.69021734510898,
        0.0009999999999951495171,
        0.009999999999930706679,
        0.09999999999722826438,
        0.99999999976440212546,
        9.99999997685597819,
        99.99999768975543191,
        999.99976901711954724,
        9999.9769021277170395,
        99997.69021692934621,
        0.0009999999999535733996,
        0.0099999999995149455034,
        0.09999999999307064569,
        0.99999999972282604954,
        9.9999999764402165425,
        99.999997685597818986,
        999.9997689755434749,
        9999.9769017119560885,
        99997.69021277173306,
        0.0009999999995378124409,
        0.009999999995357337218,
        0.09999999995149456977,
        0.99999999930706517937,
        9.999999972282608951,
        99.99999764402173241,
        999.99976855978263757,
        9999.9768975543483975,
        99997.690171195645235,
        0.0009999999953802037218,
        0.0099999999537812491596,
        0.099999999535733699596,
        0.9999999951494564776,
        9.9999999307065223775,
        99.99999722826086668,
        999.99976440217392337,
        9999.9768559782605735,
        99997.689755434781546,
        0.0009999999538041167476,
        0.009999999538020380718,
        0.099999995378124997836,
        0.999999953573369571,
        9.999999514945651313,
        99.999993070652180904,
        999.9997228260870088,
        9999.976440217391428,
        99997.68559782608645,
        0.0009999995380432472221,
        0.009999995380411684162,
        0.09999995380203804962,
        0.9999995378124999501,
        9.999995357336956658,
        99.9999514945652237,
        999.9993070652174083,
        9999.972282608696332,
        99997.644021739135496,
        0.0009999953804345515333,
        0.009999953804324729009,
        0.099999538041168484215,
        0.99999538020380429604,
        9.999953781249999452,
        99.99953573369565163,
        999.99514945652174447,
        9999.930706521739921,
        99997.22826086956775,
        0.0009999538043475950794,
        0.009999538043455163602,
        0.099995380432472830146,
        0.99995380411684786637,
        9.999538020380434489,
        99.995378125000002,
        999.95357336956521976,
        9999.514945652173992,
        99993.07065217391937,
        0.0009995380434780298893,
        0.009995380434759511268,
        0.09995380434551630333,
        0.99953804324728257047,
        9.995380411684783084,
        99.953802038043477296,
        999.5378124999999727,
        9995.357336956521976,
        99951.49456521739194,
        0.0009953804347823777716,
        0.009953804347802989658,
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        9.9538043247282601556,
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        9953.78125,
        99535.73369565217581,
        0.0009538043478258559447,
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        9.538043455163043305,
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        9538.020380434782055,
        95378.125,
        0.0005380434782607852349,
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        0.53804347817654929464,
        5.3804347741766713753,
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