#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r22291 = 2;
        float r22292 = n;
        float r22293 = r22291 * r22292;
        float r22294 = U;
        float r22295 = r22293 * r22294;
        float r22296 = t;
        float r22297 = l;
        float r22298 = r22297 * r22297;
        float r22299 = Om;
        float r22300 = r22298 / r22299;
        float r22301 = r22291 * r22300;
        float r22302 = r22296 - r22301;
        float r22303 = r22297 / r22299;
        float r22304 = pow(r22303, r22291);
        float r22305 = r22292 * r22304;
        float r22306 = U_;
        float r22307 = r22294 - r22306;
        float r22308 = r22305 * r22307;
        float r22309 = r22302 - r22308;
        float r22310 = r22295 * r22309;
        float r22311 = sqrt(r22310);
        return r22311;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22312 = 2;
        double r22313 = n;
        double r22314 = r22312 * r22313;
        double r22315 = U;
        double r22316 = r22314 * r22315;
        double r22317 = t;
        double r22318 = l;
        double r22319 = r22318 * r22318;
        double r22320 = Om;
        double r22321 = r22319 / r22320;
        double r22322 = r22312 * r22321;
        double r22323 = r22317 - r22322;
        double r22324 = r22318 / r22320;
        double r22325 = pow(r22324, r22312);
        double r22326 = r22313 * r22325;
        double r22327 = U_;
        double r22328 = r22315 - r22327;
        double r22329 = r22326 * r22328;
        double r22330 = r22323 - r22329;
        double r22331 = r22316 * r22330;
        double r22332 = sqrt(r22331);
        return r22332;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22333 = 2;
        float r22334 = U;
        float r22335 = n;
        float r22336 = r22334 * r22335;
        float r22337 = r22333 * r22336;
        float r22338 = -2.4387492809577554e-237;
        bool r22339 = r22337 <= r22338;
        float r22340 = l;
        float r22341 = Om;
        float r22342 = r22340 / r22341;
        float r22343 = r22342 * r22335;
        float r22344 = U_;
        float r22345 = r22344 - r22334;
        float r22346 = r22341 / r22340;
        float r22347 = r22345 / r22346;
        float r22348 = t;
        float r22349 = fma(r22343, r22347, r22348);
        float r22350 = r22333 * r22334;
        float r22351 = r22335 * r22350;
        float r22352 = r22333 / r22341;
        float r22353 = -r22340;
        float r22354 = r22352 * r22353;
        float r22355 = r22340 * r22334;
        float r22356 = r22335 * r22333;
        float r22357 = r22355 * r22356;
        float r22358 = r22354 * r22357;
        float r22359 = fma(r22349, r22351, r22358);
        float r22360 = 0;
        float r22361 = r22334 * r22360;
        float r22362 = r22356 * r22361;
        float r22363 = r22359 + r22362;
        float r22364 = sqrt(r22363);
        float r22365 = 3.065555060109775e-287;
        bool r22366 = r22337 <= r22365;
        float r22367 = r22333 * r22335;
        float r22368 = r22345 * r22342;
        float r22369 = r22335 / r22346;
        float r22370 = fma(r22368, r22369, r22348);
        float r22371 = r22333 * r22340;
        float r22372 = r22371 / r22346;
        float r22373 = r22370 - r22372;
        float r22374 = r22367 * r22373;
        float r22375 = r22334 * r22374;
        float r22376 = sqrt(r22375);
        float r22377 = r22334 * r22367;
        float r22378 = sqrt(r22377);
        float r22379 = sqrt(r22373);
        float r22380 = r22378 * r22379;
        float r22381 = r22366 ? r22376 : r22380;
        float r22382 = r22339 ? r22364 : r22381;
        return r22382;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22383 = 2;
        double r22384 = U;
        double r22385 = n;
        double r22386 = r22384 * r22385;
        double r22387 = r22383 * r22386;
        double r22388 = -2.4387492809577554e-237;
        bool r22389 = r22387 <= r22388;
        double r22390 = l;
        double r22391 = Om;
        double r22392 = r22390 / r22391;
        double r22393 = r22392 * r22385;
        double r22394 = U_;
        double r22395 = r22394 - r22384;
        double r22396 = r22391 / r22390;
        double r22397 = r22395 / r22396;
        double r22398 = t;
        double r22399 = fma(r22393, r22397, r22398);
        double r22400 = r22383 * r22384;
        double r22401 = r22385 * r22400;
        double r22402 = r22383 / r22391;
        double r22403 = -r22390;
        double r22404 = r22402 * r22403;
        double r22405 = r22390 * r22384;
        double r22406 = r22385 * r22383;
        double r22407 = r22405 * r22406;
        double r22408 = r22404 * r22407;
        double r22409 = fma(r22399, r22401, r22408);
        double r22410 = 0;
        double r22411 = r22384 * r22410;
        double r22412 = r22406 * r22411;
        double r22413 = r22409 + r22412;
        double r22414 = sqrt(r22413);
        double r22415 = 3.065555060109775e-287;
        bool r22416 = r22387 <= r22415;
        double r22417 = r22383 * r22385;
        double r22418 = r22395 * r22392;
        double r22419 = r22385 / r22396;
        double r22420 = fma(r22418, r22419, r22398);
        double r22421 = r22383 * r22390;
        double r22422 = r22421 / r22396;
        double r22423 = r22420 - r22422;
        double r22424 = r22417 * r22423;
        double r22425 = r22384 * r22424;
        double r22426 = sqrt(r22425);
        double r22427 = r22384 * r22417;
        double r22428 = sqrt(r22427);
        double r22429 = sqrt(r22423);
        double r22430 = r22428 * r22429;
        double r22431 = r22416 ? r22426 : r22430;
        double r22432 = r22389 ? r22414 : r22431;
        return r22432;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22433, "2", 10, MPFR_RNDN);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22434, n, MPFR_RNDN);
        mpfr_mul(r22435, r22433, r22434, MPFR_RNDN);
        mpfr_set_d(r22436, U, MPFR_RNDN);
        mpfr_mul(r22437, r22435, r22436, MPFR_RNDN);
        mpfr_set_d(r22438, t, MPFR_RNDN);
        mpfr_set_d(r22439, l, MPFR_RNDN);
        mpfr_mul(r22440, r22439, r22439, MPFR_RNDN);
        mpfr_set_d(r22441, Om, MPFR_RNDN);
        mpfr_div(r22442, r22440, r22441, MPFR_RNDN);
        mpfr_mul(r22443, r22433, r22442, MPFR_RNDN);
        mpfr_sub(r22444, r22438, r22443, MPFR_RNDN);
        mpfr_div(r22445, r22439, r22441, MPFR_RNDN);
        mpfr_pow(r22446, r22445, r22433, MPFR_RNDN);
        mpfr_mul(r22447, r22434, r22446, MPFR_RNDN);
        mpfr_set_d(r22448, U_, MPFR_RNDN);
        mpfr_sub(r22449, r22436, r22448, MPFR_RNDN);
        mpfr_mul(r22450, r22447, r22449, MPFR_RNDN);
        mpfr_sub(r22451, r22444, r22450, MPFR_RNDN);
        mpfr_mul(r22452, r22437, r22451, MPFR_RNDN);
        mpfr_sqrt(r22453, r22452, MPFR_RNDN);
        return mpfr_get_d(r22453, MPFR_RNDN);
}

static mpfr_t r22454, r22455, r22456, r22457, r22458, r22459, r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22454, "2", 10, MPFR_RNDN);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init_set_str(r22459, "-2.4387492809577554e-237", 10, MPFR_RNDN);
        mpfr_init(r22460);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init(r22463);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init(r22469);
        mpfr_init(r22470);
        mpfr_init(r22471);
        mpfr_init(r22472);
        mpfr_init(r22473);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init_set_str(r22481, "0", 10, MPFR_RNDN);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init_set_str(r22486, "3.065555060109775e-287", 10, MPFR_RNDN);
        mpfr_init(r22487);
        mpfr_init(r22488);
        mpfr_init(r22489);
        mpfr_init(r22490);
        mpfr_init(r22491);
        mpfr_init(r22492);
        mpfr_init(r22493);
        mpfr_init(r22494);
        mpfr_init(r22495);
        mpfr_init(r22496);
        mpfr_init(r22497);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22455, U, MPFR_RNDN);
        mpfr_set_d(r22456, n, MPFR_RNDN);
        mpfr_mul(r22457, r22455, r22456, MPFR_RNDN);
        mpfr_mul(r22458, r22454, r22457, MPFR_RNDN);
        ;
        mpfr_set_si(r22460, mpfr_cmp(r22458, r22459) <= 0, MPFR_RNDN);
        mpfr_set_d(r22461, l, MPFR_RNDN);
        mpfr_set_d(r22462, Om, MPFR_RNDN);
        mpfr_div(r22463, r22461, r22462, MPFR_RNDN);
        mpfr_mul(r22464, r22463, r22456, MPFR_RNDN);
        mpfr_set_d(r22465, U_, MPFR_RNDN);
        mpfr_sub(r22466, r22465, r22455, MPFR_RNDN);
        mpfr_div(r22467, r22462, r22461, MPFR_RNDN);
        mpfr_div(r22468, r22466, r22467, MPFR_RNDN);
        mpfr_set_d(r22469, t, MPFR_RNDN);
        mpfr_fma(r22470, r22464, r22468, r22469, MPFR_RNDN);
        mpfr_mul(r22471, r22454, r22455, MPFR_RNDN);
        mpfr_mul(r22472, r22456, r22471, MPFR_RNDN);
        mpfr_div(r22473, r22454, r22462, MPFR_RNDN);
        mpfr_neg(r22474, r22461, MPFR_RNDN);
        mpfr_mul(r22475, r22473, r22474, MPFR_RNDN);
        mpfr_mul(r22476, r22461, r22455, MPFR_RNDN);
        mpfr_mul(r22477, r22456, r22454, MPFR_RNDN);
        mpfr_mul(r22478, r22476, r22477, MPFR_RNDN);
        mpfr_mul(r22479, r22475, r22478, MPFR_RNDN);
        mpfr_fma(r22480, r22470, r22472, r22479, MPFR_RNDN);
        ;
        mpfr_mul(r22482, r22455, r22481, MPFR_RNDN);
        mpfr_mul(r22483, r22477, r22482, MPFR_RNDN);
        mpfr_add(r22484, r22480, r22483, MPFR_RNDN);
        mpfr_sqrt(r22485, r22484, MPFR_RNDN);
        ;
        mpfr_set_si(r22487, mpfr_cmp(r22458, r22486) <= 0, MPFR_RNDN);
        mpfr_mul(r22488, r22454, r22456, MPFR_RNDN);
        mpfr_mul(r22489, r22466, r22463, MPFR_RNDN);
        mpfr_div(r22490, r22456, r22467, MPFR_RNDN);
        mpfr_fma(r22491, r22489, r22490, r22469, MPFR_RNDN);
        mpfr_mul(r22492, r22454, r22461, MPFR_RNDN);
        mpfr_div(r22493, r22492, r22467, MPFR_RNDN);
        mpfr_sub(r22494, r22491, r22493, MPFR_RNDN);
        mpfr_mul(r22495, r22488, r22494, MPFR_RNDN);
        mpfr_mul(r22496, r22455, r22495, MPFR_RNDN);
        mpfr_sqrt(r22497, r22496, MPFR_RNDN);
        mpfr_mul(r22498, r22455, r22488, MPFR_RNDN);
        mpfr_sqrt(r22499, r22498, MPFR_RNDN);
        mpfr_sqrt(r22500, r22494, MPFR_RNDN);
        mpfr_mul(r22501, r22499, r22500, MPFR_RNDN);
        if (mpfr_get_si(r22487, MPFR_RNDN)) { mpfr_set(r22502, r22497, MPFR_RNDN); } else { mpfr_set(r22502, r22501, MPFR_RNDN); };
        if (mpfr_get_si(r22460, MPFR_RNDN)) { mpfr_set(r22503, r22485, MPFR_RNDN); } else { mpfr_set(r22503, r22502, MPFR_RNDN); };
        return mpfr_get_d(r22503, MPFR_RNDN);
}

static mpfr_t r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22504, "2", 10, MPFR_RNDN);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init_set_str(r22509, "-2.4387492809577554e-237", 10, MPFR_RNDN);
        mpfr_init(r22510);
        mpfr_init(r22511);
        mpfr_init(r22512);
        mpfr_init(r22513);
        mpfr_init(r22514);
        mpfr_init(r22515);
        mpfr_init(r22516);
        mpfr_init(r22517);
        mpfr_init(r22518);
        mpfr_init(r22519);
        mpfr_init(r22520);
        mpfr_init(r22521);
        mpfr_init(r22522);
        mpfr_init(r22523);
        mpfr_init(r22524);
        mpfr_init(r22525);
        mpfr_init(r22526);
        mpfr_init(r22527);
        mpfr_init(r22528);
        mpfr_init(r22529);
        mpfr_init(r22530);
        mpfr_init_set_str(r22531, "0", 10, MPFR_RNDN);
        mpfr_init(r22532);
        mpfr_init(r22533);
        mpfr_init(r22534);
        mpfr_init(r22535);
        mpfr_init_set_str(r22536, "3.065555060109775e-287", 10, MPFR_RNDN);
        mpfr_init(r22537);
        mpfr_init(r22538);
        mpfr_init(r22539);
        mpfr_init(r22540);
        mpfr_init(r22541);
        mpfr_init(r22542);
        mpfr_init(r22543);
        mpfr_init(r22544);
        mpfr_init(r22545);
        mpfr_init(r22546);
        mpfr_init(r22547);
        mpfr_init(r22548);
        mpfr_init(r22549);
        mpfr_init(r22550);
        mpfr_init(r22551);
        mpfr_init(r22552);
        mpfr_init(r22553);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22505, U, MPFR_RNDN);
        mpfr_set_d(r22506, n, MPFR_RNDN);
        mpfr_mul(r22507, r22505, r22506, MPFR_RNDN);
        mpfr_mul(r22508, r22504, r22507, MPFR_RNDN);
        ;
        mpfr_set_si(r22510, mpfr_cmp(r22508, r22509) <= 0, MPFR_RNDN);
        mpfr_set_d(r22511, l, MPFR_RNDN);
        mpfr_set_d(r22512, Om, MPFR_RNDN);
        mpfr_div(r22513, r22511, r22512, MPFR_RNDN);
        mpfr_mul(r22514, r22513, r22506, MPFR_RNDN);
        mpfr_set_d(r22515, U_, MPFR_RNDN);
        mpfr_sub(r22516, r22515, r22505, MPFR_RNDN);
        mpfr_div(r22517, r22512, r22511, MPFR_RNDN);
        mpfr_div(r22518, r22516, r22517, MPFR_RNDN);
        mpfr_set_d(r22519, t, MPFR_RNDN);
        mpfr_fma(r22520, r22514, r22518, r22519, MPFR_RNDN);
        mpfr_mul(r22521, r22504, r22505, MPFR_RNDN);
        mpfr_mul(r22522, r22506, r22521, MPFR_RNDN);
        mpfr_div(r22523, r22504, r22512, MPFR_RNDN);
        mpfr_neg(r22524, r22511, MPFR_RNDN);
        mpfr_mul(r22525, r22523, r22524, MPFR_RNDN);
        mpfr_mul(r22526, r22511, r22505, MPFR_RNDN);
        mpfr_mul(r22527, r22506, r22504, MPFR_RNDN);
        mpfr_mul(r22528, r22526, r22527, MPFR_RNDN);
        mpfr_mul(r22529, r22525, r22528, MPFR_RNDN);
        mpfr_fma(r22530, r22520, r22522, r22529, MPFR_RNDN);
        ;
        mpfr_mul(r22532, r22505, r22531, MPFR_RNDN);
        mpfr_mul(r22533, r22527, r22532, MPFR_RNDN);
        mpfr_add(r22534, r22530, r22533, MPFR_RNDN);
        mpfr_sqrt(r22535, r22534, MPFR_RNDN);
        ;
        mpfr_set_si(r22537, mpfr_cmp(r22508, r22536) <= 0, MPFR_RNDN);
        mpfr_mul(r22538, r22504, r22506, MPFR_RNDN);
        mpfr_mul(r22539, r22516, r22513, MPFR_RNDN);
        mpfr_div(r22540, r22506, r22517, MPFR_RNDN);
        mpfr_fma(r22541, r22539, r22540, r22519, MPFR_RNDN);
        mpfr_mul(r22542, r22504, r22511, MPFR_RNDN);
        mpfr_div(r22543, r22542, r22517, MPFR_RNDN);
        mpfr_sub(r22544, r22541, r22543, MPFR_RNDN);
        mpfr_mul(r22545, r22538, r22544, MPFR_RNDN);
        mpfr_mul(r22546, r22505, r22545, MPFR_RNDN);
        mpfr_sqrt(r22547, r22546, MPFR_RNDN);
        mpfr_mul(r22548, r22505, r22538, MPFR_RNDN);
        mpfr_sqrt(r22549, r22548, MPFR_RNDN);
        mpfr_sqrt(r22550, r22544, MPFR_RNDN);
        mpfr_mul(r22551, r22549, r22550, MPFR_RNDN);
        if (mpfr_get_si(r22537, MPFR_RNDN)) { mpfr_set(r22552, r22547, MPFR_RNDN); } else { mpfr_set(r22552, r22551, MPFR_RNDN); };
        if (mpfr_get_si(r22510, MPFR_RNDN)) { mpfr_set(r22553, r22535, MPFR_RNDN); } else { mpfr_set(r22553, r22552, MPFR_RNDN); };
        return mpfr_get_d(r22553, MPFR_RNDN);
}