#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 r22351 = 2;
        float r22352 = n;
        float r22353 = r22351 * r22352;
        float r22354 = U;
        float r22355 = r22353 * r22354;
        float r22356 = t;
        float r22357 = l;
        float r22358 = r22357 * r22357;
        float r22359 = Om;
        float r22360 = r22358 / r22359;
        float r22361 = r22351 * r22360;
        float r22362 = r22356 - r22361;
        float r22363 = r22357 / r22359;
        float r22364 = pow(r22363, r22351);
        float r22365 = r22352 * r22364;
        float r22366 = U_;
        float r22367 = r22354 - r22366;
        float r22368 = r22365 * r22367;
        float r22369 = r22362 - r22368;
        float r22370 = r22355 * r22369;
        float r22371 = sqrt(r22370);
        return r22371;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22372 = 2;
        double r22373 = n;
        double r22374 = r22372 * r22373;
        double r22375 = U;
        double r22376 = r22374 * r22375;
        double r22377 = t;
        double r22378 = l;
        double r22379 = r22378 * r22378;
        double r22380 = Om;
        double r22381 = r22379 / r22380;
        double r22382 = r22372 * r22381;
        double r22383 = r22377 - r22382;
        double r22384 = r22378 / r22380;
        double r22385 = pow(r22384, r22372);
        double r22386 = r22373 * r22385;
        double r22387 = U_;
        double r22388 = r22375 - r22387;
        double r22389 = r22386 * r22388;
        double r22390 = r22383 - r22389;
        double r22391 = r22376 * r22390;
        double r22392 = sqrt(r22391);
        return r22392;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22393 = 2;
        float r22394 = n;
        float r22395 = r22393 * r22394;
        float r22396 = U;
        float r22397 = t;
        float r22398 = l;
        float r22399 = r22398 * r22398;
        float r22400 = Om;
        float r22401 = r22399 / r22400;
        float r22402 = r22393 * r22401;
        float r22403 = r22397 - r22402;
        float r22404 = r22394 * r22398;
        float r22405 = r22398 / r22400;
        float r22406 = r22404 * r22405;
        float r22407 = U_;
        float r22408 = r22396 - r22407;
        float r22409 = r22406 * r22408;
        float r22410 = r22409 / r22400;
        float r22411 = r22403 - r22410;
        float r22412 = r22396 * r22411;
        float r22413 = r22395 * r22412;
        float r22414 = 1.699396830153469e+262;
        bool r22415 = r22413 <= r22414;
        float r22416 = r22394 * r22405;
        float r22417 = r22405 * r22408;
        float r22418 = r22416 * r22417;
        float r22419 = r22403 - r22418;
        float r22420 = r22396 * r22419;
        float r22421 = r22395 * r22420;
        float r22422 = sqrt(r22421);
        float r22423 = r22395 * r22396;
        float r22424 = r22400 / r22398;
        float r22425 = r22398 / r22424;
        float r22426 = r22393 * r22425;
        float r22427 = r22397 - r22426;
        float r22428 = pow(r22405, r22393);
        float r22429 = r22394 * r22428;
        float r22430 = r22429 * r22408;
        float r22431 = r22427 - r22430;
        float r22432 = r22423 * r22431;
        float r22433 = sqrt(r22432);
        float r22434 = r22415 ? r22422 : r22433;
        return r22434;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22435 = 2;
        double r22436 = n;
        double r22437 = r22435 * r22436;
        double r22438 = U;
        double r22439 = t;
        double r22440 = l;
        double r22441 = r22440 * r22440;
        double r22442 = Om;
        double r22443 = r22441 / r22442;
        double r22444 = r22435 * r22443;
        double r22445 = r22439 - r22444;
        double r22446 = r22436 * r22440;
        double r22447 = r22440 / r22442;
        double r22448 = r22446 * r22447;
        double r22449 = U_;
        double r22450 = r22438 - r22449;
        double r22451 = r22448 * r22450;
        double r22452 = r22451 / r22442;
        double r22453 = r22445 - r22452;
        double r22454 = r22438 * r22453;
        double r22455 = r22437 * r22454;
        double r22456 = 1.699396830153469e+262;
        bool r22457 = r22455 <= r22456;
        double r22458 = r22436 * r22447;
        double r22459 = r22447 * r22450;
        double r22460 = r22458 * r22459;
        double r22461 = r22445 - r22460;
        double r22462 = r22438 * r22461;
        double r22463 = r22437 * r22462;
        double r22464 = sqrt(r22463);
        double r22465 = r22437 * r22438;
        double r22466 = r22442 / r22440;
        double r22467 = r22440 / r22466;
        double r22468 = r22435 * r22467;
        double r22469 = r22439 - r22468;
        double r22470 = pow(r22447, r22435);
        double r22471 = r22436 * r22470;
        double r22472 = r22471 * r22450;
        double r22473 = r22469 - r22472;
        double r22474 = r22465 * r22473;
        double r22475 = sqrt(r22474);
        double r22476 = r22457 ? r22464 : r22475;
        return r22476;
}

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 r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22477, "2", 10, MPFR_RNDN);
        mpfr_init(r22478);
        mpfr_init(r22479);
        mpfr_init(r22480);
        mpfr_init(r22481);
        mpfr_init(r22482);
        mpfr_init(r22483);
        mpfr_init(r22484);
        mpfr_init(r22485);
        mpfr_init(r22486);
        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);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22478, n, MPFR_RNDN);
        mpfr_mul(r22479, r22477, r22478, MPFR_RNDN);
        mpfr_set_d(r22480, U, MPFR_RNDN);
        mpfr_mul(r22481, r22479, r22480, MPFR_RNDN);
        mpfr_set_d(r22482, t, MPFR_RNDN);
        mpfr_set_d(r22483, l, MPFR_RNDN);
        mpfr_mul(r22484, r22483, r22483, MPFR_RNDN);
        mpfr_set_d(r22485, Om, MPFR_RNDN);
        mpfr_div(r22486, r22484, r22485, MPFR_RNDN);
        mpfr_mul(r22487, r22477, r22486, MPFR_RNDN);
        mpfr_sub(r22488, r22482, r22487, MPFR_RNDN);
        mpfr_div(r22489, r22483, r22485, MPFR_RNDN);
        mpfr_pow(r22490, r22489, r22477, MPFR_RNDN);
        mpfr_mul(r22491, r22478, r22490, MPFR_RNDN);
        mpfr_set_d(r22492, U_, MPFR_RNDN);
        mpfr_sub(r22493, r22480, r22492, MPFR_RNDN);
        mpfr_mul(r22494, r22491, r22493, MPFR_RNDN);
        mpfr_sub(r22495, r22488, r22494, MPFR_RNDN);
        mpfr_mul(r22496, r22481, r22495, MPFR_RNDN);
        mpfr_sqrt(r22497, r22496, MPFR_RNDN);
        return mpfr_get_d(r22497, MPFR_RNDN);
}

static mpfr_t r22498, r22499, r22500, r22501, r22502, r22503, 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;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22498, "2", 10, MPFR_RNDN);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
        mpfr_init(r22506);
        mpfr_init(r22507);
        mpfr_init(r22508);
        mpfr_init(r22509);
        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_set_str(r22519, "1.699396830153469e+262", 10, MPFR_RNDN);
        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(r22531);
        mpfr_init(r22532);
        mpfr_init(r22533);
        mpfr_init(r22534);
        mpfr_init(r22535);
        mpfr_init(r22536);
        mpfr_init(r22537);
        mpfr_init(r22538);
        mpfr_init(r22539);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22499, n, MPFR_RNDN);
        mpfr_mul(r22500, r22498, r22499, MPFR_RNDN);
        mpfr_set_d(r22501, U, MPFR_RNDN);
        mpfr_set_d(r22502, t, MPFR_RNDN);
        mpfr_set_d(r22503, l, MPFR_RNDN);
        mpfr_mul(r22504, r22503, r22503, MPFR_RNDN);
        mpfr_set_d(r22505, Om, MPFR_RNDN);
        mpfr_div(r22506, r22504, r22505, MPFR_RNDN);
        mpfr_mul(r22507, r22498, r22506, MPFR_RNDN);
        mpfr_sub(r22508, r22502, r22507, MPFR_RNDN);
        mpfr_mul(r22509, r22499, r22503, MPFR_RNDN);
        mpfr_div(r22510, r22503, r22505, MPFR_RNDN);
        mpfr_mul(r22511, r22509, r22510, MPFR_RNDN);
        mpfr_set_d(r22512, U_, MPFR_RNDN);
        mpfr_sub(r22513, r22501, r22512, MPFR_RNDN);
        mpfr_mul(r22514, r22511, r22513, MPFR_RNDN);
        mpfr_div(r22515, r22514, r22505, MPFR_RNDN);
        mpfr_sub(r22516, r22508, r22515, MPFR_RNDN);
        mpfr_mul(r22517, r22501, r22516, MPFR_RNDN);
        mpfr_mul(r22518, r22500, r22517, MPFR_RNDN);
        ;
        mpfr_set_si(r22520, mpfr_cmp(r22518, r22519) <= 0, MPFR_RNDN);
        mpfr_mul(r22521, r22499, r22510, MPFR_RNDN);
        mpfr_mul(r22522, r22510, r22513, MPFR_RNDN);
        mpfr_mul(r22523, r22521, r22522, MPFR_RNDN);
        mpfr_sub(r22524, r22508, r22523, MPFR_RNDN);
        mpfr_mul(r22525, r22501, r22524, MPFR_RNDN);
        mpfr_mul(r22526, r22500, r22525, MPFR_RNDN);
        mpfr_sqrt(r22527, r22526, MPFR_RNDN);
        mpfr_mul(r22528, r22500, r22501, MPFR_RNDN);
        mpfr_div(r22529, r22505, r22503, MPFR_RNDN);
        mpfr_div(r22530, r22503, r22529, MPFR_RNDN);
        mpfr_mul(r22531, r22498, r22530, MPFR_RNDN);
        mpfr_sub(r22532, r22502, r22531, MPFR_RNDN);
        mpfr_pow(r22533, r22510, r22498, MPFR_RNDN);
        mpfr_mul(r22534, r22499, r22533, MPFR_RNDN);
        mpfr_mul(r22535, r22534, r22513, MPFR_RNDN);
        mpfr_sub(r22536, r22532, r22535, MPFR_RNDN);
        mpfr_mul(r22537, r22528, r22536, MPFR_RNDN);
        mpfr_sqrt(r22538, r22537, MPFR_RNDN);
        if (mpfr_get_si(r22520, MPFR_RNDN)) { mpfr_set(r22539, r22527, MPFR_RNDN); } else { mpfr_set(r22539, r22538, MPFR_RNDN); };
        return mpfr_get_d(r22539, MPFR_RNDN);
}

static mpfr_t r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553, r22554, r22555, r22556, r22557, r22558, r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22540, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22554);
        mpfr_init(r22555);
        mpfr_init(r22556);
        mpfr_init(r22557);
        mpfr_init(r22558);
        mpfr_init(r22559);
        mpfr_init(r22560);
        mpfr_init_set_str(r22561, "1.699396830153469e+262", 10, MPFR_RNDN);
        mpfr_init(r22562);
        mpfr_init(r22563);
        mpfr_init(r22564);
        mpfr_init(r22565);
        mpfr_init(r22566);
        mpfr_init(r22567);
        mpfr_init(r22568);
        mpfr_init(r22569);
        mpfr_init(r22570);
        mpfr_init(r22571);
        mpfr_init(r22572);
        mpfr_init(r22573);
        mpfr_init(r22574);
        mpfr_init(r22575);
        mpfr_init(r22576);
        mpfr_init(r22577);
        mpfr_init(r22578);
        mpfr_init(r22579);
        mpfr_init(r22580);
        mpfr_init(r22581);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22541, n, MPFR_RNDN);
        mpfr_mul(r22542, r22540, r22541, MPFR_RNDN);
        mpfr_set_d(r22543, U, MPFR_RNDN);
        mpfr_set_d(r22544, t, MPFR_RNDN);
        mpfr_set_d(r22545, l, MPFR_RNDN);
        mpfr_mul(r22546, r22545, r22545, MPFR_RNDN);
        mpfr_set_d(r22547, Om, MPFR_RNDN);
        mpfr_div(r22548, r22546, r22547, MPFR_RNDN);
        mpfr_mul(r22549, r22540, r22548, MPFR_RNDN);
        mpfr_sub(r22550, r22544, r22549, MPFR_RNDN);
        mpfr_mul(r22551, r22541, r22545, MPFR_RNDN);
        mpfr_div(r22552, r22545, r22547, MPFR_RNDN);
        mpfr_mul(r22553, r22551, r22552, MPFR_RNDN);
        mpfr_set_d(r22554, U_, MPFR_RNDN);
        mpfr_sub(r22555, r22543, r22554, MPFR_RNDN);
        mpfr_mul(r22556, r22553, r22555, MPFR_RNDN);
        mpfr_div(r22557, r22556, r22547, MPFR_RNDN);
        mpfr_sub(r22558, r22550, r22557, MPFR_RNDN);
        mpfr_mul(r22559, r22543, r22558, MPFR_RNDN);
        mpfr_mul(r22560, r22542, r22559, MPFR_RNDN);
        ;
        mpfr_set_si(r22562, mpfr_cmp(r22560, r22561) <= 0, MPFR_RNDN);
        mpfr_mul(r22563, r22541, r22552, MPFR_RNDN);
        mpfr_mul(r22564, r22552, r22555, MPFR_RNDN);
        mpfr_mul(r22565, r22563, r22564, MPFR_RNDN);
        mpfr_sub(r22566, r22550, r22565, MPFR_RNDN);
        mpfr_mul(r22567, r22543, r22566, MPFR_RNDN);
        mpfr_mul(r22568, r22542, r22567, MPFR_RNDN);
        mpfr_sqrt(r22569, r22568, MPFR_RNDN);
        mpfr_mul(r22570, r22542, r22543, MPFR_RNDN);
        mpfr_div(r22571, r22547, r22545, MPFR_RNDN);
        mpfr_div(r22572, r22545, r22571, MPFR_RNDN);
        mpfr_mul(r22573, r22540, r22572, MPFR_RNDN);
        mpfr_sub(r22574, r22544, r22573, MPFR_RNDN);
        mpfr_pow(r22575, r22552, r22540, MPFR_RNDN);
        mpfr_mul(r22576, r22541, r22575, MPFR_RNDN);
        mpfr_mul(r22577, r22576, r22555, MPFR_RNDN);
        mpfr_sub(r22578, r22574, r22577, MPFR_RNDN);
        mpfr_mul(r22579, r22570, r22578, MPFR_RNDN);
        mpfr_sqrt(r22580, r22579, MPFR_RNDN);
        if (mpfr_get_si(r22562, MPFR_RNDN)) { mpfr_set(r22581, r22569, MPFR_RNDN); } else { mpfr_set(r22581, r22580, MPFR_RNDN); };
        return mpfr_get_d(r22581, MPFR_RNDN);
}