#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 r21283 = 2;
        float r21284 = n;
        float r21285 = r21283 * r21284;
        float r21286 = U;
        float r21287 = r21285 * r21286;
        float r21288 = t;
        float r21289 = l;
        float r21290 = r21289 * r21289;
        float r21291 = Om;
        float r21292 = r21290 / r21291;
        float r21293 = r21283 * r21292;
        float r21294 = r21288 - r21293;
        float r21295 = r21289 / r21291;
        float r21296 = pow(r21295, r21283);
        float r21297 = r21284 * r21296;
        float r21298 = U_;
        float r21299 = r21286 - r21298;
        float r21300 = r21297 * r21299;
        float r21301 = r21294 - r21300;
        float r21302 = r21287 * r21301;
        float r21303 = sqrt(r21302);
        return r21303;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r21304 = 2;
        double r21305 = n;
        double r21306 = r21304 * r21305;
        double r21307 = U;
        double r21308 = r21306 * r21307;
        double r21309 = t;
        double r21310 = l;
        double r21311 = r21310 * r21310;
        double r21312 = Om;
        double r21313 = r21311 / r21312;
        double r21314 = r21304 * r21313;
        double r21315 = r21309 - r21314;
        double r21316 = r21310 / r21312;
        double r21317 = pow(r21316, r21304);
        double r21318 = r21305 * r21317;
        double r21319 = U_;
        double r21320 = r21307 - r21319;
        double r21321 = r21318 * r21320;
        double r21322 = r21315 - r21321;
        double r21323 = r21308 * r21322;
        double r21324 = sqrt(r21323);
        return r21324;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r21325 = n;
        float r21326 = r21325 + r21325;
        float r21327 = U;
        float r21328 = r21326 * r21327;
        float r21329 = -1.9995104719206465e-239;
        bool r21330 = r21328 <= r21329;
        float r21331 = t;
        float r21332 = l;
        float r21333 = r21332 + r21332;
        float r21334 = Om;
        float r21335 = r21332 / r21334;
        float r21336 = r21333 * r21335;
        float r21337 = r21331 - r21336;
        float r21338 = r21337 * r21328;
        float r21339 = sqrt(r21338);
        float r21340 = 0.0;
        bool r21341 = r21328 <= r21340;
        float r21342 = 2;
        float r21343 = r21342 * r21325;
        float r21344 = r21332 * r21332;
        float r21345 = r21344 / r21334;
        float r21346 = r21342 * r21345;
        float r21347 = r21331 - r21346;
        float r21348 = r21325 * r21335;
        float r21349 = r21348 * r21335;
        float r21350 = U_;
        float r21351 = r21327 - r21350;
        float r21352 = r21349 * r21351;
        float r21353 = r21347 - r21352;
        float r21354 = r21327 * r21353;
        float r21355 = r21343 * r21354;
        float r21356 = sqrt(r21355);
        float r21357 = r21343 * r21327;
        float r21358 = sqrt(r21357);
        float r21359 = pow(r21335, r21342);
        float r21360 = r21325 * r21359;
        float r21361 = r21360 * r21351;
        float r21362 = r21347 - r21361;
        float r21363 = sqrt(r21362);
        float r21364 = r21358 * r21363;
        float r21365 = r21341 ? r21356 : r21364;
        float r21366 = r21330 ? r21339 : r21365;
        return r21366;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r21367 = n;
        double r21368 = r21367 + r21367;
        double r21369 = U;
        double r21370 = r21368 * r21369;
        double r21371 = -1.9995104719206465e-239;
        bool r21372 = r21370 <= r21371;
        double r21373 = t;
        double r21374 = l;
        double r21375 = r21374 + r21374;
        double r21376 = Om;
        double r21377 = r21374 / r21376;
        double r21378 = r21375 * r21377;
        double r21379 = r21373 - r21378;
        double r21380 = r21379 * r21370;
        double r21381 = sqrt(r21380);
        double r21382 = 0.0;
        bool r21383 = r21370 <= r21382;
        double r21384 = 2;
        double r21385 = r21384 * r21367;
        double r21386 = r21374 * r21374;
        double r21387 = r21386 / r21376;
        double r21388 = r21384 * r21387;
        double r21389 = r21373 - r21388;
        double r21390 = r21367 * r21377;
        double r21391 = r21390 * r21377;
        double r21392 = U_;
        double r21393 = r21369 - r21392;
        double r21394 = r21391 * r21393;
        double r21395 = r21389 - r21394;
        double r21396 = r21369 * r21395;
        double r21397 = r21385 * r21396;
        double r21398 = sqrt(r21397);
        double r21399 = r21385 * r21369;
        double r21400 = sqrt(r21399);
        double r21401 = pow(r21377, r21384);
        double r21402 = r21367 * r21401;
        double r21403 = r21402 * r21393;
        double r21404 = r21389 - r21403;
        double r21405 = sqrt(r21404);
        double r21406 = r21400 * r21405;
        double r21407 = r21383 ? r21398 : r21406;
        double r21408 = r21372 ? r21381 : r21407;
        return r21408;
}

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 r21409, r21410, r21411, r21412, r21413, r21414, r21415, r21416, r21417, r21418, r21419, r21420, r21421, r21422, r21423, r21424, r21425, r21426, r21427, r21428, r21429;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r21409, "2", 10, MPFR_RNDN);
        mpfr_init(r21410);
        mpfr_init(r21411);
        mpfr_init(r21412);
        mpfr_init(r21413);
        mpfr_init(r21414);
        mpfr_init(r21415);
        mpfr_init(r21416);
        mpfr_init(r21417);
        mpfr_init(r21418);
        mpfr_init(r21419);
        mpfr_init(r21420);
        mpfr_init(r21421);
        mpfr_init(r21422);
        mpfr_init(r21423);
        mpfr_init(r21424);
        mpfr_init(r21425);
        mpfr_init(r21426);
        mpfr_init(r21427);
        mpfr_init(r21428);
        mpfr_init(r21429);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r21410, n, MPFR_RNDN);
        mpfr_mul(r21411, r21409, r21410, MPFR_RNDN);
        mpfr_set_d(r21412, U, MPFR_RNDN);
        mpfr_mul(r21413, r21411, r21412, MPFR_RNDN);
        mpfr_set_d(r21414, t, MPFR_RNDN);
        mpfr_set_d(r21415, l, MPFR_RNDN);
        mpfr_mul(r21416, r21415, r21415, MPFR_RNDN);
        mpfr_set_d(r21417, Om, MPFR_RNDN);
        mpfr_div(r21418, r21416, r21417, MPFR_RNDN);
        mpfr_mul(r21419, r21409, r21418, MPFR_RNDN);
        mpfr_sub(r21420, r21414, r21419, MPFR_RNDN);
        mpfr_div(r21421, r21415, r21417, MPFR_RNDN);
        mpfr_pow(r21422, r21421, r21409, MPFR_RNDN);
        mpfr_mul(r21423, r21410, r21422, MPFR_RNDN);
        mpfr_set_d(r21424, U_, MPFR_RNDN);
        mpfr_sub(r21425, r21412, r21424, MPFR_RNDN);
        mpfr_mul(r21426, r21423, r21425, MPFR_RNDN);
        mpfr_sub(r21427, r21420, r21426, MPFR_RNDN);
        mpfr_mul(r21428, r21413, r21427, MPFR_RNDN);
        mpfr_sqrt(r21429, r21428, MPFR_RNDN);
        return mpfr_get_d(r21429, MPFR_RNDN);
}

static mpfr_t r21430, r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438, r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449, r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21430);
        mpfr_init(r21431);
        mpfr_init(r21432);
        mpfr_init(r21433);
        mpfr_init_set_str(r21434, "-1.9995104719206465e-239", 10, MPFR_RNDN);
        mpfr_init(r21435);
        mpfr_init(r21436);
        mpfr_init(r21437);
        mpfr_init(r21438);
        mpfr_init(r21439);
        mpfr_init(r21440);
        mpfr_init(r21441);
        mpfr_init(r21442);
        mpfr_init(r21443);
        mpfr_init(r21444);
        mpfr_init_set_str(r21445, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21446);
        mpfr_init_set_str(r21447, "2", 10, MPFR_RNDN);
        mpfr_init(r21448);
        mpfr_init(r21449);
        mpfr_init(r21450);
        mpfr_init(r21451);
        mpfr_init(r21452);
        mpfr_init(r21453);
        mpfr_init(r21454);
        mpfr_init(r21455);
        mpfr_init(r21456);
        mpfr_init(r21457);
        mpfr_init(r21458);
        mpfr_init(r21459);
        mpfr_init(r21460);
        mpfr_init(r21461);
        mpfr_init(r21462);
        mpfr_init(r21463);
        mpfr_init(r21464);
        mpfr_init(r21465);
        mpfr_init(r21466);
        mpfr_init(r21467);
        mpfr_init(r21468);
        mpfr_init(r21469);
        mpfr_init(r21470);
        mpfr_init(r21471);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21430, n, MPFR_RNDN);
        mpfr_add(r21431, r21430, r21430, MPFR_RNDN);
        mpfr_set_d(r21432, U, MPFR_RNDN);
        mpfr_mul(r21433, r21431, r21432, MPFR_RNDN);
        ;
        mpfr_set_si(r21435, mpfr_cmp(r21433, r21434) <= 0, MPFR_RNDN);
        mpfr_set_d(r21436, t, MPFR_RNDN);
        mpfr_set_d(r21437, l, MPFR_RNDN);
        mpfr_add(r21438, r21437, r21437, MPFR_RNDN);
        mpfr_set_d(r21439, Om, MPFR_RNDN);
        mpfr_div(r21440, r21437, r21439, MPFR_RNDN);
        mpfr_mul(r21441, r21438, r21440, MPFR_RNDN);
        mpfr_sub(r21442, r21436, r21441, MPFR_RNDN);
        mpfr_mul(r21443, r21442, r21433, MPFR_RNDN);
        mpfr_sqrt(r21444, r21443, MPFR_RNDN);
        ;
        mpfr_set_si(r21446, mpfr_cmp(r21433, r21445) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21448, r21447, r21430, MPFR_RNDN);
        mpfr_mul(r21449, r21437, r21437, MPFR_RNDN);
        mpfr_div(r21450, r21449, r21439, MPFR_RNDN);
        mpfr_mul(r21451, r21447, r21450, MPFR_RNDN);
        mpfr_sub(r21452, r21436, r21451, MPFR_RNDN);
        mpfr_mul(r21453, r21430, r21440, MPFR_RNDN);
        mpfr_mul(r21454, r21453, r21440, MPFR_RNDN);
        mpfr_set_d(r21455, U_, MPFR_RNDN);
        mpfr_sub(r21456, r21432, r21455, MPFR_RNDN);
        mpfr_mul(r21457, r21454, r21456, MPFR_RNDN);
        mpfr_sub(r21458, r21452, r21457, MPFR_RNDN);
        mpfr_mul(r21459, r21432, r21458, MPFR_RNDN);
        mpfr_mul(r21460, r21448, r21459, MPFR_RNDN);
        mpfr_sqrt(r21461, r21460, MPFR_RNDN);
        mpfr_mul(r21462, r21448, r21432, MPFR_RNDN);
        mpfr_sqrt(r21463, r21462, MPFR_RNDN);
        mpfr_pow(r21464, r21440, r21447, MPFR_RNDN);
        mpfr_mul(r21465, r21430, r21464, MPFR_RNDN);
        mpfr_mul(r21466, r21465, r21456, MPFR_RNDN);
        mpfr_sub(r21467, r21452, r21466, MPFR_RNDN);
        mpfr_sqrt(r21468, r21467, MPFR_RNDN);
        mpfr_mul(r21469, r21463, r21468, MPFR_RNDN);
        if (mpfr_get_si(r21446, MPFR_RNDN)) { mpfr_set(r21470, r21461, MPFR_RNDN); } else { mpfr_set(r21470, r21469, MPFR_RNDN); };
        if (mpfr_get_si(r21435, MPFR_RNDN)) { mpfr_set(r21471, r21444, MPFR_RNDN); } else { mpfr_set(r21471, r21470, MPFR_RNDN); };
        return mpfr_get_d(r21471, MPFR_RNDN);
}

static mpfr_t r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21472);
        mpfr_init(r21473);
        mpfr_init(r21474);
        mpfr_init(r21475);
        mpfr_init_set_str(r21476, "-1.9995104719206465e-239", 10, MPFR_RNDN);
        mpfr_init(r21477);
        mpfr_init(r21478);
        mpfr_init(r21479);
        mpfr_init(r21480);
        mpfr_init(r21481);
        mpfr_init(r21482);
        mpfr_init(r21483);
        mpfr_init(r21484);
        mpfr_init(r21485);
        mpfr_init(r21486);
        mpfr_init_set_str(r21487, "0.0", 10, MPFR_RNDN);
        mpfr_init(r21488);
        mpfr_init_set_str(r21489, "2", 10, MPFR_RNDN);
        mpfr_init(r21490);
        mpfr_init(r21491);
        mpfr_init(r21492);
        mpfr_init(r21493);
        mpfr_init(r21494);
        mpfr_init(r21495);
        mpfr_init(r21496);
        mpfr_init(r21497);
        mpfr_init(r21498);
        mpfr_init(r21499);
        mpfr_init(r21500);
        mpfr_init(r21501);
        mpfr_init(r21502);
        mpfr_init(r21503);
        mpfr_init(r21504);
        mpfr_init(r21505);
        mpfr_init(r21506);
        mpfr_init(r21507);
        mpfr_init(r21508);
        mpfr_init(r21509);
        mpfr_init(r21510);
        mpfr_init(r21511);
        mpfr_init(r21512);
        mpfr_init(r21513);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r21472, n, MPFR_RNDN);
        mpfr_add(r21473, r21472, r21472, MPFR_RNDN);
        mpfr_set_d(r21474, U, MPFR_RNDN);
        mpfr_mul(r21475, r21473, r21474, MPFR_RNDN);
        ;
        mpfr_set_si(r21477, mpfr_cmp(r21475, r21476) <= 0, MPFR_RNDN);
        mpfr_set_d(r21478, t, MPFR_RNDN);
        mpfr_set_d(r21479, l, MPFR_RNDN);
        mpfr_add(r21480, r21479, r21479, MPFR_RNDN);
        mpfr_set_d(r21481, Om, MPFR_RNDN);
        mpfr_div(r21482, r21479, r21481, MPFR_RNDN);
        mpfr_mul(r21483, r21480, r21482, MPFR_RNDN);
        mpfr_sub(r21484, r21478, r21483, MPFR_RNDN);
        mpfr_mul(r21485, r21484, r21475, MPFR_RNDN);
        mpfr_sqrt(r21486, r21485, MPFR_RNDN);
        ;
        mpfr_set_si(r21488, mpfr_cmp(r21475, r21487) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r21490, r21489, r21472, MPFR_RNDN);
        mpfr_mul(r21491, r21479, r21479, MPFR_RNDN);
        mpfr_div(r21492, r21491, r21481, MPFR_RNDN);
        mpfr_mul(r21493, r21489, r21492, MPFR_RNDN);
        mpfr_sub(r21494, r21478, r21493, MPFR_RNDN);
        mpfr_mul(r21495, r21472, r21482, MPFR_RNDN);
        mpfr_mul(r21496, r21495, r21482, MPFR_RNDN);
        mpfr_set_d(r21497, U_, MPFR_RNDN);
        mpfr_sub(r21498, r21474, r21497, MPFR_RNDN);
        mpfr_mul(r21499, r21496, r21498, MPFR_RNDN);
        mpfr_sub(r21500, r21494, r21499, MPFR_RNDN);
        mpfr_mul(r21501, r21474, r21500, MPFR_RNDN);
        mpfr_mul(r21502, r21490, r21501, MPFR_RNDN);
        mpfr_sqrt(r21503, r21502, MPFR_RNDN);
        mpfr_mul(r21504, r21490, r21474, MPFR_RNDN);
        mpfr_sqrt(r21505, r21504, MPFR_RNDN);
        mpfr_pow(r21506, r21482, r21489, MPFR_RNDN);
        mpfr_mul(r21507, r21472, r21506, MPFR_RNDN);
        mpfr_mul(r21508, r21507, r21498, MPFR_RNDN);
        mpfr_sub(r21509, r21494, r21508, MPFR_RNDN);
        mpfr_sqrt(r21510, r21509, MPFR_RNDN);
        mpfr_mul(r21511, r21505, r21510, MPFR_RNDN);
        if (mpfr_get_si(r21488, MPFR_RNDN)) { mpfr_set(r21512, r21503, MPFR_RNDN); } else { mpfr_set(r21512, r21511, MPFR_RNDN); };
        if (mpfr_get_si(r21477, MPFR_RNDN)) { mpfr_set(r21513, r21486, MPFR_RNDN); } else { mpfr_set(r21513, r21512, MPFR_RNDN); };
        return mpfr_get_d(r21513, MPFR_RNDN);
}