#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 r22235 = 2;
        float r22236 = n;
        float r22237 = r22235 * r22236;
        float r22238 = U;
        float r22239 = r22237 * r22238;
        float r22240 = t;
        float r22241 = l;
        float r22242 = r22241 * r22241;
        float r22243 = Om;
        float r22244 = r22242 / r22243;
        float r22245 = r22235 * r22244;
        float r22246 = r22240 - r22245;
        float r22247 = r22241 / r22243;
        float r22248 = pow(r22247, r22235);
        float r22249 = r22236 * r22248;
        float r22250 = U_;
        float r22251 = r22238 - r22250;
        float r22252 = r22249 * r22251;
        float r22253 = r22246 - r22252;
        float r22254 = r22239 * r22253;
        float r22255 = sqrt(r22254);
        return r22255;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22256 = 2;
        double r22257 = n;
        double r22258 = r22256 * r22257;
        double r22259 = U;
        double r22260 = r22258 * r22259;
        double r22261 = t;
        double r22262 = l;
        double r22263 = r22262 * r22262;
        double r22264 = Om;
        double r22265 = r22263 / r22264;
        double r22266 = r22256 * r22265;
        double r22267 = r22261 - r22266;
        double r22268 = r22262 / r22264;
        double r22269 = pow(r22268, r22256);
        double r22270 = r22257 * r22269;
        double r22271 = U_;
        double r22272 = r22259 - r22271;
        double r22273 = r22270 * r22272;
        double r22274 = r22267 - r22273;
        double r22275 = r22260 * r22274;
        double r22276 = sqrt(r22275);
        return r22276;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22277 = 2;
        float r22278 = U;
        float r22279 = n;
        float r22280 = r22278 * r22279;
        float r22281 = r22277 * r22280;
        float r22282 = -8.053803578290465e-206;
        bool r22283 = r22281 <= r22282;
        float r22284 = r22280 * r22277;
        float r22285 = l;
        float r22286 = Om;
        float r22287 = r22285 / r22286;
        float r22288 = U_;
        float r22289 = r22288 - r22278;
        float r22290 = r22287 * r22279;
        float r22291 = r22289 * r22290;
        float r22292 = t;
        float r22293 = r22285 * r22277;
        float r22294 = r22293 * r22287;
        float r22295 = r22292 - r22294;
        float r22296 = fma(r22287, r22291, r22295);
        float r22297 = r22284 * r22296;
        float r22298 = 0;
        float r22299 = r22298 * r22279;
        float r22300 = r22278 * r22277;
        float r22301 = r22299 * r22300;
        float r22302 = r22297 + r22301;
        float r22303 = sqrt(r22302);
        float r22304 = 1.4319051384476005e-225;
        bool r22305 = r22281 <= r22304;
        float r22306 = r22277 * r22279;
        float r22307 = r22285 * r22285;
        float r22308 = r22307 / r22286;
        float r22309 = r22277 * r22308;
        float r22310 = r22292 - r22309;
        float r22311 = pow(r22287, r22277);
        float r22312 = r22279 * r22311;
        float r22313 = r22278 - r22288;
        float r22314 = r22312 * r22313;
        float r22315 = r22310 - r22314;
        float r22316 = r22278 * r22315;
        float r22317 = r22306 * r22316;
        float r22318 = sqrt(r22317);
        float r22319 = r22306 * r22278;
        float r22320 = sqrt(r22319);
        float r22321 = sqrt(r22315);
        float r22322 = r22320 * r22321;
        float r22323 = r22305 ? r22318 : r22322;
        float r22324 = r22283 ? r22303 : r22323;
        return r22324;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22325 = 2;
        double r22326 = U;
        double r22327 = n;
        double r22328 = r22326 * r22327;
        double r22329 = r22325 * r22328;
        double r22330 = -8.053803578290465e-206;
        bool r22331 = r22329 <= r22330;
        double r22332 = r22328 * r22325;
        double r22333 = l;
        double r22334 = Om;
        double r22335 = r22333 / r22334;
        double r22336 = U_;
        double r22337 = r22336 - r22326;
        double r22338 = r22335 * r22327;
        double r22339 = r22337 * r22338;
        double r22340 = t;
        double r22341 = r22333 * r22325;
        double r22342 = r22341 * r22335;
        double r22343 = r22340 - r22342;
        double r22344 = fma(r22335, r22339, r22343);
        double r22345 = r22332 * r22344;
        double r22346 = 0;
        double r22347 = r22346 * r22327;
        double r22348 = r22326 * r22325;
        double r22349 = r22347 * r22348;
        double r22350 = r22345 + r22349;
        double r22351 = sqrt(r22350);
        double r22352 = 1.4319051384476005e-225;
        bool r22353 = r22329 <= r22352;
        double r22354 = r22325 * r22327;
        double r22355 = r22333 * r22333;
        double r22356 = r22355 / r22334;
        double r22357 = r22325 * r22356;
        double r22358 = r22340 - r22357;
        double r22359 = pow(r22335, r22325);
        double r22360 = r22327 * r22359;
        double r22361 = r22326 - r22336;
        double r22362 = r22360 * r22361;
        double r22363 = r22358 - r22362;
        double r22364 = r22326 * r22363;
        double r22365 = r22354 * r22364;
        double r22366 = sqrt(r22365);
        double r22367 = r22354 * r22326;
        double r22368 = sqrt(r22367);
        double r22369 = sqrt(r22363);
        double r22370 = r22368 * r22369;
        double r22371 = r22353 ? r22366 : r22370;
        double r22372 = r22331 ? r22351 : r22371;
        return r22372;
}

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 r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22373, "2", 10, MPFR_RNDN);
        mpfr_init(r22374);
        mpfr_init(r22375);
        mpfr_init(r22376);
        mpfr_init(r22377);
        mpfr_init(r22378);
        mpfr_init(r22379);
        mpfr_init(r22380);
        mpfr_init(r22381);
        mpfr_init(r22382);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22374, n, MPFR_RNDN);
        mpfr_mul(r22375, r22373, r22374, MPFR_RNDN);
        mpfr_set_d(r22376, U, MPFR_RNDN);
        mpfr_mul(r22377, r22375, r22376, MPFR_RNDN);
        mpfr_set_d(r22378, t, MPFR_RNDN);
        mpfr_set_d(r22379, l, MPFR_RNDN);
        mpfr_mul(r22380, r22379, r22379, MPFR_RNDN);
        mpfr_set_d(r22381, Om, MPFR_RNDN);
        mpfr_div(r22382, r22380, r22381, MPFR_RNDN);
        mpfr_mul(r22383, r22373, r22382, MPFR_RNDN);
        mpfr_sub(r22384, r22378, r22383, MPFR_RNDN);
        mpfr_div(r22385, r22379, r22381, MPFR_RNDN);
        mpfr_pow(r22386, r22385, r22373, MPFR_RNDN);
        mpfr_mul(r22387, r22374, r22386, MPFR_RNDN);
        mpfr_set_d(r22388, U_, MPFR_RNDN);
        mpfr_sub(r22389, r22376, r22388, MPFR_RNDN);
        mpfr_mul(r22390, r22387, r22389, MPFR_RNDN);
        mpfr_sub(r22391, r22384, r22390, MPFR_RNDN);
        mpfr_mul(r22392, r22377, r22391, MPFR_RNDN);
        mpfr_sqrt(r22393, r22392, MPFR_RNDN);
        return mpfr_get_d(r22393, MPFR_RNDN);
}

static mpfr_t r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22394, "2", 10, MPFR_RNDN);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init_set_str(r22399, "-8.053803578290465e-206", 10, MPFR_RNDN);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init_set_str(r22415, "0", 10, MPFR_RNDN);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init_set_str(r22421, "1.4319051384476005e-225", 10, MPFR_RNDN);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22395, U, MPFR_RNDN);
        mpfr_set_d(r22396, n, MPFR_RNDN);
        mpfr_mul(r22397, r22395, r22396, MPFR_RNDN);
        mpfr_mul(r22398, r22394, r22397, MPFR_RNDN);
        ;
        mpfr_set_si(r22400, mpfr_cmp(r22398, r22399) <= 0, MPFR_RNDN);
        mpfr_mul(r22401, r22397, r22394, MPFR_RNDN);
        mpfr_set_d(r22402, l, MPFR_RNDN);
        mpfr_set_d(r22403, Om, MPFR_RNDN);
        mpfr_div(r22404, r22402, r22403, MPFR_RNDN);
        mpfr_set_d(r22405, U_, MPFR_RNDN);
        mpfr_sub(r22406, r22405, r22395, MPFR_RNDN);
        mpfr_mul(r22407, r22404, r22396, MPFR_RNDN);
        mpfr_mul(r22408, r22406, r22407, MPFR_RNDN);
        mpfr_set_d(r22409, t, MPFR_RNDN);
        mpfr_mul(r22410, r22402, r22394, MPFR_RNDN);
        mpfr_mul(r22411, r22410, r22404, MPFR_RNDN);
        mpfr_sub(r22412, r22409, r22411, MPFR_RNDN);
        mpfr_fma(r22413, r22404, r22408, r22412, MPFR_RNDN);
        mpfr_mul(r22414, r22401, r22413, MPFR_RNDN);
        ;
        mpfr_mul(r22416, r22415, r22396, MPFR_RNDN);
        mpfr_mul(r22417, r22395, r22394, MPFR_RNDN);
        mpfr_mul(r22418, r22416, r22417, MPFR_RNDN);
        mpfr_add(r22419, r22414, r22418, MPFR_RNDN);
        mpfr_sqrt(r22420, r22419, MPFR_RNDN);
        ;
        mpfr_set_si(r22422, mpfr_cmp(r22398, r22421) <= 0, MPFR_RNDN);
        mpfr_mul(r22423, r22394, r22396, MPFR_RNDN);
        mpfr_mul(r22424, r22402, r22402, MPFR_RNDN);
        mpfr_div(r22425, r22424, r22403, MPFR_RNDN);
        mpfr_mul(r22426, r22394, r22425, MPFR_RNDN);
        mpfr_sub(r22427, r22409, r22426, MPFR_RNDN);
        mpfr_pow(r22428, r22404, r22394, MPFR_RNDN);
        mpfr_mul(r22429, r22396, r22428, MPFR_RNDN);
        mpfr_sub(r22430, r22395, r22405, MPFR_RNDN);
        mpfr_mul(r22431, r22429, r22430, MPFR_RNDN);
        mpfr_sub(r22432, r22427, r22431, MPFR_RNDN);
        mpfr_mul(r22433, r22395, r22432, MPFR_RNDN);
        mpfr_mul(r22434, r22423, r22433, MPFR_RNDN);
        mpfr_sqrt(r22435, r22434, MPFR_RNDN);
        mpfr_mul(r22436, r22423, r22395, MPFR_RNDN);
        mpfr_sqrt(r22437, r22436, MPFR_RNDN);
        mpfr_sqrt(r22438, r22432, MPFR_RNDN);
        mpfr_mul(r22439, r22437, r22438, MPFR_RNDN);
        if (mpfr_get_si(r22422, MPFR_RNDN)) { mpfr_set(r22440, r22435, MPFR_RNDN); } else { mpfr_set(r22440, r22439, MPFR_RNDN); };
        if (mpfr_get_si(r22400, MPFR_RNDN)) { mpfr_set(r22441, r22420, MPFR_RNDN); } else { mpfr_set(r22441, r22440, MPFR_RNDN); };
        return mpfr_get_d(r22441, MPFR_RNDN);
}

static mpfr_t r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22442, "2", 10, MPFR_RNDN);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init_set_str(r22447, "-8.053803578290465e-206", 10, MPFR_RNDN);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init(r22455);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        mpfr_init(r22460);
        mpfr_init(r22461);
        mpfr_init(r22462);
        mpfr_init_set_str(r22463, "0", 10, MPFR_RNDN);
        mpfr_init(r22464);
        mpfr_init(r22465);
        mpfr_init(r22466);
        mpfr_init(r22467);
        mpfr_init(r22468);
        mpfr_init_set_str(r22469, "1.4319051384476005e-225", 10, MPFR_RNDN);
        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(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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22443, U, MPFR_RNDN);
        mpfr_set_d(r22444, n, MPFR_RNDN);
        mpfr_mul(r22445, r22443, r22444, MPFR_RNDN);
        mpfr_mul(r22446, r22442, r22445, MPFR_RNDN);
        ;
        mpfr_set_si(r22448, mpfr_cmp(r22446, r22447) <= 0, MPFR_RNDN);
        mpfr_mul(r22449, r22445, r22442, MPFR_RNDN);
        mpfr_set_d(r22450, l, MPFR_RNDN);
        mpfr_set_d(r22451, Om, MPFR_RNDN);
        mpfr_div(r22452, r22450, r22451, MPFR_RNDN);
        mpfr_set_d(r22453, U_, MPFR_RNDN);
        mpfr_sub(r22454, r22453, r22443, MPFR_RNDN);
        mpfr_mul(r22455, r22452, r22444, MPFR_RNDN);
        mpfr_mul(r22456, r22454, r22455, MPFR_RNDN);
        mpfr_set_d(r22457, t, MPFR_RNDN);
        mpfr_mul(r22458, r22450, r22442, MPFR_RNDN);
        mpfr_mul(r22459, r22458, r22452, MPFR_RNDN);
        mpfr_sub(r22460, r22457, r22459, MPFR_RNDN);
        mpfr_fma(r22461, r22452, r22456, r22460, MPFR_RNDN);
        mpfr_mul(r22462, r22449, r22461, MPFR_RNDN);
        ;
        mpfr_mul(r22464, r22463, r22444, MPFR_RNDN);
        mpfr_mul(r22465, r22443, r22442, MPFR_RNDN);
        mpfr_mul(r22466, r22464, r22465, MPFR_RNDN);
        mpfr_add(r22467, r22462, r22466, MPFR_RNDN);
        mpfr_sqrt(r22468, r22467, MPFR_RNDN);
        ;
        mpfr_set_si(r22470, mpfr_cmp(r22446, r22469) <= 0, MPFR_RNDN);
        mpfr_mul(r22471, r22442, r22444, MPFR_RNDN);
        mpfr_mul(r22472, r22450, r22450, MPFR_RNDN);
        mpfr_div(r22473, r22472, r22451, MPFR_RNDN);
        mpfr_mul(r22474, r22442, r22473, MPFR_RNDN);
        mpfr_sub(r22475, r22457, r22474, MPFR_RNDN);
        mpfr_pow(r22476, r22452, r22442, MPFR_RNDN);
        mpfr_mul(r22477, r22444, r22476, MPFR_RNDN);
        mpfr_sub(r22478, r22443, r22453, MPFR_RNDN);
        mpfr_mul(r22479, r22477, r22478, MPFR_RNDN);
        mpfr_sub(r22480, r22475, r22479, MPFR_RNDN);
        mpfr_mul(r22481, r22443, r22480, MPFR_RNDN);
        mpfr_mul(r22482, r22471, r22481, MPFR_RNDN);
        mpfr_sqrt(r22483, r22482, MPFR_RNDN);
        mpfr_mul(r22484, r22471, r22443, MPFR_RNDN);
        mpfr_sqrt(r22485, r22484, MPFR_RNDN);
        mpfr_sqrt(r22486, r22480, MPFR_RNDN);
        mpfr_mul(r22487, r22485, r22486, MPFR_RNDN);
        if (mpfr_get_si(r22470, MPFR_RNDN)) { mpfr_set(r22488, r22483, MPFR_RNDN); } else { mpfr_set(r22488, r22487, MPFR_RNDN); };
        if (mpfr_get_si(r22448, MPFR_RNDN)) { mpfr_set(r22489, r22468, MPFR_RNDN); } else { mpfr_set(r22489, r22488, MPFR_RNDN); };
        return mpfr_get_d(r22489, MPFR_RNDN);
}