#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 r22219 = 2;
        float r22220 = n;
        float r22221 = r22219 * r22220;
        float r22222 = U;
        float r22223 = r22221 * r22222;
        float r22224 = t;
        float r22225 = l;
        float r22226 = r22225 * r22225;
        float r22227 = Om;
        float r22228 = r22226 / r22227;
        float r22229 = r22219 * r22228;
        float r22230 = r22224 - r22229;
        float r22231 = r22225 / r22227;
        float r22232 = pow(r22231, r22219);
        float r22233 = r22220 * r22232;
        float r22234 = U_;
        float r22235 = r22222 - r22234;
        float r22236 = r22233 * r22235;
        float r22237 = r22230 - r22236;
        float r22238 = r22223 * r22237;
        float r22239 = sqrt(r22238);
        return r22239;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22240 = 2;
        double r22241 = n;
        double r22242 = r22240 * r22241;
        double r22243 = U;
        double r22244 = r22242 * r22243;
        double r22245 = t;
        double r22246 = l;
        double r22247 = r22246 * r22246;
        double r22248 = Om;
        double r22249 = r22247 / r22248;
        double r22250 = r22240 * r22249;
        double r22251 = r22245 - r22250;
        double r22252 = r22246 / r22248;
        double r22253 = pow(r22252, r22240);
        double r22254 = r22241 * r22253;
        double r22255 = U_;
        double r22256 = r22243 - r22255;
        double r22257 = r22254 * r22256;
        double r22258 = r22251 - r22257;
        double r22259 = r22244 * r22258;
        double r22260 = sqrt(r22259);
        return r22260;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22261 = 2;
        float r22262 = n;
        float r22263 = r22261 * r22262;
        float r22264 = U;
        float r22265 = r22263 * r22264;
        float r22266 = -1.4891669686224e-316;
        bool r22267 = r22265 <= r22266;
        float r22268 = r22264 * r22262;
        float r22269 = r22268 * r22261;
        float r22270 = l;
        float r22271 = Om;
        float r22272 = r22270 / r22271;
        float r22273 = U_;
        float r22274 = r22273 - r22264;
        float r22275 = r22272 * r22262;
        float r22276 = r22274 * r22275;
        float r22277 = t;
        float r22278 = r22270 * r22261;
        float r22279 = r22278 * r22272;
        float r22280 = r22277 - r22279;
        float r22281 = fma(r22272, r22276, r22280);
        float r22282 = r22269 * r22281;
        float r22283 = 0;
        float r22284 = r22283 * r22262;
        float r22285 = r22264 * r22261;
        float r22286 = r22284 * r22285;
        float r22287 = r22282 + r22286;
        float r22288 = sqrt(r22287);
        float r22289 = 8.983795389529307e-307;
        bool r22290 = r22265 <= r22289;
        float r22291 = r22262 / r22271;
        float r22292 = r22291 * r22291;
        float r22293 = r22273 * r22264;
        float r22294 = r22270 * r22270;
        float r22295 = r22293 * r22294;
        float r22296 = r22270 * r22264;
        float r22297 = r22296 * r22296;
        float r22298 = r22295 - r22297;
        float r22299 = r22292 * r22298;
        float r22300 = r22277 * r22262;
        float r22301 = r22285 * r22300;
        float r22302 = fma(r22261, r22299, r22301);
        float r22303 = sqrt(r22302);
        float r22304 = sqrt(r22265);
        float r22305 = r22294 / r22271;
        float r22306 = r22261 * r22305;
        float r22307 = r22277 - r22306;
        float r22308 = pow(r22272, r22261);
        float r22309 = r22262 * r22308;
        float r22310 = r22264 - r22273;
        float r22311 = r22309 * r22310;
        float r22312 = r22307 - r22311;
        float r22313 = sqrt(r22312);
        float r22314 = r22304 * r22313;
        float r22315 = r22290 ? r22303 : r22314;
        float r22316 = r22267 ? r22288 : r22315;
        return r22316;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22317 = 2;
        double r22318 = n;
        double r22319 = r22317 * r22318;
        double r22320 = U;
        double r22321 = r22319 * r22320;
        double r22322 = -1.4891669686224e-316;
        bool r22323 = r22321 <= r22322;
        double r22324 = r22320 * r22318;
        double r22325 = r22324 * r22317;
        double r22326 = l;
        double r22327 = Om;
        double r22328 = r22326 / r22327;
        double r22329 = U_;
        double r22330 = r22329 - r22320;
        double r22331 = r22328 * r22318;
        double r22332 = r22330 * r22331;
        double r22333 = t;
        double r22334 = r22326 * r22317;
        double r22335 = r22334 * r22328;
        double r22336 = r22333 - r22335;
        double r22337 = fma(r22328, r22332, r22336);
        double r22338 = r22325 * r22337;
        double r22339 = 0;
        double r22340 = r22339 * r22318;
        double r22341 = r22320 * r22317;
        double r22342 = r22340 * r22341;
        double r22343 = r22338 + r22342;
        double r22344 = sqrt(r22343);
        double r22345 = 8.983795389529307e-307;
        bool r22346 = r22321 <= r22345;
        double r22347 = r22318 / r22327;
        double r22348 = r22347 * r22347;
        double r22349 = r22329 * r22320;
        double r22350 = r22326 * r22326;
        double r22351 = r22349 * r22350;
        double r22352 = r22326 * r22320;
        double r22353 = r22352 * r22352;
        double r22354 = r22351 - r22353;
        double r22355 = r22348 * r22354;
        double r22356 = r22333 * r22318;
        double r22357 = r22341 * r22356;
        double r22358 = fma(r22317, r22355, r22357);
        double r22359 = sqrt(r22358);
        double r22360 = sqrt(r22321);
        double r22361 = r22350 / r22327;
        double r22362 = r22317 * r22361;
        double r22363 = r22333 - r22362;
        double r22364 = pow(r22328, r22317);
        double r22365 = r22318 * r22364;
        double r22366 = r22320 - r22329;
        double r22367 = r22365 * r22366;
        double r22368 = r22363 - r22367;
        double r22369 = sqrt(r22368);
        double r22370 = r22360 * r22369;
        double r22371 = r22346 ? r22359 : r22370;
        double r22372 = r22323 ? r22344 : 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, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449;

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, "-1.4891669686224e-316", 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(r22415);
        mpfr_init_set_str(r22416, "0", 10, MPFR_RNDN);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init_set_str(r22422, "8.983795389529307e-307", 10, MPFR_RNDN);
        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);
        mpfr_init(r22442);
        mpfr_init(r22443);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22395, n, MPFR_RNDN);
        mpfr_mul(r22396, r22394, r22395, MPFR_RNDN);
        mpfr_set_d(r22397, U, MPFR_RNDN);
        mpfr_mul(r22398, r22396, r22397, MPFR_RNDN);
        ;
        mpfr_set_si(r22400, mpfr_cmp(r22398, r22399) <= 0, MPFR_RNDN);
        mpfr_mul(r22401, r22397, r22395, MPFR_RNDN);
        mpfr_mul(r22402, r22401, r22394, MPFR_RNDN);
        mpfr_set_d(r22403, l, MPFR_RNDN);
        mpfr_set_d(r22404, Om, MPFR_RNDN);
        mpfr_div(r22405, r22403, r22404, MPFR_RNDN);
        mpfr_set_d(r22406, U_, MPFR_RNDN);
        mpfr_sub(r22407, r22406, r22397, MPFR_RNDN);
        mpfr_mul(r22408, r22405, r22395, MPFR_RNDN);
        mpfr_mul(r22409, r22407, r22408, MPFR_RNDN);
        mpfr_set_d(r22410, t, MPFR_RNDN);
        mpfr_mul(r22411, r22403, r22394, MPFR_RNDN);
        mpfr_mul(r22412, r22411, r22405, MPFR_RNDN);
        mpfr_sub(r22413, r22410, r22412, MPFR_RNDN);
        mpfr_fma(r22414, r22405, r22409, r22413, MPFR_RNDN);
        mpfr_mul(r22415, r22402, r22414, MPFR_RNDN);
        ;
        mpfr_mul(r22417, r22416, r22395, MPFR_RNDN);
        mpfr_mul(r22418, r22397, r22394, MPFR_RNDN);
        mpfr_mul(r22419, r22417, r22418, MPFR_RNDN);
        mpfr_add(r22420, r22415, r22419, MPFR_RNDN);
        mpfr_sqrt(r22421, r22420, MPFR_RNDN);
        ;
        mpfr_set_si(r22423, mpfr_cmp(r22398, r22422) <= 0, MPFR_RNDN);
        mpfr_div(r22424, r22395, r22404, MPFR_RNDN);
        mpfr_mul(r22425, r22424, r22424, MPFR_RNDN);
        mpfr_mul(r22426, r22406, r22397, MPFR_RNDN);
        mpfr_mul(r22427, r22403, r22403, MPFR_RNDN);
        mpfr_mul(r22428, r22426, r22427, MPFR_RNDN);
        mpfr_mul(r22429, r22403, r22397, MPFR_RNDN);
        mpfr_mul(r22430, r22429, r22429, MPFR_RNDN);
        mpfr_sub(r22431, r22428, r22430, MPFR_RNDN);
        mpfr_mul(r22432, r22425, r22431, MPFR_RNDN);
        mpfr_mul(r22433, r22410, r22395, MPFR_RNDN);
        mpfr_mul(r22434, r22418, r22433, MPFR_RNDN);
        mpfr_fma(r22435, r22394, r22432, r22434, MPFR_RNDN);
        mpfr_sqrt(r22436, r22435, MPFR_RNDN);
        mpfr_sqrt(r22437, r22398, MPFR_RNDN);
        mpfr_div(r22438, r22427, r22404, MPFR_RNDN);
        mpfr_mul(r22439, r22394, r22438, MPFR_RNDN);
        mpfr_sub(r22440, r22410, r22439, MPFR_RNDN);
        mpfr_pow(r22441, r22405, r22394, MPFR_RNDN);
        mpfr_mul(r22442, r22395, r22441, MPFR_RNDN);
        mpfr_sub(r22443, r22397, r22406, MPFR_RNDN);
        mpfr_mul(r22444, r22442, r22443, MPFR_RNDN);
        mpfr_sub(r22445, r22440, r22444, MPFR_RNDN);
        mpfr_sqrt(r22446, r22445, MPFR_RNDN);
        mpfr_mul(r22447, r22437, r22446, MPFR_RNDN);
        if (mpfr_get_si(r22423, MPFR_RNDN)) { mpfr_set(r22448, r22436, MPFR_RNDN); } else { mpfr_set(r22448, r22447, MPFR_RNDN); };
        if (mpfr_get_si(r22400, MPFR_RNDN)) { mpfr_set(r22449, r22421, MPFR_RNDN); } else { mpfr_set(r22449, r22448, MPFR_RNDN); };
        return mpfr_get_d(r22449, MPFR_RNDN);
}

static mpfr_t 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, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22450, "2", 10, MPFR_RNDN);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
        mpfr_init_set_str(r22455, "-1.4891669686224e-316", 10, MPFR_RNDN);
        mpfr_init(r22456);
        mpfr_init(r22457);
        mpfr_init(r22458);
        mpfr_init(r22459);
        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_set_str(r22472, "0", 10, MPFR_RNDN);
        mpfr_init(r22473);
        mpfr_init(r22474);
        mpfr_init(r22475);
        mpfr_init(r22476);
        mpfr_init(r22477);
        mpfr_init_set_str(r22478, "8.983795389529307e-307", 10, MPFR_RNDN);
        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);
        mpfr_init(r22498);
        mpfr_init(r22499);
        mpfr_init(r22500);
        mpfr_init(r22501);
        mpfr_init(r22502);
        mpfr_init(r22503);
        mpfr_init(r22504);
        mpfr_init(r22505);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22451, n, MPFR_RNDN);
        mpfr_mul(r22452, r22450, r22451, MPFR_RNDN);
        mpfr_set_d(r22453, U, MPFR_RNDN);
        mpfr_mul(r22454, r22452, r22453, MPFR_RNDN);
        ;
        mpfr_set_si(r22456, mpfr_cmp(r22454, r22455) <= 0, MPFR_RNDN);
        mpfr_mul(r22457, r22453, r22451, MPFR_RNDN);
        mpfr_mul(r22458, r22457, r22450, MPFR_RNDN);
        mpfr_set_d(r22459, l, MPFR_RNDN);
        mpfr_set_d(r22460, Om, MPFR_RNDN);
        mpfr_div(r22461, r22459, r22460, MPFR_RNDN);
        mpfr_set_d(r22462, U_, MPFR_RNDN);
        mpfr_sub(r22463, r22462, r22453, MPFR_RNDN);
        mpfr_mul(r22464, r22461, r22451, MPFR_RNDN);
        mpfr_mul(r22465, r22463, r22464, MPFR_RNDN);
        mpfr_set_d(r22466, t, MPFR_RNDN);
        mpfr_mul(r22467, r22459, r22450, MPFR_RNDN);
        mpfr_mul(r22468, r22467, r22461, MPFR_RNDN);
        mpfr_sub(r22469, r22466, r22468, MPFR_RNDN);
        mpfr_fma(r22470, r22461, r22465, r22469, MPFR_RNDN);
        mpfr_mul(r22471, r22458, r22470, MPFR_RNDN);
        ;
        mpfr_mul(r22473, r22472, r22451, MPFR_RNDN);
        mpfr_mul(r22474, r22453, r22450, MPFR_RNDN);
        mpfr_mul(r22475, r22473, r22474, MPFR_RNDN);
        mpfr_add(r22476, r22471, r22475, MPFR_RNDN);
        mpfr_sqrt(r22477, r22476, MPFR_RNDN);
        ;
        mpfr_set_si(r22479, mpfr_cmp(r22454, r22478) <= 0, MPFR_RNDN);
        mpfr_div(r22480, r22451, r22460, MPFR_RNDN);
        mpfr_mul(r22481, r22480, r22480, MPFR_RNDN);
        mpfr_mul(r22482, r22462, r22453, MPFR_RNDN);
        mpfr_mul(r22483, r22459, r22459, MPFR_RNDN);
        mpfr_mul(r22484, r22482, r22483, MPFR_RNDN);
        mpfr_mul(r22485, r22459, r22453, MPFR_RNDN);
        mpfr_mul(r22486, r22485, r22485, MPFR_RNDN);
        mpfr_sub(r22487, r22484, r22486, MPFR_RNDN);
        mpfr_mul(r22488, r22481, r22487, MPFR_RNDN);
        mpfr_mul(r22489, r22466, r22451, MPFR_RNDN);
        mpfr_mul(r22490, r22474, r22489, MPFR_RNDN);
        mpfr_fma(r22491, r22450, r22488, r22490, MPFR_RNDN);
        mpfr_sqrt(r22492, r22491, MPFR_RNDN);
        mpfr_sqrt(r22493, r22454, MPFR_RNDN);
        mpfr_div(r22494, r22483, r22460, MPFR_RNDN);
        mpfr_mul(r22495, r22450, r22494, MPFR_RNDN);
        mpfr_sub(r22496, r22466, r22495, MPFR_RNDN);
        mpfr_pow(r22497, r22461, r22450, MPFR_RNDN);
        mpfr_mul(r22498, r22451, r22497, MPFR_RNDN);
        mpfr_sub(r22499, r22453, r22462, MPFR_RNDN);
        mpfr_mul(r22500, r22498, r22499, MPFR_RNDN);
        mpfr_sub(r22501, r22496, r22500, MPFR_RNDN);
        mpfr_sqrt(r22502, r22501, MPFR_RNDN);
        mpfr_mul(r22503, r22493, r22502, MPFR_RNDN);
        if (mpfr_get_si(r22479, MPFR_RNDN)) { mpfr_set(r22504, r22492, MPFR_RNDN); } else { mpfr_set(r22504, r22503, MPFR_RNDN); };
        if (mpfr_get_si(r22456, MPFR_RNDN)) { mpfr_set(r22505, r22477, MPFR_RNDN); } else { mpfr_set(r22505, r22504, MPFR_RNDN); };
        return mpfr_get_d(r22505, MPFR_RNDN);
}