#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 r22228 = 2;
        float r22229 = n;
        float r22230 = r22228 * r22229;
        float r22231 = U;
        float r22232 = r22230 * r22231;
        float r22233 = t;
        float r22234 = l;
        float r22235 = r22234 * r22234;
        float r22236 = Om;
        float r22237 = r22235 / r22236;
        float r22238 = r22228 * r22237;
        float r22239 = r22233 - r22238;
        float r22240 = r22234 / r22236;
        float r22241 = pow(r22240, r22228);
        float r22242 = r22229 * r22241;
        float r22243 = U_;
        float r22244 = r22231 - r22243;
        float r22245 = r22242 * r22244;
        float r22246 = r22239 - r22245;
        float r22247 = r22232 * r22246;
        float r22248 = sqrt(r22247);
        return r22248;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r22249 = 2;
        double r22250 = n;
        double r22251 = r22249 * r22250;
        double r22252 = U;
        double r22253 = r22251 * r22252;
        double r22254 = t;
        double r22255 = l;
        double r22256 = r22255 * r22255;
        double r22257 = Om;
        double r22258 = r22256 / r22257;
        double r22259 = r22249 * r22258;
        double r22260 = r22254 - r22259;
        double r22261 = r22255 / r22257;
        double r22262 = pow(r22261, r22249);
        double r22263 = r22250 * r22262;
        double r22264 = U_;
        double r22265 = r22252 - r22264;
        double r22266 = r22263 * r22265;
        double r22267 = r22260 - r22266;
        double r22268 = r22253 * r22267;
        double r22269 = sqrt(r22268);
        return r22269;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r22270 = n;
        float r22271 = 2;
        float r22272 = r22270 * r22271;
        float r22273 = U;
        float r22274 = r22272 * r22273;
        float r22275 = -9.95301837836159e-256;
        bool r22276 = r22274 <= r22275;
        float r22277 = r22271 * r22270;
        float r22278 = r22277 * r22273;
        float r22279 = t;
        float r22280 = l;
        float r22281 = Om;
        float r22282 = r22281 / r22280;
        float r22283 = r22280 / r22282;
        float r22284 = r22271 * r22283;
        float r22285 = r22279 - r22284;
        float r22286 = r22280 / r22281;
        float r22287 = U_;
        float r22288 = r22273 - r22287;
        float r22289 = r22286 * r22288;
        float r22290 = r22286 * r22289;
        float r22291 = r22270 * r22290;
        float r22292 = r22285 - r22291;
        float r22293 = r22278 * r22292;
        float r22294 = sqrt(r22293);
        float r22295 = 4.0267204634345217e-305;
        bool r22296 = r22274 <= r22295;
        float r22297 = r22273 * r22292;
        float r22298 = r22277 * r22297;
        float r22299 = sqrt(r22298);
        float r22300 = sqrt(r22278);
        float r22301 = pow(r22286, r22271);
        float r22302 = r22270 * r22301;
        float r22303 = r22302 * r22288;
        float r22304 = r22285 - r22303;
        float r22305 = sqrt(r22304);
        float r22306 = r22300 * r22305;
        float r22307 = r22296 ? r22299 : r22306;
        float r22308 = r22276 ? r22294 : r22307;
        return r22308;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r22309 = n;
        double r22310 = 2;
        double r22311 = r22309 * r22310;
        double r22312 = U;
        double r22313 = r22311 * r22312;
        double r22314 = -9.95301837836159e-256;
        bool r22315 = r22313 <= r22314;
        double r22316 = r22310 * r22309;
        double r22317 = r22316 * r22312;
        double r22318 = t;
        double r22319 = l;
        double r22320 = Om;
        double r22321 = r22320 / r22319;
        double r22322 = r22319 / r22321;
        double r22323 = r22310 * r22322;
        double r22324 = r22318 - r22323;
        double r22325 = r22319 / r22320;
        double r22326 = U_;
        double r22327 = r22312 - r22326;
        double r22328 = r22325 * r22327;
        double r22329 = r22325 * r22328;
        double r22330 = r22309 * r22329;
        double r22331 = r22324 - r22330;
        double r22332 = r22317 * r22331;
        double r22333 = sqrt(r22332);
        double r22334 = 4.0267204634345217e-305;
        bool r22335 = r22313 <= r22334;
        double r22336 = r22312 * r22331;
        double r22337 = r22316 * r22336;
        double r22338 = sqrt(r22337);
        double r22339 = sqrt(r22317);
        double r22340 = pow(r22325, r22310);
        double r22341 = r22309 * r22340;
        double r22342 = r22341 * r22327;
        double r22343 = r22324 - r22342;
        double r22344 = sqrt(r22343);
        double r22345 = r22339 * r22344;
        double r22346 = r22335 ? r22338 : r22345;
        double r22347 = r22315 ? r22333 : r22346;
        return r22347;
}

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 r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22348, "2", 10, MPFR_RNDN);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
        mpfr_init(r22355);
        mpfr_init(r22356);
        mpfr_init(r22357);
        mpfr_init(r22358);
        mpfr_init(r22359);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init(r22363);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r22349, n, MPFR_RNDN);
        mpfr_mul(r22350, r22348, r22349, MPFR_RNDN);
        mpfr_set_d(r22351, U, MPFR_RNDN);
        mpfr_mul(r22352, r22350, r22351, MPFR_RNDN);
        mpfr_set_d(r22353, t, MPFR_RNDN);
        mpfr_set_d(r22354, l, MPFR_RNDN);
        mpfr_mul(r22355, r22354, r22354, MPFR_RNDN);
        mpfr_set_d(r22356, Om, MPFR_RNDN);
        mpfr_div(r22357, r22355, r22356, MPFR_RNDN);
        mpfr_mul(r22358, r22348, r22357, MPFR_RNDN);
        mpfr_sub(r22359, r22353, r22358, MPFR_RNDN);
        mpfr_div(r22360, r22354, r22356, MPFR_RNDN);
        mpfr_pow(r22361, r22360, r22348, MPFR_RNDN);
        mpfr_mul(r22362, r22349, r22361, MPFR_RNDN);
        mpfr_set_d(r22363, U_, MPFR_RNDN);
        mpfr_sub(r22364, r22351, r22363, MPFR_RNDN);
        mpfr_mul(r22365, r22362, r22364, MPFR_RNDN);
        mpfr_sub(r22366, r22359, r22365, MPFR_RNDN);
        mpfr_mul(r22367, r22352, r22366, MPFR_RNDN);
        mpfr_sqrt(r22368, r22367, MPFR_RNDN);
        return mpfr_get_d(r22368, MPFR_RNDN);
}

static mpfr_t r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22369);
        mpfr_init_set_str(r22370, "2", 10, MPFR_RNDN);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init_set_str(r22374, "-9.95301837836159e-256", 10, MPFR_RNDN);
        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);
        mpfr_init_set_str(r22394, "4.0267204634345217e-305", 10, MPFR_RNDN);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22369, n, MPFR_RNDN);
        ;
        mpfr_mul(r22371, r22369, r22370, MPFR_RNDN);
        mpfr_set_d(r22372, U, MPFR_RNDN);
        mpfr_mul(r22373, r22371, r22372, MPFR_RNDN);
        ;
        mpfr_set_si(r22375, mpfr_cmp(r22373, r22374) <= 0, MPFR_RNDN);
        mpfr_mul(r22376, r22370, r22369, MPFR_RNDN);
        mpfr_mul(r22377, r22376, r22372, MPFR_RNDN);
        mpfr_set_d(r22378, t, MPFR_RNDN);
        mpfr_set_d(r22379, l, MPFR_RNDN);
        mpfr_set_d(r22380, Om, MPFR_RNDN);
        mpfr_div(r22381, r22380, r22379, MPFR_RNDN);
        mpfr_div(r22382, r22379, r22381, MPFR_RNDN);
        mpfr_mul(r22383, r22370, r22382, MPFR_RNDN);
        mpfr_sub(r22384, r22378, r22383, MPFR_RNDN);
        mpfr_div(r22385, r22379, r22380, MPFR_RNDN);
        mpfr_set_d(r22386, U_, MPFR_RNDN);
        mpfr_sub(r22387, r22372, r22386, MPFR_RNDN);
        mpfr_mul(r22388, r22385, r22387, MPFR_RNDN);
        mpfr_mul(r22389, r22385, r22388, MPFR_RNDN);
        mpfr_mul(r22390, r22369, r22389, MPFR_RNDN);
        mpfr_sub(r22391, r22384, r22390, MPFR_RNDN);
        mpfr_mul(r22392, r22377, r22391, MPFR_RNDN);
        mpfr_sqrt(r22393, r22392, MPFR_RNDN);
        ;
        mpfr_set_si(r22395, mpfr_cmp(r22373, r22394) <= 0, MPFR_RNDN);
        mpfr_mul(r22396, r22372, r22391, MPFR_RNDN);
        mpfr_mul(r22397, r22376, r22396, MPFR_RNDN);
        mpfr_sqrt(r22398, r22397, MPFR_RNDN);
        mpfr_sqrt(r22399, r22377, MPFR_RNDN);
        mpfr_pow(r22400, r22385, r22370, MPFR_RNDN);
        mpfr_mul(r22401, r22369, r22400, MPFR_RNDN);
        mpfr_mul(r22402, r22401, r22387, MPFR_RNDN);
        mpfr_sub(r22403, r22384, r22402, MPFR_RNDN);
        mpfr_sqrt(r22404, r22403, MPFR_RNDN);
        mpfr_mul(r22405, r22399, r22404, MPFR_RNDN);
        if (mpfr_get_si(r22395, MPFR_RNDN)) { mpfr_set(r22406, r22398, MPFR_RNDN); } else { mpfr_set(r22406, r22405, MPFR_RNDN); };
        if (mpfr_get_si(r22375, MPFR_RNDN)) { mpfr_set(r22407, r22393, MPFR_RNDN); } else { mpfr_set(r22407, r22406, MPFR_RNDN); };
        return mpfr_get_d(r22407, MPFR_RNDN);
}

static mpfr_t 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;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22408);
        mpfr_init_set_str(r22409, "2", 10, MPFR_RNDN);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init_set_str(r22413, "-9.95301837836159e-256", 10, MPFR_RNDN);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        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_set_str(r22433, "4.0267204634345217e-305", 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);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r22408, n, MPFR_RNDN);
        ;
        mpfr_mul(r22410, r22408, r22409, MPFR_RNDN);
        mpfr_set_d(r22411, U, MPFR_RNDN);
        mpfr_mul(r22412, r22410, r22411, MPFR_RNDN);
        ;
        mpfr_set_si(r22414, mpfr_cmp(r22412, r22413) <= 0, MPFR_RNDN);
        mpfr_mul(r22415, r22409, r22408, MPFR_RNDN);
        mpfr_mul(r22416, r22415, r22411, MPFR_RNDN);
        mpfr_set_d(r22417, t, MPFR_RNDN);
        mpfr_set_d(r22418, l, MPFR_RNDN);
        mpfr_set_d(r22419, Om, MPFR_RNDN);
        mpfr_div(r22420, r22419, r22418, MPFR_RNDN);
        mpfr_div(r22421, r22418, r22420, MPFR_RNDN);
        mpfr_mul(r22422, r22409, r22421, MPFR_RNDN);
        mpfr_sub(r22423, r22417, r22422, MPFR_RNDN);
        mpfr_div(r22424, r22418, r22419, MPFR_RNDN);
        mpfr_set_d(r22425, U_, MPFR_RNDN);
        mpfr_sub(r22426, r22411, r22425, MPFR_RNDN);
        mpfr_mul(r22427, r22424, r22426, MPFR_RNDN);
        mpfr_mul(r22428, r22424, r22427, MPFR_RNDN);
        mpfr_mul(r22429, r22408, r22428, MPFR_RNDN);
        mpfr_sub(r22430, r22423, r22429, MPFR_RNDN);
        mpfr_mul(r22431, r22416, r22430, MPFR_RNDN);
        mpfr_sqrt(r22432, r22431, MPFR_RNDN);
        ;
        mpfr_set_si(r22434, mpfr_cmp(r22412, r22433) <= 0, MPFR_RNDN);
        mpfr_mul(r22435, r22411, r22430, MPFR_RNDN);
        mpfr_mul(r22436, r22415, r22435, MPFR_RNDN);
        mpfr_sqrt(r22437, r22436, MPFR_RNDN);
        mpfr_sqrt(r22438, r22416, MPFR_RNDN);
        mpfr_pow(r22439, r22424, r22409, MPFR_RNDN);
        mpfr_mul(r22440, r22408, r22439, MPFR_RNDN);
        mpfr_mul(r22441, r22440, r22426, MPFR_RNDN);
        mpfr_sub(r22442, r22423, r22441, MPFR_RNDN);
        mpfr_sqrt(r22443, r22442, MPFR_RNDN);
        mpfr_mul(r22444, r22438, r22443, MPFR_RNDN);
        if (mpfr_get_si(r22434, MPFR_RNDN)) { mpfr_set(r22445, r22437, MPFR_RNDN); } else { mpfr_set(r22445, r22444, MPFR_RNDN); };
        if (mpfr_get_si(r22414, MPFR_RNDN)) { mpfr_set(r22446, r22432, MPFR_RNDN); } else { mpfr_set(r22446, r22445, MPFR_RNDN); };
        return mpfr_get_d(r22446, MPFR_RNDN);
}