#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 r19344 = 2.0f;
        float r19345 = n;
        float r19346 = r19344 * r19345;
        float r19347 = U;
        float r19348 = r19346 * r19347;
        float r19349 = t;
        float r19350 = l;
        float r19351 = r19350 * r19350;
        float r19352 = Om;
        float r19353 = r19351 / r19352;
        float r19354 = r19344 * r19353;
        float r19355 = r19349 - r19354;
        float r19356 = r19350 / r19352;
        float r19357 = r19356 * r19356;
        float r19358 = r19345 * r19357;
        float r19359 = U_;
        float r19360 = r19347 - r19359;
        float r19361 = r19358 * r19360;
        float r19362 = r19355 - r19361;
        float r19363 = r19348 * r19362;
        float r19364 = sqrt(r19363);
        return r19364;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r19365 = 2.0;
        double r19366 = n;
        double r19367 = r19365 * r19366;
        double r19368 = U;
        double r19369 = r19367 * r19368;
        double r19370 = t;
        double r19371 = l;
        double r19372 = r19371 * r19371;
        double r19373 = Om;
        double r19374 = r19372 / r19373;
        double r19375 = r19365 * r19374;
        double r19376 = r19370 - r19375;
        double r19377 = r19371 / r19373;
        double r19378 = r19377 * r19377;
        double r19379 = r19366 * r19378;
        double r19380 = U_;
        double r19381 = r19368 - r19380;
        double r19382 = r19379 * r19381;
        double r19383 = r19376 - r19382;
        double r19384 = r19369 * r19383;
        double r19385 = sqrt(r19384);
        return r19385;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r19386 = n;
        float r19387 = 4.5602004537906414e-307f;
        bool r19388 = r19386 <= r19387;
        float r19389 = 2.0f;
        float r19390 = r19389 * r19386;
        float r19391 = U;
        float r19392 = t;
        float r19393 = l;
        float r19394 = Om;
        float r19395 = r19394 / r19393;
        float r19396 = r19393 / r19395;
        float r19397 = r19389 * r19396;
        float r19398 = r19392 - r19397;
        float r19399 = r19393 / r19394;
        float r19400 = r19399 * r19399;
        float r19401 = r19386 * r19400;
        float r19402 = U_;
        float r19403 = r19391 - r19402;
        float r19404 = r19401 * r19403;
        float r19405 = r19398 - r19404;
        float r19406 = r19391 * r19405;
        float r19407 = r19390 * r19406;
        float r19408 = sqrt(r19407);
        float r19409 = cbrt(r19408);
        float r19410 = r19409 * (r19409 * r19409);
        float r19411 = sqrt(r19390);
        float r19412 = sqrt(r19406);
        float r19413 = r19411 * r19412;
        float r19414 = r19388 ? r19410 : r19413;
        return r19414;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r19415 = n;
        double r19416 = 4.5602004537906414e-307;
        bool r19417 = r19415 <= r19416;
        double r19418 = 2.0;
        double r19419 = r19418 * r19415;
        double r19420 = U;
        double r19421 = t;
        double r19422 = l;
        double r19423 = Om;
        double r19424 = r19423 / r19422;
        double r19425 = r19422 / r19424;
        double r19426 = r19418 * r19425;
        double r19427 = r19421 - r19426;
        double r19428 = r19422 / r19423;
        double r19429 = r19428 * r19428;
        double r19430 = r19415 * r19429;
        double r19431 = U_;
        double r19432 = r19420 - r19431;
        double r19433 = r19430 * r19432;
        double r19434 = r19427 - r19433;
        double r19435 = r19420 * r19434;
        double r19436 = r19419 * r19435;
        double r19437 = sqrt(r19436);
        double r19438 = cbrt(r19437);
        double r19439 = r19438 * (r19438 * r19438);
        double r19440 = sqrt(r19419);
        double r19441 = sqrt(r19435);
        double r19442 = r19440 * r19441;
        double r19443 = r19417 ? r19439 : r19442;
        return r19443;
}

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 r19444, r19445, r19446, r19447, r19448, r19449, r19450, r19451, r19452, r19453, r19454, r19455, r19456, r19457, r19458, r19459, r19460, r19461, r19462, r19463, r19464;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r19444, "2", 10, MPFR_RNDN);
        mpfr_init(r19445);
        mpfr_init(r19446);
        mpfr_init(r19447);
        mpfr_init(r19448);
        mpfr_init(r19449);
        mpfr_init(r19450);
        mpfr_init(r19451);
        mpfr_init(r19452);
        mpfr_init(r19453);
        mpfr_init(r19454);
        mpfr_init(r19455);
        mpfr_init(r19456);
        mpfr_init(r19457);
        mpfr_init(r19458);
        mpfr_init(r19459);
        mpfr_init(r19460);
        mpfr_init(r19461);
        mpfr_init(r19462);
        mpfr_init(r19463);
        mpfr_init(r19464);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r19445, n, MPFR_RNDN);
        mpfr_mul(r19446, r19444, r19445, MPFR_RNDN);
        mpfr_set_d(r19447, U, MPFR_RNDN);
        mpfr_mul(r19448, r19446, r19447, MPFR_RNDN);
        mpfr_set_d(r19449, t, MPFR_RNDN);
        mpfr_set_d(r19450, l, MPFR_RNDN);
        mpfr_sqr(r19451, r19450, MPFR_RNDN);
        mpfr_set_d(r19452, Om, MPFR_RNDN);
        mpfr_div(r19453, r19451, r19452, MPFR_RNDN);
        mpfr_mul(r19454, r19444, r19453, MPFR_RNDN);
        mpfr_sub(r19455, r19449, r19454, MPFR_RNDN);
        mpfr_div(r19456, r19450, r19452, MPFR_RNDN);
        mpfr_sqr(r19457, r19456, MPFR_RNDN);
        mpfr_mul(r19458, r19445, r19457, MPFR_RNDN);
        mpfr_set_d(r19459, U_, MPFR_RNDN);
        mpfr_sub(r19460, r19447, r19459, MPFR_RNDN);
        mpfr_mul(r19461, r19458, r19460, MPFR_RNDN);
        mpfr_sub(r19462, r19455, r19461, MPFR_RNDN);
        mpfr_mul(r19463, r19448, r19462, MPFR_RNDN);
        mpfr_sqrt(r19464, r19463, MPFR_RNDN);
        return mpfr_get_d(r19464, MPFR_RNDN);
}

static mpfr_t r19465, r19466, r19467, r19468, r19469, r19470, r19471, r19472, r19473, r19474, r19475, r19476, r19477, r19478, r19479, r19480, r19481, r19482, r19483, r19484, r19485, r19486, r19487, r19488, r19489, r19490, r19491, r19492, r19493;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r19465);
        mpfr_init_set_str(r19466, "4.5602004537906414e-307", 10, MPFR_RNDN);
        mpfr_init(r19467);
        mpfr_init_set_str(r19468, "2", 10, MPFR_RNDN);
        mpfr_init(r19469);
        mpfr_init(r19470);
        mpfr_init(r19471);
        mpfr_init(r19472);
        mpfr_init(r19473);
        mpfr_init(r19474);
        mpfr_init(r19475);
        mpfr_init(r19476);
        mpfr_init(r19477);
        mpfr_init(r19478);
        mpfr_init(r19479);
        mpfr_init(r19480);
        mpfr_init(r19481);
        mpfr_init(r19482);
        mpfr_init(r19483);
        mpfr_init(r19484);
        mpfr_init(r19485);
        mpfr_init(r19486);
        mpfr_init(r19487);
        mpfr_init(r19488);
        mpfr_init(r19489);
        mpfr_init(r19490);
        mpfr_init(r19491);
        mpfr_init(r19492);
        mpfr_init(r19493);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r19465, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19467, mpfr_cmp(r19465, r19466) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r19469, r19468, r19465, MPFR_RNDN);
        mpfr_set_d(r19470, U, MPFR_RNDN);
        mpfr_set_d(r19471, t, MPFR_RNDN);
        mpfr_set_d(r19472, l, MPFR_RNDN);
        mpfr_set_d(r19473, Om, MPFR_RNDN);
        mpfr_div(r19474, r19473, r19472, MPFR_RNDN);
        mpfr_div(r19475, r19472, r19474, MPFR_RNDN);
        mpfr_mul(r19476, r19468, r19475, MPFR_RNDN);
        mpfr_sub(r19477, r19471, r19476, MPFR_RNDN);
        mpfr_div(r19478, r19472, r19473, MPFR_RNDN);
        mpfr_sqr(r19479, r19478, MPFR_RNDN);
        mpfr_mul(r19480, r19465, r19479, MPFR_RNDN);
        mpfr_set_d(r19481, U_, MPFR_RNDN);
        mpfr_sub(r19482, r19470, r19481, MPFR_RNDN);
        mpfr_mul(r19483, r19480, r19482, MPFR_RNDN);
        mpfr_sub(r19484, r19477, r19483, MPFR_RNDN);
        mpfr_mul(r19485, r19470, r19484, MPFR_RNDN);
        mpfr_mul(r19486, r19469, r19485, MPFR_RNDN);
        mpfr_sqrt(r19487, r19486, MPFR_RNDN);
        mpfr_cbrt(r19488, r19487, MPFR_RNDN);
        mpfr_mul(r19489, r19488, r19488, MPFR_RNDN); mpfr_mul(r19489, r19489, r19488, MPFR_RNDN);
        mpfr_sqrt(r19490, r19469, MPFR_RNDN);
        mpfr_sqrt(r19491, r19485, MPFR_RNDN);
        mpfr_mul(r19492, r19490, r19491, MPFR_RNDN);
        if (mpfr_get_si(r19467, MPFR_RNDN)) { mpfr_set(r19493, r19489, MPFR_RNDN); } else { mpfr_set(r19493, r19492, MPFR_RNDN); };
        return mpfr_get_d(r19493, MPFR_RNDN);
}

static mpfr_t r19494, r19495, r19496, r19497, r19498, r19499, r19500, r19501, r19502, r19503, r19504, r19505, r19506, r19507, r19508, r19509, r19510, r19511, r19512, r19513, r19514, r19515, r19516, r19517, r19518, r19519, r19520, r19521, r19522;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r19494);
        mpfr_init_set_str(r19495, "4.5602004537906414e-307", 10, MPFR_RNDN);
        mpfr_init(r19496);
        mpfr_init_set_str(r19497, "2", 10, MPFR_RNDN);
        mpfr_init(r19498);
        mpfr_init(r19499);
        mpfr_init(r19500);
        mpfr_init(r19501);
        mpfr_init(r19502);
        mpfr_init(r19503);
        mpfr_init(r19504);
        mpfr_init(r19505);
        mpfr_init(r19506);
        mpfr_init(r19507);
        mpfr_init(r19508);
        mpfr_init(r19509);
        mpfr_init(r19510);
        mpfr_init(r19511);
        mpfr_init(r19512);
        mpfr_init(r19513);
        mpfr_init(r19514);
        mpfr_init(r19515);
        mpfr_init(r19516);
        mpfr_init(r19517);
        mpfr_init(r19518);
        mpfr_init(r19519);
        mpfr_init(r19520);
        mpfr_init(r19521);
        mpfr_init(r19522);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r19494, n, MPFR_RNDN);
        ;
        mpfr_set_si(r19496, mpfr_cmp(r19494, r19495) <= 0, MPFR_RNDN);
        ;
        mpfr_mul(r19498, r19497, r19494, MPFR_RNDN);
        mpfr_set_d(r19499, U, MPFR_RNDN);
        mpfr_set_d(r19500, t, MPFR_RNDN);
        mpfr_set_d(r19501, l, MPFR_RNDN);
        mpfr_set_d(r19502, Om, MPFR_RNDN);
        mpfr_div(r19503, r19502, r19501, MPFR_RNDN);
        mpfr_div(r19504, r19501, r19503, MPFR_RNDN);
        mpfr_mul(r19505, r19497, r19504, MPFR_RNDN);
        mpfr_sub(r19506, r19500, r19505, MPFR_RNDN);
        mpfr_div(r19507, r19501, r19502, MPFR_RNDN);
        mpfr_sqr(r19508, r19507, MPFR_RNDN);
        mpfr_mul(r19509, r19494, r19508, MPFR_RNDN);
        mpfr_set_d(r19510, U_, MPFR_RNDN);
        mpfr_sub(r19511, r19499, r19510, MPFR_RNDN);
        mpfr_mul(r19512, r19509, r19511, MPFR_RNDN);
        mpfr_sub(r19513, r19506, r19512, MPFR_RNDN);
        mpfr_mul(r19514, r19499, r19513, MPFR_RNDN);
        mpfr_mul(r19515, r19498, r19514, MPFR_RNDN);
        mpfr_sqrt(r19516, r19515, MPFR_RNDN);
        mpfr_cbrt(r19517, r19516, MPFR_RNDN);
        mpfr_mul(r19518, r19517, r19517, MPFR_RNDN); mpfr_mul(r19518, r19518, r19517, MPFR_RNDN);
        mpfr_sqrt(r19519, r19498, MPFR_RNDN);
        mpfr_sqrt(r19520, r19514, MPFR_RNDN);
        mpfr_mul(r19521, r19519, r19520, MPFR_RNDN);
        if (mpfr_get_si(r19496, MPFR_RNDN)) { mpfr_set(r19522, r19518, MPFR_RNDN); } else { mpfr_set(r19522, r19521, MPFR_RNDN); };
        return mpfr_get_d(r19522, MPFR_RNDN);
}

