#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (2)";

double f_if(float t, float l, float Om, float Omc) {
        float r22303 = 1;
        float r22304 = Om;
        float r22305 = Omc;
        float r22306 = r22304 / r22305;
        float r22307 = 2;
        float r22308 = pow(r22306, r22307);
        float r22309 = r22303 - r22308;
        float r22310 = t;
        float r22311 = l;
        float r22312 = r22310 / r22311;
        float r22313 = pow(r22312, r22307);
        float r22314 = r22307 * r22313;
        float r22315 = r22303 + r22314;
        float r22316 = r22309 / r22315;
        float r22317 = sqrt(r22316);
        float r22318 = asin(r22317);
        return r22318;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22319 = 1;
        double r22320 = Om;
        double r22321 = Omc;
        double r22322 = r22320 / r22321;
        double r22323 = 2;
        double r22324 = pow(r22322, r22323);
        double r22325 = r22319 - r22324;
        double r22326 = t;
        double r22327 = l;
        double r22328 = r22326 / r22327;
        double r22329 = pow(r22328, r22323);
        double r22330 = r22323 * r22329;
        double r22331 = r22319 + r22330;
        double r22332 = r22325 / r22331;
        double r22333 = sqrt(r22332);
        double r22334 = asin(r22333);
        return r22334;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22335 = 1;
        float r22336 = Om;
        float r22337 = Omc;
        float r22338 = r22336 / r22337;
        float r22339 = 2;
        float r22340 = pow(r22338, r22339);
        float r22341 = r22335 - r22340;
        float r22342 = t;
        float r22343 = l;
        float r22344 = r22342 / r22343;
        float r22345 = pow(r22344, r22339);
        float r22346 = r22339 * r22345;
        float r22347 = r22335 + r22346;
        float r22348 = r22341 / r22347;
        float r22349 = sqrt(r22348);
        float r22350 = asin(r22349);
        return r22350;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22351 = 1;
        double r22352 = Om;
        double r22353 = Omc;
        double r22354 = r22352 / r22353;
        double r22355 = 2;
        double r22356 = pow(r22354, r22355);
        double r22357 = r22351 - r22356;
        double r22358 = t;
        double r22359 = l;
        double r22360 = r22358 / r22359;
        double r22361 = pow(r22360, r22355);
        double r22362 = r22355 * r22361;
        double r22363 = r22351 + r22362;
        double r22364 = r22357 / r22363;
        double r22365 = sqrt(r22364);
        double r22366 = asin(r22365);
        return r22366;
}

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 r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22367, "1", 10, MPFR_RNDN);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init_set_str(r22371, "2", 10, MPFR_RNDN);
        mpfr_init(r22372);
        mpfr_init(r22373);
        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);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22368, Om, MPFR_RNDN);
        mpfr_set_d(r22369, Omc, MPFR_RNDN);
        mpfr_div(r22370, r22368, r22369, MPFR_RNDN);
        ;
        mpfr_pow(r22372, r22370, r22371, MPFR_RNDN);
        mpfr_sub(r22373, r22367, r22372, MPFR_RNDN);
        mpfr_set_d(r22374, t, MPFR_RNDN);
        mpfr_set_d(r22375, l, MPFR_RNDN);
        mpfr_div(r22376, r22374, r22375, MPFR_RNDN);
        mpfr_pow(r22377, r22376, r22371, MPFR_RNDN);
        mpfr_mul(r22378, r22371, r22377, MPFR_RNDN);
        mpfr_add(r22379, r22367, r22378, MPFR_RNDN);
        mpfr_div(r22380, r22373, r22379, MPFR_RNDN);
        mpfr_sqrt(r22381, r22380, MPFR_RNDN);
        mpfr_asin(r22382, r22381, MPFR_RNDN);
        return mpfr_get_d(r22382, MPFR_RNDN);
}

static mpfr_t r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22383, "1", 10, MPFR_RNDN);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init(r22386);
        mpfr_init_set_str(r22387, "2", 10, MPFR_RNDN);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22384, Om, MPFR_RNDN);
        mpfr_set_d(r22385, Omc, MPFR_RNDN);
        mpfr_div(r22386, r22384, r22385, MPFR_RNDN);
        ;
        mpfr_pow(r22388, r22386, r22387, MPFR_RNDN);
        mpfr_sub(r22389, r22383, r22388, MPFR_RNDN);
        mpfr_set_d(r22390, t, MPFR_RNDN);
        mpfr_set_d(r22391, l, MPFR_RNDN);
        mpfr_div(r22392, r22390, r22391, MPFR_RNDN);
        mpfr_pow(r22393, r22392, r22387, MPFR_RNDN);
        mpfr_mul(r22394, r22387, r22393, MPFR_RNDN);
        mpfr_add(r22395, r22383, r22394, MPFR_RNDN);
        mpfr_div(r22396, r22389, r22395, MPFR_RNDN);
        mpfr_sqrt(r22397, r22396, MPFR_RNDN);
        mpfr_asin(r22398, r22397, MPFR_RNDN);
        return mpfr_get_d(r22398, MPFR_RNDN);
}

static mpfr_t r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22399, "1", 10, MPFR_RNDN);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init(r22402);
        mpfr_init_set_str(r22403, "2", 10, MPFR_RNDN);
        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);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22400, Om, MPFR_RNDN);
        mpfr_set_d(r22401, Omc, MPFR_RNDN);
        mpfr_div(r22402, r22400, r22401, MPFR_RNDN);
        ;
        mpfr_pow(r22404, r22402, r22403, MPFR_RNDN);
        mpfr_sub(r22405, r22399, r22404, MPFR_RNDN);
        mpfr_set_d(r22406, t, MPFR_RNDN);
        mpfr_set_d(r22407, l, MPFR_RNDN);
        mpfr_div(r22408, r22406, r22407, MPFR_RNDN);
        mpfr_pow(r22409, r22408, r22403, MPFR_RNDN);
        mpfr_mul(r22410, r22403, r22409, MPFR_RNDN);
        mpfr_add(r22411, r22399, r22410, MPFR_RNDN);
        mpfr_div(r22412, r22405, r22411, MPFR_RNDN);
        mpfr_sqrt(r22413, r22412, MPFR_RNDN);
        mpfr_asin(r22414, r22413, MPFR_RNDN);
        return mpfr_get_d(r22414, MPFR_RNDN);
}

