#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 r22310 = 1;
        float r22311 = Om;
        float r22312 = Omc;
        float r22313 = r22311 / r22312;
        float r22314 = 2;
        float r22315 = pow(r22313, r22314);
        float r22316 = r22310 - r22315;
        float r22317 = t;
        float r22318 = l;
        float r22319 = r22317 / r22318;
        float r22320 = pow(r22319, r22314);
        float r22321 = r22314 * r22320;
        float r22322 = r22310 + r22321;
        float r22323 = r22316 / r22322;
        float r22324 = sqrt(r22323);
        float r22325 = asin(r22324);
        return r22325;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22326 = 1;
        double r22327 = Om;
        double r22328 = Omc;
        double r22329 = r22327 / r22328;
        double r22330 = 2;
        double r22331 = pow(r22329, r22330);
        double r22332 = r22326 - r22331;
        double r22333 = t;
        double r22334 = l;
        double r22335 = r22333 / r22334;
        double r22336 = pow(r22335, r22330);
        double r22337 = r22330 * r22336;
        double r22338 = r22326 + r22337;
        double r22339 = r22332 / r22338;
        double r22340 = sqrt(r22339);
        double r22341 = asin(r22340);
        return r22341;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22342 = 1;
        float r22343 = Om;
        float r22344 = Omc;
        float r22345 = r22343 / r22344;
        float r22346 = 2;
        float r22347 = pow(r22345, r22346);
        float r22348 = r22342 - r22347;
        float r22349 = t;
        float r22350 = l;
        float r22351 = r22349 / r22350;
        float r22352 = pow(r22351, r22346);
        float r22353 = r22346 * r22352;
        float r22354 = r22342 + r22353;
        float r22355 = r22348 / r22354;
        float r22356 = sqrt(r22355);
        float r22357 = asin(r22356);
        return r22357;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22358 = 1;
        double r22359 = Om;
        double r22360 = Omc;
        double r22361 = r22359 / r22360;
        double r22362 = 2;
        double r22363 = pow(r22361, r22362);
        double r22364 = r22358 - r22363;
        double r22365 = t;
        double r22366 = l;
        double r22367 = r22365 / r22366;
        double r22368 = pow(r22367, r22362);
        double r22369 = r22362 * r22368;
        double r22370 = r22358 + r22369;
        double r22371 = r22364 / r22370;
        double r22372 = sqrt(r22371);
        double r22373 = asin(r22372);
        return r22373;
}

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 r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22374, "1", 10, MPFR_RNDN);
        mpfr_init(r22375);
        mpfr_init(r22376);
        mpfr_init(r22377);
        mpfr_init_set_str(r22378, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22375, Om, MPFR_RNDN);
        mpfr_set_d(r22376, Omc, MPFR_RNDN);
        mpfr_div(r22377, r22375, r22376, MPFR_RNDN);
        ;
        mpfr_pow(r22379, r22377, r22378, MPFR_RNDN);
        mpfr_sub(r22380, r22374, r22379, MPFR_RNDN);
        mpfr_set_d(r22381, t, MPFR_RNDN);
        mpfr_set_d(r22382, l, MPFR_RNDN);
        mpfr_div(r22383, r22381, r22382, MPFR_RNDN);
        mpfr_pow(r22384, r22383, r22378, MPFR_RNDN);
        mpfr_mul(r22385, r22378, r22384, MPFR_RNDN);
        mpfr_add(r22386, r22374, r22385, MPFR_RNDN);
        mpfr_div(r22387, r22380, r22386, MPFR_RNDN);
        mpfr_sqrt(r22388, r22387, MPFR_RNDN);
        mpfr_asin(r22389, r22388, MPFR_RNDN);
        return mpfr_get_d(r22389, MPFR_RNDN);
}

static mpfr_t r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22390, "1", 10, MPFR_RNDN);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init_set_str(r22394, "2", 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);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22391, Om, MPFR_RNDN);
        mpfr_set_d(r22392, Omc, MPFR_RNDN);
        mpfr_div(r22393, r22391, r22392, MPFR_RNDN);
        ;
        mpfr_pow(r22395, r22393, r22394, MPFR_RNDN);
        mpfr_sub(r22396, r22390, r22395, MPFR_RNDN);
        mpfr_set_d(r22397, t, MPFR_RNDN);
        mpfr_set_d(r22398, l, MPFR_RNDN);
        mpfr_div(r22399, r22397, r22398, MPFR_RNDN);
        mpfr_pow(r22400, r22399, r22394, MPFR_RNDN);
        mpfr_mul(r22401, r22394, r22400, MPFR_RNDN);
        mpfr_add(r22402, r22390, r22401, MPFR_RNDN);
        mpfr_div(r22403, r22396, r22402, MPFR_RNDN);
        mpfr_sqrt(r22404, r22403, MPFR_RNDN);
        mpfr_asin(r22405, r22404, MPFR_RNDN);
        return mpfr_get_d(r22405, MPFR_RNDN);
}

static mpfr_t r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22406, "1", 10, MPFR_RNDN);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init_set_str(r22410, "2", 10, MPFR_RNDN);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22407, Om, MPFR_RNDN);
        mpfr_set_d(r22408, Omc, MPFR_RNDN);
        mpfr_div(r22409, r22407, r22408, MPFR_RNDN);
        ;
        mpfr_pow(r22411, r22409, r22410, MPFR_RNDN);
        mpfr_sub(r22412, r22406, r22411, MPFR_RNDN);
        mpfr_set_d(r22413, t, MPFR_RNDN);
        mpfr_set_d(r22414, l, MPFR_RNDN);
        mpfr_div(r22415, r22413, r22414, MPFR_RNDN);
        mpfr_pow(r22416, r22415, r22410, MPFR_RNDN);
        mpfr_mul(r22417, r22410, r22416, MPFR_RNDN);
        mpfr_add(r22418, r22406, r22417, MPFR_RNDN);
        mpfr_div(r22419, r22412, r22418, MPFR_RNDN);
        mpfr_sqrt(r22420, r22419, MPFR_RNDN);
        mpfr_asin(r22421, r22420, MPFR_RNDN);
        return mpfr_get_d(r22421, MPFR_RNDN);
}

