#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 r22295 = 1;
        float r22296 = Om;
        float r22297 = Omc;
        float r22298 = r22296 / r22297;
        float r22299 = 2;
        float r22300 = pow(r22298, r22299);
        float r22301 = r22295 - r22300;
        float r22302 = t;
        float r22303 = l;
        float r22304 = r22302 / r22303;
        float r22305 = pow(r22304, r22299);
        float r22306 = r22299 * r22305;
        float r22307 = r22295 + r22306;
        float r22308 = r22301 / r22307;
        float r22309 = sqrt(r22308);
        float r22310 = asin(r22309);
        return r22310;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22311 = 1;
        double r22312 = Om;
        double r22313 = Omc;
        double r22314 = r22312 / r22313;
        double r22315 = 2;
        double r22316 = pow(r22314, r22315);
        double r22317 = r22311 - r22316;
        double r22318 = t;
        double r22319 = l;
        double r22320 = r22318 / r22319;
        double r22321 = pow(r22320, r22315);
        double r22322 = r22315 * r22321;
        double r22323 = r22311 + r22322;
        double r22324 = r22317 / r22323;
        double r22325 = sqrt(r22324);
        double r22326 = asin(r22325);
        return r22326;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22327 = 1;
        float r22328 = Om;
        float r22329 = Omc;
        float r22330 = r22328 / r22329;
        float r22331 = 2;
        float r22332 = pow(r22330, r22331);
        float r22333 = r22327 - r22332;
        float r22334 = t;
        float r22335 = l;
        float r22336 = r22334 / r22335;
        float r22337 = pow(r22336, r22331);
        float r22338 = r22331 * r22337;
        float r22339 = r22327 + r22338;
        float r22340 = r22333 / r22339;
        float r22341 = sqrt(r22340);
        float r22342 = asin(r22341);
        return r22342;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22343 = 1;
        double r22344 = Om;
        double r22345 = Omc;
        double r22346 = r22344 / r22345;
        double r22347 = 2;
        double r22348 = pow(r22346, r22347);
        double r22349 = r22343 - r22348;
        double r22350 = t;
        double r22351 = l;
        double r22352 = r22350 / r22351;
        double r22353 = pow(r22352, r22347);
        double r22354 = r22347 * r22353;
        double r22355 = r22343 + r22354;
        double r22356 = r22349 / r22355;
        double r22357 = sqrt(r22356);
        double r22358 = asin(r22357);
        return r22358;
}

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 r22359, r22360, r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22359, "1", 10, MPFR_RNDN);
        mpfr_init(r22360);
        mpfr_init(r22361);
        mpfr_init(r22362);
        mpfr_init_set_str(r22363, "2", 10, MPFR_RNDN);
        mpfr_init(r22364);
        mpfr_init(r22365);
        mpfr_init(r22366);
        mpfr_init(r22367);
        mpfr_init(r22368);
        mpfr_init(r22369);
        mpfr_init(r22370);
        mpfr_init(r22371);
        mpfr_init(r22372);
        mpfr_init(r22373);
        mpfr_init(r22374);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22360, Om, MPFR_RNDN);
        mpfr_set_d(r22361, Omc, MPFR_RNDN);
        mpfr_div(r22362, r22360, r22361, MPFR_RNDN);
        ;
        mpfr_pow(r22364, r22362, r22363, MPFR_RNDN);
        mpfr_sub(r22365, r22359, r22364, MPFR_RNDN);
        mpfr_set_d(r22366, t, MPFR_RNDN);
        mpfr_set_d(r22367, l, MPFR_RNDN);
        mpfr_div(r22368, r22366, r22367, MPFR_RNDN);
        mpfr_pow(r22369, r22368, r22363, MPFR_RNDN);
        mpfr_mul(r22370, r22363, r22369, MPFR_RNDN);
        mpfr_add(r22371, r22359, r22370, MPFR_RNDN);
        mpfr_div(r22372, r22365, r22371, MPFR_RNDN);
        mpfr_sqrt(r22373, r22372, MPFR_RNDN);
        mpfr_asin(r22374, r22373, MPFR_RNDN);
        return mpfr_get_d(r22374, MPFR_RNDN);
}

static mpfr_t r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22375, "1", 10, MPFR_RNDN);
        mpfr_init(r22376);
        mpfr_init(r22377);
        mpfr_init(r22378);
        mpfr_init_set_str(r22379, "2", 10, MPFR_RNDN);
        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);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22376, Om, MPFR_RNDN);
        mpfr_set_d(r22377, Omc, MPFR_RNDN);
        mpfr_div(r22378, r22376, r22377, MPFR_RNDN);
        ;
        mpfr_pow(r22380, r22378, r22379, MPFR_RNDN);
        mpfr_sub(r22381, r22375, r22380, MPFR_RNDN);
        mpfr_set_d(r22382, t, MPFR_RNDN);
        mpfr_set_d(r22383, l, MPFR_RNDN);
        mpfr_div(r22384, r22382, r22383, MPFR_RNDN);
        mpfr_pow(r22385, r22384, r22379, MPFR_RNDN);
        mpfr_mul(r22386, r22379, r22385, MPFR_RNDN);
        mpfr_add(r22387, r22375, r22386, MPFR_RNDN);
        mpfr_div(r22388, r22381, r22387, MPFR_RNDN);
        mpfr_sqrt(r22389, r22388, MPFR_RNDN);
        mpfr_asin(r22390, r22389, MPFR_RNDN);
        return mpfr_get_d(r22390, MPFR_RNDN);
}

static mpfr_t r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22391, "1", 10, MPFR_RNDN);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init_set_str(r22395, "2", 10, MPFR_RNDN);
        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);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22392, Om, MPFR_RNDN);
        mpfr_set_d(r22393, Omc, MPFR_RNDN);
        mpfr_div(r22394, r22392, r22393, MPFR_RNDN);
        ;
        mpfr_pow(r22396, r22394, r22395, MPFR_RNDN);
        mpfr_sub(r22397, r22391, r22396, MPFR_RNDN);
        mpfr_set_d(r22398, t, MPFR_RNDN);
        mpfr_set_d(r22399, l, MPFR_RNDN);
        mpfr_div(r22400, r22398, r22399, MPFR_RNDN);
        mpfr_pow(r22401, r22400, r22395, MPFR_RNDN);
        mpfr_mul(r22402, r22395, r22401, MPFR_RNDN);
        mpfr_add(r22403, r22391, r22402, MPFR_RNDN);
        mpfr_div(r22404, r22397, r22403, MPFR_RNDN);
        mpfr_sqrt(r22405, r22404, MPFR_RNDN);
        mpfr_asin(r22406, r22405, MPFR_RNDN);
        return mpfr_get_d(r22406, MPFR_RNDN);
}

