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

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


double f_of(float t, float l, float Om, float Omc) {
        float r22343 = 1;
        float r22344 = Om;
        float r22345 = Omc;
        float r22346 = r22344 / r22345;
        float r22347 = 2;
        float r22348 = pow(r22346, r22347);
        float r22349 = r22343 - r22348;
        float r22350 = sqrt(r22349);
        float r22351 = t;
        float r22352 = l;
        float r22353 = r22351 / r22352;
        float r22354 = pow(r22353, r22347);
        float r22355 = r22347 * r22354;
        float r22356 = r22343 + r22355;
        float r22357 = sqrt(r22356);
        float r22358 = r22350 / r22357;
        float r22359 = asin(r22358);
        return r22359;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22360 = 1;
        double r22361 = Om;
        double r22362 = Omc;
        double r22363 = r22361 / r22362;
        double r22364 = 2;
        double r22365 = pow(r22363, r22364);
        double r22366 = r22360 - r22365;
        double r22367 = sqrt(r22366);
        double r22368 = t;
        double r22369 = l;
        double r22370 = r22368 / r22369;
        double r22371 = pow(r22370, r22364);
        double r22372 = r22364 * r22371;
        double r22373 = r22360 + r22372;
        double r22374 = sqrt(r22373);
        double r22375 = r22367 / r22374;
        double r22376 = asin(r22375);
        return r22376;
}

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 r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22377, "1", 10, MPFR_RNDN);
        mpfr_init(r22378);
        mpfr_init(r22379);
        mpfr_init(r22380);
        mpfr_init_set_str(r22381, "2", 10, MPFR_RNDN);
        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);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22378, Om, MPFR_RNDN);
        mpfr_set_d(r22379, Omc, MPFR_RNDN);
        mpfr_div(r22380, r22378, r22379, MPFR_RNDN);
        ;
        mpfr_pow(r22382, r22380, r22381, MPFR_RNDN);
        mpfr_sub(r22383, r22377, r22382, MPFR_RNDN);
        mpfr_set_d(r22384, t, MPFR_RNDN);
        mpfr_set_d(r22385, l, MPFR_RNDN);
        mpfr_div(r22386, r22384, r22385, MPFR_RNDN);
        mpfr_pow(r22387, r22386, r22381, MPFR_RNDN);
        mpfr_mul(r22388, r22381, r22387, MPFR_RNDN);
        mpfr_add(r22389, r22377, r22388, MPFR_RNDN);
        mpfr_div(r22390, r22383, r22389, MPFR_RNDN);
        mpfr_sqrt(r22391, r22390, MPFR_RNDN);
        mpfr_asin(r22392, r22391, MPFR_RNDN);
        return mpfr_get_d(r22392, MPFR_RNDN);
}

static mpfr_t r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22393, "1", 10, MPFR_RNDN);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init_set_str(r22397, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22408);
        mpfr_init(r22409);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22394, Om, MPFR_RNDN);
        mpfr_set_d(r22395, Omc, MPFR_RNDN);
        mpfr_div(r22396, r22394, r22395, MPFR_RNDN);
        ;
        mpfr_pow(r22398, r22396, r22397, MPFR_RNDN);
        mpfr_sub(r22399, r22393, r22398, MPFR_RNDN);
        mpfr_sqrt(r22400, r22399, MPFR_RNDN);
        mpfr_set_d(r22401, t, MPFR_RNDN);
        mpfr_set_d(r22402, l, MPFR_RNDN);
        mpfr_div(r22403, r22401, r22402, MPFR_RNDN);
        mpfr_pow(r22404, r22403, r22397, MPFR_RNDN);
        mpfr_mul(r22405, r22397, r22404, MPFR_RNDN);
        mpfr_add(r22406, r22393, r22405, MPFR_RNDN);
        mpfr_sqrt(r22407, r22406, MPFR_RNDN);
        mpfr_div(r22408, r22400, r22407, MPFR_RNDN);
        mpfr_asin(r22409, r22408, MPFR_RNDN);
        return mpfr_get_d(r22409, MPFR_RNDN);
}

static mpfr_t r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22410, "1", 10, MPFR_RNDN);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init_set_str(r22414, "2", 10, MPFR_RNDN);
        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);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22411, Om, MPFR_RNDN);
        mpfr_set_d(r22412, Omc, MPFR_RNDN);
        mpfr_div(r22413, r22411, r22412, MPFR_RNDN);
        ;
        mpfr_pow(r22415, r22413, r22414, MPFR_RNDN);
        mpfr_sub(r22416, r22410, r22415, MPFR_RNDN);
        mpfr_sqrt(r22417, r22416, MPFR_RNDN);
        mpfr_set_d(r22418, t, MPFR_RNDN);
        mpfr_set_d(r22419, l, MPFR_RNDN);
        mpfr_div(r22420, r22418, r22419, MPFR_RNDN);
        mpfr_pow(r22421, r22420, r22414, MPFR_RNDN);
        mpfr_mul(r22422, r22414, r22421, MPFR_RNDN);
        mpfr_add(r22423, r22410, r22422, MPFR_RNDN);
        mpfr_sqrt(r22424, r22423, MPFR_RNDN);
        mpfr_div(r22425, r22417, r22424, MPFR_RNDN);
        mpfr_asin(r22426, r22425, MPFR_RNDN);
        return mpfr_get_d(r22426, MPFR_RNDN);
}