#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 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 = t;
        float r22351 = l;
        float r22352 = r22350 / r22351;
        float r22353 = pow(r22352, r22347);
        float r22354 = r22347 * r22353;
        float r22355 = r22343 + r22354;
        float r22356 = r22349 / r22355;
        float r22357 = sqrt(r22356);
        float r22358 = asin(r22357);
        return r22358;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22359 = 1;
        double r22360 = Om;
        double r22361 = Omc;
        double r22362 = r22360 / r22361;
        double r22363 = 2;
        double r22364 = pow(r22362, r22363);
        double r22365 = r22359 - r22364;
        double r22366 = t;
        double r22367 = l;
        double r22368 = r22366 / r22367;
        double r22369 = pow(r22368, r22363);
        double r22370 = r22363 * r22369;
        double r22371 = r22359 + r22370;
        double r22372 = r22365 / r22371;
        double r22373 = sqrt(r22372);
        double r22374 = asin(r22373);
        return r22374;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22375 = 1;
        float r22376 = Om;
        float r22377 = Omc;
        float r22378 = r22376 / r22377;
        float r22379 = 2;
        float r22380 = pow(r22378, r22379);
        float r22381 = r22375 - r22380;
        float r22382 = t;
        float r22383 = l;
        float r22384 = r22382 / r22383;
        float r22385 = pow(r22384, r22379);
        float r22386 = r22379 * r22385;
        float r22387 = r22375 + r22386;
        float r22388 = r22381 / r22387;
        float r22389 = sqrt(r22388);
        float r22390 = asin(r22389);
        return r22390;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22391 = 1;
        double r22392 = Om;
        double r22393 = Omc;
        double r22394 = r22392 / r22393;
        double r22395 = 2;
        double r22396 = pow(r22394, r22395);
        double r22397 = r22391 - r22396;
        double r22398 = t;
        double r22399 = l;
        double r22400 = r22398 / r22399;
        double r22401 = pow(r22400, r22395);
        double r22402 = r22395 * r22401;
        double r22403 = r22391 + r22402;
        double r22404 = r22397 / r22403;
        double r22405 = sqrt(r22404);
        double r22406 = asin(r22405);
        return r22406;
}

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 r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22407, "1", 10, MPFR_RNDN);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init_set_str(r22411, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22422);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22408, Om, MPFR_RNDN);
        mpfr_set_d(r22409, Omc, MPFR_RNDN);
        mpfr_div(r22410, r22408, r22409, MPFR_RNDN);
        ;
        mpfr_pow(r22412, r22410, r22411, MPFR_RNDN);
        mpfr_sub(r22413, r22407, r22412, MPFR_RNDN);
        mpfr_set_d(r22414, t, MPFR_RNDN);
        mpfr_set_d(r22415, l, MPFR_RNDN);
        mpfr_div(r22416, r22414, r22415, MPFR_RNDN);
        mpfr_pow(r22417, r22416, r22411, MPFR_RNDN);
        mpfr_mul(r22418, r22411, r22417, MPFR_RNDN);
        mpfr_add(r22419, r22407, r22418, MPFR_RNDN);
        mpfr_div(r22420, r22413, r22419, MPFR_RNDN);
        mpfr_sqrt(r22421, r22420, MPFR_RNDN);
        mpfr_asin(r22422, r22421, MPFR_RNDN);
        return mpfr_get_d(r22422, MPFR_RNDN);
}

static mpfr_t r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437, r22438;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22423, "1", 10, MPFR_RNDN);
        mpfr_init(r22424);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init_set_str(r22427, "2", 10, MPFR_RNDN);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22424, Om, MPFR_RNDN);
        mpfr_set_d(r22425, Omc, MPFR_RNDN);
        mpfr_div(r22426, r22424, r22425, MPFR_RNDN);
        ;
        mpfr_pow(r22428, r22426, r22427, MPFR_RNDN);
        mpfr_sub(r22429, r22423, r22428, MPFR_RNDN);
        mpfr_set_d(r22430, t, MPFR_RNDN);
        mpfr_set_d(r22431, l, MPFR_RNDN);
        mpfr_div(r22432, r22430, r22431, MPFR_RNDN);
        mpfr_pow(r22433, r22432, r22427, MPFR_RNDN);
        mpfr_mul(r22434, r22427, r22433, MPFR_RNDN);
        mpfr_add(r22435, r22423, r22434, MPFR_RNDN);
        mpfr_div(r22436, r22429, r22435, MPFR_RNDN);
        mpfr_sqrt(r22437, r22436, MPFR_RNDN);
        mpfr_asin(r22438, r22437, MPFR_RNDN);
        return mpfr_get_d(r22438, MPFR_RNDN);
}

static mpfr_t r22439, r22440, r22441, r22442, r22443, r22444, r22445, r22446, r22447, r22448, r22449, r22450, r22451, r22452, r22453, r22454;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22439, "1", 10, MPFR_RNDN);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
        mpfr_init_set_str(r22443, "2", 10, MPFR_RNDN);
        mpfr_init(r22444);
        mpfr_init(r22445);
        mpfr_init(r22446);
        mpfr_init(r22447);
        mpfr_init(r22448);
        mpfr_init(r22449);
        mpfr_init(r22450);
        mpfr_init(r22451);
        mpfr_init(r22452);
        mpfr_init(r22453);
        mpfr_init(r22454);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22440, Om, MPFR_RNDN);
        mpfr_set_d(r22441, Omc, MPFR_RNDN);
        mpfr_div(r22442, r22440, r22441, MPFR_RNDN);
        ;
        mpfr_pow(r22444, r22442, r22443, MPFR_RNDN);
        mpfr_sub(r22445, r22439, r22444, MPFR_RNDN);
        mpfr_set_d(r22446, t, MPFR_RNDN);
        mpfr_set_d(r22447, l, MPFR_RNDN);
        mpfr_div(r22448, r22446, r22447, MPFR_RNDN);
        mpfr_pow(r22449, r22448, r22443, MPFR_RNDN);
        mpfr_mul(r22450, r22443, r22449, MPFR_RNDN);
        mpfr_add(r22451, r22439, r22450, MPFR_RNDN);
        mpfr_div(r22452, r22445, r22451, MPFR_RNDN);
        mpfr_sqrt(r22453, r22452, MPFR_RNDN);
        mpfr_asin(r22454, r22453, MPFR_RNDN);
        return mpfr_get_d(r22454, MPFR_RNDN);
}

