#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 r22331 = 1;
        float r22332 = Om;
        float r22333 = Omc;
        float r22334 = r22332 / r22333;
        float r22335 = 2;
        float r22336 = pow(r22334, r22335);
        float r22337 = r22331 - r22336;
        float r22338 = t;
        float r22339 = l;
        float r22340 = r22338 / r22339;
        float r22341 = pow(r22340, r22335);
        float r22342 = r22335 * r22341;
        float r22343 = r22331 + r22342;
        float r22344 = r22337 / r22343;
        float r22345 = sqrt(r22344);
        float r22346 = asin(r22345);
        return r22346;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22347 = 1;
        double r22348 = Om;
        double r22349 = Omc;
        double r22350 = r22348 / r22349;
        double r22351 = 2;
        double r22352 = pow(r22350, r22351);
        double r22353 = r22347 - r22352;
        double r22354 = t;
        double r22355 = l;
        double r22356 = r22354 / r22355;
        double r22357 = pow(r22356, r22351);
        double r22358 = r22351 * r22357;
        double r22359 = r22347 + r22358;
        double r22360 = r22353 / r22359;
        double r22361 = sqrt(r22360);
        double r22362 = asin(r22361);
        return r22362;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22363 = 1;
        float r22364 = Om;
        float r22365 = Omc;
        float r22366 = r22364 / r22365;
        float r22367 = 2;
        float r22368 = pow(r22366, r22367);
        float r22369 = r22363 - r22368;
        float r22370 = t;
        float r22371 = l;
        float r22372 = r22370 / r22371;
        float r22373 = pow(r22372, r22367);
        float r22374 = r22367 * r22373;
        float r22375 = r22363 + r22374;
        float r22376 = r22369 / r22375;
        float r22377 = sqrt(r22376);
        float r22378 = asin(r22377);
        return r22378;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22379 = 1;
        double r22380 = Om;
        double r22381 = Omc;
        double r22382 = r22380 / r22381;
        double r22383 = 2;
        double r22384 = pow(r22382, r22383);
        double r22385 = r22379 - r22384;
        double r22386 = t;
        double r22387 = l;
        double r22388 = r22386 / r22387;
        double r22389 = pow(r22388, r22383);
        double r22390 = r22383 * r22389;
        double r22391 = r22379 + r22390;
        double r22392 = r22385 / r22391;
        double r22393 = sqrt(r22392);
        double r22394 = asin(r22393);
        return r22394;
}

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 r22395, r22396, r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22395, "1", 10, MPFR_RNDN);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init_set_str(r22399, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22410);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22396, Om, MPFR_RNDN);
        mpfr_set_d(r22397, Omc, MPFR_RNDN);
        mpfr_div(r22398, r22396, r22397, MPFR_RNDN);
        ;
        mpfr_pow(r22400, r22398, r22399, MPFR_RNDN);
        mpfr_sub(r22401, r22395, r22400, MPFR_RNDN);
        mpfr_set_d(r22402, t, MPFR_RNDN);
        mpfr_set_d(r22403, l, MPFR_RNDN);
        mpfr_div(r22404, r22402, r22403, MPFR_RNDN);
        mpfr_pow(r22405, r22404, r22399, MPFR_RNDN);
        mpfr_mul(r22406, r22399, r22405, MPFR_RNDN);
        mpfr_add(r22407, r22395, r22406, MPFR_RNDN);
        mpfr_div(r22408, r22401, r22407, MPFR_RNDN);
        mpfr_sqrt(r22409, r22408, MPFR_RNDN);
        mpfr_asin(r22410, r22409, MPFR_RNDN);
        return mpfr_get_d(r22410, MPFR_RNDN);
}

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

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22411, "1", 10, MPFR_RNDN);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init_set_str(r22415, "2", 10, MPFR_RNDN);
        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_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22412, Om, MPFR_RNDN);
        mpfr_set_d(r22413, Omc, MPFR_RNDN);
        mpfr_div(r22414, r22412, r22413, MPFR_RNDN);
        ;
        mpfr_pow(r22416, r22414, r22415, MPFR_RNDN);
        mpfr_sub(r22417, r22411, 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, r22415, MPFR_RNDN);
        mpfr_mul(r22422, r22415, r22421, MPFR_RNDN);
        mpfr_add(r22423, r22411, r22422, MPFR_RNDN);
        mpfr_div(r22424, r22417, r22423, MPFR_RNDN);
        mpfr_sqrt(r22425, r22424, MPFR_RNDN);
        mpfr_asin(r22426, r22425, MPFR_RNDN);
        return mpfr_get_d(r22426, MPFR_RNDN);
}

static mpfr_t r22427, r22428, r22429, r22430, r22431, r22432, r22433, r22434, r22435, r22436, r22437, r22438, r22439, r22440, r22441, r22442;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22427, "1", 10, MPFR_RNDN);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init_set_str(r22431, "2", 10, MPFR_RNDN);
        mpfr_init(r22432);
        mpfr_init(r22433);
        mpfr_init(r22434);
        mpfr_init(r22435);
        mpfr_init(r22436);
        mpfr_init(r22437);
        mpfr_init(r22438);
        mpfr_init(r22439);
        mpfr_init(r22440);
        mpfr_init(r22441);
        mpfr_init(r22442);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22428, Om, MPFR_RNDN);
        mpfr_set_d(r22429, Omc, MPFR_RNDN);
        mpfr_div(r22430, r22428, r22429, MPFR_RNDN);
        ;
        mpfr_pow(r22432, r22430, r22431, MPFR_RNDN);
        mpfr_sub(r22433, r22427, r22432, MPFR_RNDN);
        mpfr_set_d(r22434, t, MPFR_RNDN);
        mpfr_set_d(r22435, l, MPFR_RNDN);
        mpfr_div(r22436, r22434, r22435, MPFR_RNDN);
        mpfr_pow(r22437, r22436, r22431, MPFR_RNDN);
        mpfr_mul(r22438, r22431, r22437, MPFR_RNDN);
        mpfr_add(r22439, r22427, r22438, MPFR_RNDN);
        mpfr_div(r22440, r22433, r22439, MPFR_RNDN);
        mpfr_sqrt(r22441, r22440, MPFR_RNDN);
        mpfr_asin(r22442, r22441, MPFR_RNDN);
        return mpfr_get_d(r22442, MPFR_RNDN);
}

