#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 r22322 = 1;
        float r22323 = Om;
        float r22324 = Omc;
        float r22325 = r22323 / r22324;
        float r22326 = 2;
        float r22327 = pow(r22325, r22326);
        float r22328 = r22322 - r22327;
        float r22329 = t;
        float r22330 = l;
        float r22331 = r22329 / r22330;
        float r22332 = pow(r22331, r22326);
        float r22333 = r22326 * r22332;
        float r22334 = r22322 + r22333;
        float r22335 = r22328 / r22334;
        float r22336 = sqrt(r22335);
        float r22337 = asin(r22336);
        return r22337;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22338 = 1;
        double r22339 = Om;
        double r22340 = Omc;
        double r22341 = r22339 / r22340;
        double r22342 = 2;
        double r22343 = pow(r22341, r22342);
        double r22344 = r22338 - r22343;
        double r22345 = t;
        double r22346 = l;
        double r22347 = r22345 / r22346;
        double r22348 = pow(r22347, r22342);
        double r22349 = r22342 * r22348;
        double r22350 = r22338 + r22349;
        double r22351 = r22344 / r22350;
        double r22352 = sqrt(r22351);
        double r22353 = asin(r22352);
        return r22353;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22354 = 1;
        float r22355 = Om;
        float r22356 = Omc;
        float r22357 = r22355 / r22356;
        float r22358 = r22357 * r22357;
        float r22359 = r22354 - r22358;
        float r22360 = 2;
        float r22361 = l;
        float r22362 = t;
        float r22363 = r22361 / r22362;
        float r22364 = r22360 / r22363;
        float r22365 = r22364 / r22363;
        float r22366 = r22365 + r22354;
        float r22367 = r22359 / r22366;
        float r22368 = sqrt(r22367);
        float r22369 = asin(r22368);
        return r22369;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22370 = 1;
        double r22371 = Om;
        double r22372 = Omc;
        double r22373 = r22371 / r22372;
        double r22374 = r22373 * r22373;
        double r22375 = r22370 - r22374;
        double r22376 = 2;
        double r22377 = l;
        double r22378 = t;
        double r22379 = r22377 / r22378;
        double r22380 = r22376 / r22379;
        double r22381 = r22380 / r22379;
        double r22382 = r22381 + r22370;
        double r22383 = r22375 / r22382;
        double r22384 = sqrt(r22383);
        double r22385 = asin(r22384);
        return r22385;
}

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 r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397, r22398, r22399, r22400, r22401;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22386, "1", 10, MPFR_RNDN);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init_set_str(r22390, "2", 10, MPFR_RNDN);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
        mpfr_init(r22398);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22387, Om, MPFR_RNDN);
        mpfr_set_d(r22388, Omc, MPFR_RNDN);
        mpfr_div(r22389, r22387, r22388, MPFR_RNDN);
        ;
        mpfr_pow(r22391, r22389, r22390, MPFR_RNDN);
        mpfr_sub(r22392, r22386, r22391, MPFR_RNDN);
        mpfr_set_d(r22393, t, MPFR_RNDN);
        mpfr_set_d(r22394, l, MPFR_RNDN);
        mpfr_div(r22395, r22393, r22394, MPFR_RNDN);
        mpfr_pow(r22396, r22395, r22390, MPFR_RNDN);
        mpfr_mul(r22397, r22390, r22396, MPFR_RNDN);
        mpfr_add(r22398, r22386, r22397, MPFR_RNDN);
        mpfr_div(r22399, r22392, r22398, MPFR_RNDN);
        mpfr_sqrt(r22400, r22399, MPFR_RNDN);
        mpfr_asin(r22401, r22400, MPFR_RNDN);
        return mpfr_get_d(r22401, MPFR_RNDN);
}

static mpfr_t r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22402, "1", 10, MPFR_RNDN);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init_set_str(r22408, "2", 10, MPFR_RNDN);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
        mpfr_init(r22416);
        mpfr_init(r22417);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22403, Om, MPFR_RNDN);
        mpfr_set_d(r22404, Omc, MPFR_RNDN);
        mpfr_div(r22405, r22403, r22404, MPFR_RNDN);
        mpfr_mul(r22406, r22405, r22405, MPFR_RNDN);
        mpfr_sub(r22407, r22402, r22406, MPFR_RNDN);
        ;
        mpfr_set_d(r22409, l, MPFR_RNDN);
        mpfr_set_d(r22410, t, MPFR_RNDN);
        mpfr_div(r22411, r22409, r22410, MPFR_RNDN);
        mpfr_div(r22412, r22408, r22411, MPFR_RNDN);
        mpfr_div(r22413, r22412, r22411, MPFR_RNDN);
        mpfr_add(r22414, r22413, r22402, MPFR_RNDN);
        mpfr_div(r22415, r22407, r22414, MPFR_RNDN);
        mpfr_sqrt(r22416, r22415, MPFR_RNDN);
        mpfr_asin(r22417, r22416, MPFR_RNDN);
        return mpfr_get_d(r22417, MPFR_RNDN);
}

static mpfr_t r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432, r22433;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22418, "1", 10, MPFR_RNDN);
        mpfr_init(r22419);
        mpfr_init(r22420);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init_set_str(r22424, "2", 10, MPFR_RNDN);
        mpfr_init(r22425);
        mpfr_init(r22426);
        mpfr_init(r22427);
        mpfr_init(r22428);
        mpfr_init(r22429);
        mpfr_init(r22430);
        mpfr_init(r22431);
        mpfr_init(r22432);
        mpfr_init(r22433);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22419, Om, MPFR_RNDN);
        mpfr_set_d(r22420, Omc, MPFR_RNDN);
        mpfr_div(r22421, r22419, r22420, MPFR_RNDN);
        mpfr_mul(r22422, r22421, r22421, MPFR_RNDN);
        mpfr_sub(r22423, r22418, r22422, MPFR_RNDN);
        ;
        mpfr_set_d(r22425, l, MPFR_RNDN);
        mpfr_set_d(r22426, t, MPFR_RNDN);
        mpfr_div(r22427, r22425, r22426, MPFR_RNDN);
        mpfr_div(r22428, r22424, r22427, MPFR_RNDN);
        mpfr_div(r22429, r22428, r22427, MPFR_RNDN);
        mpfr_add(r22430, r22429, r22418, MPFR_RNDN);
        mpfr_div(r22431, r22423, r22430, MPFR_RNDN);
        mpfr_sqrt(r22432, r22431, MPFR_RNDN);
        mpfr_asin(r22433, r22432, MPFR_RNDN);
        return mpfr_get_d(r22433, MPFR_RNDN);
}

