#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 r22314 = 1;
        float r22315 = Om;
        float r22316 = Omc;
        float r22317 = r22315 / r22316;
        float r22318 = 2;
        float r22319 = pow(r22317, r22318);
        float r22320 = r22314 - r22319;
        float r22321 = t;
        float r22322 = l;
        float r22323 = r22321 / r22322;
        float r22324 = pow(r22323, r22318);
        float r22325 = r22318 * r22324;
        float r22326 = r22314 + r22325;
        float r22327 = r22320 / r22326;
        float r22328 = sqrt(r22327);
        float r22329 = asin(r22328);
        return r22329;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22330 = 1;
        double r22331 = Om;
        double r22332 = Omc;
        double r22333 = r22331 / r22332;
        double r22334 = 2;
        double r22335 = pow(r22333, r22334);
        double r22336 = r22330 - r22335;
        double r22337 = t;
        double r22338 = l;
        double r22339 = r22337 / r22338;
        double r22340 = pow(r22339, r22334);
        double r22341 = r22334 * r22340;
        double r22342 = r22330 + r22341;
        double r22343 = r22336 / r22342;
        double r22344 = sqrt(r22343);
        double r22345 = asin(r22344);
        return r22345;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22346 = 1;
        float r22347 = Om;
        float r22348 = Omc;
        float r22349 = r22347 / r22348;
        float r22350 = 2;
        float r22351 = pow(r22349, r22350);
        float r22352 = r22346 - r22351;
        float r22353 = t;
        float r22354 = l;
        float r22355 = r22353 / r22354;
        float r22356 = pow(r22355, r22350);
        float r22357 = r22350 * r22356;
        float r22358 = r22346 + r22357;
        float r22359 = r22352 / r22358;
        float r22360 = sqrt(r22359);
        float r22361 = asin(r22360);
        float r22362 = log1p(r22361);
        float r22363 = expm1(r22362);
        return r22363;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22364 = 1;
        double r22365 = Om;
        double r22366 = Omc;
        double r22367 = r22365 / r22366;
        double r22368 = 2;
        double r22369 = pow(r22367, r22368);
        double r22370 = r22364 - r22369;
        double r22371 = t;
        double r22372 = l;
        double r22373 = r22371 / r22372;
        double r22374 = pow(r22373, r22368);
        double r22375 = r22368 * r22374;
        double r22376 = r22364 + r22375;
        double r22377 = r22370 / r22376;
        double r22378 = sqrt(r22377);
        double r22379 = asin(r22378);
        double r22380 = log1p(r22379);
        double r22381 = expm1(r22380);
        return r22381;
}

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 r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396, r22397;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22382, "1", 10, MPFR_RNDN);
        mpfr_init(r22383);
        mpfr_init(r22384);
        mpfr_init(r22385);
        mpfr_init_set_str(r22386, "2", 10, MPFR_RNDN);
        mpfr_init(r22387);
        mpfr_init(r22388);
        mpfr_init(r22389);
        mpfr_init(r22390);
        mpfr_init(r22391);
        mpfr_init(r22392);
        mpfr_init(r22393);
        mpfr_init(r22394);
        mpfr_init(r22395);
        mpfr_init(r22396);
        mpfr_init(r22397);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22383, Om, MPFR_RNDN);
        mpfr_set_d(r22384, Omc, MPFR_RNDN);
        mpfr_div(r22385, r22383, r22384, MPFR_RNDN);
        ;
        mpfr_pow(r22387, r22385, r22386, MPFR_RNDN);
        mpfr_sub(r22388, r22382, r22387, MPFR_RNDN);
        mpfr_set_d(r22389, t, MPFR_RNDN);
        mpfr_set_d(r22390, l, MPFR_RNDN);
        mpfr_div(r22391, r22389, r22390, MPFR_RNDN);
        mpfr_pow(r22392, r22391, r22386, MPFR_RNDN);
        mpfr_mul(r22393, r22386, r22392, MPFR_RNDN);
        mpfr_add(r22394, r22382, r22393, MPFR_RNDN);
        mpfr_div(r22395, r22388, r22394, MPFR_RNDN);
        mpfr_sqrt(r22396, r22395, MPFR_RNDN);
        mpfr_asin(r22397, r22396, MPFR_RNDN);
        return mpfr_get_d(r22397, MPFR_RNDN);
}

static mpfr_t r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22398, "1", 10, MPFR_RNDN);
        mpfr_init(r22399);
        mpfr_init(r22400);
        mpfr_init(r22401);
        mpfr_init_set_str(r22402, "2", 10, MPFR_RNDN);
        mpfr_init(r22403);
        mpfr_init(r22404);
        mpfr_init(r22405);
        mpfr_init(r22406);
        mpfr_init(r22407);
        mpfr_init(r22408);
        mpfr_init(r22409);
        mpfr_init(r22410);
        mpfr_init(r22411);
        mpfr_init(r22412);
        mpfr_init(r22413);
        mpfr_init(r22414);
        mpfr_init(r22415);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22399, Om, MPFR_RNDN);
        mpfr_set_d(r22400, Omc, MPFR_RNDN);
        mpfr_div(r22401, r22399, r22400, MPFR_RNDN);
        ;
        mpfr_pow(r22403, r22401, r22402, MPFR_RNDN);
        mpfr_sub(r22404, r22398, r22403, MPFR_RNDN);
        mpfr_set_d(r22405, t, MPFR_RNDN);
        mpfr_set_d(r22406, l, MPFR_RNDN);
        mpfr_div(r22407, r22405, r22406, MPFR_RNDN);
        mpfr_pow(r22408, r22407, r22402, MPFR_RNDN);
        mpfr_mul(r22409, r22402, r22408, MPFR_RNDN);
        mpfr_add(r22410, r22398, r22409, MPFR_RNDN);
        mpfr_div(r22411, r22404, r22410, MPFR_RNDN);
        mpfr_sqrt(r22412, r22411, MPFR_RNDN);
        mpfr_asin(r22413, r22412, MPFR_RNDN);
        mpfr_log1p(r22414, r22413, MPFR_RNDN);
        mpfr_expm1(r22415, r22414, MPFR_RNDN);
        return mpfr_get_d(r22415, MPFR_RNDN);
}

static mpfr_t r22416, r22417, 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(r22416, "1", 10, MPFR_RNDN);
        mpfr_init(r22417);
        mpfr_init(r22418);
        mpfr_init(r22419);
        mpfr_init_set_str(r22420, "2", 10, MPFR_RNDN);
        mpfr_init(r22421);
        mpfr_init(r22422);
        mpfr_init(r22423);
        mpfr_init(r22424);
        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(r22417, Om, MPFR_RNDN);
        mpfr_set_d(r22418, Omc, MPFR_RNDN);
        mpfr_div(r22419, r22417, r22418, MPFR_RNDN);
        ;
        mpfr_pow(r22421, r22419, r22420, MPFR_RNDN);
        mpfr_sub(r22422, r22416, r22421, MPFR_RNDN);
        mpfr_set_d(r22423, t, MPFR_RNDN);
        mpfr_set_d(r22424, l, MPFR_RNDN);
        mpfr_div(r22425, r22423, r22424, MPFR_RNDN);
        mpfr_pow(r22426, r22425, r22420, MPFR_RNDN);
        mpfr_mul(r22427, r22420, r22426, MPFR_RNDN);
        mpfr_add(r22428, r22416, r22427, MPFR_RNDN);
        mpfr_div(r22429, r22422, r22428, MPFR_RNDN);
        mpfr_sqrt(r22430, r22429, MPFR_RNDN);
        mpfr_asin(r22431, r22430, MPFR_RNDN);
        mpfr_log1p(r22432, r22431, MPFR_RNDN);
        mpfr_expm1(r22433, r22432, MPFR_RNDN);
        return mpfr_get_d(r22433, MPFR_RNDN);
}

