#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 r22235 = 1;
        float r22236 = Om;
        float r22237 = Omc;
        float r22238 = r22236 / r22237;
        float r22239 = 2;
        float r22240 = pow(r22238, r22239);
        float r22241 = r22235 - r22240;
        float r22242 = t;
        float r22243 = l;
        float r22244 = r22242 / r22243;
        float r22245 = pow(r22244, r22239);
        float r22246 = r22239 * r22245;
        float r22247 = r22235 + r22246;
        float r22248 = r22241 / r22247;
        float r22249 = sqrt(r22248);
        float r22250 = asin(r22249);
        return r22250;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22251 = 1;
        double r22252 = Om;
        double r22253 = Omc;
        double r22254 = r22252 / r22253;
        double r22255 = 2;
        double r22256 = pow(r22254, r22255);
        double r22257 = r22251 - r22256;
        double r22258 = t;
        double r22259 = l;
        double r22260 = r22258 / r22259;
        double r22261 = pow(r22260, r22255);
        double r22262 = r22255 * r22261;
        double r22263 = r22251 + r22262;
        double r22264 = r22257 / r22263;
        double r22265 = sqrt(r22264);
        double r22266 = asin(r22265);
        return r22266;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22267 = 1;
        float r22268 = Om;
        float r22269 = Omc;
        float r22270 = r22268 / r22269;
        float r22271 = 2;
        float r22272 = pow(r22270, r22271);
        float r22273 = r22267 - r22272;
        float r22274 = t;
        float r22275 = l;
        float r22276 = r22274 / r22275;
        float r22277 = pow(r22276, r22271);
        float r22278 = r22271 * r22277;
        float r22279 = r22267 + r22278;
        float r22280 = r22273 / r22279;
        float r22281 = sqrt(r22280);
        float r22282 = asin(r22281);
        float r22283 = log1p(r22282);
        float r22284 = expm1(r22283);
        return r22284;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22285 = 1;
        double r22286 = Om;
        double r22287 = Omc;
        double r22288 = r22286 / r22287;
        double r22289 = 2;
        double r22290 = pow(r22288, r22289);
        double r22291 = r22285 - r22290;
        double r22292 = t;
        double r22293 = l;
        double r22294 = r22292 / r22293;
        double r22295 = pow(r22294, r22289);
        double r22296 = r22289 * r22295;
        double r22297 = r22285 + r22296;
        double r22298 = r22291 / r22297;
        double r22299 = sqrt(r22298);
        double r22300 = asin(r22299);
        double r22301 = log1p(r22300);
        double r22302 = expm1(r22301);
        return r22302;
}

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 r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22303, "1", 10, MPFR_RNDN);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init_set_str(r22307, "2", 10, MPFR_RNDN);
        mpfr_init(r22308);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init(r22313);
        mpfr_init(r22314);
        mpfr_init(r22315);
        mpfr_init(r22316);
        mpfr_init(r22317);
        mpfr_init(r22318);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22304, Om, MPFR_RNDN);
        mpfr_set_d(r22305, Omc, MPFR_RNDN);
        mpfr_div(r22306, r22304, r22305, MPFR_RNDN);
        ;
        mpfr_pow(r22308, r22306, r22307, MPFR_RNDN);
        mpfr_sub(r22309, r22303, r22308, MPFR_RNDN);
        mpfr_set_d(r22310, t, MPFR_RNDN);
        mpfr_set_d(r22311, l, MPFR_RNDN);
        mpfr_div(r22312, r22310, r22311, MPFR_RNDN);
        mpfr_pow(r22313, r22312, r22307, MPFR_RNDN);
        mpfr_mul(r22314, r22307, r22313, MPFR_RNDN);
        mpfr_add(r22315, r22303, r22314, MPFR_RNDN);
        mpfr_div(r22316, r22309, r22315, MPFR_RNDN);
        mpfr_sqrt(r22317, r22316, MPFR_RNDN);
        mpfr_asin(r22318, r22317, MPFR_RNDN);
        return mpfr_get_d(r22318, MPFR_RNDN);
}

static mpfr_t r22319, r22320, r22321, r22322, r22323, r22324, r22325, r22326, r22327, r22328, r22329, r22330, r22331, r22332, r22333, r22334, r22335, r22336;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22319, "1", 10, MPFR_RNDN);
        mpfr_init(r22320);
        mpfr_init(r22321);
        mpfr_init(r22322);
        mpfr_init_set_str(r22323, "2", 10, MPFR_RNDN);
        mpfr_init(r22324);
        mpfr_init(r22325);
        mpfr_init(r22326);
        mpfr_init(r22327);
        mpfr_init(r22328);
        mpfr_init(r22329);
        mpfr_init(r22330);
        mpfr_init(r22331);
        mpfr_init(r22332);
        mpfr_init(r22333);
        mpfr_init(r22334);
        mpfr_init(r22335);
        mpfr_init(r22336);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22320, Om, MPFR_RNDN);
        mpfr_set_d(r22321, Omc, MPFR_RNDN);
        mpfr_div(r22322, r22320, r22321, MPFR_RNDN);
        ;
        mpfr_pow(r22324, r22322, r22323, MPFR_RNDN);
        mpfr_sub(r22325, r22319, r22324, MPFR_RNDN);
        mpfr_set_d(r22326, t, MPFR_RNDN);
        mpfr_set_d(r22327, l, MPFR_RNDN);
        mpfr_div(r22328, r22326, r22327, MPFR_RNDN);
        mpfr_pow(r22329, r22328, r22323, MPFR_RNDN);
        mpfr_mul(r22330, r22323, r22329, MPFR_RNDN);
        mpfr_add(r22331, r22319, r22330, MPFR_RNDN);
        mpfr_div(r22332, r22325, r22331, MPFR_RNDN);
        mpfr_sqrt(r22333, r22332, MPFR_RNDN);
        mpfr_asin(r22334, r22333, MPFR_RNDN);
        mpfr_log1p(r22335, r22334, MPFR_RNDN);
        mpfr_expm1(r22336, r22335, MPFR_RNDN);
        return mpfr_get_d(r22336, MPFR_RNDN);
}

static mpfr_t r22337, r22338, r22339, r22340, r22341, r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22337, "1", 10, MPFR_RNDN);
        mpfr_init(r22338);
        mpfr_init(r22339);
        mpfr_init(r22340);
        mpfr_init_set_str(r22341, "2", 10, MPFR_RNDN);
        mpfr_init(r22342);
        mpfr_init(r22343);
        mpfr_init(r22344);
        mpfr_init(r22345);
        mpfr_init(r22346);
        mpfr_init(r22347);
        mpfr_init(r22348);
        mpfr_init(r22349);
        mpfr_init(r22350);
        mpfr_init(r22351);
        mpfr_init(r22352);
        mpfr_init(r22353);
        mpfr_init(r22354);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22338, Om, MPFR_RNDN);
        mpfr_set_d(r22339, Omc, MPFR_RNDN);
        mpfr_div(r22340, r22338, r22339, MPFR_RNDN);
        ;
        mpfr_pow(r22342, r22340, r22341, MPFR_RNDN);
        mpfr_sub(r22343, r22337, r22342, MPFR_RNDN);
        mpfr_set_d(r22344, t, MPFR_RNDN);
        mpfr_set_d(r22345, l, MPFR_RNDN);
        mpfr_div(r22346, r22344, r22345, MPFR_RNDN);
        mpfr_pow(r22347, r22346, r22341, MPFR_RNDN);
        mpfr_mul(r22348, r22341, r22347, MPFR_RNDN);
        mpfr_add(r22349, r22337, r22348, MPFR_RNDN);
        mpfr_div(r22350, r22343, r22349, MPFR_RNDN);
        mpfr_sqrt(r22351, r22350, MPFR_RNDN);
        mpfr_asin(r22352, r22351, MPFR_RNDN);
        mpfr_log1p(r22353, r22352, MPFR_RNDN);
        mpfr_expm1(r22354, r22353, MPFR_RNDN);
        return mpfr_get_d(r22354, MPFR_RNDN);
}