#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 r22202 = 1;
        float r22203 = Om;
        float r22204 = Omc;
        float r22205 = r22203 / r22204;
        float r22206 = 2;
        float r22207 = pow(r22205, r22206);
        float r22208 = r22202 - r22207;
        float r22209 = t;
        float r22210 = l;
        float r22211 = r22209 / r22210;
        float r22212 = pow(r22211, r22206);
        float r22213 = r22206 * r22212;
        float r22214 = r22202 + r22213;
        float r22215 = r22208 / r22214;
        float r22216 = sqrt(r22215);
        float r22217 = asin(r22216);
        return r22217;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22218 = 1;
        double r22219 = Om;
        double r22220 = Omc;
        double r22221 = r22219 / r22220;
        double r22222 = 2;
        double r22223 = pow(r22221, r22222);
        double r22224 = r22218 - r22223;
        double r22225 = t;
        double r22226 = l;
        double r22227 = r22225 / r22226;
        double r22228 = pow(r22227, r22222);
        double r22229 = r22222 * r22228;
        double r22230 = r22218 + r22229;
        double r22231 = r22224 / r22230;
        double r22232 = sqrt(r22231);
        double r22233 = asin(r22232);
        return r22233;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22234 = 1;
        float r22235 = Om;
        float r22236 = Omc;
        float r22237 = r22235 / r22236;
        float r22238 = 2;
        float r22239 = pow(r22237, r22238);
        float r22240 = r22234 - r22239;
        float r22241 = t;
        float r22242 = l;
        float r22243 = r22241 / r22242;
        float r22244 = pow(r22243, r22238);
        float r22245 = r22238 * r22244;
        float r22246 = r22234 + r22245;
        float r22247 = r22240 / r22246;
        float r22248 = sqrt(r22247);
        float r22249 = asin(r22248);
        float r22250 = log1p(r22249);
        float r22251 = expm1(r22250);
        return r22251;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22252 = 1;
        double r22253 = Om;
        double r22254 = Omc;
        double r22255 = r22253 / r22254;
        double r22256 = 2;
        double r22257 = pow(r22255, r22256);
        double r22258 = r22252 - r22257;
        double r22259 = t;
        double r22260 = l;
        double r22261 = r22259 / r22260;
        double r22262 = pow(r22261, r22256);
        double r22263 = r22256 * r22262;
        double r22264 = r22252 + r22263;
        double r22265 = r22258 / r22264;
        double r22266 = sqrt(r22265);
        double r22267 = asin(r22266);
        double r22268 = log1p(r22267);
        double r22269 = expm1(r22268);
        return r22269;
}

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 r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22270, "1", 10, MPFR_RNDN);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init_set_str(r22274, "2", 10, MPFR_RNDN);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22271, Om, MPFR_RNDN);
        mpfr_set_d(r22272, Omc, MPFR_RNDN);
        mpfr_div(r22273, r22271, r22272, MPFR_RNDN);
        ;
        mpfr_pow(r22275, r22273, r22274, MPFR_RNDN);
        mpfr_sub(r22276, r22270, r22275, MPFR_RNDN);
        mpfr_set_d(r22277, t, MPFR_RNDN);
        mpfr_set_d(r22278, l, MPFR_RNDN);
        mpfr_div(r22279, r22277, r22278, MPFR_RNDN);
        mpfr_pow(r22280, r22279, r22274, MPFR_RNDN);
        mpfr_mul(r22281, r22274, r22280, MPFR_RNDN);
        mpfr_add(r22282, r22270, r22281, MPFR_RNDN);
        mpfr_div(r22283, r22276, r22282, MPFR_RNDN);
        mpfr_sqrt(r22284, r22283, MPFR_RNDN);
        mpfr_asin(r22285, r22284, MPFR_RNDN);
        return mpfr_get_d(r22285, MPFR_RNDN);
}

static mpfr_t r22286, r22287, r22288, r22289, r22290, r22291, r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22286, "1", 10, MPFR_RNDN);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init_set_str(r22290, "2", 10, MPFR_RNDN);
        mpfr_init(r22291);
        mpfr_init(r22292);
        mpfr_init(r22293);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22287, Om, MPFR_RNDN);
        mpfr_set_d(r22288, Omc, MPFR_RNDN);
        mpfr_div(r22289, r22287, r22288, MPFR_RNDN);
        ;
        mpfr_pow(r22291, r22289, r22290, MPFR_RNDN);
        mpfr_sub(r22292, r22286, r22291, MPFR_RNDN);
        mpfr_set_d(r22293, t, MPFR_RNDN);
        mpfr_set_d(r22294, l, MPFR_RNDN);
        mpfr_div(r22295, r22293, r22294, MPFR_RNDN);
        mpfr_pow(r22296, r22295, r22290, MPFR_RNDN);
        mpfr_mul(r22297, r22290, r22296, MPFR_RNDN);
        mpfr_add(r22298, r22286, r22297, MPFR_RNDN);
        mpfr_div(r22299, r22292, r22298, MPFR_RNDN);
        mpfr_sqrt(r22300, r22299, MPFR_RNDN);
        mpfr_asin(r22301, r22300, MPFR_RNDN);
        mpfr_log1p(r22302, r22301, MPFR_RNDN);
        mpfr_expm1(r22303, r22302, MPFR_RNDN);
        return mpfr_get_d(r22303, MPFR_RNDN);
}

static mpfr_t r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313, r22314, r22315, r22316, r22317, r22318, r22319, r22320, r22321;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22304, "1", 10, MPFR_RNDN);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init_set_str(r22308, "2", 10, MPFR_RNDN);
        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);
        mpfr_init(r22319);
        mpfr_init(r22320);
        mpfr_init(r22321);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22305, Om, MPFR_RNDN);
        mpfr_set_d(r22306, Omc, MPFR_RNDN);
        mpfr_div(r22307, r22305, r22306, MPFR_RNDN);
        ;
        mpfr_pow(r22309, r22307, r22308, MPFR_RNDN);
        mpfr_sub(r22310, r22304, r22309, MPFR_RNDN);
        mpfr_set_d(r22311, t, MPFR_RNDN);
        mpfr_set_d(r22312, l, MPFR_RNDN);
        mpfr_div(r22313, r22311, r22312, MPFR_RNDN);
        mpfr_pow(r22314, r22313, r22308, MPFR_RNDN);
        mpfr_mul(r22315, r22308, r22314, MPFR_RNDN);
        mpfr_add(r22316, r22304, r22315, MPFR_RNDN);
        mpfr_div(r22317, r22310, r22316, MPFR_RNDN);
        mpfr_sqrt(r22318, r22317, MPFR_RNDN);
        mpfr_asin(r22319, r22318, MPFR_RNDN);
        mpfr_log1p(r22320, r22319, MPFR_RNDN);
        mpfr_expm1(r22321, r22320, MPFR_RNDN);
        return mpfr_get_d(r22321, MPFR_RNDN);
}