#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 r22164 = 1;
        float r22165 = Om;
        float r22166 = Omc;
        float r22167 = r22165 / r22166;
        float r22168 = 2;
        float r22169 = pow(r22167, r22168);
        float r22170 = r22164 - r22169;
        float r22171 = t;
        float r22172 = l;
        float r22173 = r22171 / r22172;
        float r22174 = pow(r22173, r22168);
        float r22175 = r22168 * r22174;
        float r22176 = r22164 + r22175;
        float r22177 = r22170 / r22176;
        float r22178 = sqrt(r22177);
        float r22179 = asin(r22178);
        return r22179;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22180 = 1;
        double r22181 = Om;
        double r22182 = Omc;
        double r22183 = r22181 / r22182;
        double r22184 = 2;
        double r22185 = pow(r22183, r22184);
        double r22186 = r22180 - r22185;
        double r22187 = t;
        double r22188 = l;
        double r22189 = r22187 / r22188;
        double r22190 = pow(r22189, r22184);
        double r22191 = r22184 * r22190;
        double r22192 = r22180 + r22191;
        double r22193 = r22186 / r22192;
        double r22194 = sqrt(r22193);
        double r22195 = asin(r22194);
        return r22195;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22196 = 1;
        float r22197 = Om;
        float r22198 = Omc;
        float r22199 = r22197 / r22198;
        float r22200 = 2;
        float r22201 = pow(r22199, r22200);
        float r22202 = r22196 - r22201;
        float r22203 = t;
        float r22204 = l;
        float r22205 = r22203 / r22204;
        float r22206 = pow(r22205, r22200);
        float r22207 = r22200 * r22206;
        float r22208 = r22196 + r22207;
        float r22209 = r22202 / r22208;
        float r22210 = sqrt(r22209);
        float r22211 = asin(r22210);
        float r22212 = log1p(r22211);
        float r22213 = expm1(r22212);
        return r22213;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22214 = 1;
        double r22215 = Om;
        double r22216 = Omc;
        double r22217 = r22215 / r22216;
        double r22218 = 2;
        double r22219 = pow(r22217, r22218);
        double r22220 = r22214 - r22219;
        double r22221 = t;
        double r22222 = l;
        double r22223 = r22221 / r22222;
        double r22224 = pow(r22223, r22218);
        double r22225 = r22218 * r22224;
        double r22226 = r22214 + r22225;
        double r22227 = r22220 / r22226;
        double r22228 = sqrt(r22227);
        double r22229 = asin(r22228);
        double r22230 = log1p(r22229);
        double r22231 = expm1(r22230);
        return r22231;
}

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 r22232, r22233, r22234, r22235, r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22232, "1", 10, MPFR_RNDN);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
        mpfr_init_set_str(r22236, "2", 10, MPFR_RNDN);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init(r22245);
        mpfr_init(r22246);
        mpfr_init(r22247);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22233, Om, MPFR_RNDN);
        mpfr_set_d(r22234, Omc, MPFR_RNDN);
        mpfr_div(r22235, r22233, r22234, MPFR_RNDN);
        ;
        mpfr_pow(r22237, r22235, r22236, MPFR_RNDN);
        mpfr_sub(r22238, r22232, r22237, MPFR_RNDN);
        mpfr_set_d(r22239, t, MPFR_RNDN);
        mpfr_set_d(r22240, l, MPFR_RNDN);
        mpfr_div(r22241, r22239, r22240, MPFR_RNDN);
        mpfr_pow(r22242, r22241, r22236, MPFR_RNDN);
        mpfr_mul(r22243, r22236, r22242, MPFR_RNDN);
        mpfr_add(r22244, r22232, r22243, MPFR_RNDN);
        mpfr_div(r22245, r22238, r22244, MPFR_RNDN);
        mpfr_sqrt(r22246, r22245, MPFR_RNDN);
        mpfr_asin(r22247, r22246, MPFR_RNDN);
        return mpfr_get_d(r22247, MPFR_RNDN);
}

static mpfr_t r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22248, "1", 10, MPFR_RNDN);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init_set_str(r22252, "2", 10, MPFR_RNDN);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22249, Om, MPFR_RNDN);
        mpfr_set_d(r22250, Omc, MPFR_RNDN);
        mpfr_div(r22251, r22249, r22250, MPFR_RNDN);
        ;
        mpfr_pow(r22253, r22251, r22252, MPFR_RNDN);
        mpfr_sub(r22254, r22248, r22253, MPFR_RNDN);
        mpfr_set_d(r22255, t, MPFR_RNDN);
        mpfr_set_d(r22256, l, MPFR_RNDN);
        mpfr_div(r22257, r22255, r22256, MPFR_RNDN);
        mpfr_pow(r22258, r22257, r22252, MPFR_RNDN);
        mpfr_mul(r22259, r22252, r22258, MPFR_RNDN);
        mpfr_add(r22260, r22248, r22259, MPFR_RNDN);
        mpfr_div(r22261, r22254, r22260, MPFR_RNDN);
        mpfr_sqrt(r22262, r22261, MPFR_RNDN);
        mpfr_asin(r22263, r22262, MPFR_RNDN);
        mpfr_log1p(r22264, r22263, MPFR_RNDN);
        mpfr_expm1(r22265, r22264, MPFR_RNDN);
        return mpfr_get_d(r22265, MPFR_RNDN);
}

static mpfr_t r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22266, "1", 10, MPFR_RNDN);
        mpfr_init(r22267);
        mpfr_init(r22268);
        mpfr_init(r22269);
        mpfr_init_set_str(r22270, "2", 10, MPFR_RNDN);
        mpfr_init(r22271);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        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);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22267, Om, MPFR_RNDN);
        mpfr_set_d(r22268, Omc, MPFR_RNDN);
        mpfr_div(r22269, r22267, r22268, MPFR_RNDN);
        ;
        mpfr_pow(r22271, r22269, r22270, MPFR_RNDN);
        mpfr_sub(r22272, r22266, r22271, MPFR_RNDN);
        mpfr_set_d(r22273, t, MPFR_RNDN);
        mpfr_set_d(r22274, l, MPFR_RNDN);
        mpfr_div(r22275, r22273, r22274, MPFR_RNDN);
        mpfr_pow(r22276, r22275, r22270, MPFR_RNDN);
        mpfr_mul(r22277, r22270, r22276, MPFR_RNDN);
        mpfr_add(r22278, r22266, r22277, MPFR_RNDN);
        mpfr_div(r22279, r22272, r22278, MPFR_RNDN);
        mpfr_sqrt(r22280, r22279, MPFR_RNDN);
        mpfr_asin(r22281, r22280, MPFR_RNDN);
        mpfr_log1p(r22282, r22281, MPFR_RNDN);
        mpfr_expm1(r22283, r22282, MPFR_RNDN);
        return mpfr_get_d(r22283, MPFR_RNDN);
}