#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 r22134 = 1;
        float r22135 = Om;
        float r22136 = Omc;
        float r22137 = r22135 / r22136;
        float r22138 = 2;
        float r22139 = pow(r22137, r22138);
        float r22140 = r22134 - r22139;
        float r22141 = t;
        float r22142 = l;
        float r22143 = r22141 / r22142;
        float r22144 = pow(r22143, r22138);
        float r22145 = r22138 * r22144;
        float r22146 = r22134 + r22145;
        float r22147 = r22140 / r22146;
        float r22148 = sqrt(r22147);
        float r22149 = asin(r22148);
        return r22149;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22150 = 1;
        double r22151 = Om;
        double r22152 = Omc;
        double r22153 = r22151 / r22152;
        double r22154 = 2;
        double r22155 = pow(r22153, r22154);
        double r22156 = r22150 - r22155;
        double r22157 = t;
        double r22158 = l;
        double r22159 = r22157 / r22158;
        double r22160 = pow(r22159, r22154);
        double r22161 = r22154 * r22160;
        double r22162 = r22150 + r22161;
        double r22163 = r22156 / r22162;
        double r22164 = sqrt(r22163);
        double r22165 = asin(r22164);
        return r22165;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22166 = 1;
        float r22167 = Om;
        float r22168 = Omc;
        float r22169 = r22167 / r22168;
        float r22170 = 2;
        float r22171 = pow(r22169, r22170);
        float r22172 = r22166 - r22171;
        float r22173 = t;
        float r22174 = l;
        float r22175 = r22173 / r22174;
        float r22176 = pow(r22175, r22170);
        float r22177 = r22170 * r22176;
        float r22178 = r22166 + r22177;
        float r22179 = r22172 / r22178;
        float r22180 = sqrt(r22179);
        float r22181 = asin(r22180);
        float r22182 = log1p(r22181);
        float r22183 = expm1(r22182);
        return r22183;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22184 = 1;
        double r22185 = Om;
        double r22186 = Omc;
        double r22187 = r22185 / r22186;
        double r22188 = 2;
        double r22189 = pow(r22187, r22188);
        double r22190 = r22184 - r22189;
        double r22191 = t;
        double r22192 = l;
        double r22193 = r22191 / r22192;
        double r22194 = pow(r22193, r22188);
        double r22195 = r22188 * r22194;
        double r22196 = r22184 + r22195;
        double r22197 = r22190 / r22196;
        double r22198 = sqrt(r22197);
        double r22199 = asin(r22198);
        double r22200 = log1p(r22199);
        double r22201 = expm1(r22200);
        return r22201;
}

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 r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22202, "1", 10, MPFR_RNDN);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init(r22205);
        mpfr_init_set_str(r22206, "2", 10, MPFR_RNDN);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init(r22213);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22203, Om, MPFR_RNDN);
        mpfr_set_d(r22204, Omc, MPFR_RNDN);
        mpfr_div(r22205, r22203, r22204, MPFR_RNDN);
        ;
        mpfr_pow(r22207, r22205, r22206, MPFR_RNDN);
        mpfr_sub(r22208, r22202, r22207, MPFR_RNDN);
        mpfr_set_d(r22209, t, MPFR_RNDN);
        mpfr_set_d(r22210, l, MPFR_RNDN);
        mpfr_div(r22211, r22209, r22210, MPFR_RNDN);
        mpfr_pow(r22212, r22211, r22206, MPFR_RNDN);
        mpfr_mul(r22213, r22206, r22212, MPFR_RNDN);
        mpfr_add(r22214, r22202, r22213, MPFR_RNDN);
        mpfr_div(r22215, r22208, r22214, MPFR_RNDN);
        mpfr_sqrt(r22216, r22215, MPFR_RNDN);
        mpfr_asin(r22217, r22216, MPFR_RNDN);
        return mpfr_get_d(r22217, MPFR_RNDN);
}

static mpfr_t r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227, r22228, r22229, r22230, r22231, r22232, r22233, r22234, r22235;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22218, "1", 10, MPFR_RNDN);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
        mpfr_init_set_str(r22222, "2", 10, MPFR_RNDN);
        mpfr_init(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
        mpfr_init(r22227);
        mpfr_init(r22228);
        mpfr_init(r22229);
        mpfr_init(r22230);
        mpfr_init(r22231);
        mpfr_init(r22232);
        mpfr_init(r22233);
        mpfr_init(r22234);
        mpfr_init(r22235);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22219, Om, MPFR_RNDN);
        mpfr_set_d(r22220, Omc, MPFR_RNDN);
        mpfr_div(r22221, r22219, r22220, MPFR_RNDN);
        ;
        mpfr_pow(r22223, r22221, r22222, MPFR_RNDN);
        mpfr_sub(r22224, r22218, r22223, MPFR_RNDN);
        mpfr_set_d(r22225, t, MPFR_RNDN);
        mpfr_set_d(r22226, l, MPFR_RNDN);
        mpfr_div(r22227, r22225, r22226, MPFR_RNDN);
        mpfr_pow(r22228, r22227, r22222, MPFR_RNDN);
        mpfr_mul(r22229, r22222, r22228, MPFR_RNDN);
        mpfr_add(r22230, r22218, r22229, MPFR_RNDN);
        mpfr_div(r22231, r22224, r22230, MPFR_RNDN);
        mpfr_sqrt(r22232, r22231, MPFR_RNDN);
        mpfr_asin(r22233, r22232, MPFR_RNDN);
        mpfr_log1p(r22234, r22233, MPFR_RNDN);
        mpfr_expm1(r22235, r22234, MPFR_RNDN);
        return mpfr_get_d(r22235, MPFR_RNDN);
}

static mpfr_t r22236, r22237, r22238, r22239, r22240, r22241, r22242, r22243, r22244, r22245, r22246, r22247, r22248, r22249, r22250, r22251, r22252, r22253;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22236, "1", 10, MPFR_RNDN);
        mpfr_init(r22237);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init_set_str(r22240, "2", 10, MPFR_RNDN);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init(r22245);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22237, Om, MPFR_RNDN);
        mpfr_set_d(r22238, Omc, MPFR_RNDN);
        mpfr_div(r22239, r22237, r22238, MPFR_RNDN);
        ;
        mpfr_pow(r22241, r22239, r22240, MPFR_RNDN);
        mpfr_sub(r22242, r22236, r22241, MPFR_RNDN);
        mpfr_set_d(r22243, t, MPFR_RNDN);
        mpfr_set_d(r22244, l, MPFR_RNDN);
        mpfr_div(r22245, r22243, r22244, MPFR_RNDN);
        mpfr_pow(r22246, r22245, r22240, MPFR_RNDN);
        mpfr_mul(r22247, r22240, r22246, MPFR_RNDN);
        mpfr_add(r22248, r22236, r22247, MPFR_RNDN);
        mpfr_div(r22249, r22242, r22248, MPFR_RNDN);
        mpfr_sqrt(r22250, r22249, MPFR_RNDN);
        mpfr_asin(r22251, r22250, MPFR_RNDN);
        mpfr_log1p(r22252, r22251, MPFR_RNDN);
        mpfr_expm1(r22253, r22252, MPFR_RNDN);
        return mpfr_get_d(r22253, MPFR_RNDN);
}