#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 r22119 = 1;
        float r22120 = Om;
        float r22121 = Omc;
        float r22122 = r22120 / r22121;
        float r22123 = 2;
        float r22124 = pow(r22122, r22123);
        float r22125 = r22119 - r22124;
        float r22126 = t;
        float r22127 = l;
        float r22128 = r22126 / r22127;
        float r22129 = pow(r22128, r22123);
        float r22130 = r22123 * r22129;
        float r22131 = r22119 + r22130;
        float r22132 = r22125 / r22131;
        float r22133 = sqrt(r22132);
        float r22134 = asin(r22133);
        return r22134;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22135 = 1;
        double r22136 = Om;
        double r22137 = Omc;
        double r22138 = r22136 / r22137;
        double r22139 = 2;
        double r22140 = pow(r22138, r22139);
        double r22141 = r22135 - r22140;
        double r22142 = t;
        double r22143 = l;
        double r22144 = r22142 / r22143;
        double r22145 = pow(r22144, r22139);
        double r22146 = r22139 * r22145;
        double r22147 = r22135 + r22146;
        double r22148 = r22141 / r22147;
        double r22149 = sqrt(r22148);
        double r22150 = asin(r22149);
        return r22150;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22151 = 1;
        float r22152 = Om;
        float r22153 = Omc;
        float r22154 = r22152 / r22153;
        float r22155 = 2;
        float r22156 = pow(r22154, r22155);
        float r22157 = r22151 - r22156;
        float r22158 = sqrt(r22157);
        float r22159 = t;
        float r22160 = l;
        float r22161 = r22159 / r22160;
        float r22162 = pow(r22161, r22155);
        float r22163 = r22155 * r22162;
        float r22164 = r22151 + r22163;
        float r22165 = sqrt(r22164);
        float r22166 = r22158 / r22165;
        float r22167 = asin(r22166);
        return r22167;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22168 = 1;
        double r22169 = Om;
        double r22170 = Omc;
        double r22171 = r22169 / r22170;
        double r22172 = 2;
        double r22173 = pow(r22171, r22172);
        double r22174 = r22168 - r22173;
        double r22175 = sqrt(r22174);
        double r22176 = t;
        double r22177 = l;
        double r22178 = r22176 / r22177;
        double r22179 = pow(r22178, r22172);
        double r22180 = r22172 * r22179;
        double r22181 = r22168 + r22180;
        double r22182 = sqrt(r22181);
        double r22183 = r22175 / r22182;
        double r22184 = asin(r22183);
        return r22184;
}

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 r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22185, "1", 10, MPFR_RNDN);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init_set_str(r22189, "2", 10, MPFR_RNDN);
        mpfr_init(r22190);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22186, Om, MPFR_RNDN);
        mpfr_set_d(r22187, Omc, MPFR_RNDN);
        mpfr_div(r22188, r22186, r22187, MPFR_RNDN);
        ;
        mpfr_pow(r22190, r22188, r22189, MPFR_RNDN);
        mpfr_sub(r22191, r22185, r22190, MPFR_RNDN);
        mpfr_set_d(r22192, t, MPFR_RNDN);
        mpfr_set_d(r22193, l, MPFR_RNDN);
        mpfr_div(r22194, r22192, r22193, MPFR_RNDN);
        mpfr_pow(r22195, r22194, r22189, MPFR_RNDN);
        mpfr_mul(r22196, r22189, r22195, MPFR_RNDN);
        mpfr_add(r22197, r22185, r22196, MPFR_RNDN);
        mpfr_div(r22198, r22191, r22197, MPFR_RNDN);
        mpfr_sqrt(r22199, r22198, MPFR_RNDN);
        mpfr_asin(r22200, r22199, MPFR_RNDN);
        return mpfr_get_d(r22200, MPFR_RNDN);
}

static mpfr_t r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22201, "1", 10, MPFR_RNDN);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init_set_str(r22205, "2", 10, MPFR_RNDN);
        mpfr_init(r22206);
        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_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22202, Om, MPFR_RNDN);
        mpfr_set_d(r22203, Omc, MPFR_RNDN);
        mpfr_div(r22204, r22202, r22203, MPFR_RNDN);
        ;
        mpfr_pow(r22206, r22204, r22205, MPFR_RNDN);
        mpfr_sub(r22207, r22201, r22206, MPFR_RNDN);
        mpfr_sqrt(r22208, 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, r22205, MPFR_RNDN);
        mpfr_mul(r22213, r22205, r22212, MPFR_RNDN);
        mpfr_add(r22214, r22201, r22213, MPFR_RNDN);
        mpfr_sqrt(r22215, r22214, MPFR_RNDN);
        mpfr_div(r22216, r22208, 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;

void setup_mpfr_f_dm() {
        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);
}

double f_dm(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_sqrt(r22225, r22224, MPFR_RNDN);
        mpfr_set_d(r22226, t, MPFR_RNDN);
        mpfr_set_d(r22227, l, MPFR_RNDN);
        mpfr_div(r22228, r22226, r22227, MPFR_RNDN);
        mpfr_pow(r22229, r22228, r22222, MPFR_RNDN);
        mpfr_mul(r22230, r22222, r22229, MPFR_RNDN);
        mpfr_add(r22231, r22218, r22230, MPFR_RNDN);
        mpfr_sqrt(r22232, r22231, MPFR_RNDN);
        mpfr_div(r22233, r22225, r22232, MPFR_RNDN);
        mpfr_asin(r22234, r22233, MPFR_RNDN);
        return mpfr_get_d(r22234, MPFR_RNDN);
}