#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 r22142 = 1;
        float r22143 = Om;
        float r22144 = Omc;
        float r22145 = r22143 / r22144;
        float r22146 = 2;
        float r22147 = pow(r22145, r22146);
        float r22148 = r22142 - r22147;
        float r22149 = t;
        float r22150 = l;
        float r22151 = r22149 / r22150;
        float r22152 = pow(r22151, r22146);
        float r22153 = r22146 * r22152;
        float r22154 = r22142 + r22153;
        float r22155 = r22148 / r22154;
        float r22156 = sqrt(r22155);
        float r22157 = asin(r22156);
        return r22157;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22158 = 1;
        double r22159 = Om;
        double r22160 = Omc;
        double r22161 = r22159 / r22160;
        double r22162 = 2;
        double r22163 = pow(r22161, r22162);
        double r22164 = r22158 - r22163;
        double r22165 = t;
        double r22166 = l;
        double r22167 = r22165 / r22166;
        double r22168 = pow(r22167, r22162);
        double r22169 = r22162 * r22168;
        double r22170 = r22158 + r22169;
        double r22171 = r22164 / r22170;
        double r22172 = sqrt(r22171);
        double r22173 = asin(r22172);
        return r22173;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22174 = 1;
        float r22175 = 3;
        float r22176 = pow(r22174, r22175);
        float r22177 = Om;
        float r22178 = Omc;
        float r22179 = r22177 / r22178;
        float r22180 = r22179 * r22179;
        float r22181 = pow(r22180, r22175);
        float r22182 = r22176 - r22181;
        float r22183 = 2;
        float r22184 = l;
        float r22185 = t;
        float r22186 = r22184 / r22185;
        float r22187 = r22186 * r22186;
        float r22188 = r22183 / r22187;
        float r22189 = r22174 + r22188;
        float r22190 = r22180 * r22180;
        float r22191 = r22180 + r22174;
        float r22192 = r22190 + r22191;
        float r22193 = r22189 * r22192;
        float r22194 = r22182 / r22193;
        float r22195 = sqrt(r22194);
        float r22196 = asin(r22195);
        return r22196;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22197 = 1;
        double r22198 = 3;
        double r22199 = pow(r22197, r22198);
        double r22200 = Om;
        double r22201 = Omc;
        double r22202 = r22200 / r22201;
        double r22203 = r22202 * r22202;
        double r22204 = pow(r22203, r22198);
        double r22205 = r22199 - r22204;
        double r22206 = 2;
        double r22207 = l;
        double r22208 = t;
        double r22209 = r22207 / r22208;
        double r22210 = r22209 * r22209;
        double r22211 = r22206 / r22210;
        double r22212 = r22197 + r22211;
        double r22213 = r22203 * r22203;
        double r22214 = r22203 + r22197;
        double r22215 = r22213 + r22214;
        double r22216 = r22212 * r22215;
        double r22217 = r22205 / r22216;
        double r22218 = sqrt(r22217);
        double r22219 = asin(r22218);
        return r22219;
}

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

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22220, "1", 10, MPFR_RNDN);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init(r22223);
        mpfr_init_set_str(r22224, "2", 10, MPFR_RNDN);
        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_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22221, Om, MPFR_RNDN);
        mpfr_set_d(r22222, Omc, MPFR_RNDN);
        mpfr_div(r22223, r22221, r22222, MPFR_RNDN);
        ;
        mpfr_pow(r22225, r22223, r22224, MPFR_RNDN);
        mpfr_sub(r22226, r22220, r22225, MPFR_RNDN);
        mpfr_set_d(r22227, t, MPFR_RNDN);
        mpfr_set_d(r22228, l, MPFR_RNDN);
        mpfr_div(r22229, r22227, r22228, MPFR_RNDN);
        mpfr_pow(r22230, r22229, r22224, MPFR_RNDN);
        mpfr_mul(r22231, r22224, r22230, MPFR_RNDN);
        mpfr_add(r22232, r22220, r22231, MPFR_RNDN);
        mpfr_div(r22233, r22226, r22232, MPFR_RNDN);
        mpfr_sqrt(r22234, r22233, MPFR_RNDN);
        mpfr_asin(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, r22254, r22255, r22256, r22257, r22258;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22236, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22237, "3", 10, MPFR_RNDN);
        mpfr_init(r22238);
        mpfr_init(r22239);
        mpfr_init(r22240);
        mpfr_init(r22241);
        mpfr_init(r22242);
        mpfr_init(r22243);
        mpfr_init(r22244);
        mpfr_init_set_str(r22245, "2", 10, MPFR_RNDN);
        mpfr_init(r22246);
        mpfr_init(r22247);
        mpfr_init(r22248);
        mpfr_init(r22249);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        ;
        mpfr_pow(r22238, r22236, r22237, MPFR_RNDN);
        mpfr_set_d(r22239, Om, MPFR_RNDN);
        mpfr_set_d(r22240, Omc, MPFR_RNDN);
        mpfr_div(r22241, r22239, r22240, MPFR_RNDN);
        mpfr_mul(r22242, r22241, r22241, MPFR_RNDN);
        mpfr_pow(r22243, r22242, r22237, MPFR_RNDN);
        mpfr_sub(r22244, r22238, r22243, MPFR_RNDN);
        ;
        mpfr_set_d(r22246, l, MPFR_RNDN);
        mpfr_set_d(r22247, t, MPFR_RNDN);
        mpfr_div(r22248, r22246, r22247, MPFR_RNDN);
        mpfr_mul(r22249, r22248, r22248, MPFR_RNDN);
        mpfr_div(r22250, r22245, r22249, MPFR_RNDN);
        mpfr_add(r22251, r22236, r22250, MPFR_RNDN);
        mpfr_mul(r22252, r22242, r22242, MPFR_RNDN);
        mpfr_add(r22253, r22242, r22236, MPFR_RNDN);
        mpfr_add(r22254, r22252, r22253, MPFR_RNDN);
        mpfr_mul(r22255, r22251, r22254, MPFR_RNDN);
        mpfr_div(r22256, r22244, r22255, MPFR_RNDN);
        mpfr_sqrt(r22257, r22256, MPFR_RNDN);
        mpfr_asin(r22258, r22257, MPFR_RNDN);
        return mpfr_get_d(r22258, MPFR_RNDN);
}

static mpfr_t r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269, r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22259, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22260, "3", 10, MPFR_RNDN);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init_set_str(r22268, "2", 10, MPFR_RNDN);
        mpfr_init(r22269);
        mpfr_init(r22270);
        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);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        ;
        mpfr_pow(r22261, r22259, r22260, MPFR_RNDN);
        mpfr_set_d(r22262, Om, MPFR_RNDN);
        mpfr_set_d(r22263, Omc, MPFR_RNDN);
        mpfr_div(r22264, r22262, r22263, MPFR_RNDN);
        mpfr_mul(r22265, r22264, r22264, MPFR_RNDN);
        mpfr_pow(r22266, r22265, r22260, MPFR_RNDN);
        mpfr_sub(r22267, r22261, r22266, MPFR_RNDN);
        ;
        mpfr_set_d(r22269, l, MPFR_RNDN);
        mpfr_set_d(r22270, t, MPFR_RNDN);
        mpfr_div(r22271, r22269, r22270, MPFR_RNDN);
        mpfr_mul(r22272, r22271, r22271, MPFR_RNDN);
        mpfr_div(r22273, r22268, r22272, MPFR_RNDN);
        mpfr_add(r22274, r22259, r22273, MPFR_RNDN);
        mpfr_mul(r22275, r22265, r22265, MPFR_RNDN);
        mpfr_add(r22276, r22265, r22259, MPFR_RNDN);
        mpfr_add(r22277, r22275, r22276, MPFR_RNDN);
        mpfr_mul(r22278, r22274, r22277, MPFR_RNDN);
        mpfr_div(r22279, r22267, r22278, MPFR_RNDN);
        mpfr_sqrt(r22280, r22279, MPFR_RNDN);
        mpfr_asin(r22281, r22280, MPFR_RNDN);
        return mpfr_get_d(r22281, MPFR_RNDN);
}

