#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 r22106 = 1;
        float r22107 = Om;
        float r22108 = Omc;
        float r22109 = r22107 / r22108;
        float r22110 = 2;
        float r22111 = pow(r22109, r22110);
        float r22112 = r22106 - r22111;
        float r22113 = t;
        float r22114 = l;
        float r22115 = r22113 / r22114;
        float r22116 = pow(r22115, r22110);
        float r22117 = r22110 * r22116;
        float r22118 = r22106 + r22117;
        float r22119 = r22112 / r22118;
        float r22120 = sqrt(r22119);
        float r22121 = asin(r22120);
        return r22121;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22122 = 1;
        double r22123 = Om;
        double r22124 = Omc;
        double r22125 = r22123 / r22124;
        double r22126 = 2;
        double r22127 = pow(r22125, r22126);
        double r22128 = r22122 - r22127;
        double r22129 = t;
        double r22130 = l;
        double r22131 = r22129 / r22130;
        double r22132 = pow(r22131, r22126);
        double r22133 = r22126 * r22132;
        double r22134 = r22122 + r22133;
        double r22135 = r22128 / r22134;
        double r22136 = sqrt(r22135);
        double r22137 = asin(r22136);
        return r22137;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22138 = 1;
        float r22139 = Om;
        float r22140 = Omc;
        float r22141 = r22139 / r22140;
        float r22142 = 2;
        float r22143 = pow(r22141, r22142);
        float r22144 = r22138 - r22143;
        float r22145 = sqrt(r22144);
        float r22146 = t;
        float r22147 = l;
        float r22148 = r22146 / r22147;
        float r22149 = pow(r22148, r22142);
        float r22150 = r22142 * r22149;
        float r22151 = r22138 + r22150;
        float r22152 = sqrt(r22151);
        float r22153 = r22145 / r22152;
        float r22154 = asin(r22153);
        return r22154;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22155 = 1;
        double r22156 = Om;
        double r22157 = Omc;
        double r22158 = r22156 / r22157;
        double r22159 = 2;
        double r22160 = pow(r22158, r22159);
        double r22161 = r22155 - r22160;
        double r22162 = sqrt(r22161);
        double r22163 = t;
        double r22164 = l;
        double r22165 = r22163 / r22164;
        double r22166 = pow(r22165, r22159);
        double r22167 = r22159 * r22166;
        double r22168 = r22155 + r22167;
        double r22169 = sqrt(r22168);
        double r22170 = r22162 / r22169;
        double r22171 = asin(r22170);
        return r22171;
}

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 r22172, r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22172, "1", 10, MPFR_RNDN);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init_set_str(r22176, "2", 10, MPFR_RNDN);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22173, Om, MPFR_RNDN);
        mpfr_set_d(r22174, Omc, MPFR_RNDN);
        mpfr_div(r22175, r22173, r22174, MPFR_RNDN);
        ;
        mpfr_pow(r22177, r22175, r22176, MPFR_RNDN);
        mpfr_sub(r22178, r22172, r22177, MPFR_RNDN);
        mpfr_set_d(r22179, t, MPFR_RNDN);
        mpfr_set_d(r22180, l, MPFR_RNDN);
        mpfr_div(r22181, r22179, r22180, MPFR_RNDN);
        mpfr_pow(r22182, r22181, r22176, MPFR_RNDN);
        mpfr_mul(r22183, r22176, r22182, MPFR_RNDN);
        mpfr_add(r22184, r22172, r22183, MPFR_RNDN);
        mpfr_div(r22185, r22178, r22184, MPFR_RNDN);
        mpfr_sqrt(r22186, r22185, MPFR_RNDN);
        mpfr_asin(r22187, r22186, MPFR_RNDN);
        return mpfr_get_d(r22187, MPFR_RNDN);
}

static mpfr_t r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201, r22202, r22203, r22204;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22188, "1", 10, MPFR_RNDN);
        mpfr_init(r22189);
        mpfr_init(r22190);
        mpfr_init(r22191);
        mpfr_init_set_str(r22192, "2", 10, MPFR_RNDN);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22189, Om, MPFR_RNDN);
        mpfr_set_d(r22190, Omc, MPFR_RNDN);
        mpfr_div(r22191, r22189, r22190, MPFR_RNDN);
        ;
        mpfr_pow(r22193, r22191, r22192, MPFR_RNDN);
        mpfr_sub(r22194, r22188, r22193, MPFR_RNDN);
        mpfr_sqrt(r22195, r22194, MPFR_RNDN);
        mpfr_set_d(r22196, t, MPFR_RNDN);
        mpfr_set_d(r22197, l, MPFR_RNDN);
        mpfr_div(r22198, r22196, r22197, MPFR_RNDN);
        mpfr_pow(r22199, r22198, r22192, MPFR_RNDN);
        mpfr_mul(r22200, r22192, r22199, MPFR_RNDN);
        mpfr_add(r22201, r22188, r22200, MPFR_RNDN);
        mpfr_sqrt(r22202, r22201, MPFR_RNDN);
        mpfr_div(r22203, r22195, r22202, MPFR_RNDN);
        mpfr_asin(r22204, r22203, MPFR_RNDN);
        return mpfr_get_d(r22204, MPFR_RNDN);
}

static mpfr_t r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init_set_str(r22205, "1", 10, MPFR_RNDN);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init_set_str(r22209, "2", 10, MPFR_RNDN);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init(r22213);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22206, Om, MPFR_RNDN);
        mpfr_set_d(r22207, Omc, MPFR_RNDN);
        mpfr_div(r22208, r22206, r22207, MPFR_RNDN);
        ;
        mpfr_pow(r22210, r22208, r22209, MPFR_RNDN);
        mpfr_sub(r22211, r22205, r22210, MPFR_RNDN);
        mpfr_sqrt(r22212, r22211, MPFR_RNDN);
        mpfr_set_d(r22213, t, MPFR_RNDN);
        mpfr_set_d(r22214, l, MPFR_RNDN);
        mpfr_div(r22215, r22213, r22214, MPFR_RNDN);
        mpfr_pow(r22216, r22215, r22209, MPFR_RNDN);
        mpfr_mul(r22217, r22209, r22216, MPFR_RNDN);
        mpfr_add(r22218, r22205, r22217, MPFR_RNDN);
        mpfr_sqrt(r22219, r22218, MPFR_RNDN);
        mpfr_div(r22220, r22212, r22219, MPFR_RNDN);
        mpfr_asin(r22221, r22220, MPFR_RNDN);
        return mpfr_get_d(r22221, MPFR_RNDN);
}