#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 r22076 = 1;
        float r22077 = Om;
        float r22078 = Omc;
        float r22079 = r22077 / r22078;
        float r22080 = 2;
        float r22081 = pow(r22079, r22080);
        float r22082 = r22076 - r22081;
        float r22083 = t;
        float r22084 = l;
        float r22085 = r22083 / r22084;
        float r22086 = pow(r22085, r22080);
        float r22087 = r22080 * r22086;
        float r22088 = r22076 + r22087;
        float r22089 = r22082 / r22088;
        float r22090 = sqrt(r22089);
        float r22091 = asin(r22090);
        return r22091;
}

double f_id(double t, double l, double Om, double Omc) {
        double r22092 = 1;
        double r22093 = Om;
        double r22094 = Omc;
        double r22095 = r22093 / r22094;
        double r22096 = 2;
        double r22097 = pow(r22095, r22096);
        double r22098 = r22092 - r22097;
        double r22099 = t;
        double r22100 = l;
        double r22101 = r22099 / r22100;
        double r22102 = pow(r22101, r22096);
        double r22103 = r22096 * r22102;
        double r22104 = r22092 + r22103;
        double r22105 = r22098 / r22104;
        double r22106 = sqrt(r22105);
        double r22107 = asin(r22106);
        return r22107;
}


double f_of(float t, float l, float Om, float Omc) {
        float r22108 = t;
        float r22109 = l;
        float r22110 = r22108 / r22109;
        float r22111 = 2.3358524671356838e+120;
        bool r22112 = r22110 <= r22111;
        float r22113 = 1;
        float r22114 = Om;
        float r22115 = Omc;
        float r22116 = r22114 / r22115;
        float r22117 = r22116 * r22116;
        float r22118 = r22113 - r22117;
        float r22119 = 2;
        float r22120 = r22109 / r22108;
        float r22121 = r22119 / r22120;
        float r22122 = r22121 / r22120;
        float r22123 = r22122 + r22113;
        float r22124 = r22118 / r22123;
        float r22125 = sqrt(r22124);
        float r22126 = asin(r22125);
        float r22127 = sqrt(r22118);
        float r22128 = sqrt(r22119);
        float r22129 = r22108 * r22128;
        float r22130 = r22129 / r22109;
        float r22131 = r22127 / r22130;
        float r22132 = asin(r22131);
        float r22133 = r22112 ? r22126 : r22132;
        return r22133;
}

double f_od(double t, double l, double Om, double Omc) {
        double r22134 = t;
        double r22135 = l;
        double r22136 = r22134 / r22135;
        double r22137 = 2.3358524671356838e+120;
        bool r22138 = r22136 <= r22137;
        double r22139 = 1;
        double r22140 = Om;
        double r22141 = Omc;
        double r22142 = r22140 / r22141;
        double r22143 = r22142 * r22142;
        double r22144 = r22139 - r22143;
        double r22145 = 2;
        double r22146 = r22135 / r22134;
        double r22147 = r22145 / r22146;
        double r22148 = r22147 / r22146;
        double r22149 = r22148 + r22139;
        double r22150 = r22144 / r22149;
        double r22151 = sqrt(r22150);
        double r22152 = asin(r22151);
        double r22153 = sqrt(r22144);
        double r22154 = sqrt(r22145);
        double r22155 = r22134 * r22154;
        double r22156 = r22155 / r22135;
        double r22157 = r22153 / r22156;
        double r22158 = asin(r22157);
        double r22159 = r22138 ? r22152 : r22158;
        return r22159;
}

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 r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22160, "1", 10, MPFR_RNDN);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init_set_str(r22164, "2", 10, MPFR_RNDN);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r22161, Om, MPFR_RNDN);
        mpfr_set_d(r22162, Omc, MPFR_RNDN);
        mpfr_div(r22163, r22161, r22162, MPFR_RNDN);
        ;
        mpfr_pow(r22165, r22163, r22164, MPFR_RNDN);
        mpfr_sub(r22166, r22160, r22165, MPFR_RNDN);
        mpfr_set_d(r22167, t, MPFR_RNDN);
        mpfr_set_d(r22168, l, MPFR_RNDN);
        mpfr_div(r22169, r22167, r22168, MPFR_RNDN);
        mpfr_pow(r22170, r22169, r22164, MPFR_RNDN);
        mpfr_mul(r22171, r22164, r22170, MPFR_RNDN);
        mpfr_add(r22172, r22160, r22171, MPFR_RNDN);
        mpfr_div(r22173, r22166, r22172, MPFR_RNDN);
        mpfr_sqrt(r22174, r22173, MPFR_RNDN);
        mpfr_asin(r22175, r22174, MPFR_RNDN);
        return mpfr_get_d(r22175, MPFR_RNDN);
}

static mpfr_t r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198, r22199, r22200, r22201;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init_set_str(r22179, "2.3358524671356838e+120", 10, MPFR_RNDN);
        mpfr_init(r22180);
        mpfr_init_set_str(r22181, "1", 10, MPFR_RNDN);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init_set_str(r22187, "2", 10, MPFR_RNDN);
        mpfr_init(r22188);
        mpfr_init(r22189);
        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);
        mpfr_init(r22201);
}

double f_fm(double t, double l, double Om, double Omc) {
        mpfr_set_d(r22176, t, MPFR_RNDN);
        mpfr_set_d(r22177, l, MPFR_RNDN);
        mpfr_div(r22178, r22176, r22177, MPFR_RNDN);
        ;
        mpfr_set_si(r22180, mpfr_cmp(r22178, r22179) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r22182, Om, MPFR_RNDN);
        mpfr_set_d(r22183, Omc, MPFR_RNDN);
        mpfr_div(r22184, r22182, r22183, MPFR_RNDN);
        mpfr_mul(r22185, r22184, r22184, MPFR_RNDN);
        mpfr_sub(r22186, r22181, r22185, MPFR_RNDN);
        ;
        mpfr_div(r22188, r22177, r22176, MPFR_RNDN);
        mpfr_div(r22189, r22187, r22188, MPFR_RNDN);
        mpfr_div(r22190, r22189, r22188, MPFR_RNDN);
        mpfr_add(r22191, r22190, r22181, MPFR_RNDN);
        mpfr_div(r22192, r22186, r22191, MPFR_RNDN);
        mpfr_sqrt(r22193, r22192, MPFR_RNDN);
        mpfr_asin(r22194, r22193, MPFR_RNDN);
        mpfr_sqrt(r22195, r22186, MPFR_RNDN);
        mpfr_sqrt(r22196, r22187, MPFR_RNDN);
        mpfr_mul(r22197, r22176, r22196, MPFR_RNDN);
        mpfr_div(r22198, r22197, r22177, MPFR_RNDN);
        mpfr_div(r22199, r22195, r22198, MPFR_RNDN);
        mpfr_asin(r22200, r22199, MPFR_RNDN);
        if (mpfr_get_si(r22180, MPFR_RNDN)) { mpfr_set(r22201, r22194, MPFR_RNDN); } else { mpfr_set(r22201, r22200, MPFR_RNDN); };
        return mpfr_get_d(r22201, MPFR_RNDN);
}

static mpfr_t r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211, r22212, r22213, r22214, r22215, r22216, r22217, r22218, r22219, r22220, r22221, r22222, r22223, r22224, r22225, r22226, r22227;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22202);
        mpfr_init(r22203);
        mpfr_init(r22204);
        mpfr_init_set_str(r22205, "2.3358524671356838e+120", 10, MPFR_RNDN);
        mpfr_init(r22206);
        mpfr_init_set_str(r22207, "1", 10, MPFR_RNDN);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
        mpfr_init(r22212);
        mpfr_init_set_str(r22213, "2", 10, MPFR_RNDN);
        mpfr_init(r22214);
        mpfr_init(r22215);
        mpfr_init(r22216);
        mpfr_init(r22217);
        mpfr_init(r22218);
        mpfr_init(r22219);
        mpfr_init(r22220);
        mpfr_init(r22221);
        mpfr_init(r22222);
        mpfr_init(r22223);
        mpfr_init(r22224);
        mpfr_init(r22225);
        mpfr_init(r22226);
        mpfr_init(r22227);
}

double f_dm(double t, double l, double Om, double Omc) {
        mpfr_set_d(r22202, t, MPFR_RNDN);
        mpfr_set_d(r22203, l, MPFR_RNDN);
        mpfr_div(r22204, r22202, r22203, MPFR_RNDN);
        ;
        mpfr_set_si(r22206, mpfr_cmp(r22204, r22205) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r22208, Om, MPFR_RNDN);
        mpfr_set_d(r22209, Omc, MPFR_RNDN);
        mpfr_div(r22210, r22208, r22209, MPFR_RNDN);
        mpfr_mul(r22211, r22210, r22210, MPFR_RNDN);
        mpfr_sub(r22212, r22207, r22211, MPFR_RNDN);
        ;
        mpfr_div(r22214, r22203, r22202, MPFR_RNDN);
        mpfr_div(r22215, r22213, r22214, MPFR_RNDN);
        mpfr_div(r22216, r22215, r22214, MPFR_RNDN);
        mpfr_add(r22217, r22216, r22207, MPFR_RNDN);
        mpfr_div(r22218, r22212, r22217, MPFR_RNDN);
        mpfr_sqrt(r22219, r22218, MPFR_RNDN);
        mpfr_asin(r22220, r22219, MPFR_RNDN);
        mpfr_sqrt(r22221, r22212, MPFR_RNDN);
        mpfr_sqrt(r22222, r22213, MPFR_RNDN);
        mpfr_mul(r22223, r22202, r22222, MPFR_RNDN);
        mpfr_div(r22224, r22223, r22203, MPFR_RNDN);
        mpfr_div(r22225, r22221, r22224, MPFR_RNDN);
        mpfr_asin(r22226, r22225, MPFR_RNDN);
        if (mpfr_get_si(r22206, MPFR_RNDN)) { mpfr_set(r22227, r22220, MPFR_RNDN); } else { mpfr_set(r22227, r22226, MPFR_RNDN); };
        return mpfr_get_d(r22227, MPFR_RNDN);
}