#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 r8372 = 1.0f;
        float r8373 = Om;
        float r8374 = Omc;
        float r8375 = r8373 / r8374;
        float r8376 = 2.0f;
        float r8377 = pow(r8375, r8376);
        float r8378 = r8372 - r8377;
        float r8379 = t;
        float r8380 = l;
        float r8381 = r8379 / r8380;
        float r8382 = pow(r8381, r8376);
        float r8383 = r8376 * r8382;
        float r8384 = r8372 + r8383;
        float r8385 = r8378 / r8384;
        float r8386 = sqrt(r8385);
        float r8387 = asin(r8386);
        return r8387;
}

double f_id(double t, double l, double Om, double Omc) {
        double r8388 = 1.0;
        double r8389 = Om;
        double r8390 = Omc;
        double r8391 = r8389 / r8390;
        double r8392 = 2.0;
        double r8393 = pow(r8391, r8392);
        double r8394 = r8388 - r8393;
        double r8395 = t;
        double r8396 = l;
        double r8397 = r8395 / r8396;
        double r8398 = pow(r8397, r8392);
        double r8399 = r8392 * r8398;
        double r8400 = r8388 + r8399;
        double r8401 = r8394 / r8400;
        double r8402 = sqrt(r8401);
        double r8403 = asin(r8402);
        return r8403;
}


double f_of(float t, float l, float Om, float Omc) {
        float r8404 = 1.0f;
        float r8405 = Om;
        float r8406 = Omc;
        float r8407 = r8405 / r8406;
        float r8408 = r8407 * r8407;
        float r8409 = r8404 - r8408;
        float r8410 = t;
        float r8411 = l;
        float r8412 = r8410 / r8411;
        float r8413 = r8412 * r8412;
        float r8414 = 2.0f;
        float r8415 = fma(r8413, r8414, r8404);
        float r8416 = r8409 / r8415;
        float r8417 = sqrt(r8416);
        float r8418 = asin(r8417);
        return r8418;
}

double f_od(double t, double l, double Om, double Omc) {
        double r8419 = 1.0;
        double r8420 = Om;
        double r8421 = Omc;
        double r8422 = r8420 / r8421;
        double r8423 = r8422 * r8422;
        double r8424 = r8419 - r8423;
        double r8425 = t;
        double r8426 = l;
        double r8427 = r8425 / r8426;
        double r8428 = r8427 * r8427;
        double r8429 = 2.0;
        double r8430 = fma(r8428, r8429, r8419);
        double r8431 = r8424 / r8430;
        double r8432 = sqrt(r8431);
        double r8433 = asin(r8432);
        return r8433;
}

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 r8434, r8435, r8436, r8437, r8438, r8439, r8440, r8441, r8442, r8443, r8444, r8445, r8446, r8447, r8448, r8449;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8434, "1", 10, MPFR_RNDN);
        mpfr_init(r8435);
        mpfr_init(r8436);
        mpfr_init(r8437);
        mpfr_init_set_str(r8438, "2", 10, MPFR_RNDN);
        mpfr_init(r8439);
        mpfr_init(r8440);
        mpfr_init(r8441);
        mpfr_init(r8442);
        mpfr_init(r8443);
        mpfr_init(r8444);
        mpfr_init(r8445);
        mpfr_init(r8446);
        mpfr_init(r8447);
        mpfr_init(r8448);
        mpfr_init(r8449);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8435, Om, MPFR_RNDN);
        mpfr_set_d(r8436, Omc, MPFR_RNDN);
        mpfr_div(r8437, r8435, r8436, MPFR_RNDN);
        ;
        mpfr_pow(r8439, r8437, r8438, MPFR_RNDN);
        mpfr_sub(r8440, r8434, r8439, MPFR_RNDN);
        mpfr_set_d(r8441, t, MPFR_RNDN);
        mpfr_set_d(r8442, l, MPFR_RNDN);
        mpfr_div(r8443, r8441, r8442, MPFR_RNDN);
        mpfr_pow(r8444, r8443, r8438, MPFR_RNDN);
        mpfr_mul(r8445, r8438, r8444, MPFR_RNDN);
        mpfr_add(r8446, r8434, r8445, MPFR_RNDN);
        mpfr_div(r8447, r8440, r8446, MPFR_RNDN);
        mpfr_sqrt(r8448, r8447, MPFR_RNDN);
        mpfr_asin(r8449, r8448, MPFR_RNDN);
        return mpfr_get_d(r8449, MPFR_RNDN);
}

static mpfr_t r8450, r8451, r8452, r8453, r8454, r8455, r8456, r8457, r8458, r8459, r8460, r8461, r8462, r8463, r8464;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8450, "1", 10, MPFR_RNDN);
        mpfr_init(r8451);
        mpfr_init(r8452);
        mpfr_init(r8453);
        mpfr_init(r8454);
        mpfr_init(r8455);
        mpfr_init(r8456);
        mpfr_init(r8457);
        mpfr_init(r8458);
        mpfr_init(r8459);
        mpfr_init_set_str(r8460, "2", 10, MPFR_RNDN);
        mpfr_init(r8461);
        mpfr_init(r8462);
        mpfr_init(r8463);
        mpfr_init(r8464);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8451, Om, MPFR_RNDN);
        mpfr_set_d(r8452, Omc, MPFR_RNDN);
        mpfr_div(r8453, r8451, r8452, MPFR_RNDN);
        mpfr_mul(r8454, r8453, r8453, MPFR_RNDN);
        mpfr_sub(r8455, r8450, r8454, MPFR_RNDN);
        mpfr_set_d(r8456, t, MPFR_RNDN);
        mpfr_set_d(r8457, l, MPFR_RNDN);
        mpfr_div(r8458, r8456, r8457, MPFR_RNDN);
        mpfr_mul(r8459, r8458, r8458, MPFR_RNDN);
        ;
        mpfr_fma(r8461, r8459, r8460, r8450, MPFR_RNDN);
        mpfr_div(r8462, r8455, r8461, MPFR_RNDN);
        mpfr_sqrt(r8463, r8462, MPFR_RNDN);
        mpfr_asin(r8464, r8463, MPFR_RNDN);
        return mpfr_get_d(r8464, MPFR_RNDN);
}

static mpfr_t r8465, r8466, r8467, r8468, r8469, r8470, r8471, r8472, r8473, r8474, r8475, r8476, r8477, r8478, r8479;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8465, "1", 10, MPFR_RNDN);
        mpfr_init(r8466);
        mpfr_init(r8467);
        mpfr_init(r8468);
        mpfr_init(r8469);
        mpfr_init(r8470);
        mpfr_init(r8471);
        mpfr_init(r8472);
        mpfr_init(r8473);
        mpfr_init(r8474);
        mpfr_init_set_str(r8475, "2", 10, MPFR_RNDN);
        mpfr_init(r8476);
        mpfr_init(r8477);
        mpfr_init(r8478);
        mpfr_init(r8479);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8466, Om, MPFR_RNDN);
        mpfr_set_d(r8467, Omc, MPFR_RNDN);
        mpfr_div(r8468, r8466, r8467, MPFR_RNDN);
        mpfr_mul(r8469, r8468, r8468, MPFR_RNDN);
        mpfr_sub(r8470, r8465, r8469, MPFR_RNDN);
        mpfr_set_d(r8471, t, MPFR_RNDN);
        mpfr_set_d(r8472, l, MPFR_RNDN);
        mpfr_div(r8473, r8471, r8472, MPFR_RNDN);
        mpfr_mul(r8474, r8473, r8473, MPFR_RNDN);
        ;
        mpfr_fma(r8476, r8474, r8475, r8465, MPFR_RNDN);
        mpfr_div(r8477, r8470, r8476, MPFR_RNDN);
        mpfr_sqrt(r8478, r8477, MPFR_RNDN);
        mpfr_asin(r8479, r8478, MPFR_RNDN);
        return mpfr_get_d(r8479, MPFR_RNDN);
}

