#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 r8615 = 1;
        float r8616 = Om;
        float r8617 = Omc;
        float r8618 = r8616 / r8617;
        float r8619 = 2;
        float r8620 = pow(r8618, r8619);
        float r8621 = r8615 - r8620;
        float r8622 = t;
        float r8623 = l;
        float r8624 = r8622 / r8623;
        float r8625 = pow(r8624, r8619);
        float r8626 = r8619 * r8625;
        float r8627 = r8615 + r8626;
        float r8628 = r8621 / r8627;
        float r8629 = sqrt(r8628);
        float r8630 = asin(r8629);
        return r8630;
}

double f_id(double t, double l, double Om, double Omc) {
        double r8631 = 1;
        double r8632 = Om;
        double r8633 = Omc;
        double r8634 = r8632 / r8633;
        double r8635 = 2;
        double r8636 = pow(r8634, r8635);
        double r8637 = r8631 - r8636;
        double r8638 = t;
        double r8639 = l;
        double r8640 = r8638 / r8639;
        double r8641 = pow(r8640, r8635);
        double r8642 = r8635 * r8641;
        double r8643 = r8631 + r8642;
        double r8644 = r8637 / r8643;
        double r8645 = sqrt(r8644);
        double r8646 = asin(r8645);
        return r8646;
}


double f_of(float t, float l, float Om, float Omc) {
        float r8647 = 1;
        float r8648 = Om;
        float r8649 = Omc;
        float r8650 = r8648 / r8649;
        float r8651 = 2;
        float r8652 = pow(r8650, r8651);
        float r8653 = r8647 - r8652;
        float r8654 = t;
        float r8655 = l;
        float r8656 = r8654 / r8655;
        float r8657 = pow(r8656, r8651);
        float r8658 = r8651 * r8657;
        float r8659 = r8647 + r8658;
        float r8660 = r8653 / r8659;
        float r8661 = sqrt(r8660);
        float r8662 = asin(r8661);
        return r8662;
}

double f_od(double t, double l, double Om, double Omc) {
        double r8663 = 1;
        double r8664 = Om;
        double r8665 = Omc;
        double r8666 = r8664 / r8665;
        double r8667 = 2;
        double r8668 = pow(r8666, r8667);
        double r8669 = r8663 - r8668;
        double r8670 = t;
        double r8671 = l;
        double r8672 = r8670 / r8671;
        double r8673 = pow(r8672, r8667);
        double r8674 = r8667 * r8673;
        double r8675 = r8663 + r8674;
        double r8676 = r8669 / r8675;
        double r8677 = sqrt(r8676);
        double r8678 = asin(r8677);
        return r8678;
}

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 r8679, r8680, r8681, r8682, r8683, r8684, r8685, r8686, r8687, r8688, r8689, r8690, r8691, r8692, r8693, r8694;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8679, "1", 10, MPFR_RNDN);
        mpfr_init(r8680);
        mpfr_init(r8681);
        mpfr_init(r8682);
        mpfr_init_set_str(r8683, "2", 10, MPFR_RNDN);
        mpfr_init(r8684);
        mpfr_init(r8685);
        mpfr_init(r8686);
        mpfr_init(r8687);
        mpfr_init(r8688);
        mpfr_init(r8689);
        mpfr_init(r8690);
        mpfr_init(r8691);
        mpfr_init(r8692);
        mpfr_init(r8693);
        mpfr_init(r8694);
}

double f_im(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8680, Om, MPFR_RNDN);
        mpfr_set_d(r8681, Omc, MPFR_RNDN);
        mpfr_div(r8682, r8680, r8681, MPFR_RNDN);
        ;
        mpfr_pow(r8684, r8682, r8683, MPFR_RNDN);
        mpfr_sub(r8685, r8679, r8684, MPFR_RNDN);
        mpfr_set_d(r8686, t, MPFR_RNDN);
        mpfr_set_d(r8687, l, MPFR_RNDN);
        mpfr_div(r8688, r8686, r8687, MPFR_RNDN);
        mpfr_pow(r8689, r8688, r8683, MPFR_RNDN);
        mpfr_mul(r8690, r8683, r8689, MPFR_RNDN);
        mpfr_add(r8691, r8679, r8690, MPFR_RNDN);
        mpfr_div(r8692, r8685, r8691, MPFR_RNDN);
        mpfr_sqrt(r8693, r8692, MPFR_RNDN);
        mpfr_asin(r8694, r8693, MPFR_RNDN);
        return mpfr_get_d(r8694, MPFR_RNDN);
}

static mpfr_t r8695, r8696, r8697, r8698, r8699, r8700, r8701, r8702, r8703, r8704, r8705, r8706, r8707, r8708, r8709, r8710;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8695, "1", 10, MPFR_RNDN);
        mpfr_init(r8696);
        mpfr_init(r8697);
        mpfr_init(r8698);
        mpfr_init_set_str(r8699, "2", 10, MPFR_RNDN);
        mpfr_init(r8700);
        mpfr_init(r8701);
        mpfr_init(r8702);
        mpfr_init(r8703);
        mpfr_init(r8704);
        mpfr_init(r8705);
        mpfr_init(r8706);
        mpfr_init(r8707);
        mpfr_init(r8708);
        mpfr_init(r8709);
        mpfr_init(r8710);
}

double f_fm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8696, Om, MPFR_RNDN);
        mpfr_set_d(r8697, Omc, MPFR_RNDN);
        mpfr_div(r8698, r8696, r8697, MPFR_RNDN);
        ;
        mpfr_pow(r8700, r8698, r8699, MPFR_RNDN);
        mpfr_sub(r8701, r8695, r8700, MPFR_RNDN);
        mpfr_set_d(r8702, t, MPFR_RNDN);
        mpfr_set_d(r8703, l, MPFR_RNDN);
        mpfr_div(r8704, r8702, r8703, MPFR_RNDN);
        mpfr_pow(r8705, r8704, r8699, MPFR_RNDN);
        mpfr_mul(r8706, r8699, r8705, MPFR_RNDN);
        mpfr_add(r8707, r8695, r8706, MPFR_RNDN);
        mpfr_div(r8708, r8701, r8707, MPFR_RNDN);
        mpfr_sqrt(r8709, r8708, MPFR_RNDN);
        mpfr_asin(r8710, r8709, MPFR_RNDN);
        return mpfr_get_d(r8710, MPFR_RNDN);
}

static mpfr_t r8711, r8712, r8713, r8714, r8715, r8716, r8717, r8718, r8719, r8720, r8721, r8722, r8723, r8724, r8725, r8726;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r8711, "1", 10, MPFR_RNDN);
        mpfr_init(r8712);
        mpfr_init(r8713);
        mpfr_init(r8714);
        mpfr_init_set_str(r8715, "2", 10, MPFR_RNDN);
        mpfr_init(r8716);
        mpfr_init(r8717);
        mpfr_init(r8718);
        mpfr_init(r8719);
        mpfr_init(r8720);
        mpfr_init(r8721);
        mpfr_init(r8722);
        mpfr_init(r8723);
        mpfr_init(r8724);
        mpfr_init(r8725);
        mpfr_init(r8726);
}

double f_dm(double t, double l, double Om, double Omc) {
        ;
        mpfr_set_d(r8712, Om, MPFR_RNDN);
        mpfr_set_d(r8713, Omc, MPFR_RNDN);
        mpfr_div(r8714, r8712, r8713, MPFR_RNDN);
        ;
        mpfr_pow(r8716, r8714, r8715, MPFR_RNDN);
        mpfr_sub(r8717, r8711, r8716, MPFR_RNDN);
        mpfr_set_d(r8718, t, MPFR_RNDN);
        mpfr_set_d(r8719, l, MPFR_RNDN);
        mpfr_div(r8720, r8718, r8719, MPFR_RNDN);
        mpfr_pow(r8721, r8720, r8715, MPFR_RNDN);
        mpfr_mul(r8722, r8715, r8721, MPFR_RNDN);
        mpfr_add(r8723, r8711, r8722, MPFR_RNDN);
        mpfr_div(r8724, r8717, r8723, MPFR_RNDN);
        mpfr_sqrt(r8725, r8724, MPFR_RNDN);
        mpfr_asin(r8726, r8725, MPFR_RNDN);
        return mpfr_get_d(r8726, MPFR_RNDN);
}

