#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r8663 = 1;
        float r8664 = 2;
        float r8665 = r8663 / r8664;
        float r8666 = l;
        float r8667 = r8664 * r8666;
        float r8668 = Om;
        float r8669 = r8667 / r8668;
        float r8670 = pow(r8669, r8664);
        float r8671 = kx;
        float r8672 = sin(r8671);
        float r8673 = pow(r8672, r8664);
        float r8674 = ky;
        float r8675 = sin(r8674);
        float r8676 = pow(r8675, r8664);
        float r8677 = r8673 + r8676;
        float r8678 = r8670 * r8677;
        float r8679 = r8663 + r8678;
        float r8680 = sqrt(r8679);
        float r8681 = r8663 / r8680;
        float r8682 = r8663 + r8681;
        float r8683 = r8665 * r8682;
        float r8684 = sqrt(r8683);
        return r8684;
}

double f_id(double l, double Om, double kx, double ky) {
        double r8685 = 1;
        double r8686 = 2;
        double r8687 = r8685 / r8686;
        double r8688 = l;
        double r8689 = r8686 * r8688;
        double r8690 = Om;
        double r8691 = r8689 / r8690;
        double r8692 = pow(r8691, r8686);
        double r8693 = kx;
        double r8694 = sin(r8693);
        double r8695 = pow(r8694, r8686);
        double r8696 = ky;
        double r8697 = sin(r8696);
        double r8698 = pow(r8697, r8686);
        double r8699 = r8695 + r8698;
        double r8700 = r8692 * r8699;
        double r8701 = r8685 + r8700;
        double r8702 = sqrt(r8701);
        double r8703 = r8685 / r8702;
        double r8704 = r8685 + r8703;
        double r8705 = r8687 * r8704;
        double r8706 = sqrt(r8705);
        return r8706;
}


double f_of(float l, float Om, float kx, float ky) {
        float r8707 = 1;
        float r8708 = 2;
        float r8709 = r8707 / r8708;
        float r8710 = l;
        float r8711 = r8708 * r8710;
        float r8712 = ky;
        float r8713 = sin(r8712);
        float r8714 = kx;
        float r8715 = sin(r8714);
        float r8716 = hypot(r8713, r8715);
        float r8717 = Om;
        float r8718 = r8716 / r8717;
        float r8719 = r8711 * r8718;
        float r8720 = pow(r8719, r8708);
        float r8721 = r8707 + r8720;
        float r8722 = sqrt(r8721);
        float r8723 = r8707 / r8722;
        float r8724 = r8707 + r8723;
        float r8725 = r8709 * r8724;
        float r8726 = sqrt(r8725);
        return r8726;
}

double f_od(double l, double Om, double kx, double ky) {
        double r8727 = 1;
        double r8728 = 2;
        double r8729 = r8727 / r8728;
        double r8730 = l;
        double r8731 = r8728 * r8730;
        double r8732 = ky;
        double r8733 = sin(r8732);
        double r8734 = kx;
        double r8735 = sin(r8734);
        double r8736 = hypot(r8733, r8735);
        double r8737 = Om;
        double r8738 = r8736 / r8737;
        double r8739 = r8731 * r8738;
        double r8740 = pow(r8739, r8728);
        double r8741 = r8727 + r8740;
        double r8742 = sqrt(r8741);
        double r8743 = r8727 / r8742;
        double r8744 = r8727 + r8743;
        double r8745 = r8729 * r8744;
        double r8746 = sqrt(r8745);
        return r8746;
}

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 r8747, r8748, r8749, r8750, r8751, r8752, r8753, r8754, r8755, r8756, r8757, r8758, r8759, r8760, r8761, r8762, r8763, r8764, r8765, r8766, r8767, r8768;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8747, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8748, "2", 10, MPFR_RNDN);
        mpfr_init(r8749);
        mpfr_init(r8750);
        mpfr_init(r8751);
        mpfr_init(r8752);
        mpfr_init(r8753);
        mpfr_init(r8754);
        mpfr_init(r8755);
        mpfr_init(r8756);
        mpfr_init(r8757);
        mpfr_init(r8758);
        mpfr_init(r8759);
        mpfr_init(r8760);
        mpfr_init(r8761);
        mpfr_init(r8762);
        mpfr_init(r8763);
        mpfr_init(r8764);
        mpfr_init(r8765);
        mpfr_init(r8766);
        mpfr_init(r8767);
        mpfr_init(r8768);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8749, r8747, r8748, MPFR_RNDN);
        mpfr_set_d(r8750, l, MPFR_RNDN);
        mpfr_mul(r8751, r8748, r8750, MPFR_RNDN);
        mpfr_set_d(r8752, Om, MPFR_RNDN);
        mpfr_div(r8753, r8751, r8752, MPFR_RNDN);
        mpfr_pow(r8754, r8753, r8748, MPFR_RNDN);
        mpfr_set_d(r8755, kx, MPFR_RNDN);
        mpfr_sin(r8756, r8755, MPFR_RNDN);
        mpfr_pow(r8757, r8756, r8748, MPFR_RNDN);
        mpfr_set_d(r8758, ky, MPFR_RNDN);
        mpfr_sin(r8759, r8758, MPFR_RNDN);
        mpfr_pow(r8760, r8759, r8748, MPFR_RNDN);
        mpfr_add(r8761, r8757, r8760, MPFR_RNDN);
        mpfr_mul(r8762, r8754, r8761, MPFR_RNDN);
        mpfr_add(r8763, r8747, r8762, MPFR_RNDN);
        mpfr_sqrt(r8764, r8763, MPFR_RNDN);
        mpfr_div(r8765, r8747, r8764, MPFR_RNDN);
        mpfr_add(r8766, r8747, r8765, MPFR_RNDN);
        mpfr_mul(r8767, r8749, r8766, MPFR_RNDN);
        mpfr_sqrt(r8768, r8767, MPFR_RNDN);
        return mpfr_get_d(r8768, MPFR_RNDN);
}

static mpfr_t r8769, r8770, r8771, r8772, r8773, r8774, r8775, r8776, r8777, r8778, r8779, r8780, r8781, r8782, r8783, r8784, r8785, r8786, r8787, r8788;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8769, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8770, "2", 10, MPFR_RNDN);
        mpfr_init(r8771);
        mpfr_init(r8772);
        mpfr_init(r8773);
        mpfr_init(r8774);
        mpfr_init(r8775);
        mpfr_init(r8776);
        mpfr_init(r8777);
        mpfr_init(r8778);
        mpfr_init(r8779);
        mpfr_init(r8780);
        mpfr_init(r8781);
        mpfr_init(r8782);
        mpfr_init(r8783);
        mpfr_init(r8784);
        mpfr_init(r8785);
        mpfr_init(r8786);
        mpfr_init(r8787);
        mpfr_init(r8788);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8771, r8769, r8770, MPFR_RNDN);
        mpfr_set_d(r8772, l, MPFR_RNDN);
        mpfr_mul(r8773, r8770, r8772, MPFR_RNDN);
        mpfr_set_d(r8774, ky, MPFR_RNDN);
        mpfr_sin(r8775, r8774, MPFR_RNDN);
        mpfr_set_d(r8776, kx, MPFR_RNDN);
        mpfr_sin(r8777, r8776, MPFR_RNDN);
        mpfr_hypot(r8778, r8775, r8777, MPFR_RNDN);
        mpfr_set_d(r8779, Om, MPFR_RNDN);
        mpfr_div(r8780, r8778, r8779, MPFR_RNDN);
        mpfr_mul(r8781, r8773, r8780, MPFR_RNDN);
        mpfr_pow(r8782, r8781, r8770, MPFR_RNDN);
        mpfr_add(r8783, r8769, r8782, MPFR_RNDN);
        mpfr_sqrt(r8784, r8783, MPFR_RNDN);
        mpfr_div(r8785, r8769, r8784, MPFR_RNDN);
        mpfr_add(r8786, r8769, r8785, MPFR_RNDN);
        mpfr_mul(r8787, r8771, r8786, MPFR_RNDN);
        mpfr_sqrt(r8788, r8787, MPFR_RNDN);
        return mpfr_get_d(r8788, MPFR_RNDN);
}

static mpfr_t r8789, r8790, r8791, r8792, r8793, r8794, r8795, r8796, r8797, r8798, r8799, r8800, r8801, r8802, r8803, r8804, r8805, r8806, r8807, r8808;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r8789, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r8790, "2", 10, MPFR_RNDN);
        mpfr_init(r8791);
        mpfr_init(r8792);
        mpfr_init(r8793);
        mpfr_init(r8794);
        mpfr_init(r8795);
        mpfr_init(r8796);
        mpfr_init(r8797);
        mpfr_init(r8798);
        mpfr_init(r8799);
        mpfr_init(r8800);
        mpfr_init(r8801);
        mpfr_init(r8802);
        mpfr_init(r8803);
        mpfr_init(r8804);
        mpfr_init(r8805);
        mpfr_init(r8806);
        mpfr_init(r8807);
        mpfr_init(r8808);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r8791, r8789, r8790, MPFR_RNDN);
        mpfr_set_d(r8792, l, MPFR_RNDN);
        mpfr_mul(r8793, r8790, r8792, MPFR_RNDN);
        mpfr_set_d(r8794, ky, MPFR_RNDN);
        mpfr_sin(r8795, r8794, MPFR_RNDN);
        mpfr_set_d(r8796, kx, MPFR_RNDN);
        mpfr_sin(r8797, r8796, MPFR_RNDN);
        mpfr_hypot(r8798, r8795, r8797, MPFR_RNDN);
        mpfr_set_d(r8799, Om, MPFR_RNDN);
        mpfr_div(r8800, r8798, r8799, MPFR_RNDN);
        mpfr_mul(r8801, r8793, r8800, MPFR_RNDN);
        mpfr_pow(r8802, r8801, r8790, MPFR_RNDN);
        mpfr_add(r8803, r8789, r8802, MPFR_RNDN);
        mpfr_sqrt(r8804, r8803, MPFR_RNDN);
        mpfr_div(r8805, r8789, r8804, MPFR_RNDN);
        mpfr_add(r8806, r8789, r8805, MPFR_RNDN);
        mpfr_mul(r8807, r8791, r8806, MPFR_RNDN);
        mpfr_sqrt(r8808, r8807, MPFR_RNDN);
        return mpfr_get_d(r8808, MPFR_RNDN);
}