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

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

double f_if(float kx, float ky, float th) {
        float r8646 = ky;
        float r8647 = sin(r8646);
        float r8648 = kx;
        float r8649 = sin(r8648);
        float r8650 = 2;
        float r8651 = pow(r8649, r8650);
        float r8652 = pow(r8647, r8650);
        float r8653 = r8651 + r8652;
        float r8654 = sqrt(r8653);
        float r8655 = r8647 / r8654;
        float r8656 = th;
        float r8657 = sin(r8656);
        float r8658 = r8655 * r8657;
        return r8658;
}

double f_id(double kx, double ky, double th) {
        double r8659 = ky;
        double r8660 = sin(r8659);
        double r8661 = kx;
        double r8662 = sin(r8661);
        double r8663 = 2;
        double r8664 = pow(r8662, r8663);
        double r8665 = pow(r8660, r8663);
        double r8666 = r8664 + r8665;
        double r8667 = sqrt(r8666);
        double r8668 = r8660 / r8667;
        double r8669 = th;
        double r8670 = sin(r8669);
        double r8671 = r8668 * r8670;
        return r8671;
}


double f_of(float kx, float ky, float th) {
        float r8672 = th;
        float r8673 = sin(r8672);
        float r8674 = ky;
        float r8675 = sin(r8674);
        float r8676 = kx;
        float r8677 = sin(r8676);
        float r8678 = hypot(r8675, r8677);
        float r8679 = r8678 / r8675;
        float r8680 = r8673 / r8679;
        return r8680;
}

double f_od(double kx, double ky, double th) {
        double r8681 = th;
        double r8682 = sin(r8681);
        double r8683 = ky;
        double r8684 = sin(r8683);
        double r8685 = kx;
        double r8686 = sin(r8685);
        double r8687 = hypot(r8684, r8686);
        double r8688 = r8687 / r8684;
        double r8689 = r8682 / r8688;
        return r8689;
}

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 r8690, r8691, r8692, r8693, r8694, r8695, r8696, r8697, r8698, r8699, r8700, r8701, r8702;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r8690);
        mpfr_init(r8691);
        mpfr_init(r8692);
        mpfr_init(r8693);
        mpfr_init_set_str(r8694, "2", 10, MPFR_RNDN);
        mpfr_init(r8695);
        mpfr_init(r8696);
        mpfr_init(r8697);
        mpfr_init(r8698);
        mpfr_init(r8699);
        mpfr_init(r8700);
        mpfr_init(r8701);
        mpfr_init(r8702);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r8690, ky, MPFR_RNDN);
        mpfr_sin(r8691, r8690, MPFR_RNDN);
        mpfr_set_d(r8692, kx, MPFR_RNDN);
        mpfr_sin(r8693, r8692, MPFR_RNDN);
        ;
        mpfr_pow(r8695, r8693, r8694, MPFR_RNDN);
        mpfr_pow(r8696, r8691, r8694, MPFR_RNDN);
        mpfr_add(r8697, r8695, r8696, MPFR_RNDN);
        mpfr_sqrt(r8698, r8697, MPFR_RNDN);
        mpfr_div(r8699, r8691, r8698, MPFR_RNDN);
        mpfr_set_d(r8700, th, MPFR_RNDN);
        mpfr_sin(r8701, r8700, MPFR_RNDN);
        mpfr_mul(r8702, r8699, r8701, MPFR_RNDN);
        return mpfr_get_d(r8702, MPFR_RNDN);
}

static mpfr_t r8703, r8704, r8705, r8706, r8707, r8708, r8709, r8710, r8711;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8703);
        mpfr_init(r8704);
        mpfr_init(r8705);
        mpfr_init(r8706);
        mpfr_init(r8707);
        mpfr_init(r8708);
        mpfr_init(r8709);
        mpfr_init(r8710);
        mpfr_init(r8711);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r8703, th, MPFR_RNDN);
        mpfr_sin(r8704, r8703, MPFR_RNDN);
        mpfr_set_d(r8705, ky, MPFR_RNDN);
        mpfr_sin(r8706, r8705, MPFR_RNDN);
        mpfr_set_d(r8707, kx, MPFR_RNDN);
        mpfr_sin(r8708, r8707, MPFR_RNDN);
        mpfr_hypot(r8709, r8706, r8708, MPFR_RNDN);
        mpfr_div(r8710, r8709, r8706, MPFR_RNDN);
        mpfr_div(r8711, r8704, r8710, MPFR_RNDN);
        return mpfr_get_d(r8711, MPFR_RNDN);
}

static mpfr_t r8712, r8713, r8714, r8715, r8716, r8717, r8718, r8719, r8720;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8712);
        mpfr_init(r8713);
        mpfr_init(r8714);
        mpfr_init(r8715);
        mpfr_init(r8716);
        mpfr_init(r8717);
        mpfr_init(r8718);
        mpfr_init(r8719);
        mpfr_init(r8720);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r8712, th, MPFR_RNDN);
        mpfr_sin(r8713, r8712, MPFR_RNDN);
        mpfr_set_d(r8714, ky, MPFR_RNDN);
        mpfr_sin(r8715, r8714, MPFR_RNDN);
        mpfr_set_d(r8716, kx, MPFR_RNDN);
        mpfr_sin(r8717, r8716, MPFR_RNDN);
        mpfr_hypot(r8718, r8715, r8717, MPFR_RNDN);
        mpfr_div(r8719, r8718, r8715, MPFR_RNDN);
        mpfr_div(r8720, r8713, r8719, MPFR_RNDN);
        return mpfr_get_d(r8720, MPFR_RNDN);
}