#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 r8588 = ky;
        float r8589 = sin(r8588);
        float r8590 = kx;
        float r8591 = sin(r8590);
        float r8592 = 2;
        float r8593 = pow(r8591, r8592);
        float r8594 = pow(r8589, r8592);
        float r8595 = r8593 + r8594;
        float r8596 = sqrt(r8595);
        float r8597 = r8589 / r8596;
        float r8598 = th;
        float r8599 = sin(r8598);
        float r8600 = r8597 * r8599;
        return r8600;
}

double f_id(double kx, double ky, double th) {
        double r8601 = ky;
        double r8602 = sin(r8601);
        double r8603 = kx;
        double r8604 = sin(r8603);
        double r8605 = 2;
        double r8606 = pow(r8604, r8605);
        double r8607 = pow(r8602, r8605);
        double r8608 = r8606 + r8607;
        double r8609 = sqrt(r8608);
        double r8610 = r8602 / r8609;
        double r8611 = th;
        double r8612 = sin(r8611);
        double r8613 = r8610 * r8612;
        return r8613;
}


double f_of(float kx, float ky, float th) {
        float r8614 = th;
        float r8615 = sin(r8614);
        float r8616 = kx;
        float r8617 = sin(r8616);
        float r8618 = ky;
        float r8619 = sin(r8618);
        float r8620 = hypot(r8617, r8619);
        float r8621 = r8620 / r8619;
        float r8622 = r8615 / r8621;
        return r8622;
}

double f_od(double kx, double ky, double th) {
        double r8623 = th;
        double r8624 = sin(r8623);
        double r8625 = kx;
        double r8626 = sin(r8625);
        double r8627 = ky;
        double r8628 = sin(r8627);
        double r8629 = hypot(r8626, r8628);
        double r8630 = r8629 / r8628;
        double r8631 = r8624 / r8630;
        return r8631;
}

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 r8632, r8633, r8634, r8635, r8636, r8637, r8638, r8639, r8640, r8641, r8642, r8643, r8644;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init(r8632);
        mpfr_init(r8633);
        mpfr_init(r8634);
        mpfr_init(r8635);
        mpfr_init_set_str(r8636, "2", 10, MPFR_RNDN);
        mpfr_init(r8637);
        mpfr_init(r8638);
        mpfr_init(r8639);
        mpfr_init(r8640);
        mpfr_init(r8641);
        mpfr_init(r8642);
        mpfr_init(r8643);
        mpfr_init(r8644);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r8632, ky, MPFR_RNDN);
        mpfr_sin(r8633, r8632, MPFR_RNDN);
        mpfr_set_d(r8634, kx, MPFR_RNDN);
        mpfr_sin(r8635, r8634, MPFR_RNDN);
        ;
        mpfr_pow(r8637, r8635, r8636, MPFR_RNDN);
        mpfr_pow(r8638, r8633, r8636, MPFR_RNDN);
        mpfr_add(r8639, r8637, r8638, MPFR_RNDN);
        mpfr_sqrt(r8640, r8639, MPFR_RNDN);
        mpfr_div(r8641, r8633, r8640, MPFR_RNDN);
        mpfr_set_d(r8642, th, MPFR_RNDN);
        mpfr_sin(r8643, r8642, MPFR_RNDN);
        mpfr_mul(r8644, r8641, r8643, MPFR_RNDN);
        return mpfr_get_d(r8644, MPFR_RNDN);
}

static mpfr_t r8645, r8646, r8647, r8648, r8649, r8650, r8651, r8652, r8653;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init(r8645);
        mpfr_init(r8646);
        mpfr_init(r8647);
        mpfr_init(r8648);
        mpfr_init(r8649);
        mpfr_init(r8650);
        mpfr_init(r8651);
        mpfr_init(r8652);
        mpfr_init(r8653);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r8645, th, MPFR_RNDN);
        mpfr_sin(r8646, r8645, MPFR_RNDN);
        mpfr_set_d(r8647, kx, MPFR_RNDN);
        mpfr_sin(r8648, r8647, MPFR_RNDN);
        mpfr_set_d(r8649, ky, MPFR_RNDN);
        mpfr_sin(r8650, r8649, MPFR_RNDN);
        mpfr_hypot(r8651, r8648, r8650, MPFR_RNDN);
        mpfr_div(r8652, r8651, r8650, MPFR_RNDN);
        mpfr_div(r8653, r8646, r8652, MPFR_RNDN);
        return mpfr_get_d(r8653, MPFR_RNDN);
}

static mpfr_t r8654, r8655, r8656, r8657, r8658, r8659, r8660, r8661, r8662;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init(r8654);
        mpfr_init(r8655);
        mpfr_init(r8656);
        mpfr_init(r8657);
        mpfr_init(r8658);
        mpfr_init(r8659);
        mpfr_init(r8660);
        mpfr_init(r8661);
        mpfr_init(r8662);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r8654, th, MPFR_RNDN);
        mpfr_sin(r8655, r8654, MPFR_RNDN);
        mpfr_set_d(r8656, kx, MPFR_RNDN);
        mpfr_sin(r8657, r8656, MPFR_RNDN);
        mpfr_set_d(r8658, ky, MPFR_RNDN);
        mpfr_sin(r8659, r8658, MPFR_RNDN);
        mpfr_hypot(r8660, r8657, r8659, MPFR_RNDN);
        mpfr_div(r8661, r8660, r8659, MPFR_RNDN);
        mpfr_div(r8662, r8655, r8661, MPFR_RNDN);
        return mpfr_get_d(r8662, MPFR_RNDN);
}

