#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 r22529 = ky;
        float r22530 = sin(r22529);
        float r22531 = kx;
        float r22532 = sin(r22531);
        float r22533 = 2;
        float r22534 = pow(r22532, r22533);
        float r22535 = pow(r22530, r22533);
        float r22536 = r22534 + r22535;
        float r22537 = sqrt(r22536);
        float r22538 = r22530 / r22537;
        float r22539 = th;
        float r22540 = sin(r22539);
        float r22541 = r22538 * r22540;
        return r22541;
}

double f_id(double kx, double ky, double th) {
        double r22542 = ky;
        double r22543 = sin(r22542);
        double r22544 = kx;
        double r22545 = sin(r22544);
        double r22546 = 2;
        double r22547 = pow(r22545, r22546);
        double r22548 = pow(r22543, r22546);
        double r22549 = r22547 + r22548;
        double r22550 = sqrt(r22549);
        double r22551 = r22543 / r22550;
        double r22552 = th;
        double r22553 = sin(r22552);
        double r22554 = r22551 * r22553;
        return r22554;
}


double f_of(float kx, float ky, float th) {
        float r22555 = th;
        float r22556 = sin(r22555);
        float r22557 = ky;
        float r22558 = sin(r22557);
        float r22559 = kx;
        float r22560 = sin(r22559);
        float r22561 = hypot(r22558, r22560);
        float r22562 = r22561 / r22558;
        float r22563 = r22556 / r22562;
        return r22563;
}

double f_od(double kx, double ky, double th) {
        double r22564 = th;
        double r22565 = sin(r22564);
        double r22566 = ky;
        double r22567 = sin(r22566);
        double r22568 = kx;
        double r22569 = sin(r22568);
        double r22570 = hypot(r22567, r22569);
        double r22571 = r22570 / r22567;
        double r22572 = r22565 / r22571;
        return r22572;
}

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 r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581, r22582, r22583, r22584, r22585;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22573);
        mpfr_init(r22574);
        mpfr_init(r22575);
        mpfr_init(r22576);
        mpfr_init_set_str(r22577, "2", 10, MPFR_RNDN);
        mpfr_init(r22578);
        mpfr_init(r22579);
        mpfr_init(r22580);
        mpfr_init(r22581);
        mpfr_init(r22582);
        mpfr_init(r22583);
        mpfr_init(r22584);
        mpfr_init(r22585);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22573, ky, MPFR_RNDN);
        mpfr_sin(r22574, r22573, MPFR_RNDN);
        mpfr_set_d(r22575, kx, MPFR_RNDN);
        mpfr_sin(r22576, r22575, MPFR_RNDN);
        ;
        mpfr_pow(r22578, r22576, r22577, MPFR_RNDN);
        mpfr_pow(r22579, r22574, r22577, MPFR_RNDN);
        mpfr_add(r22580, r22578, r22579, MPFR_RNDN);
        mpfr_sqrt(r22581, r22580, MPFR_RNDN);
        mpfr_div(r22582, r22574, r22581, MPFR_RNDN);
        mpfr_set_d(r22583, th, MPFR_RNDN);
        mpfr_sin(r22584, r22583, MPFR_RNDN);
        mpfr_mul(r22585, r22582, r22584, MPFR_RNDN);
        return mpfr_get_d(r22585, MPFR_RNDN);
}

static mpfr_t r22586, r22587, r22588, r22589, r22590, r22591, r22592, r22593, r22594;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22586);
        mpfr_init(r22587);
        mpfr_init(r22588);
        mpfr_init(r22589);
        mpfr_init(r22590);
        mpfr_init(r22591);
        mpfr_init(r22592);
        mpfr_init(r22593);
        mpfr_init(r22594);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22586, th, MPFR_RNDN);
        mpfr_sin(r22587, r22586, MPFR_RNDN);
        mpfr_set_d(r22588, ky, MPFR_RNDN);
        mpfr_sin(r22589, r22588, MPFR_RNDN);
        mpfr_set_d(r22590, kx, MPFR_RNDN);
        mpfr_sin(r22591, r22590, MPFR_RNDN);
        mpfr_hypot(r22592, r22589, r22591, MPFR_RNDN);
        mpfr_div(r22593, r22592, r22589, MPFR_RNDN);
        mpfr_div(r22594, r22587, r22593, MPFR_RNDN);
        return mpfr_get_d(r22594, MPFR_RNDN);
}

static mpfr_t r22595, r22596, r22597, r22598, r22599, r22600, r22601, r22602, r22603;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22595);
        mpfr_init(r22596);
        mpfr_init(r22597);
        mpfr_init(r22598);
        mpfr_init(r22599);
        mpfr_init(r22600);
        mpfr_init(r22601);
        mpfr_init(r22602);
        mpfr_init(r22603);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22595, th, MPFR_RNDN);
        mpfr_sin(r22596, r22595, MPFR_RNDN);
        mpfr_set_d(r22597, ky, MPFR_RNDN);
        mpfr_sin(r22598, r22597, MPFR_RNDN);
        mpfr_set_d(r22599, kx, MPFR_RNDN);
        mpfr_sin(r22600, r22599, MPFR_RNDN);
        mpfr_hypot(r22601, r22598, r22600, MPFR_RNDN);
        mpfr_div(r22602, r22601, r22598, MPFR_RNDN);
        mpfr_div(r22603, r22596, r22602, MPFR_RNDN);
        return mpfr_get_d(r22603, MPFR_RNDN);
}