#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 r21889 = ky;
        float r21890 = sin(r21889);
        float r21891 = kx;
        float r21892 = sin(r21891);
        float r21893 = 2;
        float r21894 = pow(r21892, r21893);
        float r21895 = pow(r21890, r21893);
        float r21896 = r21894 + r21895;
        float r21897 = sqrt(r21896);
        float r21898 = r21890 / r21897;
        float r21899 = th;
        float r21900 = sin(r21899);
        float r21901 = r21898 * r21900;
        return r21901;
}

double f_id(double kx, double ky, double th) {
        double r21902 = ky;
        double r21903 = sin(r21902);
        double r21904 = kx;
        double r21905 = sin(r21904);
        double r21906 = 2;
        double r21907 = pow(r21905, r21906);
        double r21908 = pow(r21903, r21906);
        double r21909 = r21907 + r21908;
        double r21910 = sqrt(r21909);
        double r21911 = r21903 / r21910;
        double r21912 = th;
        double r21913 = sin(r21912);
        double r21914 = r21911 * r21913;
        return r21914;
}


double f_of(float kx, float ky, float th) {
        float r21915 = ky;
        float r21916 = sin(r21915);
        float r21917 = 1;
        float r21918 = kx;
        float r21919 = sin(r21918);
        float r21920 = 2;
        float r21921 = pow(r21919, r21920);
        float r21922 = pow(r21916, r21920);
        float r21923 = r21921 + r21922;
        float r21924 = sqrt(r21923);
        float r21925 = r21917 / r21924;
        float r21926 = r21916 * r21925;
        float r21927 = th;
        float r21928 = sin(r21927);
        float r21929 = r21926 * r21928;
        return r21929;
}

double f_od(double kx, double ky, double th) {
        double r21930 = ky;
        double r21931 = sin(r21930);
        double r21932 = 1;
        double r21933 = kx;
        double r21934 = sin(r21933);
        double r21935 = 2;
        double r21936 = pow(r21934, r21935);
        double r21937 = pow(r21931, r21935);
        double r21938 = r21936 + r21937;
        double r21939 = sqrt(r21938);
        double r21940 = r21932 / r21939;
        double r21941 = r21931 * r21940;
        double r21942 = th;
        double r21943 = sin(r21942);
        double r21944 = r21941 * r21943;
        return r21944;
}

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 r21945, r21946, r21947, r21948, r21949, r21950, r21951, r21952, r21953, r21954, r21955, r21956, r21957;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r21945);
        mpfr_init(r21946);
        mpfr_init(r21947);
        mpfr_init(r21948);
        mpfr_init_set_str(r21949, "2", 10, MPFR_RNDN);
        mpfr_init(r21950);
        mpfr_init(r21951);
        mpfr_init(r21952);
        mpfr_init(r21953);
        mpfr_init(r21954);
        mpfr_init(r21955);
        mpfr_init(r21956);
        mpfr_init(r21957);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21945, ky, MPFR_RNDN);
        mpfr_sin(r21946, r21945, MPFR_RNDN);
        mpfr_set_d(r21947, kx, MPFR_RNDN);
        mpfr_sin(r21948, r21947, MPFR_RNDN);
        ;
        mpfr_pow(r21950, r21948, r21949, MPFR_RNDN);
        mpfr_pow(r21951, r21946, r21949, MPFR_RNDN);
        mpfr_add(r21952, r21950, r21951, MPFR_RNDN);
        mpfr_sqrt(r21953, r21952, MPFR_RNDN);
        mpfr_div(r21954, r21946, r21953, MPFR_RNDN);
        mpfr_set_d(r21955, th, MPFR_RNDN);
        mpfr_sin(r21956, r21955, MPFR_RNDN);
        mpfr_mul(r21957, r21954, r21956, MPFR_RNDN);
        return mpfr_get_d(r21957, MPFR_RNDN);
}

static mpfr_t r21958, r21959, r21960, r21961, r21962, r21963, r21964, r21965, r21966, r21967, r21968, r21969, r21970, r21971, r21972;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21958);
        mpfr_init(r21959);
        mpfr_init_set_str(r21960, "1", 10, MPFR_RNDN);
        mpfr_init(r21961);
        mpfr_init(r21962);
        mpfr_init_set_str(r21963, "2", 10, MPFR_RNDN);
        mpfr_init(r21964);
        mpfr_init(r21965);
        mpfr_init(r21966);
        mpfr_init(r21967);
        mpfr_init(r21968);
        mpfr_init(r21969);
        mpfr_init(r21970);
        mpfr_init(r21971);
        mpfr_init(r21972);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21958, ky, MPFR_RNDN);
        mpfr_sin(r21959, r21958, MPFR_RNDN);
        ;
        mpfr_set_d(r21961, kx, MPFR_RNDN);
        mpfr_sin(r21962, r21961, MPFR_RNDN);
        ;
        mpfr_pow(r21964, r21962, r21963, MPFR_RNDN);
        mpfr_pow(r21965, r21959, r21963, MPFR_RNDN);
        mpfr_add(r21966, r21964, r21965, MPFR_RNDN);
        mpfr_sqrt(r21967, r21966, MPFR_RNDN);
        mpfr_div(r21968, r21960, r21967, MPFR_RNDN);
        mpfr_mul(r21969, r21959, r21968, MPFR_RNDN);
        mpfr_set_d(r21970, th, MPFR_RNDN);
        mpfr_sin(r21971, r21970, MPFR_RNDN);
        mpfr_mul(r21972, r21969, r21971, MPFR_RNDN);
        return mpfr_get_d(r21972, MPFR_RNDN);
}

static mpfr_t r21973, r21974, r21975, r21976, r21977, r21978, r21979, r21980, r21981, r21982, r21983, r21984, r21985, r21986, r21987;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r21973);
        mpfr_init(r21974);
        mpfr_init_set_str(r21975, "1", 10, MPFR_RNDN);
        mpfr_init(r21976);
        mpfr_init(r21977);
        mpfr_init_set_str(r21978, "2", 10, MPFR_RNDN);
        mpfr_init(r21979);
        mpfr_init(r21980);
        mpfr_init(r21981);
        mpfr_init(r21982);
        mpfr_init(r21983);
        mpfr_init(r21984);
        mpfr_init(r21985);
        mpfr_init(r21986);
        mpfr_init(r21987);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21973, ky, MPFR_RNDN);
        mpfr_sin(r21974, r21973, MPFR_RNDN);
        ;
        mpfr_set_d(r21976, kx, MPFR_RNDN);
        mpfr_sin(r21977, r21976, MPFR_RNDN);
        ;
        mpfr_pow(r21979, r21977, r21978, MPFR_RNDN);
        mpfr_pow(r21980, r21974, r21978, MPFR_RNDN);
        mpfr_add(r21981, r21979, r21980, MPFR_RNDN);
        mpfr_sqrt(r21982, r21981, MPFR_RNDN);
        mpfr_div(r21983, r21975, r21982, MPFR_RNDN);
        mpfr_mul(r21984, r21974, r21983, MPFR_RNDN);
        mpfr_set_d(r21985, th, MPFR_RNDN);
        mpfr_sin(r21986, r21985, MPFR_RNDN);
        mpfr_mul(r21987, r21984, r21986, MPFR_RNDN);
        return mpfr_get_d(r21987, MPFR_RNDN);
}