#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 r20918 = ky;
        float r20919 = sin(r20918);
        float r20920 = kx;
        float r20921 = sin(r20920);
        float r20922 = 2;
        float r20923 = pow(r20921, r20922);
        float r20924 = pow(r20919, r20922);
        float r20925 = r20923 + r20924;
        float r20926 = sqrt(r20925);
        float r20927 = r20919 / r20926;
        float r20928 = th;
        float r20929 = sin(r20928);
        float r20930 = r20927 * r20929;
        return r20930;
}

double f_id(double kx, double ky, double th) {
        double r20931 = ky;
        double r20932 = sin(r20931);
        double r20933 = kx;
        double r20934 = sin(r20933);
        double r20935 = 2;
        double r20936 = pow(r20934, r20935);
        double r20937 = pow(r20932, r20935);
        double r20938 = r20936 + r20937;
        double r20939 = sqrt(r20938);
        double r20940 = r20932 / r20939;
        double r20941 = th;
        double r20942 = sin(r20941);
        double r20943 = r20940 * r20942;
        return r20943;
}


double f_of(float kx, float ky, float th) {
        float r20944 = th;
        float r20945 = sin(r20944);
        float r20946 = ky;
        float r20947 = sin(r20946);
        float r20948 = kx;
        float r20949 = sin(r20948);
        float r20950 = hypot(r20947, r20949);
        float r20951 = r20950 / r20947;
        float r20952 = r20945 / r20951;
        return r20952;
}

double f_od(double kx, double ky, double th) {
        double r20953 = th;
        double r20954 = sin(r20953);
        double r20955 = ky;
        double r20956 = sin(r20955);
        double r20957 = kx;
        double r20958 = sin(r20957);
        double r20959 = hypot(r20956, r20958);
        double r20960 = r20959 / r20956;
        double r20961 = r20954 / r20960;
        return r20961;
}

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 r20962, r20963, r20964, r20965, r20966, r20967, r20968, r20969, r20970, r20971, r20972, r20973, r20974;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r20962);
        mpfr_init(r20963);
        mpfr_init(r20964);
        mpfr_init(r20965);
        mpfr_init_set_str(r20966, "2", 10, MPFR_RNDN);
        mpfr_init(r20967);
        mpfr_init(r20968);
        mpfr_init(r20969);
        mpfr_init(r20970);
        mpfr_init(r20971);
        mpfr_init(r20972);
        mpfr_init(r20973);
        mpfr_init(r20974);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r20962, ky, MPFR_RNDN);
        mpfr_sin(r20963, r20962, MPFR_RNDN);
        mpfr_set_d(r20964, kx, MPFR_RNDN);
        mpfr_sin(r20965, r20964, MPFR_RNDN);
        ;
        mpfr_pow(r20967, r20965, r20966, MPFR_RNDN);
        mpfr_pow(r20968, r20963, r20966, MPFR_RNDN);
        mpfr_add(r20969, r20967, r20968, MPFR_RNDN);
        mpfr_sqrt(r20970, r20969, MPFR_RNDN);
        mpfr_div(r20971, r20963, r20970, MPFR_RNDN);
        mpfr_set_d(r20972, th, MPFR_RNDN);
        mpfr_sin(r20973, r20972, MPFR_RNDN);
        mpfr_mul(r20974, r20971, r20973, MPFR_RNDN);
        return mpfr_get_d(r20974, MPFR_RNDN);
}

static mpfr_t r20975, r20976, r20977, r20978, r20979, r20980, r20981, r20982, r20983;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20975);
        mpfr_init(r20976);
        mpfr_init(r20977);
        mpfr_init(r20978);
        mpfr_init(r20979);
        mpfr_init(r20980);
        mpfr_init(r20981);
        mpfr_init(r20982);
        mpfr_init(r20983);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r20975, th, MPFR_RNDN);
        mpfr_sin(r20976, r20975, MPFR_RNDN);
        mpfr_set_d(r20977, ky, MPFR_RNDN);
        mpfr_sin(r20978, r20977, MPFR_RNDN);
        mpfr_set_d(r20979, kx, MPFR_RNDN);
        mpfr_sin(r20980, r20979, MPFR_RNDN);
        mpfr_hypot(r20981, r20978, r20980, MPFR_RNDN);
        mpfr_div(r20982, r20981, r20978, MPFR_RNDN);
        mpfr_div(r20983, r20976, r20982, MPFR_RNDN);
        return mpfr_get_d(r20983, MPFR_RNDN);
}

static mpfr_t r20984, r20985, r20986, r20987, r20988, r20989, r20990, r20991, r20992;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r20984);
        mpfr_init(r20985);
        mpfr_init(r20986);
        mpfr_init(r20987);
        mpfr_init(r20988);
        mpfr_init(r20989);
        mpfr_init(r20990);
        mpfr_init(r20991);
        mpfr_init(r20992);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r20984, th, MPFR_RNDN);
        mpfr_sin(r20985, r20984, MPFR_RNDN);
        mpfr_set_d(r20986, ky, MPFR_RNDN);
        mpfr_sin(r20987, r20986, MPFR_RNDN);
        mpfr_set_d(r20988, kx, MPFR_RNDN);
        mpfr_sin(r20989, r20988, MPFR_RNDN);
        mpfr_hypot(r20990, r20987, r20989, MPFR_RNDN);
        mpfr_div(r20991, r20990, r20987, MPFR_RNDN);
        mpfr_div(r20992, r20985, r20991, MPFR_RNDN);
        return mpfr_get_d(r20992, MPFR_RNDN);
}