#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 r22042 = ky;
        float r22043 = sin(r22042);
        float r22044 = kx;
        float r22045 = sin(r22044);
        float r22046 = 2;
        float r22047 = pow(r22045, r22046);
        float r22048 = pow(r22043, r22046);
        float r22049 = r22047 + r22048;
        float r22050 = sqrt(r22049);
        float r22051 = r22043 / r22050;
        float r22052 = th;
        float r22053 = sin(r22052);
        float r22054 = r22051 * r22053;
        return r22054;
}

double f_id(double kx, double ky, double th) {
        double r22055 = ky;
        double r22056 = sin(r22055);
        double r22057 = kx;
        double r22058 = sin(r22057);
        double r22059 = 2;
        double r22060 = pow(r22058, r22059);
        double r22061 = pow(r22056, r22059);
        double r22062 = r22060 + r22061;
        double r22063 = sqrt(r22062);
        double r22064 = r22056 / r22063;
        double r22065 = th;
        double r22066 = sin(r22065);
        double r22067 = r22064 * r22066;
        return r22067;
}


double f_of(float kx, float ky, float th) {
        float r22068 = th;
        float r22069 = sin(r22068);
        float r22070 = 1;
        float r22071 = r22069 / r22070;
        float r22072 = ky;
        float r22073 = sin(r22072);
        float r22074 = kx;
        float r22075 = sin(r22074);
        float r22076 = hypot(r22073, r22075);
        float r22077 = r22073 / r22076;
        float r22078 = r22071 * r22077;
        return r22078;
}

double f_od(double kx, double ky, double th) {
        double r22079 = th;
        double r22080 = sin(r22079);
        double r22081 = 1;
        double r22082 = r22080 / r22081;
        double r22083 = ky;
        double r22084 = sin(r22083);
        double r22085 = kx;
        double r22086 = sin(r22085);
        double r22087 = hypot(r22084, r22086);
        double r22088 = r22084 / r22087;
        double r22089 = r22082 * r22088;
        return r22089;
}

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 r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101, r22102;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22090);
        mpfr_init(r22091);
        mpfr_init(r22092);
        mpfr_init(r22093);
        mpfr_init_set_str(r22094, "2", 10, MPFR_RNDN);
        mpfr_init(r22095);
        mpfr_init(r22096);
        mpfr_init(r22097);
        mpfr_init(r22098);
        mpfr_init(r22099);
        mpfr_init(r22100);
        mpfr_init(r22101);
        mpfr_init(r22102);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22090, ky, MPFR_RNDN);
        mpfr_sin(r22091, r22090, MPFR_RNDN);
        mpfr_set_d(r22092, kx, MPFR_RNDN);
        mpfr_sin(r22093, r22092, MPFR_RNDN);
        ;
        mpfr_pow(r22095, r22093, r22094, MPFR_RNDN);
        mpfr_pow(r22096, r22091, r22094, MPFR_RNDN);
        mpfr_add(r22097, r22095, r22096, MPFR_RNDN);
        mpfr_sqrt(r22098, r22097, MPFR_RNDN);
        mpfr_div(r22099, r22091, r22098, MPFR_RNDN);
        mpfr_set_d(r22100, th, MPFR_RNDN);
        mpfr_sin(r22101, r22100, MPFR_RNDN);
        mpfr_mul(r22102, r22099, r22101, MPFR_RNDN);
        return mpfr_get_d(r22102, MPFR_RNDN);
}

static mpfr_t r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22103);
        mpfr_init(r22104);
        mpfr_init_set_str(r22105, "1", 10, MPFR_RNDN);
        mpfr_init(r22106);
        mpfr_init(r22107);
        mpfr_init(r22108);
        mpfr_init(r22109);
        mpfr_init(r22110);
        mpfr_init(r22111);
        mpfr_init(r22112);
        mpfr_init(r22113);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22103, th, MPFR_RNDN);
        mpfr_sin(r22104, r22103, MPFR_RNDN);
        ;
        mpfr_div(r22106, r22104, r22105, MPFR_RNDN);
        mpfr_set_d(r22107, ky, MPFR_RNDN);
        mpfr_sin(r22108, r22107, MPFR_RNDN);
        mpfr_set_d(r22109, kx, MPFR_RNDN);
        mpfr_sin(r22110, r22109, MPFR_RNDN);
        mpfr_hypot(r22111, r22108, r22110, MPFR_RNDN);
        mpfr_div(r22112, r22108, r22111, MPFR_RNDN);
        mpfr_mul(r22113, r22106, r22112, MPFR_RNDN);
        return mpfr_get_d(r22113, MPFR_RNDN);
}

static mpfr_t r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22114);
        mpfr_init(r22115);
        mpfr_init_set_str(r22116, "1", 10, MPFR_RNDN);
        mpfr_init(r22117);
        mpfr_init(r22118);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init(r22123);
        mpfr_init(r22124);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22114, th, MPFR_RNDN);
        mpfr_sin(r22115, r22114, MPFR_RNDN);
        ;
        mpfr_div(r22117, r22115, r22116, MPFR_RNDN);
        mpfr_set_d(r22118, ky, MPFR_RNDN);
        mpfr_sin(r22119, r22118, MPFR_RNDN);
        mpfr_set_d(r22120, kx, MPFR_RNDN);
        mpfr_sin(r22121, r22120, MPFR_RNDN);
        mpfr_hypot(r22122, r22119, r22121, MPFR_RNDN);
        mpfr_div(r22123, r22119, r22122, MPFR_RNDN);
        mpfr_mul(r22124, r22117, r22123, MPFR_RNDN);
        return mpfr_get_d(r22124, MPFR_RNDN);
}