#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 r22062 = ky;
        float r22063 = sin(r22062);
        float r22064 = kx;
        float r22065 = sin(r22064);
        float r22066 = 2;
        float r22067 = pow(r22065, r22066);
        float r22068 = pow(r22063, r22066);
        float r22069 = r22067 + r22068;
        float r22070 = sqrt(r22069);
        float r22071 = r22063 / r22070;
        float r22072 = th;
        float r22073 = sin(r22072);
        float r22074 = r22071 * r22073;
        return r22074;
}

double f_id(double kx, double ky, double th) {
        double r22075 = ky;
        double r22076 = sin(r22075);
        double r22077 = kx;
        double r22078 = sin(r22077);
        double r22079 = 2;
        double r22080 = pow(r22078, r22079);
        double r22081 = pow(r22076, r22079);
        double r22082 = r22080 + r22081;
        double r22083 = sqrt(r22082);
        double r22084 = r22076 / r22083;
        double r22085 = th;
        double r22086 = sin(r22085);
        double r22087 = r22084 * r22086;
        return r22087;
}


double f_of(float kx, float ky, float th) {
        float r22088 = ky;
        float r22089 = sin(r22088);
        float r22090 = 1;
        float r22091 = kx;
        float r22092 = sin(r22091);
        float r22093 = 2;
        float r22094 = pow(r22092, r22093);
        float r22095 = pow(r22089, r22093);
        float r22096 = r22094 + r22095;
        float r22097 = sqrt(r22096);
        float r22098 = r22090 / r22097;
        float r22099 = th;
        float r22100 = sin(r22099);
        float r22101 = r22098 * r22100;
        float r22102 = r22089 * r22101;
        return r22102;
}

double f_od(double kx, double ky, double th) {
        double r22103 = ky;
        double r22104 = sin(r22103);
        double r22105 = 1;
        double r22106 = kx;
        double r22107 = sin(r22106);
        double r22108 = 2;
        double r22109 = pow(r22107, r22108);
        double r22110 = pow(r22104, r22108);
        double r22111 = r22109 + r22110;
        double r22112 = sqrt(r22111);
        double r22113 = r22105 / r22112;
        double r22114 = th;
        double r22115 = sin(r22114);
        double r22116 = r22113 * r22115;
        double r22117 = r22104 * r22116;
        return r22117;
}

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 r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22118);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init_set_str(r22122, "2", 10, MPFR_RNDN);
        mpfr_init(r22123);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
}

double f_im(double kx, double ky, double th) {
        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_pow(r22123, r22121, r22122, MPFR_RNDN);
        mpfr_pow(r22124, r22119, r22122, MPFR_RNDN);
        mpfr_add(r22125, r22123, r22124, MPFR_RNDN);
        mpfr_sqrt(r22126, r22125, MPFR_RNDN);
        mpfr_div(r22127, r22119, r22126, MPFR_RNDN);
        mpfr_set_d(r22128, th, MPFR_RNDN);
        mpfr_sin(r22129, r22128, MPFR_RNDN);
        mpfr_mul(r22130, r22127, r22129, MPFR_RNDN);
        return mpfr_get_d(r22130, MPFR_RNDN);
}

static mpfr_t r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init_set_str(r22133, "1", 10, MPFR_RNDN);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init_set_str(r22136, "2", 10, MPFR_RNDN);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
        mpfr_init(r22140);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init(r22145);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22131, ky, MPFR_RNDN);
        mpfr_sin(r22132, r22131, MPFR_RNDN);
        ;
        mpfr_set_d(r22134, kx, MPFR_RNDN);
        mpfr_sin(r22135, r22134, MPFR_RNDN);
        ;
        mpfr_pow(r22137, r22135, r22136, MPFR_RNDN);
        mpfr_pow(r22138, r22132, r22136, MPFR_RNDN);
        mpfr_add(r22139, r22137, r22138, MPFR_RNDN);
        mpfr_sqrt(r22140, r22139, MPFR_RNDN);
        mpfr_div(r22141, r22133, r22140, MPFR_RNDN);
        mpfr_set_d(r22142, th, MPFR_RNDN);
        mpfr_sin(r22143, r22142, MPFR_RNDN);
        mpfr_mul(r22144, r22141, r22143, MPFR_RNDN);
        mpfr_mul(r22145, r22132, r22144, MPFR_RNDN);
        return mpfr_get_d(r22145, MPFR_RNDN);
}

static mpfr_t r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init_set_str(r22148, "1", 10, MPFR_RNDN);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init_set_str(r22151, "2", 10, MPFR_RNDN);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22146, ky, MPFR_RNDN);
        mpfr_sin(r22147, r22146, MPFR_RNDN);
        ;
        mpfr_set_d(r22149, kx, MPFR_RNDN);
        mpfr_sin(r22150, r22149, MPFR_RNDN);
        ;
        mpfr_pow(r22152, r22150, r22151, MPFR_RNDN);
        mpfr_pow(r22153, r22147, r22151, MPFR_RNDN);
        mpfr_add(r22154, r22152, r22153, MPFR_RNDN);
        mpfr_sqrt(r22155, r22154, MPFR_RNDN);
        mpfr_div(r22156, r22148, r22155, MPFR_RNDN);
        mpfr_set_d(r22157, th, MPFR_RNDN);
        mpfr_sin(r22158, r22157, MPFR_RNDN);
        mpfr_mul(r22159, r22156, r22158, MPFR_RNDN);
        mpfr_mul(r22160, r22147, r22159, MPFR_RNDN);
        return mpfr_get_d(r22160, MPFR_RNDN);
}