#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 r22061 = ky;
        float r22062 = sin(r22061);
        float r22063 = kx;
        float r22064 = sin(r22063);
        float r22065 = 2;
        float r22066 = pow(r22064, r22065);
        float r22067 = pow(r22062, r22065);
        float r22068 = r22066 + r22067;
        float r22069 = sqrt(r22068);
        float r22070 = r22062 / r22069;
        float r22071 = th;
        float r22072 = sin(r22071);
        float r22073 = r22070 * r22072;
        return r22073;
}

double f_id(double kx, double ky, double th) {
        double r22074 = ky;
        double r22075 = sin(r22074);
        double r22076 = kx;
        double r22077 = sin(r22076);
        double r22078 = 2;
        double r22079 = pow(r22077, r22078);
        double r22080 = pow(r22075, r22078);
        double r22081 = r22079 + r22080;
        double r22082 = sqrt(r22081);
        double r22083 = r22075 / r22082;
        double r22084 = th;
        double r22085 = sin(r22084);
        double r22086 = r22083 * r22085;
        return r22086;
}


double f_of(float kx, float ky, float th) {
        float r22087 = ky;
        float r22088 = sin(r22087);
        float r22089 = kx;
        float r22090 = sin(r22089);
        float r22091 = 2;
        float r22092 = pow(r22090, r22091);
        float r22093 = cbrt(r22092);
        float r22094 = r22093 * r22093;
        float r22095 = r22094 * r22093;
        float r22096 = pow(r22088, r22091);
        float r22097 = r22095 + r22096;
        float r22098 = sqrt(r22097);
        float r22099 = r22088 / r22098;
        float r22100 = th;
        float r22101 = sin(r22100);
        float r22102 = r22099 * r22101;
        return r22102;
}

double f_od(double kx, double ky, double th) {
        double r22103 = ky;
        double r22104 = sin(r22103);
        double r22105 = kx;
        double r22106 = sin(r22105);
        double r22107 = 2;
        double r22108 = pow(r22106, r22107);
        double r22109 = cbrt(r22108);
        double r22110 = r22109 * r22109;
        double r22111 = r22110 * r22109;
        double r22112 = pow(r22104, r22107);
        double r22113 = r22111 + r22112;
        double r22114 = sqrt(r22113);
        double r22115 = r22104 / r22114;
        double r22116 = th;
        double r22117 = sin(r22116);
        double r22118 = r22115 * r22117;
        return r22118;
}

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 r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128, r22129, r22130, r22131;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22119);
        mpfr_init(r22120);
        mpfr_init(r22121);
        mpfr_init(r22122);
        mpfr_init_set_str(r22123, "2", 10, MPFR_RNDN);
        mpfr_init(r22124);
        mpfr_init(r22125);
        mpfr_init(r22126);
        mpfr_init(r22127);
        mpfr_init(r22128);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22119, ky, MPFR_RNDN);
        mpfr_sin(r22120, r22119, MPFR_RNDN);
        mpfr_set_d(r22121, kx, MPFR_RNDN);
        mpfr_sin(r22122, r22121, MPFR_RNDN);
        ;
        mpfr_pow(r22124, r22122, r22123, MPFR_RNDN);
        mpfr_pow(r22125, r22120, r22123, MPFR_RNDN);
        mpfr_add(r22126, r22124, r22125, MPFR_RNDN);
        mpfr_sqrt(r22127, r22126, MPFR_RNDN);
        mpfr_div(r22128, r22120, r22127, MPFR_RNDN);
        mpfr_set_d(r22129, th, MPFR_RNDN);
        mpfr_sin(r22130, r22129, MPFR_RNDN);
        mpfr_mul(r22131, r22128, r22130, MPFR_RNDN);
        return mpfr_get_d(r22131, MPFR_RNDN);
}

static mpfr_t r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22132);
        mpfr_init(r22133);
        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);
        mpfr_init(r22146);
        mpfr_init(r22147);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22132, ky, MPFR_RNDN);
        mpfr_sin(r22133, r22132, MPFR_RNDN);
        mpfr_set_d(r22134, kx, MPFR_RNDN);
        mpfr_sin(r22135, r22134, MPFR_RNDN);
        ;
        mpfr_pow(r22137, r22135, r22136, MPFR_RNDN);
        mpfr_cbrt(r22138, r22137, MPFR_RNDN);
        mpfr_mul(r22139, r22138, r22138, MPFR_RNDN);
        mpfr_mul(r22140, r22139, r22138, MPFR_RNDN);
        mpfr_pow(r22141, r22133, r22136, MPFR_RNDN);
        mpfr_add(r22142, r22140, r22141, MPFR_RNDN);
        mpfr_sqrt(r22143, r22142, MPFR_RNDN);
        mpfr_div(r22144, r22133, r22143, MPFR_RNDN);
        mpfr_set_d(r22145, th, MPFR_RNDN);
        mpfr_sin(r22146, r22145, MPFR_RNDN);
        mpfr_mul(r22147, r22144, r22146, MPFR_RNDN);
        return mpfr_get_d(r22147, MPFR_RNDN);
}

static mpfr_t r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init_set_str(r22152, "2", 10, MPFR_RNDN);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22148, ky, MPFR_RNDN);
        mpfr_sin(r22149, r22148, MPFR_RNDN);
        mpfr_set_d(r22150, kx, MPFR_RNDN);
        mpfr_sin(r22151, r22150, MPFR_RNDN);
        ;
        mpfr_pow(r22153, r22151, r22152, MPFR_RNDN);
        mpfr_cbrt(r22154, r22153, MPFR_RNDN);
        mpfr_mul(r22155, r22154, r22154, MPFR_RNDN);
        mpfr_mul(r22156, r22155, r22154, MPFR_RNDN);
        mpfr_pow(r22157, r22149, r22152, MPFR_RNDN);
        mpfr_add(r22158, r22156, r22157, MPFR_RNDN);
        mpfr_sqrt(r22159, r22158, MPFR_RNDN);
        mpfr_div(r22160, r22149, r22159, MPFR_RNDN);
        mpfr_set_d(r22161, th, MPFR_RNDN);
        mpfr_sin(r22162, r22161, MPFR_RNDN);
        mpfr_mul(r22163, r22160, r22162, MPFR_RNDN);
        return mpfr_get_d(r22163, MPFR_RNDN);
}

