#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 r22073 = ky;
        float r22074 = sin(r22073);
        float r22075 = kx;
        float r22076 = sin(r22075);
        float r22077 = 2;
        float r22078 = pow(r22076, r22077);
        float r22079 = pow(r22074, r22077);
        float r22080 = r22078 + r22079;
        float r22081 = sqrt(r22080);
        float r22082 = r22074 / r22081;
        float r22083 = th;
        float r22084 = sin(r22083);
        float r22085 = r22082 * r22084;
        return r22085;
}

double f_id(double kx, double ky, double th) {
        double r22086 = ky;
        double r22087 = sin(r22086);
        double r22088 = kx;
        double r22089 = sin(r22088);
        double r22090 = 2;
        double r22091 = pow(r22089, r22090);
        double r22092 = pow(r22087, r22090);
        double r22093 = r22091 + r22092;
        double r22094 = sqrt(r22093);
        double r22095 = r22087 / r22094;
        double r22096 = th;
        double r22097 = sin(r22096);
        double r22098 = r22095 * r22097;
        return r22098;
}


double f_of(float kx, float ky, float th) {
        float r22099 = ky;
        float r22100 = sin(r22099);
        float r22101 = 1;
        float r22102 = kx;
        float r22103 = sin(r22102);
        float r22104 = 2;
        float r22105 = pow(r22103, r22104);
        float r22106 = pow(r22100, r22104);
        float r22107 = r22105 + r22106;
        float r22108 = sqrt(r22107);
        float r22109 = r22101 / r22108;
        float r22110 = r22100 * r22109;
        float r22111 = th;
        float r22112 = sin(r22111);
        float r22113 = r22110 * r22112;
        return r22113;
}

double f_od(double kx, double ky, double th) {
        double r22114 = ky;
        double r22115 = sin(r22114);
        double r22116 = 1;
        double r22117 = kx;
        double r22118 = sin(r22117);
        double r22119 = 2;
        double r22120 = pow(r22118, r22119);
        double r22121 = pow(r22115, r22119);
        double r22122 = r22120 + r22121;
        double r22123 = sqrt(r22122);
        double r22124 = r22116 / r22123;
        double r22125 = r22115 * r22124;
        double r22126 = th;
        double r22127 = sin(r22126);
        double r22128 = r22125 * r22127;
        return r22128;
}

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 r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22129);
        mpfr_init(r22130);
        mpfr_init(r22131);
        mpfr_init(r22132);
        mpfr_init_set_str(r22133, "2", 10, MPFR_RNDN);
        mpfr_init(r22134);
        mpfr_init(r22135);
        mpfr_init(r22136);
        mpfr_init(r22137);
        mpfr_init(r22138);
        mpfr_init(r22139);
        mpfr_init(r22140);
        mpfr_init(r22141);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22129, ky, MPFR_RNDN);
        mpfr_sin(r22130, r22129, MPFR_RNDN);
        mpfr_set_d(r22131, kx, MPFR_RNDN);
        mpfr_sin(r22132, r22131, MPFR_RNDN);
        ;
        mpfr_pow(r22134, r22132, r22133, MPFR_RNDN);
        mpfr_pow(r22135, r22130, r22133, MPFR_RNDN);
        mpfr_add(r22136, r22134, r22135, MPFR_RNDN);
        mpfr_sqrt(r22137, r22136, MPFR_RNDN);
        mpfr_div(r22138, r22130, r22137, MPFR_RNDN);
        mpfr_set_d(r22139, th, MPFR_RNDN);
        mpfr_sin(r22140, r22139, MPFR_RNDN);
        mpfr_mul(r22141, r22138, r22140, MPFR_RNDN);
        return mpfr_get_d(r22141, MPFR_RNDN);
}

static mpfr_t r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155, r22156;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init_set_str(r22144, "1", 10, MPFR_RNDN);
        mpfr_init(r22145);
        mpfr_init(r22146);
        mpfr_init_set_str(r22147, "2", 10, MPFR_RNDN);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init(r22154);
        mpfr_init(r22155);
        mpfr_init(r22156);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22142, ky, MPFR_RNDN);
        mpfr_sin(r22143, r22142, MPFR_RNDN);
        ;
        mpfr_set_d(r22145, kx, MPFR_RNDN);
        mpfr_sin(r22146, r22145, MPFR_RNDN);
        ;
        mpfr_pow(r22148, r22146, r22147, MPFR_RNDN);
        mpfr_pow(r22149, r22143, r22147, MPFR_RNDN);
        mpfr_add(r22150, r22148, r22149, MPFR_RNDN);
        mpfr_sqrt(r22151, r22150, MPFR_RNDN);
        mpfr_div(r22152, r22144, r22151, MPFR_RNDN);
        mpfr_mul(r22153, r22143, r22152, MPFR_RNDN);
        mpfr_set_d(r22154, th, MPFR_RNDN);
        mpfr_sin(r22155, r22154, MPFR_RNDN);
        mpfr_mul(r22156, r22153, r22155, MPFR_RNDN);
        return mpfr_get_d(r22156, MPFR_RNDN);
}

static mpfr_t r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init_set_str(r22159, "1", 10, MPFR_RNDN);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init_set_str(r22162, "2", 10, MPFR_RNDN);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22157, ky, MPFR_RNDN);
        mpfr_sin(r22158, r22157, MPFR_RNDN);
        ;
        mpfr_set_d(r22160, kx, MPFR_RNDN);
        mpfr_sin(r22161, r22160, MPFR_RNDN);
        ;
        mpfr_pow(r22163, r22161, r22162, MPFR_RNDN);
        mpfr_pow(r22164, r22158, r22162, MPFR_RNDN);
        mpfr_add(r22165, r22163, r22164, MPFR_RNDN);
        mpfr_sqrt(r22166, r22165, MPFR_RNDN);
        mpfr_div(r22167, r22159, r22166, MPFR_RNDN);
        mpfr_mul(r22168, r22158, r22167, MPFR_RNDN);
        mpfr_set_d(r22169, th, MPFR_RNDN);
        mpfr_sin(r22170, r22169, MPFR_RNDN);
        mpfr_mul(r22171, r22168, r22170, MPFR_RNDN);
        return mpfr_get_d(r22171, MPFR_RNDN);
}