#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 r22117 = ky;
        float r22118 = sin(r22117);
        float r22119 = kx;
        float r22120 = sin(r22119);
        float r22121 = 2;
        float r22122 = pow(r22120, r22121);
        float r22123 = pow(r22118, r22121);
        float r22124 = r22122 + r22123;
        float r22125 = sqrt(r22124);
        float r22126 = r22118 / r22125;
        float r22127 = th;
        float r22128 = sin(r22127);
        float r22129 = r22126 * r22128;
        return r22129;
}

double f_id(double kx, double ky, double th) {
        double r22130 = ky;
        double r22131 = sin(r22130);
        double r22132 = kx;
        double r22133 = sin(r22132);
        double r22134 = 2;
        double r22135 = pow(r22133, r22134);
        double r22136 = pow(r22131, r22134);
        double r22137 = r22135 + r22136;
        double r22138 = sqrt(r22137);
        double r22139 = r22131 / r22138;
        double r22140 = th;
        double r22141 = sin(r22140);
        double r22142 = r22139 * r22141;
        return r22142;
}


double f_of(float kx, float ky, float th) {
        float r22143 = th;
        float r22144 = sin(r22143);
        float r22145 = ky;
        float r22146 = sin(r22145);
        float r22147 = kx;
        float r22148 = sin(r22147);
        float r22149 = hypot(r22146, r22148);
        float r22150 = r22146 / r22149;
        float r22151 = r22144 * r22150;
        return r22151;
}

double f_od(double kx, double ky, double th) {
        double r22152 = th;
        double r22153 = sin(r22152);
        double r22154 = ky;
        double r22155 = sin(r22154);
        double r22156 = kx;
        double r22157 = sin(r22156);
        double r22158 = hypot(r22155, r22157);
        double r22159 = r22155 / r22158;
        double r22160 = r22153 * r22159;
        return r22160;
}

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 r22161, r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22161);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init_set_str(r22165, "2", 10, MPFR_RNDN);
        mpfr_init(r22166);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22161, ky, MPFR_RNDN);
        mpfr_sin(r22162, r22161, MPFR_RNDN);
        mpfr_set_d(r22163, kx, MPFR_RNDN);
        mpfr_sin(r22164, r22163, MPFR_RNDN);
        ;
        mpfr_pow(r22166, r22164, r22165, MPFR_RNDN);
        mpfr_pow(r22167, r22162, r22165, MPFR_RNDN);
        mpfr_add(r22168, r22166, r22167, MPFR_RNDN);
        mpfr_sqrt(r22169, r22168, MPFR_RNDN);
        mpfr_div(r22170, r22162, r22169, MPFR_RNDN);
        mpfr_set_d(r22171, th, MPFR_RNDN);
        mpfr_sin(r22172, r22171, MPFR_RNDN);
        mpfr_mul(r22173, r22170, r22172, MPFR_RNDN);
        return mpfr_get_d(r22173, MPFR_RNDN);
}

static mpfr_t r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22174, th, MPFR_RNDN);
        mpfr_sin(r22175, r22174, MPFR_RNDN);
        mpfr_set_d(r22176, ky, MPFR_RNDN);
        mpfr_sin(r22177, r22176, MPFR_RNDN);
        mpfr_set_d(r22178, kx, MPFR_RNDN);
        mpfr_sin(r22179, r22178, MPFR_RNDN);
        mpfr_hypot(r22180, r22177, r22179, MPFR_RNDN);
        mpfr_div(r22181, r22177, r22180, MPFR_RNDN);
        mpfr_mul(r22182, r22175, r22181, MPFR_RNDN);
        return mpfr_get_d(r22182, MPFR_RNDN);
}

static mpfr_t r22183, r22184, r22185, r22186, r22187, r22188, r22189, r22190, r22191;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init(r22189);
        mpfr_init(r22190);
        mpfr_init(r22191);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22183, th, MPFR_RNDN);
        mpfr_sin(r22184, r22183, MPFR_RNDN);
        mpfr_set_d(r22185, ky, MPFR_RNDN);
        mpfr_sin(r22186, r22185, MPFR_RNDN);
        mpfr_set_d(r22187, kx, MPFR_RNDN);
        mpfr_sin(r22188, r22187, MPFR_RNDN);
        mpfr_hypot(r22189, r22186, r22188, MPFR_RNDN);
        mpfr_div(r22190, r22186, r22189, MPFR_RNDN);
        mpfr_mul(r22191, r22184, r22190, MPFR_RNDN);
        return mpfr_get_d(r22191, MPFR_RNDN);
}