#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 r22114 = ky;
        float r22115 = sin(r22114);
        float r22116 = kx;
        float r22117 = sin(r22116);
        float r22118 = 2;
        float r22119 = pow(r22117, r22118);
        float r22120 = pow(r22115, r22118);
        float r22121 = r22119 + r22120;
        float r22122 = sqrt(r22121);
        float r22123 = r22115 / r22122;
        float r22124 = th;
        float r22125 = sin(r22124);
        float r22126 = r22123 * r22125;
        return r22126;
}

double f_id(double kx, double ky, double th) {
        double r22127 = ky;
        double r22128 = sin(r22127);
        double r22129 = kx;
        double r22130 = sin(r22129);
        double r22131 = 2;
        double r22132 = pow(r22130, r22131);
        double r22133 = pow(r22128, r22131);
        double r22134 = r22132 + r22133;
        double r22135 = sqrt(r22134);
        double r22136 = r22128 / r22135;
        double r22137 = th;
        double r22138 = sin(r22137);
        double r22139 = r22136 * r22138;
        return r22139;
}


double f_of(float kx, float ky, float th) {
        float r22140 = th;
        float r22141 = sin(r22140);
        float r22142 = 1;
        float r22143 = r22141 / r22142;
        float r22144 = ky;
        float r22145 = sin(r22144);
        float r22146 = kx;
        float r22147 = sin(r22146);
        float r22148 = hypot(r22145, r22147);
        float r22149 = r22145 / r22148;
        float r22150 = r22143 * r22149;
        return r22150;
}

double f_od(double kx, double ky, double th) {
        double r22151 = th;
        double r22152 = sin(r22151);
        double r22153 = 1;
        double r22154 = r22152 / r22153;
        double r22155 = ky;
        double r22156 = sin(r22155);
        double r22157 = kx;
        double r22158 = sin(r22157);
        double r22159 = hypot(r22156, r22158);
        double r22160 = r22156 / r22159;
        double r22161 = r22154 * r22160;
        return r22161;
}

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 r22162, r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22162);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init(r22165);
        mpfr_init_set_str(r22166, "2", 10, MPFR_RNDN);
        mpfr_init(r22167);
        mpfr_init(r22168);
        mpfr_init(r22169);
        mpfr_init(r22170);
        mpfr_init(r22171);
        mpfr_init(r22172);
        mpfr_init(r22173);
        mpfr_init(r22174);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22162, ky, MPFR_RNDN);
        mpfr_sin(r22163, r22162, MPFR_RNDN);
        mpfr_set_d(r22164, kx, MPFR_RNDN);
        mpfr_sin(r22165, r22164, MPFR_RNDN);
        ;
        mpfr_pow(r22167, r22165, r22166, MPFR_RNDN);
        mpfr_pow(r22168, r22163, r22166, MPFR_RNDN);
        mpfr_add(r22169, r22167, r22168, MPFR_RNDN);
        mpfr_sqrt(r22170, r22169, MPFR_RNDN);
        mpfr_div(r22171, r22163, r22170, MPFR_RNDN);
        mpfr_set_d(r22172, th, MPFR_RNDN);
        mpfr_sin(r22173, r22172, MPFR_RNDN);
        mpfr_mul(r22174, r22171, r22173, MPFR_RNDN);
        return mpfr_get_d(r22174, MPFR_RNDN);
}

static mpfr_t r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init_set_str(r22177, "1", 10, MPFR_RNDN);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
        mpfr_init(r22185);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22175, th, MPFR_RNDN);
        mpfr_sin(r22176, r22175, MPFR_RNDN);
        ;
        mpfr_div(r22178, r22176, r22177, MPFR_RNDN);
        mpfr_set_d(r22179, ky, MPFR_RNDN);
        mpfr_sin(r22180, r22179, MPFR_RNDN);
        mpfr_set_d(r22181, kx, MPFR_RNDN);
        mpfr_sin(r22182, r22181, MPFR_RNDN);
        mpfr_hypot(r22183, r22180, r22182, MPFR_RNDN);
        mpfr_div(r22184, r22180, r22183, MPFR_RNDN);
        mpfr_mul(r22185, r22178, r22184, MPFR_RNDN);
        return mpfr_get_d(r22185, MPFR_RNDN);
}

static mpfr_t r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init_set_str(r22188, "1", 10, MPFR_RNDN);
        mpfr_init(r22189);
        mpfr_init(r22190);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22186, th, MPFR_RNDN);
        mpfr_sin(r22187, r22186, MPFR_RNDN);
        ;
        mpfr_div(r22189, r22187, r22188, MPFR_RNDN);
        mpfr_set_d(r22190, ky, MPFR_RNDN);
        mpfr_sin(r22191, r22190, MPFR_RNDN);
        mpfr_set_d(r22192, kx, MPFR_RNDN);
        mpfr_sin(r22193, r22192, MPFR_RNDN);
        mpfr_hypot(r22194, r22191, r22193, MPFR_RNDN);
        mpfr_div(r22195, r22191, r22194, MPFR_RNDN);
        mpfr_mul(r22196, r22189, r22195, MPFR_RNDN);
        return mpfr_get_d(r22196, MPFR_RNDN);
}