#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 r22121 = ky;
        float r22122 = sin(r22121);
        float r22123 = kx;
        float r22124 = sin(r22123);
        float r22125 = 2;
        float r22126 = pow(r22124, r22125);
        float r22127 = pow(r22122, r22125);
        float r22128 = r22126 + r22127;
        float r22129 = sqrt(r22128);
        float r22130 = r22122 / r22129;
        float r22131 = th;
        float r22132 = sin(r22131);
        float r22133 = r22130 * r22132;
        return r22133;
}

double f_id(double kx, double ky, double th) {
        double r22134 = ky;
        double r22135 = sin(r22134);
        double r22136 = kx;
        double r22137 = sin(r22136);
        double r22138 = 2;
        double r22139 = pow(r22137, r22138);
        double r22140 = pow(r22135, r22138);
        double r22141 = r22139 + r22140;
        double r22142 = sqrt(r22141);
        double r22143 = r22135 / r22142;
        double r22144 = th;
        double r22145 = sin(r22144);
        double r22146 = r22143 * r22145;
        return r22146;
}


double f_of(float kx, float ky, float th) {
        float r22147 = ky;
        float r22148 = sin(r22147);
        float r22149 = kx;
        float r22150 = sin(r22149);
        float r22151 = 2;
        float r22152 = pow(r22150, r22151);
        float r22153 = pow(r22148, r22151);
        float r22154 = r22152 + r22153;
        float r22155 = sqrt(r22154);
        float r22156 = r22148 / r22155;
        float r22157 = th;
        float r22158 = sin(r22157);
        float r22159 = r22156 * r22158;
        return r22159;
}

double f_od(double kx, double ky, double th) {
        double r22160 = ky;
        double r22161 = sin(r22160);
        double r22162 = kx;
        double r22163 = sin(r22162);
        double r22164 = 2;
        double r22165 = pow(r22163, r22164);
        double r22166 = pow(r22161, r22164);
        double r22167 = r22165 + r22166;
        double r22168 = sqrt(r22167);
        double r22169 = r22161 / r22168;
        double r22170 = th;
        double r22171 = sin(r22170);
        double r22172 = r22169 * r22171;
        return r22172;
}

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 r22173, r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184, r22185;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22173);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init(r22176);
        mpfr_init_set_str(r22177, "2", 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_im(double kx, double ky, double th) {
        mpfr_set_d(r22173, ky, MPFR_RNDN);
        mpfr_sin(r22174, r22173, MPFR_RNDN);
        mpfr_set_d(r22175, kx, MPFR_RNDN);
        mpfr_sin(r22176, r22175, MPFR_RNDN);
        ;
        mpfr_pow(r22178, r22176, r22177, MPFR_RNDN);
        mpfr_pow(r22179, r22174, r22177, MPFR_RNDN);
        mpfr_add(r22180, r22178, r22179, MPFR_RNDN);
        mpfr_sqrt(r22181, r22180, MPFR_RNDN);
        mpfr_div(r22182, r22174, r22181, MPFR_RNDN);
        mpfr_set_d(r22183, th, MPFR_RNDN);
        mpfr_sin(r22184, r22183, MPFR_RNDN);
        mpfr_mul(r22185, r22182, r22184, MPFR_RNDN);
        return mpfr_get_d(r22185, MPFR_RNDN);
}

static mpfr_t r22186, r22187, r22188, r22189, r22190, r22191, r22192, r22193, r22194, r22195, r22196, r22197, r22198;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22186);
        mpfr_init(r22187);
        mpfr_init(r22188);
        mpfr_init(r22189);
        mpfr_init_set_str(r22190, "2", 10, MPFR_RNDN);
        mpfr_init(r22191);
        mpfr_init(r22192);
        mpfr_init(r22193);
        mpfr_init(r22194);
        mpfr_init(r22195);
        mpfr_init(r22196);
        mpfr_init(r22197);
        mpfr_init(r22198);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r22186, ky, MPFR_RNDN);
        mpfr_sin(r22187, r22186, MPFR_RNDN);
        mpfr_set_d(r22188, kx, MPFR_RNDN);
        mpfr_sin(r22189, r22188, MPFR_RNDN);
        ;
        mpfr_pow(r22191, r22189, r22190, MPFR_RNDN);
        mpfr_pow(r22192, r22187, r22190, MPFR_RNDN);
        mpfr_add(r22193, r22191, r22192, MPFR_RNDN);
        mpfr_sqrt(r22194, r22193, MPFR_RNDN);
        mpfr_div(r22195, r22187, r22194, MPFR_RNDN);
        mpfr_set_d(r22196, th, MPFR_RNDN);
        mpfr_sin(r22197, r22196, MPFR_RNDN);
        mpfr_mul(r22198, r22195, r22197, MPFR_RNDN);
        return mpfr_get_d(r22198, MPFR_RNDN);
}

static mpfr_t r22199, r22200, r22201, r22202, r22203, r22204, r22205, r22206, r22207, r22208, r22209, r22210, r22211;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22199);
        mpfr_init(r22200);
        mpfr_init(r22201);
        mpfr_init(r22202);
        mpfr_init_set_str(r22203, "2", 10, MPFR_RNDN);
        mpfr_init(r22204);
        mpfr_init(r22205);
        mpfr_init(r22206);
        mpfr_init(r22207);
        mpfr_init(r22208);
        mpfr_init(r22209);
        mpfr_init(r22210);
        mpfr_init(r22211);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22199, ky, MPFR_RNDN);
        mpfr_sin(r22200, r22199, MPFR_RNDN);
        mpfr_set_d(r22201, kx, MPFR_RNDN);
        mpfr_sin(r22202, r22201, MPFR_RNDN);
        ;
        mpfr_pow(r22204, r22202, r22203, MPFR_RNDN);
        mpfr_pow(r22205, r22200, r22203, MPFR_RNDN);
        mpfr_add(r22206, r22204, r22205, MPFR_RNDN);
        mpfr_sqrt(r22207, r22206, MPFR_RNDN);
        mpfr_div(r22208, r22200, r22207, MPFR_RNDN);
        mpfr_set_d(r22209, th, MPFR_RNDN);
        mpfr_sin(r22210, r22209, MPFR_RNDN);
        mpfr_mul(r22211, r22208, r22210, MPFR_RNDN);
        return mpfr_get_d(r22211, MPFR_RNDN);
}