#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 r22102 = ky;
        float r22103 = sin(r22102);
        float r22104 = kx;
        float r22105 = sin(r22104);
        float r22106 = 2;
        float r22107 = pow(r22105, r22106);
        float r22108 = pow(r22103, r22106);
        float r22109 = r22107 + r22108;
        float r22110 = sqrt(r22109);
        float r22111 = r22103 / r22110;
        float r22112 = th;
        float r22113 = sin(r22112);
        float r22114 = r22111 * r22113;
        return r22114;
}

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


double f_of(float kx, float ky, float th) {
        float r22128 = th;
        float r22129 = sin(r22128);
        float r22130 = 1;
        float r22131 = r22129 / r22130;
        float r22132 = ky;
        float r22133 = sin(r22132);
        float r22134 = kx;
        float r22135 = sin(r22134);
        float r22136 = hypot(r22133, r22135);
        float r22137 = r22133 / r22136;
        float r22138 = r22131 * r22137;
        return r22138;
}

double f_od(double kx, double ky, double th) {
        double r22139 = th;
        double r22140 = sin(r22139);
        double r22141 = 1;
        double r22142 = r22140 / r22141;
        double r22143 = ky;
        double r22144 = sin(r22143);
        double r22145 = kx;
        double r22146 = sin(r22145);
        double r22147 = hypot(r22144, r22146);
        double r22148 = r22144 / r22147;
        double r22149 = r22142 * r22148;
        return r22149;
}

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 r22150, r22151, r22152, r22153, r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
        mpfr_init_set_str(r22154, "2", 10, MPFR_RNDN);
        mpfr_init(r22155);
        mpfr_init(r22156);
        mpfr_init(r22157);
        mpfr_init(r22158);
        mpfr_init(r22159);
        mpfr_init(r22160);
        mpfr_init(r22161);
        mpfr_init(r22162);
}

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

static mpfr_t r22163, r22164, r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22163);
        mpfr_init(r22164);
        mpfr_init_set_str(r22165, "1", 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_fm(double kx, double ky, double th) {
        mpfr_set_d(r22163, th, MPFR_RNDN);
        mpfr_sin(r22164, r22163, MPFR_RNDN);
        ;
        mpfr_div(r22166, r22164, r22165, MPFR_RNDN);
        mpfr_set_d(r22167, ky, MPFR_RNDN);
        mpfr_sin(r22168, r22167, MPFR_RNDN);
        mpfr_set_d(r22169, kx, MPFR_RNDN);
        mpfr_sin(r22170, r22169, MPFR_RNDN);
        mpfr_hypot(r22171, r22168, r22170, MPFR_RNDN);
        mpfr_div(r22172, r22168, r22171, MPFR_RNDN);
        mpfr_mul(r22173, r22166, r22172, MPFR_RNDN);
        return mpfr_get_d(r22173, MPFR_RNDN);
}

static mpfr_t r22174, r22175, r22176, r22177, r22178, r22179, r22180, r22181, r22182, r22183, r22184;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r22174);
        mpfr_init(r22175);
        mpfr_init_set_str(r22176, "1", 10, MPFR_RNDN);
        mpfr_init(r22177);
        mpfr_init(r22178);
        mpfr_init(r22179);
        mpfr_init(r22180);
        mpfr_init(r22181);
        mpfr_init(r22182);
        mpfr_init(r22183);
        mpfr_init(r22184);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r22174, th, MPFR_RNDN);
        mpfr_sin(r22175, r22174, MPFR_RNDN);
        ;
        mpfr_div(r22177, r22175, r22176, MPFR_RNDN);
        mpfr_set_d(r22178, ky, MPFR_RNDN);
        mpfr_sin(r22179, r22178, MPFR_RNDN);
        mpfr_set_d(r22180, kx, MPFR_RNDN);
        mpfr_sin(r22181, r22180, MPFR_RNDN);
        mpfr_hypot(r22182, r22179, r22181, MPFR_RNDN);
        mpfr_div(r22183, r22179, r22182, MPFR_RNDN);
        mpfr_mul(r22184, r22177, r22183, MPFR_RNDN);
        return mpfr_get_d(r22184, MPFR_RNDN);
}