#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 r22093 = ky;
        float r22094 = sin(r22093);
        float r22095 = kx;
        float r22096 = sin(r22095);
        float r22097 = 2;
        float r22098 = pow(r22096, r22097);
        float r22099 = pow(r22094, r22097);
        float r22100 = r22098 + r22099;
        float r22101 = sqrt(r22100);
        float r22102 = r22094 / r22101;
        float r22103 = th;
        float r22104 = sin(r22103);
        float r22105 = r22102 * r22104;
        return r22105;
}

double f_id(double kx, double ky, double th) {
        double r22106 = ky;
        double r22107 = sin(r22106);
        double r22108 = kx;
        double r22109 = sin(r22108);
        double r22110 = 2;
        double r22111 = pow(r22109, r22110);
        double r22112 = pow(r22107, r22110);
        double r22113 = r22111 + r22112;
        double r22114 = sqrt(r22113);
        double r22115 = r22107 / r22114;
        double r22116 = th;
        double r22117 = sin(r22116);
        double r22118 = r22115 * r22117;
        return r22118;
}


double f_of(float kx, float ky, float th) {
        float r22119 = 1;
        float r22120 = kx;
        float r22121 = sin(r22120);
        float r22122 = ky;
        float r22123 = sin(r22122);
        float r22124 = hypot(r22121, r22123);
        float r22125 = r22124 / r22123;
        float r22126 = r22119 / r22125;
        float r22127 = th;
        float r22128 = sin(r22127);
        float r22129 = r22126 * r22128;
        return r22129;
}

double f_od(double kx, double ky, double th) {
        double r22130 = 1;
        double r22131 = kx;
        double r22132 = sin(r22131);
        double r22133 = ky;
        double r22134 = sin(r22133);
        double r22135 = hypot(r22132, r22134);
        double r22136 = r22135 / r22134;
        double r22137 = r22130 / r22136;
        double r22138 = th;
        double r22139 = sin(r22138);
        double r22140 = r22137 * r22139;
        return r22140;
}

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 r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r22141);
        mpfr_init(r22142);
        mpfr_init(r22143);
        mpfr_init(r22144);
        mpfr_init_set_str(r22145, "2", 10, MPFR_RNDN);
        mpfr_init(r22146);
        mpfr_init(r22147);
        mpfr_init(r22148);
        mpfr_init(r22149);
        mpfr_init(r22150);
        mpfr_init(r22151);
        mpfr_init(r22152);
        mpfr_init(r22153);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r22141, ky, MPFR_RNDN);
        mpfr_sin(r22142, r22141, MPFR_RNDN);
        mpfr_set_d(r22143, kx, MPFR_RNDN);
        mpfr_sin(r22144, r22143, MPFR_RNDN);
        ;
        mpfr_pow(r22146, r22144, r22145, MPFR_RNDN);
        mpfr_pow(r22147, r22142, r22145, MPFR_RNDN);
        mpfr_add(r22148, r22146, r22147, MPFR_RNDN);
        mpfr_sqrt(r22149, r22148, MPFR_RNDN);
        mpfr_div(r22150, r22142, r22149, MPFR_RNDN);
        mpfr_set_d(r22151, th, MPFR_RNDN);
        mpfr_sin(r22152, r22151, MPFR_RNDN);
        mpfr_mul(r22153, r22150, r22152, MPFR_RNDN);
        return mpfr_get_d(r22153, MPFR_RNDN);
}

static mpfr_t r22154, r22155, r22156, r22157, r22158, r22159, r22160, r22161, r22162, r22163, r22164;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init_set_str(r22154, "1", 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);
        mpfr_init(r22163);
        mpfr_init(r22164);
}

double f_fm(double kx, double ky, double th) {
        ;
        mpfr_set_d(r22155, kx, MPFR_RNDN);
        mpfr_sin(r22156, r22155, MPFR_RNDN);
        mpfr_set_d(r22157, ky, MPFR_RNDN);
        mpfr_sin(r22158, r22157, MPFR_RNDN);
        mpfr_hypot(r22159, r22156, r22158, MPFR_RNDN);
        mpfr_div(r22160, r22159, r22158, MPFR_RNDN);
        mpfr_div(r22161, r22154, r22160, MPFR_RNDN);
        mpfr_set_d(r22162, th, MPFR_RNDN);
        mpfr_sin(r22163, r22162, MPFR_RNDN);
        mpfr_mul(r22164, r22161, r22163, MPFR_RNDN);
        return mpfr_get_d(r22164, MPFR_RNDN);
}

static mpfr_t r22165, r22166, r22167, r22168, r22169, r22170, r22171, r22172, r22173, r22174, r22175;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        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);
        mpfr_init(r22174);
        mpfr_init(r22175);
}

double f_dm(double kx, double ky, double th) {
        ;
        mpfr_set_d(r22166, kx, MPFR_RNDN);
        mpfr_sin(r22167, r22166, MPFR_RNDN);
        mpfr_set_d(r22168, ky, MPFR_RNDN);
        mpfr_sin(r22169, r22168, MPFR_RNDN);
        mpfr_hypot(r22170, r22167, r22169, MPFR_RNDN);
        mpfr_div(r22171, r22170, r22169, MPFR_RNDN);
        mpfr_div(r22172, r22165, r22171, MPFR_RNDN);
        mpfr_set_d(r22173, th, MPFR_RNDN);
        mpfr_sin(r22174, r22173, MPFR_RNDN);
        mpfr_mul(r22175, r22172, r22174, MPFR_RNDN);
        return mpfr_get_d(r22175, MPFR_RNDN);
}