#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 r21075 = ky;
        float r21076 = sin(r21075);
        float r21077 = kx;
        float r21078 = sin(r21077);
        float r21079 = 2;
        float r21080 = pow(r21078, r21079);
        float r21081 = pow(r21076, r21079);
        float r21082 = r21080 + r21081;
        float r21083 = sqrt(r21082);
        float r21084 = r21076 / r21083;
        float r21085 = th;
        float r21086 = sin(r21085);
        float r21087 = r21084 * r21086;
        return r21087;
}

double f_id(double kx, double ky, double th) {
        double r21088 = ky;
        double r21089 = sin(r21088);
        double r21090 = kx;
        double r21091 = sin(r21090);
        double r21092 = 2;
        double r21093 = pow(r21091, r21092);
        double r21094 = pow(r21089, r21092);
        double r21095 = r21093 + r21094;
        double r21096 = sqrt(r21095);
        double r21097 = r21089 / r21096;
        double r21098 = th;
        double r21099 = sin(r21098);
        double r21100 = r21097 * r21099;
        return r21100;
}


double f_of(float kx, float ky, float th) {
        float r21101 = th;
        float r21102 = sin(r21101);
        float r21103 = 1;
        float r21104 = r21102 / r21103;
        float r21105 = ky;
        float r21106 = sin(r21105);
        float r21107 = kx;
        float r21108 = sin(r21107);
        float r21109 = hypot(r21106, r21108);
        float r21110 = r21106 / r21109;
        float r21111 = r21104 * r21110;
        return r21111;
}

double f_od(double kx, double ky, double th) {
        double r21112 = th;
        double r21113 = sin(r21112);
        double r21114 = 1;
        double r21115 = r21113 / r21114;
        double r21116 = ky;
        double r21117 = sin(r21116);
        double r21118 = kx;
        double r21119 = sin(r21118);
        double r21120 = hypot(r21117, r21119);
        double r21121 = r21117 / r21120;
        double r21122 = r21115 * r21121;
        return r21122;
}

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 r21123, r21124, r21125, r21126, r21127, r21128, r21129, r21130, r21131, r21132, r21133, r21134, r21135;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(400);
        mpfr_init(r21123);
        mpfr_init(r21124);
        mpfr_init(r21125);
        mpfr_init(r21126);
        mpfr_init_set_str(r21127, "2", 10, MPFR_RNDN);
        mpfr_init(r21128);
        mpfr_init(r21129);
        mpfr_init(r21130);
        mpfr_init(r21131);
        mpfr_init(r21132);
        mpfr_init(r21133);
        mpfr_init(r21134);
        mpfr_init(r21135);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r21123, ky, MPFR_RNDN);
        mpfr_sin(r21124, r21123, MPFR_RNDN);
        mpfr_set_d(r21125, kx, MPFR_RNDN);
        mpfr_sin(r21126, r21125, MPFR_RNDN);
        ;
        mpfr_pow(r21128, r21126, r21127, MPFR_RNDN);
        mpfr_pow(r21129, r21124, r21127, MPFR_RNDN);
        mpfr_add(r21130, r21128, r21129, MPFR_RNDN);
        mpfr_sqrt(r21131, r21130, MPFR_RNDN);
        mpfr_div(r21132, r21124, r21131, MPFR_RNDN);
        mpfr_set_d(r21133, th, MPFR_RNDN);
        mpfr_sin(r21134, r21133, MPFR_RNDN);
        mpfr_mul(r21135, r21132, r21134, MPFR_RNDN);
        return mpfr_get_d(r21135, MPFR_RNDN);
}

static mpfr_t r21136, r21137, r21138, r21139, r21140, r21141, r21142, r21143, r21144, r21145, r21146;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21136);
        mpfr_init(r21137);
        mpfr_init_set_str(r21138, "1", 10, MPFR_RNDN);
        mpfr_init(r21139);
        mpfr_init(r21140);
        mpfr_init(r21141);
        mpfr_init(r21142);
        mpfr_init(r21143);
        mpfr_init(r21144);
        mpfr_init(r21145);
        mpfr_init(r21146);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r21136, th, MPFR_RNDN);
        mpfr_sin(r21137, r21136, MPFR_RNDN);
        ;
        mpfr_div(r21139, r21137, r21138, MPFR_RNDN);
        mpfr_set_d(r21140, ky, MPFR_RNDN);
        mpfr_sin(r21141, r21140, MPFR_RNDN);
        mpfr_set_d(r21142, kx, MPFR_RNDN);
        mpfr_sin(r21143, r21142, MPFR_RNDN);
        mpfr_hypot(r21144, r21141, r21143, MPFR_RNDN);
        mpfr_div(r21145, r21141, r21144, MPFR_RNDN);
        mpfr_mul(r21146, r21139, r21145, MPFR_RNDN);
        return mpfr_get_d(r21146, MPFR_RNDN);
}

static mpfr_t r21147, r21148, r21149, r21150, r21151, r21152, r21153, r21154, r21155, r21156, r21157;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(400);
        mpfr_init(r21147);
        mpfr_init(r21148);
        mpfr_init_set_str(r21149, "1", 10, MPFR_RNDN);
        mpfr_init(r21150);
        mpfr_init(r21151);
        mpfr_init(r21152);
        mpfr_init(r21153);
        mpfr_init(r21154);
        mpfr_init(r21155);
        mpfr_init(r21156);
        mpfr_init(r21157);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r21147, th, MPFR_RNDN);
        mpfr_sin(r21148, r21147, MPFR_RNDN);
        ;
        mpfr_div(r21150, r21148, r21149, MPFR_RNDN);
        mpfr_set_d(r21151, ky, MPFR_RNDN);
        mpfr_sin(r21152, r21151, MPFR_RNDN);
        mpfr_set_d(r21153, kx, MPFR_RNDN);
        mpfr_sin(r21154, r21153, MPFR_RNDN);
        mpfr_hypot(r21155, r21152, r21154, MPFR_RNDN);
        mpfr_div(r21156, r21152, r21155, MPFR_RNDN);
        mpfr_mul(r21157, r21150, r21156, MPFR_RNDN);
        return mpfr_get_d(r21157, MPFR_RNDN);
}