#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "NMSE problem 3.4.1";

double f_if(float x) {
        float r15059 = 1.0f;
        float r15060 = x;
        float r15061 = cos(r15060);
        float r15062 = r15059 - r15061;
        float r15063 = r15060 * r15060;
        float r15064 = r15062 / r15063;
        return r15064;
}

double f_id(double x) {
        double r15065 = 1.0;
        double r15066 = x;
        double r15067 = cos(r15066);
        double r15068 = r15065 - r15067;
        double r15069 = r15066 * r15066;
        double r15070 = r15068 / r15069;
        return r15070;
}


double f_of(float x) {
        float r15071 = x;
        float r15072 = sin(r15071);
        float r15073 = r15072 / r15071;
        float r15074 = 1.0f;
        float r15075 = cos(r15071);
        float r15076 = r15074 + r15075;
        float r15077 = r15072 / r15076;
        float r15078 = r15077 / r15071;
        float r15079 = r15073 * r15078;
        return r15079;
}

double f_od(double x) {
        double r15080 = x;
        double r15081 = sin(r15080);
        double r15082 = r15081 / r15080;
        double r15083 = 1.0;
        double r15084 = cos(r15080);
        double r15085 = r15083 + r15084;
        double r15086 = r15081 / r15085;
        double r15087 = r15086 / r15080;
        double r15088 = r15082 * r15087;
        return r15088;
}

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 r15089, r15090, r15091, r15092, r15093, r15094;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15089, "1", 10, MPFR_RNDN);
        mpfr_init(r15090);
        mpfr_init(r15091);
        mpfr_init(r15092);
        mpfr_init(r15093);
        mpfr_init(r15094);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15090, x, MPFR_RNDN);
        mpfr_cos(r15091, r15090, MPFR_RNDN);
        mpfr_sub(r15092, r15089, r15091, MPFR_RNDN);
        mpfr_sqr(r15093, r15090, MPFR_RNDN);
        mpfr_div(r15094, r15092, r15093, MPFR_RNDN);
        return mpfr_get_d(r15094, MPFR_RNDN);
}

static mpfr_t r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15095);
        mpfr_init(r15096);
        mpfr_init(r15097);
        mpfr_init_set_str(r15098, "1", 10, MPFR_RNDN);
        mpfr_init(r15099);
        mpfr_init(r15100);
        mpfr_init(r15101);
        mpfr_init(r15102);
        mpfr_init(r15103);
}

double f_fm(double x) {
        mpfr_set_d(r15095, x, MPFR_RNDN);
        mpfr_sin(r15096, r15095, MPFR_RNDN);
        mpfr_div(r15097, r15096, r15095, MPFR_RNDN);
        ;
        mpfr_cos(r15099, r15095, MPFR_RNDN);
        mpfr_add(r15100, r15098, r15099, MPFR_RNDN);
        mpfr_div(r15101, r15096, r15100, MPFR_RNDN);
        mpfr_div(r15102, r15101, r15095, MPFR_RNDN);
        mpfr_mul(r15103, r15097, r15102, MPFR_RNDN);
        return mpfr_get_d(r15103, MPFR_RNDN);
}

static mpfr_t r15104, r15105, r15106, r15107, r15108, r15109, r15110, r15111, r15112;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15104);
        mpfr_init(r15105);
        mpfr_init(r15106);
        mpfr_init_set_str(r15107, "1", 10, MPFR_RNDN);
        mpfr_init(r15108);
        mpfr_init(r15109);
        mpfr_init(r15110);
        mpfr_init(r15111);
        mpfr_init(r15112);
}

double f_dm(double x) {
        mpfr_set_d(r15104, x, MPFR_RNDN);
        mpfr_sin(r15105, r15104, MPFR_RNDN);
        mpfr_div(r15106, r15105, r15104, MPFR_RNDN);
        ;
        mpfr_cos(r15108, r15104, MPFR_RNDN);
        mpfr_add(r15109, r15107, r15108, MPFR_RNDN);
        mpfr_div(r15110, r15105, r15109, MPFR_RNDN);
        mpfr_div(r15111, r15110, r15104, MPFR_RNDN);
        mpfr_mul(r15112, r15106, r15111, MPFR_RNDN);
        return mpfr_get_d(r15112, MPFR_RNDN);
}