#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 r15175 = 1.0f;
        float r15176 = x;
        float r15177 = cos(r15176);
        float r15178 = r15175 - r15177;
        float r15179 = r15176 * r15176;
        float r15180 = r15178 / r15179;
        return r15180;
}

double f_id(double x) {
        double r15181 = 1.0;
        double r15182 = x;
        double r15183 = cos(r15182);
        double r15184 = r15181 - r15183;
        double r15185 = r15182 * r15182;
        double r15186 = r15184 / r15185;
        return r15186;
}


double f_of(float x) {
        float r15187 = x;
        float r15188 = sin(r15187);
        float r15189 = r15188 / r15187;
        float r15190 = 1.0f;
        float r15191 = cos(r15187);
        float r15192 = r15190 + r15191;
        float r15193 = r15188 / r15192;
        float r15194 = r15193 / r15187;
        float r15195 = r15189 * r15194;
        return r15195;
}

double f_od(double x) {
        double r15196 = x;
        double r15197 = sin(r15196);
        double r15198 = r15197 / r15196;
        double r15199 = 1.0;
        double r15200 = cos(r15196);
        double r15201 = r15199 + r15200;
        double r15202 = r15197 / r15201;
        double r15203 = r15202 / r15196;
        double r15204 = r15198 * r15203;
        return r15204;
}

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 r15205, r15206, r15207, r15208, r15209, r15210;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15205, "1", 10, MPFR_RNDN);
        mpfr_init(r15206);
        mpfr_init(r15207);
        mpfr_init(r15208);
        mpfr_init(r15209);
        mpfr_init(r15210);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15206, x, MPFR_RNDN);
        mpfr_cos(r15207, r15206, MPFR_RNDN);
        mpfr_sub(r15208, r15205, r15207, MPFR_RNDN);
        mpfr_sqr(r15209, r15206, MPFR_RNDN);
        mpfr_div(r15210, r15208, r15209, MPFR_RNDN);
        return mpfr_get_d(r15210, MPFR_RNDN);
}

static mpfr_t r15211, r15212, r15213, r15214, r15215, r15216, r15217, r15218, r15219;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15211);
        mpfr_init(r15212);
        mpfr_init(r15213);
        mpfr_init_set_str(r15214, "1", 10, MPFR_RNDN);
        mpfr_init(r15215);
        mpfr_init(r15216);
        mpfr_init(r15217);
        mpfr_init(r15218);
        mpfr_init(r15219);
}

double f_fm(double x) {
        mpfr_set_d(r15211, x, MPFR_RNDN);
        mpfr_sin(r15212, r15211, MPFR_RNDN);
        mpfr_div(r15213, r15212, r15211, MPFR_RNDN);
        ;
        mpfr_cos(r15215, r15211, MPFR_RNDN);
        mpfr_add(r15216, r15214, r15215, MPFR_RNDN);
        mpfr_div(r15217, r15212, r15216, MPFR_RNDN);
        mpfr_div(r15218, r15217, r15211, MPFR_RNDN);
        mpfr_mul(r15219, r15213, r15218, MPFR_RNDN);
        return mpfr_get_d(r15219, MPFR_RNDN);
}

static mpfr_t r15220, r15221, r15222, r15223, r15224, r15225, r15226, r15227, r15228;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15220);
        mpfr_init(r15221);
        mpfr_init(r15222);
        mpfr_init_set_str(r15223, "1", 10, MPFR_RNDN);
        mpfr_init(r15224);
        mpfr_init(r15225);
        mpfr_init(r15226);
        mpfr_init(r15227);
        mpfr_init(r15228);
}

double f_dm(double x) {
        mpfr_set_d(r15220, x, MPFR_RNDN);
        mpfr_sin(r15221, r15220, MPFR_RNDN);
        mpfr_div(r15222, r15221, r15220, MPFR_RNDN);
        ;
        mpfr_cos(r15224, r15220, MPFR_RNDN);
        mpfr_add(r15225, r15223, r15224, MPFR_RNDN);
        mpfr_div(r15226, r15221, r15225, MPFR_RNDN);
        mpfr_div(r15227, r15226, r15220, MPFR_RNDN);
        mpfr_mul(r15228, r15222, r15227, MPFR_RNDN);
        return mpfr_get_d(r15228, MPFR_RNDN);
}