#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 r15151 = 1.0f;
        float r15152 = x;
        float r15153 = cos(r15152);
        float r15154 = r15151 - r15153;
        float r15155 = r15152 * r15152;
        float r15156 = r15154 / r15155;
        return r15156;
}

double f_id(double x) {
        double r15157 = 1.0;
        double r15158 = x;
        double r15159 = cos(r15158);
        double r15160 = r15157 - r15159;
        double r15161 = r15158 * r15158;
        double r15162 = r15160 / r15161;
        return r15162;
}


double f_of(float x) {
        float r15163 = x;
        float r15164 = sin(r15163);
        float r15165 = 1.0f;
        float r15166 = cos(r15163);
        float r15167 = r15165 + r15166;
        float r15168 = sqrt(r15167);
        float r15169 = r15164 / r15168;
        float r15170 = r15169 / r15163;
        float r15171 = r15170 * r15170;
        return r15171;
}

double f_od(double x) {
        double r15172 = x;
        double r15173 = sin(r15172);
        double r15174 = 1.0;
        double r15175 = cos(r15172);
        double r15176 = r15174 + r15175;
        double r15177 = sqrt(r15176);
        double r15178 = r15173 / r15177;
        double r15179 = r15178 / r15172;
        double r15180 = r15179 * r15179;
        return r15180;
}

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 r15181, r15182, r15183, r15184, r15185, r15186;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15181, "1", 10, MPFR_RNDN);
        mpfr_init(r15182);
        mpfr_init(r15183);
        mpfr_init(r15184);
        mpfr_init(r15185);
        mpfr_init(r15186);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15182, x, MPFR_RNDN);
        mpfr_cos(r15183, r15182, MPFR_RNDN);
        mpfr_sub(r15184, r15181, r15183, MPFR_RNDN);
        mpfr_sqr(r15185, r15182, MPFR_RNDN);
        mpfr_div(r15186, r15184, r15185, MPFR_RNDN);
        return mpfr_get_d(r15186, MPFR_RNDN);
}

static mpfr_t r15187, r15188, r15189, r15190, r15191, r15192, r15193, r15194, r15195;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15187);
        mpfr_init(r15188);
        mpfr_init_set_str(r15189, "1", 10, MPFR_RNDN);
        mpfr_init(r15190);
        mpfr_init(r15191);
        mpfr_init(r15192);
        mpfr_init(r15193);
        mpfr_init(r15194);
        mpfr_init(r15195);
}

double f_fm(double x) {
        mpfr_set_d(r15187, x, MPFR_RNDN);
        mpfr_sin(r15188, r15187, MPFR_RNDN);
        ;
        mpfr_cos(r15190, r15187, MPFR_RNDN);
        mpfr_add(r15191, r15189, r15190, MPFR_RNDN);
        mpfr_sqrt(r15192, r15191, MPFR_RNDN);
        mpfr_div(r15193, r15188, r15192, MPFR_RNDN);
        mpfr_div(r15194, r15193, r15187, MPFR_RNDN);
        mpfr_sqr(r15195, r15194, MPFR_RNDN);
        return mpfr_get_d(r15195, MPFR_RNDN);
}

static mpfr_t r15196, r15197, r15198, r15199, r15200, r15201, r15202, r15203, r15204;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15196);
        mpfr_init(r15197);
        mpfr_init_set_str(r15198, "1", 10, MPFR_RNDN);
        mpfr_init(r15199);
        mpfr_init(r15200);
        mpfr_init(r15201);
        mpfr_init(r15202);
        mpfr_init(r15203);
        mpfr_init(r15204);
}

double f_dm(double x) {
        mpfr_set_d(r15196, x, MPFR_RNDN);
        mpfr_sin(r15197, r15196, MPFR_RNDN);
        ;
        mpfr_cos(r15199, r15196, MPFR_RNDN);
        mpfr_add(r15200, r15198, r15199, MPFR_RNDN);
        mpfr_sqrt(r15201, r15200, MPFR_RNDN);
        mpfr_div(r15202, r15197, r15201, MPFR_RNDN);
        mpfr_div(r15203, r15202, r15196, MPFR_RNDN);
        mpfr_sqr(r15204, r15203, MPFR_RNDN);
        return mpfr_get_d(r15204, MPFR_RNDN);
}