#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 r15071 = 1.0f;
        float r15072 = x;
        float r15073 = cos(r15072);
        float r15074 = r15071 - r15073;
        float r15075 = r15072 * r15072;
        float r15076 = r15074 / r15075;
        return r15076;
}

double f_id(double x) {
        double r15077 = 1.0;
        double r15078 = x;
        double r15079 = cos(r15078);
        double r15080 = r15077 - r15079;
        double r15081 = r15078 * r15078;
        double r15082 = r15080 / r15081;
        return r15082;
}


double f_of(float x) {
        float r15083 = x;
        float r15084 = sin(r15083);
        float r15085 = 1.0f;
        float r15086 = cos(r15083);
        float r15087 = r15085 + r15086;
        float r15088 = sqrt(r15087);
        float r15089 = r15084 / r15088;
        float r15090 = r15089 / r15083;
        float r15091 = r15090 * r15090;
        return r15091;
}

double f_od(double x) {
        double r15092 = x;
        double r15093 = sin(r15092);
        double r15094 = 1.0;
        double r15095 = cos(r15092);
        double r15096 = r15094 + r15095;
        double r15097 = sqrt(r15096);
        double r15098 = r15093 / r15097;
        double r15099 = r15098 / r15092;
        double r15100 = r15099 * r15099;
        return r15100;
}

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 r15101, r15102, r15103, r15104, r15105, r15106;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15101, "1", 10, MPFR_RNDN);
        mpfr_init(r15102);
        mpfr_init(r15103);
        mpfr_init(r15104);
        mpfr_init(r15105);
        mpfr_init(r15106);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15102, x, MPFR_RNDN);
        mpfr_cos(r15103, r15102, MPFR_RNDN);
        mpfr_sub(r15104, r15101, r15103, MPFR_RNDN);
        mpfr_sqr(r15105, r15102, MPFR_RNDN);
        mpfr_div(r15106, r15104, r15105, MPFR_RNDN);
        return mpfr_get_d(r15106, MPFR_RNDN);
}

static mpfr_t r15107, r15108, r15109, r15110, r15111, r15112, r15113, r15114, r15115;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15107);
        mpfr_init(r15108);
        mpfr_init_set_str(r15109, "1", 10, MPFR_RNDN);
        mpfr_init(r15110);
        mpfr_init(r15111);
        mpfr_init(r15112);
        mpfr_init(r15113);
        mpfr_init(r15114);
        mpfr_init(r15115);
}

double f_fm(double x) {
        mpfr_set_d(r15107, x, MPFR_RNDN);
        mpfr_sin(r15108, r15107, MPFR_RNDN);
        ;
        mpfr_cos(r15110, r15107, MPFR_RNDN);
        mpfr_add(r15111, r15109, r15110, MPFR_RNDN);
        mpfr_sqrt(r15112, r15111, MPFR_RNDN);
        mpfr_div(r15113, r15108, r15112, MPFR_RNDN);
        mpfr_div(r15114, r15113, r15107, MPFR_RNDN);
        mpfr_sqr(r15115, r15114, MPFR_RNDN);
        return mpfr_get_d(r15115, MPFR_RNDN);
}

static mpfr_t r15116, r15117, r15118, r15119, r15120, r15121, r15122, r15123, r15124;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15116);
        mpfr_init(r15117);
        mpfr_init_set_str(r15118, "1", 10, MPFR_RNDN);
        mpfr_init(r15119);
        mpfr_init(r15120);
        mpfr_init(r15121);
        mpfr_init(r15122);
        mpfr_init(r15123);
        mpfr_init(r15124);
}

double f_dm(double x) {
        mpfr_set_d(r15116, x, MPFR_RNDN);
        mpfr_sin(r15117, r15116, MPFR_RNDN);
        ;
        mpfr_cos(r15119, r15116, MPFR_RNDN);
        mpfr_add(r15120, r15118, r15119, MPFR_RNDN);
        mpfr_sqrt(r15121, r15120, MPFR_RNDN);
        mpfr_div(r15122, r15117, r15121, MPFR_RNDN);
        mpfr_div(r15123, r15122, r15116, MPFR_RNDN);
        mpfr_sqr(r15124, r15123, MPFR_RNDN);
        return mpfr_get_d(r15124, MPFR_RNDN);
}