#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 r15083 = 1.0f;
        float r15084 = x;
        float r15085 = cos(r15084);
        float r15086 = r15083 - r15085;
        float r15087 = r15084 * r15084;
        float r15088 = r15086 / r15087;
        return r15088;
}

double f_id(double x) {
        double r15089 = 1.0;
        double r15090 = x;
        double r15091 = cos(r15090);
        double r15092 = r15089 - r15091;
        double r15093 = r15090 * r15090;
        double r15094 = r15092 / r15093;
        return r15094;
}


double f_of(float x) {
        float r15095 = x;
        float r15096 = sin(r15095);
        float r15097 = 1.0f;
        float r15098 = cos(r15095);
        float r15099 = r15097 + r15098;
        float r15100 = sqrt(r15099);
        float r15101 = r15096 / r15100;
        float r15102 = r15101 / r15095;
        float r15103 = r15102 * r15102;
        return r15103;
}

double f_od(double x) {
        double r15104 = x;
        double r15105 = sin(r15104);
        double r15106 = 1.0;
        double r15107 = cos(r15104);
        double r15108 = r15106 + r15107;
        double r15109 = sqrt(r15108);
        double r15110 = r15105 / r15109;
        double r15111 = r15110 / r15104;
        double r15112 = r15111 * r15111;
        return r15112;
}

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 r15113, r15114, r15115, r15116, r15117, r15118;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15113, "1", 10, MPFR_RNDN);
        mpfr_init(r15114);
        mpfr_init(r15115);
        mpfr_init(r15116);
        mpfr_init(r15117);
        mpfr_init(r15118);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15114, x, MPFR_RNDN);
        mpfr_cos(r15115, r15114, MPFR_RNDN);
        mpfr_sub(r15116, r15113, r15115, MPFR_RNDN);
        mpfr_sqr(r15117, r15114, MPFR_RNDN);
        mpfr_div(r15118, r15116, r15117, MPFR_RNDN);
        return mpfr_get_d(r15118, MPFR_RNDN);
}

static mpfr_t r15119, r15120, r15121, r15122, r15123, r15124, r15125, r15126, r15127;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15119);
        mpfr_init(r15120);
        mpfr_init_set_str(r15121, "1", 10, MPFR_RNDN);
        mpfr_init(r15122);
        mpfr_init(r15123);
        mpfr_init(r15124);
        mpfr_init(r15125);
        mpfr_init(r15126);
        mpfr_init(r15127);
}

double f_fm(double x) {
        mpfr_set_d(r15119, x, MPFR_RNDN);
        mpfr_sin(r15120, r15119, MPFR_RNDN);
        ;
        mpfr_cos(r15122, r15119, MPFR_RNDN);
        mpfr_add(r15123, r15121, r15122, MPFR_RNDN);
        mpfr_sqrt(r15124, r15123, MPFR_RNDN);
        mpfr_div(r15125, r15120, r15124, MPFR_RNDN);
        mpfr_div(r15126, r15125, r15119, MPFR_RNDN);
        mpfr_sqr(r15127, r15126, MPFR_RNDN);
        return mpfr_get_d(r15127, MPFR_RNDN);
}

static mpfr_t r15128, r15129, r15130, r15131, r15132, r15133, r15134, r15135, r15136;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15128);
        mpfr_init(r15129);
        mpfr_init_set_str(r15130, "1", 10, MPFR_RNDN);
        mpfr_init(r15131);
        mpfr_init(r15132);
        mpfr_init(r15133);
        mpfr_init(r15134);
        mpfr_init(r15135);
        mpfr_init(r15136);
}

double f_dm(double x) {
        mpfr_set_d(r15128, x, MPFR_RNDN);
        mpfr_sin(r15129, r15128, MPFR_RNDN);
        ;
        mpfr_cos(r15131, r15128, MPFR_RNDN);
        mpfr_add(r15132, r15130, r15131, MPFR_RNDN);
        mpfr_sqrt(r15133, r15132, MPFR_RNDN);
        mpfr_div(r15134, r15129, r15133, MPFR_RNDN);
        mpfr_div(r15135, r15134, r15128, MPFR_RNDN);
        mpfr_sqr(r15136, r15135, MPFR_RNDN);
        return mpfr_get_d(r15136, MPFR_RNDN);
}