#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 r14991 = 1.0f;
        float r14992 = x;
        float r14993 = cos(r14992);
        float r14994 = r14991 - r14993;
        float r14995 = r14992 * r14992;
        float r14996 = r14994 / r14995;
        return r14996;
}

double f_id(double x) {
        double r14997 = 1.0;
        double r14998 = x;
        double r14999 = cos(r14998);
        double r15000 = r14997 - r14999;
        double r15001 = r14998 * r14998;
        double r15002 = r15000 / r15001;
        return r15002;
}


double f_of(float x) {
        float r15003 = x;
        float r15004 = sin(r15003);
        float r15005 = 1.0f;
        float r15006 = cos(r15003);
        float r15007 = r15005 + r15006;
        float r15008 = sqrt(r15007);
        float r15009 = r15004 / r15008;
        float r15010 = r15009 / r15003;
        float r15011 = r15010 * r15010;
        return r15011;
}

double f_od(double x) {
        double r15012 = x;
        double r15013 = sin(r15012);
        double r15014 = 1.0;
        double r15015 = cos(r15012);
        double r15016 = r15014 + r15015;
        double r15017 = sqrt(r15016);
        double r15018 = r15013 / r15017;
        double r15019 = r15018 / r15012;
        double r15020 = r15019 * r15019;
        return r15020;
}

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 r15021, r15022, r15023, r15024, r15025, r15026;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15021, "1", 10, MPFR_RNDN);
        mpfr_init(r15022);
        mpfr_init(r15023);
        mpfr_init(r15024);
        mpfr_init(r15025);
        mpfr_init(r15026);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15022, x, MPFR_RNDN);
        mpfr_cos(r15023, r15022, MPFR_RNDN);
        mpfr_sub(r15024, r15021, r15023, MPFR_RNDN);
        mpfr_sqr(r15025, r15022, MPFR_RNDN);
        mpfr_div(r15026, r15024, r15025, MPFR_RNDN);
        return mpfr_get_d(r15026, MPFR_RNDN);
}

static mpfr_t r15027, r15028, r15029, r15030, r15031, r15032, r15033, r15034, r15035;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15027);
        mpfr_init(r15028);
        mpfr_init_set_str(r15029, "1", 10, MPFR_RNDN);
        mpfr_init(r15030);
        mpfr_init(r15031);
        mpfr_init(r15032);
        mpfr_init(r15033);
        mpfr_init(r15034);
        mpfr_init(r15035);
}

double f_fm(double x) {
        mpfr_set_d(r15027, x, MPFR_RNDN);
        mpfr_sin(r15028, r15027, MPFR_RNDN);
        ;
        mpfr_cos(r15030, r15027, MPFR_RNDN);
        mpfr_add(r15031, r15029, r15030, MPFR_RNDN);
        mpfr_sqrt(r15032, r15031, MPFR_RNDN);
        mpfr_div(r15033, r15028, r15032, MPFR_RNDN);
        mpfr_div(r15034, r15033, r15027, MPFR_RNDN);
        mpfr_sqr(r15035, r15034, MPFR_RNDN);
        return mpfr_get_d(r15035, MPFR_RNDN);
}

static mpfr_t r15036, r15037, r15038, r15039, r15040, r15041, r15042, r15043, r15044;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15036);
        mpfr_init(r15037);
        mpfr_init_set_str(r15038, "1", 10, MPFR_RNDN);
        mpfr_init(r15039);
        mpfr_init(r15040);
        mpfr_init(r15041);
        mpfr_init(r15042);
        mpfr_init(r15043);
        mpfr_init(r15044);
}

double f_dm(double x) {
        mpfr_set_d(r15036, x, MPFR_RNDN);
        mpfr_sin(r15037, r15036, MPFR_RNDN);
        ;
        mpfr_cos(r15039, r15036, MPFR_RNDN);
        mpfr_add(r15040, r15038, r15039, MPFR_RNDN);
        mpfr_sqrt(r15041, r15040, MPFR_RNDN);
        mpfr_div(r15042, r15037, r15041, MPFR_RNDN);
        mpfr_div(r15043, r15042, r15036, MPFR_RNDN);
        mpfr_sqr(r15044, r15043, MPFR_RNDN);
        return mpfr_get_d(r15044, MPFR_RNDN);
}