#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 r14987 = 1.0f;
        float r14988 = x;
        float r14989 = cos(r14988);
        float r14990 = r14987 - r14989;
        float r14991 = r14988 * r14988;
        float r14992 = r14990 / r14991;
        return r14992;
}

double f_id(double x) {
        double r14993 = 1.0;
        double r14994 = x;
        double r14995 = cos(r14994);
        double r14996 = r14993 - r14995;
        double r14997 = r14994 * r14994;
        double r14998 = r14996 / r14997;
        return r14998;
}


double f_of(float x) {
        float r14999 = x;
        float r15000 = sin(r14999);
        float r15001 = r15000 / r14999;
        float r15002 = cos(r14999);
        float r15003 = r15002 * r14999;
        float r15004 = r15003 + r14999;
        float r15005 = r15000 / r15004;
        float r15006 = r15001 * r15005;
        return r15006;
}

double f_od(double x) {
        double r15007 = x;
        double r15008 = sin(r15007);
        double r15009 = r15008 / r15007;
        double r15010 = cos(r15007);
        double r15011 = r15010 * r15007;
        double r15012 = r15011 + r15007;
        double r15013 = r15008 / r15012;
        double r15014 = r15009 * r15013;
        return r15014;
}

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 r15015, r15016, r15017, r15018, r15019, r15020;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15015, "1", 10, MPFR_RNDN);
        mpfr_init(r15016);
        mpfr_init(r15017);
        mpfr_init(r15018);
        mpfr_init(r15019);
        mpfr_init(r15020);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15016, x, MPFR_RNDN);
        mpfr_cos(r15017, r15016, MPFR_RNDN);
        mpfr_sub(r15018, r15015, r15017, MPFR_RNDN);
        mpfr_sqr(r15019, r15016, MPFR_RNDN);
        mpfr_div(r15020, r15018, r15019, MPFR_RNDN);
        return mpfr_get_d(r15020, MPFR_RNDN);
}

static mpfr_t r15021, r15022, r15023, r15024, r15025, r15026, r15027, r15028;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15021);
        mpfr_init(r15022);
        mpfr_init(r15023);
        mpfr_init(r15024);
        mpfr_init(r15025);
        mpfr_init(r15026);
        mpfr_init(r15027);
        mpfr_init(r15028);
}

double f_fm(double x) {
        mpfr_set_d(r15021, x, MPFR_RNDN);
        mpfr_sin(r15022, r15021, MPFR_RNDN);
        mpfr_div(r15023, r15022, r15021, MPFR_RNDN);
        mpfr_cos(r15024, r15021, MPFR_RNDN);
        mpfr_mul(r15025, r15024, r15021, MPFR_RNDN);
        mpfr_add(r15026, r15025, r15021, MPFR_RNDN);
        mpfr_div(r15027, r15022, r15026, MPFR_RNDN);
        mpfr_mul(r15028, r15023, r15027, MPFR_RNDN);
        return mpfr_get_d(r15028, MPFR_RNDN);
}

static mpfr_t r15029, r15030, r15031, r15032, r15033, r15034, r15035, r15036;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15029);
        mpfr_init(r15030);
        mpfr_init(r15031);
        mpfr_init(r15032);
        mpfr_init(r15033);
        mpfr_init(r15034);
        mpfr_init(r15035);
        mpfr_init(r15036);
}

double f_dm(double x) {
        mpfr_set_d(r15029, x, MPFR_RNDN);
        mpfr_sin(r15030, r15029, MPFR_RNDN);
        mpfr_div(r15031, r15030, r15029, MPFR_RNDN);
        mpfr_cos(r15032, r15029, MPFR_RNDN);
        mpfr_mul(r15033, r15032, r15029, MPFR_RNDN);
        mpfr_add(r15034, r15033, r15029, MPFR_RNDN);
        mpfr_div(r15035, r15030, r15034, MPFR_RNDN);
        mpfr_mul(r15036, r15031, r15035, MPFR_RNDN);
        return mpfr_get_d(r15036, MPFR_RNDN);
}