#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 r15055 = 1.0f;
        float r15056 = x;
        float r15057 = cos(r15056);
        float r15058 = r15055 - r15057;
        float r15059 = r15056 * r15056;
        float r15060 = r15058 / r15059;
        return r15060;
}

double f_id(double x) {
        double r15061 = 1.0;
        double r15062 = x;
        double r15063 = cos(r15062);
        double r15064 = r15061 - r15063;
        double r15065 = r15062 * r15062;
        double r15066 = r15064 / r15065;
        return r15066;
}


double f_of(float x) {
        float r15067 = x;
        float r15068 = sin(r15067);
        float r15069 = 1.0f;
        float r15070 = cos(r15067);
        float r15071 = r15069 + r15070;
        float r15072 = sqrt(r15071);
        float r15073 = r15068 / r15072;
        float r15074 = r15073 / r15067;
        float r15075 = r15074 * r15074;
        return r15075;
}

double f_od(double x) {
        double r15076 = x;
        double r15077 = sin(r15076);
        double r15078 = 1.0;
        double r15079 = cos(r15076);
        double r15080 = r15078 + r15079;
        double r15081 = sqrt(r15080);
        double r15082 = r15077 / r15081;
        double r15083 = r15082 / r15076;
        double r15084 = r15083 * r15083;
        return r15084;
}

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 r15085, r15086, r15087, r15088, r15089, r15090;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15085, "1", 10, MPFR_RNDN);
        mpfr_init(r15086);
        mpfr_init(r15087);
        mpfr_init(r15088);
        mpfr_init(r15089);
        mpfr_init(r15090);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15086, x, MPFR_RNDN);
        mpfr_cos(r15087, r15086, MPFR_RNDN);
        mpfr_sub(r15088, r15085, r15087, MPFR_RNDN);
        mpfr_sqr(r15089, r15086, MPFR_RNDN);
        mpfr_div(r15090, r15088, r15089, MPFR_RNDN);
        return mpfr_get_d(r15090, MPFR_RNDN);
}

static mpfr_t r15091, r15092, r15093, r15094, r15095, r15096, r15097, r15098, r15099;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15091);
        mpfr_init(r15092);
        mpfr_init_set_str(r15093, "1", 10, MPFR_RNDN);
        mpfr_init(r15094);
        mpfr_init(r15095);
        mpfr_init(r15096);
        mpfr_init(r15097);
        mpfr_init(r15098);
        mpfr_init(r15099);
}

double f_fm(double x) {
        mpfr_set_d(r15091, x, MPFR_RNDN);
        mpfr_sin(r15092, r15091, MPFR_RNDN);
        ;
        mpfr_cos(r15094, r15091, MPFR_RNDN);
        mpfr_add(r15095, r15093, r15094, MPFR_RNDN);
        mpfr_sqrt(r15096, r15095, MPFR_RNDN);
        mpfr_div(r15097, r15092, r15096, MPFR_RNDN);
        mpfr_div(r15098, r15097, r15091, MPFR_RNDN);
        mpfr_sqr(r15099, r15098, MPFR_RNDN);
        return mpfr_get_d(r15099, MPFR_RNDN);
}

static mpfr_t r15100, r15101, r15102, r15103, r15104, r15105, r15106, r15107, r15108;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15100);
        mpfr_init(r15101);
        mpfr_init_set_str(r15102, "1", 10, MPFR_RNDN);
        mpfr_init(r15103);
        mpfr_init(r15104);
        mpfr_init(r15105);
        mpfr_init(r15106);
        mpfr_init(r15107);
        mpfr_init(r15108);
}

double f_dm(double x) {
        mpfr_set_d(r15100, x, MPFR_RNDN);
        mpfr_sin(r15101, r15100, MPFR_RNDN);
        ;
        mpfr_cos(r15103, r15100, MPFR_RNDN);
        mpfr_add(r15104, r15102, r15103, MPFR_RNDN);
        mpfr_sqrt(r15105, r15104, MPFR_RNDN);
        mpfr_div(r15106, r15101, r15105, MPFR_RNDN);
        mpfr_div(r15107, r15106, r15100, MPFR_RNDN);
        mpfr_sqr(r15108, r15107, MPFR_RNDN);
        return mpfr_get_d(r15108, MPFR_RNDN);
}