#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 r14979 = 1.0f;
        float r14980 = x;
        float r14981 = cos(r14980);
        float r14982 = r14979 - r14981;
        float r14983 = r14980 * r14980;
        float r14984 = r14982 / r14983;
        return r14984;
}

double f_id(double x) {
        double r14985 = 1.0;
        double r14986 = x;
        double r14987 = cos(r14986);
        double r14988 = r14985 - r14987;
        double r14989 = r14986 * r14986;
        double r14990 = r14988 / r14989;
        return r14990;
}


double f_of(float x) {
        float r14991 = x;
        float r14992 = -0.0053210509940981865f;
        bool r14993 = r14991 <= r14992;
        float r14994 = 1.0f;
        float r14995 = cos(r14991);
        float r14996 = r14994 - r14995;
        float r14997 = sqrt(r14996);
        float r14998 = r14997 / r14991;
        float r14999 = r14998 * r14998;
        float r15000 = 0.4896027445793152f;
        bool r15001 = r14991 <= r15000;
        float r15002 = 0.0013888889225199819f;
        float r15003 = 4.0f;
        float r15004 = pow(r14991, r15003);
        float r15005 = r15002 * r15004;
        float r15006 = 0.5f;
        float r15007 = r15005 + r15006;
        float r15008 = 0.0416666679084301f;
        float r15009 = r14991 * r14991;
        float r15010 = r15008 * r15009;
        float r15011 = r15007 - r15010;
        float r15012 = r15001 ? r15011 : r14999;
        float r15013 = r14993 ? r14999 : r15012;
        return r15013;
}

double f_od(double x) {
        double r15014 = x;
        double r15015 = -0.0053210509940981865;
        bool r15016 = r15014 <= r15015;
        double r15017 = 1.0;
        double r15018 = cos(r15014);
        double r15019 = r15017 - r15018;
        double r15020 = sqrt(r15019);
        double r15021 = r15020 / r15014;
        double r15022 = r15021 * r15021;
        double r15023 = 0.4896027445793152;
        bool r15024 = r15014 <= r15023;
        double r15025 = 0.0013888889225199819;
        double r15026 = 4.0;
        double r15027 = pow(r15014, r15026);
        double r15028 = r15025 * r15027;
        double r15029 = 0.5;
        double r15030 = r15028 + r15029;
        double r15031 = 0.0416666679084301;
        double r15032 = r15014 * r15014;
        double r15033 = r15031 * r15032;
        double r15034 = r15030 - r15033;
        double r15035 = r15024 ? r15034 : r15022;
        double r15036 = r15016 ? r15022 : r15035;
        return r15036;
}

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 r15037, r15038, r15039, r15040, r15041, r15042;

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

double f_im(double x) {
        ;
        mpfr_set_d(r15038, x, MPFR_RNDN);
        mpfr_cos(r15039, r15038, MPFR_RNDN);
        mpfr_sub(r15040, r15037, r15039, MPFR_RNDN);
        mpfr_sqr(r15041, r15038, MPFR_RNDN);
        mpfr_div(r15042, r15040, r15041, MPFR_RNDN);
        return mpfr_get_d(r15042, MPFR_RNDN);
}

static mpfr_t r15043, r15044, r15045, r15046, r15047, r15048, r15049, r15050, r15051, r15052, r15053, r15054, r15055, r15056, r15057, r15058, r15059, r15060, r15061, r15062, r15063, r15064, r15065;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15043);
        mpfr_init_set_str(r15044, "-0.005321051f0", 10, MPFR_RNDN);
        mpfr_init(r15045);
        mpfr_init_set_str(r15046, "1", 10, MPFR_RNDN);
        mpfr_init(r15047);
        mpfr_init(r15048);
        mpfr_init(r15049);
        mpfr_init(r15050);
        mpfr_init(r15051);
        mpfr_init_set_str(r15052, "0.48960274f0", 10, MPFR_RNDN);
        mpfr_init(r15053);
        mpfr_init_set_str(r15054, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15055, "4", 10, MPFR_RNDN);
        mpfr_init(r15056);
        mpfr_init(r15057);
        mpfr_init_set_str(r15058, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15059);
        mpfr_init_set_str(r15060, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15061);
        mpfr_init(r15062);
        mpfr_init(r15063);
        mpfr_init(r15064);
        mpfr_init(r15065);
}

double f_fm(double x) {
        mpfr_set_d(r15043, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15045, mpfr_cmp(r15043, r15044) <= 0, MPFR_RNDN);
        ;
        mpfr_cos(r15047, r15043, MPFR_RNDN);
        mpfr_sub(r15048, r15046, r15047, MPFR_RNDN);
        mpfr_sqrt(r15049, r15048, MPFR_RNDN);
        mpfr_div(r15050, r15049, r15043, MPFR_RNDN);
        mpfr_sqr(r15051, r15050, MPFR_RNDN);
        ;
        mpfr_set_si(r15053, mpfr_cmp(r15043, r15052) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15056, r15043, r15055, MPFR_RNDN);
        mpfr_mul(r15057, r15054, r15056, MPFR_RNDN);
        ;
        mpfr_add(r15059, r15057, r15058, MPFR_RNDN);
        ;
        mpfr_sqr(r15061, r15043, MPFR_RNDN);
        mpfr_mul(r15062, r15060, r15061, MPFR_RNDN);
        mpfr_sub(r15063, r15059, r15062, MPFR_RNDN);
        if (mpfr_get_si(r15053, MPFR_RNDN)) { mpfr_set(r15064, r15063, MPFR_RNDN); } else { mpfr_set(r15064, r15051, MPFR_RNDN); };
        if (mpfr_get_si(r15045, MPFR_RNDN)) { mpfr_set(r15065, r15051, MPFR_RNDN); } else { mpfr_set(r15065, r15064, MPFR_RNDN); };
        return mpfr_get_d(r15065, MPFR_RNDN);
}

static mpfr_t r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076, r15077, r15078, r15079, r15080, r15081, r15082, r15083, r15084, r15085, r15086, r15087, r15088;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15066);
        mpfr_init_set_str(r15067, "-0.005321051f0", 10, MPFR_RNDN);
        mpfr_init(r15068);
        mpfr_init_set_str(r15069, "1", 10, MPFR_RNDN);
        mpfr_init(r15070);
        mpfr_init(r15071);
        mpfr_init(r15072);
        mpfr_init(r15073);
        mpfr_init(r15074);
        mpfr_init_set_str(r15075, "0.48960274f0", 10, MPFR_RNDN);
        mpfr_init(r15076);
        mpfr_init_set_str(r15077, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15078, "4", 10, MPFR_RNDN);
        mpfr_init(r15079);
        mpfr_init(r15080);
        mpfr_init_set_str(r15081, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15082);
        mpfr_init_set_str(r15083, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15084);
        mpfr_init(r15085);
        mpfr_init(r15086);
        mpfr_init(r15087);
        mpfr_init(r15088);
}

double f_dm(double x) {
        mpfr_set_d(r15066, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15068, mpfr_cmp(r15066, r15067) <= 0, MPFR_RNDN);
        ;
        mpfr_cos(r15070, r15066, MPFR_RNDN);
        mpfr_sub(r15071, r15069, r15070, MPFR_RNDN);
        mpfr_sqrt(r15072, r15071, MPFR_RNDN);
        mpfr_div(r15073, r15072, r15066, MPFR_RNDN);
        mpfr_sqr(r15074, r15073, MPFR_RNDN);
        ;
        mpfr_set_si(r15076, mpfr_cmp(r15066, r15075) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15079, r15066, r15078, MPFR_RNDN);
        mpfr_mul(r15080, r15077, r15079, MPFR_RNDN);
        ;
        mpfr_add(r15082, r15080, r15081, MPFR_RNDN);
        ;
        mpfr_sqr(r15084, r15066, MPFR_RNDN);
        mpfr_mul(r15085, r15083, r15084, MPFR_RNDN);
        mpfr_sub(r15086, r15082, r15085, MPFR_RNDN);
        if (mpfr_get_si(r15076, MPFR_RNDN)) { mpfr_set(r15087, r15086, MPFR_RNDN); } else { mpfr_set(r15087, r15074, MPFR_RNDN); };
        if (mpfr_get_si(r15068, MPFR_RNDN)) { mpfr_set(r15088, r15074, MPFR_RNDN); } else { mpfr_set(r15088, r15087, MPFR_RNDN); };
        return mpfr_get_d(r15088, MPFR_RNDN);
}

