#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 r14983 = 1.0f;
        float r14984 = x;
        float r14985 = cos(r14984);
        float r14986 = r14983 - r14985;
        float r14987 = r14984 * r14984;
        float r14988 = r14986 / r14987;
        return r14988;
}

double f_id(double x) {
        double r14989 = 1.0;
        double r14990 = x;
        double r14991 = cos(r14990);
        double r14992 = r14989 - r14991;
        double r14993 = r14990 * r14990;
        double r14994 = r14992 / r14993;
        return r14994;
}


double f_of(float x) {
        float r14995 = x;
        float r14996 = -2.0926544674404998e-09f;
        bool r14997 = r14995 <= r14996;
        float r14998 = 1.0f;
        float r14999 = r14998 / r14995;
        float r15000 = sin(r14995);
        float r15001 = r15000 * r15000;
        float r15002 = cos(r14995);
        float r15003 = r14998 + r15002;
        float r15004 = r15001 / r15003;
        float r15005 = r15004 / r14995;
        float r15006 = r14999 * r15005;
        float r15007 = 6.840282922734168f;
        bool r15008 = r14995 <= r15007;
        float r15009 = 0.001388888888888889f;
        float r15010 = 4.0f;
        float r15011 = pow(r14995, r15010);
        float r15012 = r15009 * r15011;
        float r15013 = 0.5f;
        float r15014 = r15012 + r15013;
        float r15015 = 0.041666666666666664f;
        float r15016 = r14995 * r14995;
        float r15017 = r15015 * r15016;
        float r15018 = r15014 - r15017;
        float r15019 = r15008 ? r15018 : r15006;
        float r15020 = r14997 ? r15006 : r15019;
        return r15020;
}

double f_od(double x) {
        double r15021 = x;
        double r15022 = -2.0926544674404998e-09;
        bool r15023 = r15021 <= r15022;
        double r15024 = 1.0;
        double r15025 = r15024 / r15021;
        double r15026 = sin(r15021);
        double r15027 = r15026 * r15026;
        double r15028 = cos(r15021);
        double r15029 = r15024 + r15028;
        double r15030 = r15027 / r15029;
        double r15031 = r15030 / r15021;
        double r15032 = r15025 * r15031;
        double r15033 = 6.840282922734168;
        bool r15034 = r15021 <= r15033;
        double r15035 = 0.001388888888888889;
        double r15036 = 4.0;
        double r15037 = pow(r15021, r15036);
        double r15038 = r15035 * r15037;
        double r15039 = 0.5;
        double r15040 = r15038 + r15039;
        double r15041 = 0.041666666666666664;
        double r15042 = r15021 * r15021;
        double r15043 = r15041 * r15042;
        double r15044 = r15040 - r15043;
        double r15045 = r15034 ? r15044 : r15032;
        double r15046 = r15023 ? r15032 : r15045;
        return r15046;
}

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 r15047, r15048, r15049, r15050, r15051, r15052;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15047, "1", 10, MPFR_RNDN);
        mpfr_init(r15048);
        mpfr_init(r15049);
        mpfr_init(r15050);
        mpfr_init(r15051);
        mpfr_init(r15052);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15048, x, MPFR_RNDN);
        mpfr_cos(r15049, r15048, MPFR_RNDN);
        mpfr_sub(r15050, r15047, r15049, MPFR_RNDN);
        mpfr_sqr(r15051, r15048, MPFR_RNDN);
        mpfr_div(r15052, r15050, r15051, MPFR_RNDN);
        return mpfr_get_d(r15052, MPFR_RNDN);
}

static mpfr_t r15053, r15054, r15055, r15056, r15057, r15058, r15059, r15060, r15061, r15062, r15063, r15064, r15065, r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076, r15077, r15078;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15053);
        mpfr_init_set_str(r15054, "-2.0926544674404998e-09", 10, MPFR_RNDN);
        mpfr_init(r15055);
        mpfr_init_set_str(r15056, "1", 10, MPFR_RNDN);
        mpfr_init(r15057);
        mpfr_init(r15058);
        mpfr_init(r15059);
        mpfr_init(r15060);
        mpfr_init(r15061);
        mpfr_init(r15062);
        mpfr_init(r15063);
        mpfr_init(r15064);
        mpfr_init_set_str(r15065, "6.840282922734168", 10, MPFR_RNDN);
        mpfr_init(r15066);
        mpfr_init_set_str(r15067, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15068, "4", 10, MPFR_RNDN);
        mpfr_init(r15069);
        mpfr_init(r15070);
        mpfr_init_set_str(r15071, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15072);
        mpfr_init_set_str(r15073, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15074);
        mpfr_init(r15075);
        mpfr_init(r15076);
        mpfr_init(r15077);
        mpfr_init(r15078);
}

double f_fm(double x) {
        mpfr_set_d(r15053, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15055, mpfr_cmp(r15053, r15054) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r15057, r15056, r15053, MPFR_RNDN);
        mpfr_sin(r15058, r15053, MPFR_RNDN);
        mpfr_sqr(r15059, r15058, MPFR_RNDN);
        mpfr_cos(r15060, r15053, MPFR_RNDN);
        mpfr_add(r15061, r15056, r15060, MPFR_RNDN);
        mpfr_div(r15062, r15059, r15061, MPFR_RNDN);
        mpfr_div(r15063, r15062, r15053, MPFR_RNDN);
        mpfr_mul(r15064, r15057, r15063, MPFR_RNDN);
        ;
        mpfr_set_si(r15066, mpfr_cmp(r15053, r15065) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15069, r15053, r15068, MPFR_RNDN);
        mpfr_mul(r15070, r15067, r15069, MPFR_RNDN);
        ;
        mpfr_add(r15072, r15070, r15071, MPFR_RNDN);
        ;
        mpfr_sqr(r15074, r15053, MPFR_RNDN);
        mpfr_mul(r15075, r15073, r15074, MPFR_RNDN);
        mpfr_sub(r15076, r15072, r15075, MPFR_RNDN);
        if (mpfr_get_si(r15066, MPFR_RNDN)) { mpfr_set(r15077, r15076, MPFR_RNDN); } else { mpfr_set(r15077, r15064, MPFR_RNDN); };
        if (mpfr_get_si(r15055, MPFR_RNDN)) { mpfr_set(r15078, r15064, MPFR_RNDN); } else { mpfr_set(r15078, r15077, MPFR_RNDN); };
        return mpfr_get_d(r15078, MPFR_RNDN);
}

static mpfr_t r15079, r15080, r15081, r15082, r15083, r15084, r15085, r15086, r15087, r15088, r15089, r15090, r15091, r15092, r15093, r15094, r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103, r15104;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15079);
        mpfr_init_set_str(r15080, "-2.0926544674404998e-09", 10, MPFR_RNDN);
        mpfr_init(r15081);
        mpfr_init_set_str(r15082, "1", 10, MPFR_RNDN);
        mpfr_init(r15083);
        mpfr_init(r15084);
        mpfr_init(r15085);
        mpfr_init(r15086);
        mpfr_init(r15087);
        mpfr_init(r15088);
        mpfr_init(r15089);
        mpfr_init(r15090);
        mpfr_init_set_str(r15091, "6.840282922734168", 10, MPFR_RNDN);
        mpfr_init(r15092);
        mpfr_init_set_str(r15093, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15094, "4", 10, MPFR_RNDN);
        mpfr_init(r15095);
        mpfr_init(r15096);
        mpfr_init_set_str(r15097, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15098);
        mpfr_init_set_str(r15099, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15100);
        mpfr_init(r15101);
        mpfr_init(r15102);
        mpfr_init(r15103);
        mpfr_init(r15104);
}

double f_dm(double x) {
        mpfr_set_d(r15079, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15081, mpfr_cmp(r15079, r15080) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r15083, r15082, r15079, MPFR_RNDN);
        mpfr_sin(r15084, r15079, MPFR_RNDN);
        mpfr_sqr(r15085, r15084, MPFR_RNDN);
        mpfr_cos(r15086, r15079, MPFR_RNDN);
        mpfr_add(r15087, r15082, r15086, MPFR_RNDN);
        mpfr_div(r15088, r15085, r15087, MPFR_RNDN);
        mpfr_div(r15089, r15088, r15079, MPFR_RNDN);
        mpfr_mul(r15090, r15083, r15089, MPFR_RNDN);
        ;
        mpfr_set_si(r15092, mpfr_cmp(r15079, r15091) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15095, r15079, r15094, MPFR_RNDN);
        mpfr_mul(r15096, r15093, r15095, MPFR_RNDN);
        ;
        mpfr_add(r15098, r15096, r15097, MPFR_RNDN);
        ;
        mpfr_sqr(r15100, r15079, MPFR_RNDN);
        mpfr_mul(r15101, r15099, r15100, MPFR_RNDN);
        mpfr_sub(r15102, r15098, r15101, MPFR_RNDN);
        if (mpfr_get_si(r15092, MPFR_RNDN)) { mpfr_set(r15103, r15102, MPFR_RNDN); } else { mpfr_set(r15103, r15090, MPFR_RNDN); };
        if (mpfr_get_si(r15081, MPFR_RNDN)) { mpfr_set(r15104, r15090, MPFR_RNDN); } else { mpfr_set(r15104, r15103, MPFR_RNDN); };
        return mpfr_get_d(r15104, MPFR_RNDN);
}

