#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 = -0.2356608510017395f;
        bool r14993 = r14991 <= r14992;
        float r14994 = 1.0f;
        float r14995 = r14994 / r14991;
        float r14996 = cos(r14991);
        float r14997 = r14994 - r14996;
        float r14998 = r14997 / r14991;
        float r14999 = r14995 * r14998;
        float r15000 = 0.5589792728424072f;
        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 = sin(r14991);
        float r15013 = r15012 * r15012;
        float r15014 = r14994 + r14996;
        float r15015 = r15013 / r15014;
        float r15016 = sqrt(r15015);
        float r15017 = r15016 / r14991;
        float r15018 = r15017 * r15017;
        float r15019 = r15001 ? r15011 : r15018;
        float r15020 = r14993 ? r14999 : r15019;
        return r15020;
}

double f_od(double x) {
        double r15021 = x;
        double r15022 = -0.2356608510017395;
        bool r15023 = r15021 <= r15022;
        double r15024 = 1.0;
        double r15025 = r15024 / r15021;
        double r15026 = cos(r15021);
        double r15027 = r15024 - r15026;
        double r15028 = r15027 / r15021;
        double r15029 = r15025 * r15028;
        double r15030 = 0.5589792728424072;
        bool r15031 = r15021 <= r15030;
        double r15032 = 0.0013888889225199819;
        double r15033 = 4.0;
        double r15034 = pow(r15021, r15033);
        double r15035 = r15032 * r15034;
        double r15036 = 0.5;
        double r15037 = r15035 + r15036;
        double r15038 = 0.0416666679084301;
        double r15039 = r15021 * r15021;
        double r15040 = r15038 * r15039;
        double r15041 = r15037 - r15040;
        double r15042 = sin(r15021);
        double r15043 = r15042 * r15042;
        double r15044 = r15024 + r15026;
        double r15045 = r15043 / r15044;
        double r15046 = sqrt(r15045);
        double r15047 = r15046 / r15021;
        double r15048 = r15047 * r15047;
        double r15049 = r15031 ? r15041 : r15048;
        double r15050 = r15023 ? r15029 : r15049;
        return r15050;
}

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 r15051, r15052, r15053, r15054, r15055, r15056;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15051, "1", 10, MPFR_RNDN);
        mpfr_init(r15052);
        mpfr_init(r15053);
        mpfr_init(r15054);
        mpfr_init(r15055);
        mpfr_init(r15056);
}

double f_im(double x) {
        ;
        mpfr_set_d(r15052, x, MPFR_RNDN);
        mpfr_cos(r15053, r15052, MPFR_RNDN);
        mpfr_sub(r15054, r15051, r15053, MPFR_RNDN);
        mpfr_sqr(r15055, r15052, MPFR_RNDN);
        mpfr_div(r15056, r15054, r15055, MPFR_RNDN);
        return mpfr_get_d(r15056, MPFR_RNDN);
}

static mpfr_t r15057, r15058, r15059, r15060, r15061, r15062, r15063, r15064, r15065, r15066, r15067, r15068, r15069, r15070, r15071, r15072, r15073, r15074, r15075, r15076, r15077, r15078, r15079, r15080, r15081, r15082, r15083, r15084, r15085, r15086;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15057);
        mpfr_init_set_str(r15058, "-0.23566085f0", 10, MPFR_RNDN);
        mpfr_init(r15059);
        mpfr_init_set_str(r15060, "1", 10, MPFR_RNDN);
        mpfr_init(r15061);
        mpfr_init(r15062);
        mpfr_init(r15063);
        mpfr_init(r15064);
        mpfr_init(r15065);
        mpfr_init_set_str(r15066, "0.5589793f0", 10, MPFR_RNDN);
        mpfr_init(r15067);
        mpfr_init_set_str(r15068, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15069, "4", 10, MPFR_RNDN);
        mpfr_init(r15070);
        mpfr_init(r15071);
        mpfr_init_set_str(r15072, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15073);
        mpfr_init_set_str(r15074, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15075);
        mpfr_init(r15076);
        mpfr_init(r15077);
        mpfr_init(r15078);
        mpfr_init(r15079);
        mpfr_init(r15080);
        mpfr_init(r15081);
        mpfr_init(r15082);
        mpfr_init(r15083);
        mpfr_init(r15084);
        mpfr_init(r15085);
        mpfr_init(r15086);
}

double f_fm(double x) {
        mpfr_set_d(r15057, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15059, mpfr_cmp(r15057, r15058) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r15061, r15060, r15057, MPFR_RNDN);
        mpfr_cos(r15062, r15057, MPFR_RNDN);
        mpfr_sub(r15063, r15060, r15062, MPFR_RNDN);
        mpfr_div(r15064, r15063, r15057, MPFR_RNDN);
        mpfr_mul(r15065, r15061, r15064, MPFR_RNDN);
        ;
        mpfr_set_si(r15067, mpfr_cmp(r15057, r15066) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15070, r15057, r15069, MPFR_RNDN);
        mpfr_mul(r15071, r15068, r15070, MPFR_RNDN);
        ;
        mpfr_add(r15073, r15071, r15072, MPFR_RNDN);
        ;
        mpfr_sqr(r15075, r15057, MPFR_RNDN);
        mpfr_mul(r15076, r15074, r15075, MPFR_RNDN);
        mpfr_sub(r15077, r15073, r15076, MPFR_RNDN);
        mpfr_sin(r15078, r15057, MPFR_RNDN);
        mpfr_sqr(r15079, r15078, MPFR_RNDN);
        mpfr_add(r15080, r15060, r15062, MPFR_RNDN);
        mpfr_div(r15081, r15079, r15080, MPFR_RNDN);
        mpfr_sqrt(r15082, r15081, MPFR_RNDN);
        mpfr_div(r15083, r15082, r15057, MPFR_RNDN);
        mpfr_sqr(r15084, r15083, MPFR_RNDN);
        if (mpfr_get_si(r15067, MPFR_RNDN)) { mpfr_set(r15085, r15077, MPFR_RNDN); } else { mpfr_set(r15085, r15084, MPFR_RNDN); };
        if (mpfr_get_si(r15059, MPFR_RNDN)) { mpfr_set(r15086, r15065, MPFR_RNDN); } else { mpfr_set(r15086, r15085, MPFR_RNDN); };
        return mpfr_get_d(r15086, MPFR_RNDN);
}

static mpfr_t r15087, r15088, r15089, r15090, r15091, r15092, r15093, r15094, r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103, r15104, r15105, r15106, r15107, r15108, r15109, r15110, r15111, r15112, r15113, r15114, r15115, r15116;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15087);
        mpfr_init_set_str(r15088, "-0.23566085f0", 10, MPFR_RNDN);
        mpfr_init(r15089);
        mpfr_init_set_str(r15090, "1", 10, MPFR_RNDN);
        mpfr_init(r15091);
        mpfr_init(r15092);
        mpfr_init(r15093);
        mpfr_init(r15094);
        mpfr_init(r15095);
        mpfr_init_set_str(r15096, "0.5589793f0", 10, MPFR_RNDN);
        mpfr_init(r15097);
        mpfr_init_set_str(r15098, "1/720", 10, MPFR_RNDN);
        mpfr_init_set_str(r15099, "4", 10, MPFR_RNDN);
        mpfr_init(r15100);
        mpfr_init(r15101);
        mpfr_init_set_str(r15102, "1/2", 10, MPFR_RNDN);
        mpfr_init(r15103);
        mpfr_init_set_str(r15104, "1/24", 10, MPFR_RNDN);
        mpfr_init(r15105);
        mpfr_init(r15106);
        mpfr_init(r15107);
        mpfr_init(r15108);
        mpfr_init(r15109);
        mpfr_init(r15110);
        mpfr_init(r15111);
        mpfr_init(r15112);
        mpfr_init(r15113);
        mpfr_init(r15114);
        mpfr_init(r15115);
        mpfr_init(r15116);
}

double f_dm(double x) {
        mpfr_set_d(r15087, x, MPFR_RNDN);
        ;
        mpfr_set_si(r15089, mpfr_cmp(r15087, r15088) <= 0, MPFR_RNDN);
        ;
        mpfr_div(r15091, r15090, r15087, MPFR_RNDN);
        mpfr_cos(r15092, r15087, MPFR_RNDN);
        mpfr_sub(r15093, r15090, r15092, MPFR_RNDN);
        mpfr_div(r15094, r15093, r15087, MPFR_RNDN);
        mpfr_mul(r15095, r15091, r15094, MPFR_RNDN);
        ;
        mpfr_set_si(r15097, mpfr_cmp(r15087, r15096) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_pow(r15100, r15087, r15099, MPFR_RNDN);
        mpfr_mul(r15101, r15098, r15100, MPFR_RNDN);
        ;
        mpfr_add(r15103, r15101, r15102, MPFR_RNDN);
        ;
        mpfr_sqr(r15105, r15087, MPFR_RNDN);
        mpfr_mul(r15106, r15104, r15105, MPFR_RNDN);
        mpfr_sub(r15107, r15103, r15106, MPFR_RNDN);
        mpfr_sin(r15108, r15087, MPFR_RNDN);
        mpfr_sqr(r15109, r15108, MPFR_RNDN);
        mpfr_add(r15110, r15090, r15092, MPFR_RNDN);
        mpfr_div(r15111, r15109, r15110, MPFR_RNDN);
        mpfr_sqrt(r15112, r15111, MPFR_RNDN);
        mpfr_div(r15113, r15112, r15087, MPFR_RNDN);
        mpfr_sqr(r15114, r15113, MPFR_RNDN);
        if (mpfr_get_si(r15097, MPFR_RNDN)) { mpfr_set(r15115, r15107, MPFR_RNDN); } else { mpfr_set(r15115, r15114, MPFR_RNDN); };
        if (mpfr_get_si(r15089, MPFR_RNDN)) { mpfr_set(r15116, r15095, MPFR_RNDN); } else { mpfr_set(r15116, r15115, MPFR_RNDN); };
        return mpfr_get_d(r15116, MPFR_RNDN);
}

