#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "2cos (problem 3.3.5)";

double f_if(float x, float eps) {
        float r23038 = x;
        float r23039 = eps;
        float r23040 = r23038 + r23039;
        float r23041 = cos(r23040);
        float r23042 = cos(r23038);
        float r23043 = r23041 - r23042;
        return r23043;
}

double f_id(double x, double eps) {
        double r23044 = x;
        double r23045 = eps;
        double r23046 = r23044 + r23045;
        double r23047 = cos(r23046);
        double r23048 = cos(r23044);
        double r23049 = r23047 - r23048;
        return r23049;
}


double f_of(float x, float eps) {
        float r23050 = x;
        float r23051 = cos(r23050);
        float r23052 = eps;
        float r23053 = cos(r23052);
        float r23054 = r23051 * r23053;
        float r23055 = sin(r23050);
        float r23056 = sin(r23052);
        float r23057 = r23055 * r23056;
        float r23058 = r23054 - r23057;
        float r23059 = r23058 - r23051;
        float r23060 = -0.009368724273390971;
        bool r23061 = r23059 <= r23060;
        float r23062 = 7.174666341288986e-06;
        bool r23063 = r23059 <= r23062;
        float r23064 = -2;
        float r23065 = 2;
        float r23066 = r23052 / r23065;
        float r23067 = sin(r23066);
        float r23068 = r23052 + r23050;
        float r23069 = r23050 + r23068;
        float r23070 = r23069 / r23065;
        float r23071 = sin(r23070);
        float r23072 = r23067 * r23071;
        float r23073 = r23064 * r23072;
        float r23074 = log1p(r23073);
        float r23075 = expm1(r23074);
        float r23076 = fma(r23056, r23055, r23051);
        float r23077 = r23054 - r23076;
        float r23078 = r23063 ? r23075 : r23077;
        float r23079 = r23061 ? r23059 : r23078;
        return r23079;
}

double f_od(double x, double eps) {
        double r23080 = x;
        double r23081 = cos(r23080);
        double r23082 = eps;
        double r23083 = cos(r23082);
        double r23084 = r23081 * r23083;
        double r23085 = sin(r23080);
        double r23086 = sin(r23082);
        double r23087 = r23085 * r23086;
        double r23088 = r23084 - r23087;
        double r23089 = r23088 - r23081;
        double r23090 = -0.009368724273390971;
        bool r23091 = r23089 <= r23090;
        double r23092 = 7.174666341288986e-06;
        bool r23093 = r23089 <= r23092;
        double r23094 = -2;
        double r23095 = 2;
        double r23096 = r23082 / r23095;
        double r23097 = sin(r23096);
        double r23098 = r23082 + r23080;
        double r23099 = r23080 + r23098;
        double r23100 = r23099 / r23095;
        double r23101 = sin(r23100);
        double r23102 = r23097 * r23101;
        double r23103 = r23094 * r23102;
        double r23104 = log1p(r23103);
        double r23105 = expm1(r23104);
        double r23106 = fma(r23086, r23085, r23081);
        double r23107 = r23084 - r23106;
        double r23108 = r23093 ? r23105 : r23107;
        double r23109 = r23091 ? r23089 : r23108;
        return r23109;
}

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 r23110, r23111, r23112, r23113, r23114, r23115;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(2384);
        mpfr_init(r23110);
        mpfr_init(r23111);
        mpfr_init(r23112);
        mpfr_init(r23113);
        mpfr_init(r23114);
        mpfr_init(r23115);
}

double f_im(double x, double eps) {
        mpfr_set_d(r23110, x, MPFR_RNDN);
        mpfr_set_d(r23111, eps, MPFR_RNDN);
        mpfr_add(r23112, r23110, r23111, MPFR_RNDN);
        mpfr_cos(r23113, r23112, MPFR_RNDN);
        mpfr_cos(r23114, r23110, MPFR_RNDN);
        mpfr_sub(r23115, r23113, r23114, MPFR_RNDN);
        return mpfr_get_d(r23115, MPFR_RNDN);
}

static mpfr_t r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136, r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(2384);
        mpfr_init(r23116);
        mpfr_init(r23117);
        mpfr_init(r23118);
        mpfr_init(r23119);
        mpfr_init(r23120);
        mpfr_init(r23121);
        mpfr_init(r23122);
        mpfr_init(r23123);
        mpfr_init(r23124);
        mpfr_init(r23125);
        mpfr_init_set_str(r23126, "-0.009368724273390971", 10, MPFR_RNDN);
        mpfr_init(r23127);
        mpfr_init_set_str(r23128, "7.174666341288986e-06", 10, MPFR_RNDN);
        mpfr_init(r23129);
        mpfr_init_set_str(r23130, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23131, "2", 10, MPFR_RNDN);
        mpfr_init(r23132);
        mpfr_init(r23133);
        mpfr_init(r23134);
        mpfr_init(r23135);
        mpfr_init(r23136);
        mpfr_init(r23137);
        mpfr_init(r23138);
        mpfr_init(r23139);
        mpfr_init(r23140);
        mpfr_init(r23141);
        mpfr_init(r23142);
        mpfr_init(r23143);
        mpfr_init(r23144);
        mpfr_init(r23145);
}

double f_fm(double x, double eps) {
        mpfr_set_d(r23116, x, MPFR_RNDN);
        mpfr_cos(r23117, r23116, MPFR_RNDN);
        mpfr_set_d(r23118, eps, MPFR_RNDN);
        mpfr_cos(r23119, r23118, MPFR_RNDN);
        mpfr_mul(r23120, r23117, r23119, MPFR_RNDN);
        mpfr_sin(r23121, r23116, MPFR_RNDN);
        mpfr_sin(r23122, r23118, MPFR_RNDN);
        mpfr_mul(r23123, r23121, r23122, MPFR_RNDN);
        mpfr_sub(r23124, r23120, r23123, MPFR_RNDN);
        mpfr_sub(r23125, r23124, r23117, MPFR_RNDN);
        ;
        mpfr_set_si(r23127, mpfr_cmp(r23125, r23126) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23129, mpfr_cmp(r23125, r23128) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23132, r23118, r23131, MPFR_RNDN);
        mpfr_sin(r23133, r23132, MPFR_RNDN);
        mpfr_add(r23134, r23118, r23116, MPFR_RNDN);
        mpfr_add(r23135, r23116, r23134, MPFR_RNDN);
        mpfr_div(r23136, r23135, r23131, MPFR_RNDN);
        mpfr_sin(r23137, r23136, MPFR_RNDN);
        mpfr_mul(r23138, r23133, r23137, MPFR_RNDN);
        mpfr_mul(r23139, r23130, r23138, MPFR_RNDN);
        mpfr_log1p(r23140, r23139, MPFR_RNDN);
        mpfr_expm1(r23141, r23140, MPFR_RNDN);
        mpfr_fma(r23142, r23122, r23121, r23117, MPFR_RNDN);
        mpfr_sub(r23143, r23120, r23142, MPFR_RNDN);
        if (mpfr_get_si(r23129, MPFR_RNDN)) { mpfr_set(r23144, r23141, MPFR_RNDN); } else { mpfr_set(r23144, r23143, MPFR_RNDN); };
        if (mpfr_get_si(r23127, MPFR_RNDN)) { mpfr_set(r23145, r23125, MPFR_RNDN); } else { mpfr_set(r23145, r23144, MPFR_RNDN); };
        return mpfr_get_d(r23145, MPFR_RNDN);
}

static mpfr_t r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162, r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(2384);
        mpfr_init(r23146);
        mpfr_init(r23147);
        mpfr_init(r23148);
        mpfr_init(r23149);
        mpfr_init(r23150);
        mpfr_init(r23151);
        mpfr_init(r23152);
        mpfr_init(r23153);
        mpfr_init(r23154);
        mpfr_init(r23155);
        mpfr_init_set_str(r23156, "-0.009368724273390971", 10, MPFR_RNDN);
        mpfr_init(r23157);
        mpfr_init_set_str(r23158, "7.174666341288986e-06", 10, MPFR_RNDN);
        mpfr_init(r23159);
        mpfr_init_set_str(r23160, "-2", 10, MPFR_RNDN);
        mpfr_init_set_str(r23161, "2", 10, MPFR_RNDN);
        mpfr_init(r23162);
        mpfr_init(r23163);
        mpfr_init(r23164);
        mpfr_init(r23165);
        mpfr_init(r23166);
        mpfr_init(r23167);
        mpfr_init(r23168);
        mpfr_init(r23169);
        mpfr_init(r23170);
        mpfr_init(r23171);
        mpfr_init(r23172);
        mpfr_init(r23173);
        mpfr_init(r23174);
        mpfr_init(r23175);
}

double f_dm(double x, double eps) {
        mpfr_set_d(r23146, x, MPFR_RNDN);
        mpfr_cos(r23147, r23146, MPFR_RNDN);
        mpfr_set_d(r23148, eps, MPFR_RNDN);
        mpfr_cos(r23149, r23148, MPFR_RNDN);
        mpfr_mul(r23150, r23147, r23149, MPFR_RNDN);
        mpfr_sin(r23151, r23146, MPFR_RNDN);
        mpfr_sin(r23152, r23148, MPFR_RNDN);
        mpfr_mul(r23153, r23151, r23152, MPFR_RNDN);
        mpfr_sub(r23154, r23150, r23153, MPFR_RNDN);
        mpfr_sub(r23155, r23154, r23147, MPFR_RNDN);
        ;
        mpfr_set_si(r23157, mpfr_cmp(r23155, r23156) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23159, mpfr_cmp(r23155, r23158) <= 0, MPFR_RNDN);
        ;
        ;
        mpfr_div(r23162, r23148, r23161, MPFR_RNDN);
        mpfr_sin(r23163, r23162, MPFR_RNDN);
        mpfr_add(r23164, r23148, r23146, MPFR_RNDN);
        mpfr_add(r23165, r23146, r23164, MPFR_RNDN);
        mpfr_div(r23166, r23165, r23161, MPFR_RNDN);
        mpfr_sin(r23167, r23166, MPFR_RNDN);
        mpfr_mul(r23168, r23163, r23167, MPFR_RNDN);
        mpfr_mul(r23169, r23160, r23168, MPFR_RNDN);
        mpfr_log1p(r23170, r23169, MPFR_RNDN);
        mpfr_expm1(r23171, r23170, MPFR_RNDN);
        mpfr_fma(r23172, r23152, r23151, r23147, MPFR_RNDN);
        mpfr_sub(r23173, r23150, r23172, MPFR_RNDN);
        if (mpfr_get_si(r23159, MPFR_RNDN)) { mpfr_set(r23174, r23171, MPFR_RNDN); } else { mpfr_set(r23174, r23173, MPFR_RNDN); };
        if (mpfr_get_si(r23157, MPFR_RNDN)) { mpfr_set(r23175, r23155, MPFR_RNDN); } else { mpfr_set(r23175, r23174, MPFR_RNDN); };
        return mpfr_get_d(r23175, MPFR_RNDN);
}