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

char *name = "2nthrt (problem 3.4.6)";

double f_if(float x, float n) {
        float r23065 = x;
        float r23066 = 1;
        float r23067 = r23065 + r23066;
        float r23068 = n;
        float r23069 = r23066 / r23068;
        float r23070 = pow(r23067, r23069);
        float r23071 = pow(r23065, r23069);
        float r23072 = r23070 - r23071;
        return r23072;
}

double f_id(double x, double n) {
        double r23073 = x;
        double r23074 = 1;
        double r23075 = r23073 + r23074;
        double r23076 = n;
        double r23077 = r23074 / r23076;
        double r23078 = pow(r23075, r23077);
        double r23079 = pow(r23073, r23077);
        double r23080 = r23078 - r23079;
        return r23080;
}


double f_of(float x, float n) {
        float r23081 = x;
        float r23082 = n;
        float r23083 = r23081 / r23082;
        float r23084 = log(r23081);
        float r23085 = r23084 / r23082;
        float r23086 = r23083 - r23085;
        float r23087 = 1/2;
        float r23088 = r23087 / r23082;
        float r23089 = r23088 / r23082;
        float r23090 = r23081 * r23081;
        float r23091 = r23084 * r23084;
        float r23092 = r23090 - r23091;
        float r23093 = r23089 * r23092;
        float r23094 = r23086 + r23093;
        float r23095 = -5.350026176355435e-07;
        bool r23096 = r23094 <= r23095;
        float r23097 = 1;
        float r23098 = r23081 + r23097;
        float r23099 = r23097 / r23082;
        float r23100 = pow(r23098, r23099);
        float r23101 = r23100 * r23100;
        float r23102 = pow(r23081, r23099);
        float r23103 = r23102 * r23102;
        float r23104 = r23101 - r23103;
        float r23105 = r23100 + r23102;
        float r23106 = r23104 / r23105;
        float r23107 = 0.03719377217694466;
        bool r23108 = r23094 <= r23107;
        float r23109 = 9.872914403887622e+123;
        bool r23110 = r23094 <= r23109;
        float r23111 = r23081 * r23082;
        float r23112 = r23097 / r23111;
        float r23113 = r23087 / r23081;
        float r23114 = r23113 / r23111;
        float r23115 = r23112 - r23114;
        float r23116 = r23082 * r23082;
        float r23117 = r23116 * r23081;
        float r23118 = r23084 / r23117;
        float r23119 = r23115 + r23118;
        float r23120 = sqrt(r23098);
        float r23121 = pow(r23120, r23099);
        float r23122 = sqrt(r23102);
        float r23123 = r23121 + r23122;
        float r23124 = r23121 - r23122;
        float r23125 = sqrt(r23124);
        float r23126 = r23125 * r23125;
        float r23127 = r23123 * r23126;
        float r23128 = r23110 ? r23119 : r23127;
        float r23129 = r23108 ? r23094 : r23128;
        float r23130 = r23096 ? r23106 : r23129;
        return r23130;
}

double f_od(double x, double n) {
        double r23131 = x;
        double r23132 = n;
        double r23133 = r23131 / r23132;
        double r23134 = log(r23131);
        double r23135 = r23134 / r23132;
        double r23136 = r23133 - r23135;
        double r23137 = 1/2;
        double r23138 = r23137 / r23132;
        double r23139 = r23138 / r23132;
        double r23140 = r23131 * r23131;
        double r23141 = r23134 * r23134;
        double r23142 = r23140 - r23141;
        double r23143 = r23139 * r23142;
        double r23144 = r23136 + r23143;
        double r23145 = -5.350026176355435e-07;
        bool r23146 = r23144 <= r23145;
        double r23147 = 1;
        double r23148 = r23131 + r23147;
        double r23149 = r23147 / r23132;
        double r23150 = pow(r23148, r23149);
        double r23151 = r23150 * r23150;
        double r23152 = pow(r23131, r23149);
        double r23153 = r23152 * r23152;
        double r23154 = r23151 - r23153;
        double r23155 = r23150 + r23152;
        double r23156 = r23154 / r23155;
        double r23157 = 0.03719377217694466;
        bool r23158 = r23144 <= r23157;
        double r23159 = 9.872914403887622e+123;
        bool r23160 = r23144 <= r23159;
        double r23161 = r23131 * r23132;
        double r23162 = r23147 / r23161;
        double r23163 = r23137 / r23131;
        double r23164 = r23163 / r23161;
        double r23165 = r23162 - r23164;
        double r23166 = r23132 * r23132;
        double r23167 = r23166 * r23131;
        double r23168 = r23134 / r23167;
        double r23169 = r23165 + r23168;
        double r23170 = sqrt(r23148);
        double r23171 = pow(r23170, r23149);
        double r23172 = sqrt(r23152);
        double r23173 = r23171 + r23172;
        double r23174 = r23171 - r23172;
        double r23175 = sqrt(r23174);
        double r23176 = r23175 * r23175;
        double r23177 = r23173 * r23176;
        double r23178 = r23160 ? r23169 : r23177;
        double r23179 = r23158 ? r23144 : r23178;
        double r23180 = r23146 ? r23156 : r23179;
        return r23180;
}

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 r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23181);
        mpfr_init_set_str(r23182, "1", 10, MPFR_RNDN);
        mpfr_init(r23183);
        mpfr_init(r23184);
        mpfr_init(r23185);
        mpfr_init(r23186);
        mpfr_init(r23187);
        mpfr_init(r23188);
}

double f_im(double x, double n) {
        mpfr_set_d(r23181, x, MPFR_RNDN);
        ;
        mpfr_add(r23183, r23181, r23182, MPFR_RNDN);
        mpfr_set_d(r23184, n, MPFR_RNDN);
        mpfr_div(r23185, r23182, r23184, MPFR_RNDN);
        mpfr_pow(r23186, r23183, r23185, MPFR_RNDN);
        mpfr_pow(r23187, r23181, r23185, MPFR_RNDN);
        mpfr_sub(r23188, r23186, r23187, MPFR_RNDN);
        return mpfr_get_d(r23188, MPFR_RNDN);
}

static mpfr_t r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201, r23202, r23203, r23204, r23205, r23206, r23207, r23208, r23209, r23210, r23211, r23212, r23213, r23214, r23215, r23216, r23217, r23218, r23219, r23220, r23221, r23222, r23223, r23224, r23225, r23226, r23227, r23228, r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236, r23237, r23238;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23189);
        mpfr_init(r23190);
        mpfr_init(r23191);
        mpfr_init(r23192);
        mpfr_init(r23193);
        mpfr_init(r23194);
        mpfr_init_set_str(r23195, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23196);
        mpfr_init(r23197);
        mpfr_init(r23198);
        mpfr_init(r23199);
        mpfr_init(r23200);
        mpfr_init(r23201);
        mpfr_init(r23202);
        mpfr_init_set_str(r23203, "-5.350026176355435e-07", 10, MPFR_RNDN);
        mpfr_init(r23204);
        mpfr_init_set_str(r23205, "1", 10, MPFR_RNDN);
        mpfr_init(r23206);
        mpfr_init(r23207);
        mpfr_init(r23208);
        mpfr_init(r23209);
        mpfr_init(r23210);
        mpfr_init(r23211);
        mpfr_init(r23212);
        mpfr_init(r23213);
        mpfr_init(r23214);
        mpfr_init_set_str(r23215, "0.03719377217694466", 10, MPFR_RNDN);
        mpfr_init(r23216);
        mpfr_init_set_str(r23217, "9.872914403887622e+123", 10, MPFR_RNDN);
        mpfr_init(r23218);
        mpfr_init(r23219);
        mpfr_init(r23220);
        mpfr_init(r23221);
        mpfr_init(r23222);
        mpfr_init(r23223);
        mpfr_init(r23224);
        mpfr_init(r23225);
        mpfr_init(r23226);
        mpfr_init(r23227);
        mpfr_init(r23228);
        mpfr_init(r23229);
        mpfr_init(r23230);
        mpfr_init(r23231);
        mpfr_init(r23232);
        mpfr_init(r23233);
        mpfr_init(r23234);
        mpfr_init(r23235);
        mpfr_init(r23236);
        mpfr_init(r23237);
        mpfr_init(r23238);
}

double f_fm(double x, double n) {
        mpfr_set_d(r23189, x, MPFR_RNDN);
        mpfr_set_d(r23190, n, MPFR_RNDN);
        mpfr_div(r23191, r23189, r23190, MPFR_RNDN);
        mpfr_log(r23192, r23189, MPFR_RNDN);
        mpfr_div(r23193, r23192, r23190, MPFR_RNDN);
        mpfr_sub(r23194, r23191, r23193, MPFR_RNDN);
        ;
        mpfr_div(r23196, r23195, r23190, MPFR_RNDN);
        mpfr_div(r23197, r23196, r23190, MPFR_RNDN);
        mpfr_mul(r23198, r23189, r23189, MPFR_RNDN);
        mpfr_mul(r23199, r23192, r23192, MPFR_RNDN);
        mpfr_sub(r23200, r23198, r23199, MPFR_RNDN);
        mpfr_mul(r23201, r23197, r23200, MPFR_RNDN);
        mpfr_add(r23202, r23194, r23201, MPFR_RNDN);
        ;
        mpfr_set_si(r23204, mpfr_cmp(r23202, r23203) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23206, r23189, r23205, MPFR_RNDN);
        mpfr_div(r23207, r23205, r23190, MPFR_RNDN);
        mpfr_pow(r23208, r23206, r23207, MPFR_RNDN);
        mpfr_mul(r23209, r23208, r23208, MPFR_RNDN);
        mpfr_pow(r23210, r23189, r23207, MPFR_RNDN);
        mpfr_mul(r23211, r23210, r23210, MPFR_RNDN);
        mpfr_sub(r23212, r23209, r23211, MPFR_RNDN);
        mpfr_add(r23213, r23208, r23210, MPFR_RNDN);
        mpfr_div(r23214, r23212, r23213, MPFR_RNDN);
        ;
        mpfr_set_si(r23216, mpfr_cmp(r23202, r23215) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23218, mpfr_cmp(r23202, r23217) <= 0, MPFR_RNDN);
        mpfr_mul(r23219, r23189, r23190, MPFR_RNDN);
        mpfr_div(r23220, r23205, r23219, MPFR_RNDN);
        mpfr_div(r23221, r23195, r23189, MPFR_RNDN);
        mpfr_div(r23222, r23221, r23219, MPFR_RNDN);
        mpfr_sub(r23223, r23220, r23222, MPFR_RNDN);
        mpfr_mul(r23224, r23190, r23190, MPFR_RNDN);
        mpfr_mul(r23225, r23224, r23189, MPFR_RNDN);
        mpfr_div(r23226, r23192, r23225, MPFR_RNDN);
        mpfr_add(r23227, r23223, r23226, MPFR_RNDN);
        mpfr_sqrt(r23228, r23206, MPFR_RNDN);
        mpfr_pow(r23229, r23228, r23207, MPFR_RNDN);
        mpfr_sqrt(r23230, r23210, MPFR_RNDN);
        mpfr_add(r23231, r23229, r23230, MPFR_RNDN);
        mpfr_sub(r23232, r23229, r23230, MPFR_RNDN);
        mpfr_sqrt(r23233, r23232, MPFR_RNDN);
        mpfr_mul(r23234, r23233, r23233, MPFR_RNDN);
        mpfr_mul(r23235, r23231, r23234, MPFR_RNDN);
        if (mpfr_get_si(r23218, MPFR_RNDN)) { mpfr_set(r23236, r23227, MPFR_RNDN); } else { mpfr_set(r23236, r23235, MPFR_RNDN); };
        if (mpfr_get_si(r23216, MPFR_RNDN)) { mpfr_set(r23237, r23202, MPFR_RNDN); } else { mpfr_set(r23237, r23236, MPFR_RNDN); };
        if (mpfr_get_si(r23204, MPFR_RNDN)) { mpfr_set(r23238, r23214, MPFR_RNDN); } else { mpfr_set(r23238, r23237, MPFR_RNDN); };
        return mpfr_get_d(r23238, MPFR_RNDN);
}

static mpfr_t r23239, r23240, r23241, r23242, r23243, r23244, r23245, r23246, r23247, r23248, r23249, r23250, r23251, r23252, r23253, r23254, r23255, r23256, r23257, r23258, r23259, r23260, r23261, r23262, r23263, r23264, r23265, r23266, r23267, r23268, r23269, r23270, r23271, r23272, r23273, r23274, r23275, r23276, r23277, r23278, r23279, r23280, r23281, r23282, r23283, r23284, r23285, r23286, r23287, r23288;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(1360);
        mpfr_init(r23239);
        mpfr_init(r23240);
        mpfr_init(r23241);
        mpfr_init(r23242);
        mpfr_init(r23243);
        mpfr_init(r23244);
        mpfr_init_set_str(r23245, "1/2", 10, MPFR_RNDN);
        mpfr_init(r23246);
        mpfr_init(r23247);
        mpfr_init(r23248);
        mpfr_init(r23249);
        mpfr_init(r23250);
        mpfr_init(r23251);
        mpfr_init(r23252);
        mpfr_init_set_str(r23253, "-5.350026176355435e-07", 10, MPFR_RNDN);
        mpfr_init(r23254);
        mpfr_init_set_str(r23255, "1", 10, MPFR_RNDN);
        mpfr_init(r23256);
        mpfr_init(r23257);
        mpfr_init(r23258);
        mpfr_init(r23259);
        mpfr_init(r23260);
        mpfr_init(r23261);
        mpfr_init(r23262);
        mpfr_init(r23263);
        mpfr_init(r23264);
        mpfr_init_set_str(r23265, "0.03719377217694466", 10, MPFR_RNDN);
        mpfr_init(r23266);
        mpfr_init_set_str(r23267, "9.872914403887622e+123", 10, MPFR_RNDN);
        mpfr_init(r23268);
        mpfr_init(r23269);
        mpfr_init(r23270);
        mpfr_init(r23271);
        mpfr_init(r23272);
        mpfr_init(r23273);
        mpfr_init(r23274);
        mpfr_init(r23275);
        mpfr_init(r23276);
        mpfr_init(r23277);
        mpfr_init(r23278);
        mpfr_init(r23279);
        mpfr_init(r23280);
        mpfr_init(r23281);
        mpfr_init(r23282);
        mpfr_init(r23283);
        mpfr_init(r23284);
        mpfr_init(r23285);
        mpfr_init(r23286);
        mpfr_init(r23287);
        mpfr_init(r23288);
}

double f_dm(double x, double n) {
        mpfr_set_d(r23239, x, MPFR_RNDN);
        mpfr_set_d(r23240, n, MPFR_RNDN);
        mpfr_div(r23241, r23239, r23240, MPFR_RNDN);
        mpfr_log(r23242, r23239, MPFR_RNDN);
        mpfr_div(r23243, r23242, r23240, MPFR_RNDN);
        mpfr_sub(r23244, r23241, r23243, MPFR_RNDN);
        ;
        mpfr_div(r23246, r23245, r23240, MPFR_RNDN);
        mpfr_div(r23247, r23246, r23240, MPFR_RNDN);
        mpfr_mul(r23248, r23239, r23239, MPFR_RNDN);
        mpfr_mul(r23249, r23242, r23242, MPFR_RNDN);
        mpfr_sub(r23250, r23248, r23249, MPFR_RNDN);
        mpfr_mul(r23251, r23247, r23250, MPFR_RNDN);
        mpfr_add(r23252, r23244, r23251, MPFR_RNDN);
        ;
        mpfr_set_si(r23254, mpfr_cmp(r23252, r23253) <= 0, MPFR_RNDN);
        ;
        mpfr_add(r23256, r23239, r23255, MPFR_RNDN);
        mpfr_div(r23257, r23255, r23240, MPFR_RNDN);
        mpfr_pow(r23258, r23256, r23257, MPFR_RNDN);
        mpfr_mul(r23259, r23258, r23258, MPFR_RNDN);
        mpfr_pow(r23260, r23239, r23257, MPFR_RNDN);
        mpfr_mul(r23261, r23260, r23260, MPFR_RNDN);
        mpfr_sub(r23262, r23259, r23261, MPFR_RNDN);
        mpfr_add(r23263, r23258, r23260, MPFR_RNDN);
        mpfr_div(r23264, r23262, r23263, MPFR_RNDN);
        ;
        mpfr_set_si(r23266, mpfr_cmp(r23252, r23265) <= 0, MPFR_RNDN);
        ;
        mpfr_set_si(r23268, mpfr_cmp(r23252, r23267) <= 0, MPFR_RNDN);
        mpfr_mul(r23269, r23239, r23240, MPFR_RNDN);
        mpfr_div(r23270, r23255, r23269, MPFR_RNDN);
        mpfr_div(r23271, r23245, r23239, MPFR_RNDN);
        mpfr_div(r23272, r23271, r23269, MPFR_RNDN);
        mpfr_sub(r23273, r23270, r23272, MPFR_RNDN);
        mpfr_mul(r23274, r23240, r23240, MPFR_RNDN);
        mpfr_mul(r23275, r23274, r23239, MPFR_RNDN);
        mpfr_div(r23276, r23242, r23275, MPFR_RNDN);
        mpfr_add(r23277, r23273, r23276, MPFR_RNDN);
        mpfr_sqrt(r23278, r23256, MPFR_RNDN);
        mpfr_pow(r23279, r23278, r23257, MPFR_RNDN);
        mpfr_sqrt(r23280, r23260, MPFR_RNDN);
        mpfr_add(r23281, r23279, r23280, MPFR_RNDN);
        mpfr_sub(r23282, r23279, r23280, MPFR_RNDN);
        mpfr_sqrt(r23283, r23282, MPFR_RNDN);
        mpfr_mul(r23284, r23283, r23283, MPFR_RNDN);
        mpfr_mul(r23285, r23281, r23284, MPFR_RNDN);
        if (mpfr_get_si(r23268, MPFR_RNDN)) { mpfr_set(r23286, r23277, MPFR_RNDN); } else { mpfr_set(r23286, r23285, MPFR_RNDN); };
        if (mpfr_get_si(r23266, MPFR_RNDN)) { mpfr_set(r23287, r23252, MPFR_RNDN); } else { mpfr_set(r23287, r23286, MPFR_RNDN); };
        if (mpfr_get_si(r23254, MPFR_RNDN)) { mpfr_set(r23288, r23264, MPFR_RNDN); } else { mpfr_set(r23288, r23287, MPFR_RNDN); };
        return mpfr_get_d(r23288, MPFR_RNDN);
}