#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r23061 = x; float r23062 = 1; float r23063 = r23061 + r23062; float r23064 = n; float r23065 = r23062 / r23064; float r23066 = pow(r23063, r23065); float r23067 = pow(r23061, r23065); float r23068 = r23066 - r23067; return r23068; } double f_id(double x, double n) { double r23069 = x; double r23070 = 1; double r23071 = r23069 + r23070; double r23072 = n; double r23073 = r23070 / r23072; double r23074 = pow(r23071, r23073); double r23075 = pow(r23069, r23073); double r23076 = r23074 - r23075; return r23076; } double f_of(float x, float n) { float r23077 = x; float r23078 = log1p(r23077); float r23079 = n; float r23080 = r23078 / r23079; float r23081 = expm1(r23080); float r23082 = 1/2; float r23083 = r23082 / r23079; float r23084 = r23083 / r23079; float r23085 = log(r23077); float r23086 = r23085 * r23085; float r23087 = r23085 / r23079; float r23088 = fma(r23084, r23086, r23087); float r23089 = r23081 - r23088; float r23090 = -5.350026176355435e-07; bool r23091 = r23089 <= r23090; float r23092 = exp(r23080); float r23093 = 1; float r23094 = r23093 / r23079; float r23095 = pow(r23077, r23094); float r23096 = r23092 - r23095; float r23097 = -2.8780914400479355e-295; bool r23098 = r23089 <= r23097; float r23099 = 7.561091000226409e-282; bool r23100 = r23089 <= r23099; float r23101 = r23079 * r23079; float r23102 = r23085 / r23101; float r23103 = r23102 / r23077; float r23104 = r23077 * r23077; float r23105 = r23083 / r23104; float r23106 = r23077 * r23079; float r23107 = r23093 / r23106; float r23108 = r23105 - r23107; float r23109 = r23103 - r23108; float r23110 = r23085 * r23094; float r23111 = fma(r23084, r23086, r23110); float r23112 = r23081 - r23111; float r23113 = r23100 ? r23109 : r23112; float r23114 = r23098 ? r23089 : r23113; float r23115 = r23091 ? r23096 : r23114; return r23115; } double f_od(double x, double n) { double r23116 = x; double r23117 = log1p(r23116); double r23118 = n; double r23119 = r23117 / r23118; double r23120 = expm1(r23119); double r23121 = 1/2; double r23122 = r23121 / r23118; double r23123 = r23122 / r23118; double r23124 = log(r23116); double r23125 = r23124 * r23124; double r23126 = r23124 / r23118; double r23127 = fma(r23123, r23125, r23126); double r23128 = r23120 - r23127; double r23129 = -5.350026176355435e-07; bool r23130 = r23128 <= r23129; double r23131 = exp(r23119); double r23132 = 1; double r23133 = r23132 / r23118; double r23134 = pow(r23116, r23133); double r23135 = r23131 - r23134; double r23136 = -2.8780914400479355e-295; bool r23137 = r23128 <= r23136; double r23138 = 7.561091000226409e-282; bool r23139 = r23128 <= r23138; double r23140 = r23118 * r23118; double r23141 = r23124 / r23140; double r23142 = r23141 / r23116; double r23143 = r23116 * r23116; double r23144 = r23122 / r23143; double r23145 = r23116 * r23118; double r23146 = r23132 / r23145; double r23147 = r23144 - r23146; double r23148 = r23142 - r23147; double r23149 = r23124 * r23133; double r23150 = fma(r23123, r23125, r23149); double r23151 = r23120 - r23150; double r23152 = r23139 ? r23148 : r23151; double r23153 = r23137 ? r23128 : r23152; double r23154 = r23130 ? r23135 : r23153; return r23154; } 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 r23155, r23156, r23157, r23158, r23159, r23160, r23161, r23162; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r23155); mpfr_init_set_str(r23156, "1", 10, MPFR_RNDN); mpfr_init(r23157); mpfr_init(r23158); mpfr_init(r23159); mpfr_init(r23160); mpfr_init(r23161); mpfr_init(r23162); } double f_im(double x, double n) { mpfr_set_d(r23155, x, MPFR_RNDN); ; mpfr_add(r23157, r23155, r23156, MPFR_RNDN); mpfr_set_d(r23158, n, MPFR_RNDN); mpfr_div(r23159, r23156, r23158, MPFR_RNDN); mpfr_pow(r23160, r23157, r23159, MPFR_RNDN); mpfr_pow(r23161, r23155, r23159, MPFR_RNDN); mpfr_sub(r23162, r23160, r23161, MPFR_RNDN); return mpfr_get_d(r23162, MPFR_RNDN); } static mpfr_t r23163, r23164, r23165, r23166, r23167, r23168, r23169, r23170, r23171, r23172, r23173, r23174, r23175, r23176, r23177, r23178, r23179, r23180, r23181, r23182, r23183, r23184, r23185, r23186, r23187, r23188, r23189, r23190, r23191, r23192, r23193, r23194, r23195, r23196, r23197, r23198, r23199, r23200, r23201; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r23163); mpfr_init(r23164); mpfr_init(r23165); mpfr_init(r23166); mpfr_init(r23167); mpfr_init_set_str(r23168, "1/2", 10, MPFR_RNDN); mpfr_init(r23169); mpfr_init(r23170); mpfr_init(r23171); mpfr_init(r23172); mpfr_init(r23173); mpfr_init(r23174); mpfr_init(r23175); mpfr_init_set_str(r23176, "-5.350026176355435e-07", 10, MPFR_RNDN); mpfr_init(r23177); mpfr_init(r23178); mpfr_init_set_str(r23179, "1", 10, MPFR_RNDN); mpfr_init(r23180); mpfr_init(r23181); mpfr_init(r23182); mpfr_init_set_str(r23183, "-2.8780914400479355e-295", 10, MPFR_RNDN); mpfr_init(r23184); mpfr_init_set_str(r23185, "7.561091000226409e-282", 10, MPFR_RNDN); mpfr_init(r23186); mpfr_init(r23187); mpfr_init(r23188); mpfr_init(r23189); mpfr_init(r23190); mpfr_init(r23191); mpfr_init(r23192); mpfr_init(r23193); mpfr_init(r23194); mpfr_init(r23195); mpfr_init(r23196); mpfr_init(r23197); mpfr_init(r23198); mpfr_init(r23199); mpfr_init(r23200); mpfr_init(r23201); } double f_fm(double x, double n) { mpfr_set_d(r23163, x, MPFR_RNDN); mpfr_log1p(r23164, r23163, MPFR_RNDN); mpfr_set_d(r23165, n, MPFR_RNDN); mpfr_div(r23166, r23164, r23165, MPFR_RNDN); mpfr_expm1(r23167, r23166, MPFR_RNDN); ; mpfr_div(r23169, r23168, r23165, MPFR_RNDN); mpfr_div(r23170, r23169, r23165, MPFR_RNDN); mpfr_log(r23171, r23163, MPFR_RNDN); mpfr_mul(r23172, r23171, r23171, MPFR_RNDN); mpfr_div(r23173, r23171, r23165, MPFR_RNDN); mpfr_fma(r23174, r23170, r23172, r23173, MPFR_RNDN); mpfr_sub(r23175, r23167, r23174, MPFR_RNDN); ; mpfr_set_si(r23177, mpfr_cmp(r23175, r23176) <= 0, MPFR_RNDN); mpfr_exp(r23178, r23166, MPFR_RNDN); ; mpfr_div(r23180, r23179, r23165, MPFR_RNDN); mpfr_pow(r23181, r23163, r23180, MPFR_RNDN); mpfr_sub(r23182, r23178, r23181, MPFR_RNDN); ; mpfr_set_si(r23184, mpfr_cmp(r23175, r23183) <= 0, MPFR_RNDN); ; mpfr_set_si(r23186, mpfr_cmp(r23175, r23185) <= 0, MPFR_RNDN); mpfr_mul(r23187, r23165, r23165, MPFR_RNDN); mpfr_div(r23188, r23171, r23187, MPFR_RNDN); mpfr_div(r23189, r23188, r23163, MPFR_RNDN); mpfr_mul(r23190, r23163, r23163, MPFR_RNDN); mpfr_div(r23191, r23169, r23190, MPFR_RNDN); mpfr_mul(r23192, r23163, r23165, MPFR_RNDN); mpfr_div(r23193, r23179, r23192, MPFR_RNDN); mpfr_sub(r23194, r23191, r23193, MPFR_RNDN); mpfr_sub(r23195, r23189, r23194, MPFR_RNDN); mpfr_mul(r23196, r23171, r23180, MPFR_RNDN); mpfr_fma(r23197, r23170, r23172, r23196, MPFR_RNDN); mpfr_sub(r23198, r23167, r23197, MPFR_RNDN); if (mpfr_get_si(r23186, MPFR_RNDN)) { mpfr_set(r23199, r23195, MPFR_RNDN); } else { mpfr_set(r23199, r23198, MPFR_RNDN); }; if (mpfr_get_si(r23184, MPFR_RNDN)) { mpfr_set(r23200, r23175, MPFR_RNDN); } else { mpfr_set(r23200, r23199, MPFR_RNDN); }; if (mpfr_get_si(r23177, MPFR_RNDN)) { mpfr_set(r23201, r23182, MPFR_RNDN); } else { mpfr_set(r23201, r23200, MPFR_RNDN); }; return mpfr_get_d(r23201, MPFR_RNDN); } static mpfr_t 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, r23239, r23240; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r23202); mpfr_init(r23203); mpfr_init(r23204); mpfr_init(r23205); mpfr_init(r23206); mpfr_init_set_str(r23207, "1/2", 10, MPFR_RNDN); 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, "-5.350026176355435e-07", 10, MPFR_RNDN); mpfr_init(r23216); mpfr_init(r23217); mpfr_init_set_str(r23218, "1", 10, MPFR_RNDN); mpfr_init(r23219); mpfr_init(r23220); mpfr_init(r23221); mpfr_init_set_str(r23222, "-2.8780914400479355e-295", 10, MPFR_RNDN); mpfr_init(r23223); mpfr_init_set_str(r23224, "7.561091000226409e-282", 10, MPFR_RNDN); 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); mpfr_init(r23239); mpfr_init(r23240); } double f_dm(double x, double n) { mpfr_set_d(r23202, x, MPFR_RNDN); mpfr_log1p(r23203, r23202, MPFR_RNDN); mpfr_set_d(r23204, n, MPFR_RNDN); mpfr_div(r23205, r23203, r23204, MPFR_RNDN); mpfr_expm1(r23206, r23205, MPFR_RNDN); ; mpfr_div(r23208, r23207, r23204, MPFR_RNDN); mpfr_div(r23209, r23208, r23204, MPFR_RNDN); mpfr_log(r23210, r23202, MPFR_RNDN); mpfr_mul(r23211, r23210, r23210, MPFR_RNDN); mpfr_div(r23212, r23210, r23204, MPFR_RNDN); mpfr_fma(r23213, r23209, r23211, r23212, MPFR_RNDN); mpfr_sub(r23214, r23206, r23213, MPFR_RNDN); ; mpfr_set_si(r23216, mpfr_cmp(r23214, r23215) <= 0, MPFR_RNDN); mpfr_exp(r23217, r23205, MPFR_RNDN); ; mpfr_div(r23219, r23218, r23204, MPFR_RNDN); mpfr_pow(r23220, r23202, r23219, MPFR_RNDN); mpfr_sub(r23221, r23217, r23220, MPFR_RNDN); ; mpfr_set_si(r23223, mpfr_cmp(r23214, r23222) <= 0, MPFR_RNDN); ; mpfr_set_si(r23225, mpfr_cmp(r23214, r23224) <= 0, MPFR_RNDN); mpfr_mul(r23226, r23204, r23204, MPFR_RNDN); mpfr_div(r23227, r23210, r23226, MPFR_RNDN); mpfr_div(r23228, r23227, r23202, MPFR_RNDN); mpfr_mul(r23229, r23202, r23202, MPFR_RNDN); mpfr_div(r23230, r23208, r23229, MPFR_RNDN); mpfr_mul(r23231, r23202, r23204, MPFR_RNDN); mpfr_div(r23232, r23218, r23231, MPFR_RNDN); mpfr_sub(r23233, r23230, r23232, MPFR_RNDN); mpfr_sub(r23234, r23228, r23233, MPFR_RNDN); mpfr_mul(r23235, r23210, r23219, MPFR_RNDN); mpfr_fma(r23236, r23209, r23211, r23235, MPFR_RNDN); mpfr_sub(r23237, r23206, r23236, MPFR_RNDN); if (mpfr_get_si(r23225, MPFR_RNDN)) { mpfr_set(r23238, r23234, MPFR_RNDN); } else { mpfr_set(r23238, r23237, MPFR_RNDN); }; if (mpfr_get_si(r23223, MPFR_RNDN)) { mpfr_set(r23239, r23214, MPFR_RNDN); } else { mpfr_set(r23239, r23238, MPFR_RNDN); }; if (mpfr_get_si(r23216, MPFR_RNDN)) { mpfr_set(r23240, r23221, MPFR_RNDN); } else { mpfr_set(r23240, r23239, MPFR_RNDN); }; return mpfr_get_d(r23240, MPFR_RNDN); }