#include #include #include #include #include char *name = "2cos (problem 3.3.5)"; double f_if(float x, float eps) { float r23121 = x; float r23122 = eps; float r23123 = r23121 + r23122; float r23124 = cos(r23123); float r23125 = cos(r23121); float r23126 = r23124 - r23125; return r23126; } double f_id(double x, double eps) { double r23127 = x; double r23128 = eps; double r23129 = r23127 + r23128; double r23130 = cos(r23129); double r23131 = cos(r23127); double r23132 = r23130 - r23131; return r23132; } double f_of(float x, float eps) { float r23133 = x; float r23134 = cos(r23133); float r23135 = eps; float r23136 = cos(r23135); float r23137 = r23134 * r23136; float r23138 = sin(r23135); float r23139 = sin(r23133); float r23140 = fma(r23138, r23139, r23134); float r23141 = r23137 - r23140; float r23142 = -0.11798586661854749; bool r23143 = r23141 <= r23142; float r23144 = 8.887110627525674e-05; bool r23145 = r23141 <= r23144; float r23146 = -2; float r23147 = 2; float r23148 = r23135 / r23147; float r23149 = sin(r23148); float r23150 = r23135 + r23133; float r23151 = r23133 + r23150; float r23152 = r23151 / r23147; float r23153 = sin(r23152); float r23154 = expm1(r23153); float r23155 = log1p(r23154); float r23156 = r23149 * r23155; float r23157 = r23146 * r23156; float r23158 = r23139 * r23138; float r23159 = r23137 - r23158; float r23160 = r23159 - r23134; float r23161 = r23145 ? r23157 : r23160; float r23162 = r23143 ? r23141 : r23161; return r23162; } double f_od(double x, double eps) { double r23163 = x; double r23164 = cos(r23163); double r23165 = eps; double r23166 = cos(r23165); double r23167 = r23164 * r23166; double r23168 = sin(r23165); double r23169 = sin(r23163); double r23170 = fma(r23168, r23169, r23164); double r23171 = r23167 - r23170; double r23172 = -0.11798586661854749; bool r23173 = r23171 <= r23172; double r23174 = 8.887110627525674e-05; bool r23175 = r23171 <= r23174; double r23176 = -2; double r23177 = 2; double r23178 = r23165 / r23177; double r23179 = sin(r23178); double r23180 = r23165 + r23163; double r23181 = r23163 + r23180; double r23182 = r23181 / r23177; double r23183 = sin(r23182); double r23184 = expm1(r23183); double r23185 = log1p(r23184); double r23186 = r23179 * r23185; double r23187 = r23176 * r23186; double r23188 = r23169 * r23168; double r23189 = r23167 - r23188; double r23190 = r23189 - r23164; double r23191 = r23175 ? r23187 : r23190; double r23192 = r23173 ? r23171 : r23191; return r23192; } 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 r23193, r23194, r23195, r23196, r23197, r23198; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r23193); mpfr_init(r23194); mpfr_init(r23195); mpfr_init(r23196); mpfr_init(r23197); mpfr_init(r23198); } double f_im(double x, double eps) { mpfr_set_d(r23193, x, MPFR_RNDN); mpfr_set_d(r23194, eps, MPFR_RNDN); mpfr_add(r23195, r23193, r23194, MPFR_RNDN); mpfr_cos(r23196, r23195, MPFR_RNDN); mpfr_cos(r23197, r23193, MPFR_RNDN); mpfr_sub(r23198, r23196, r23197, MPFR_RNDN); return mpfr_get_d(r23198, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r23199); mpfr_init(r23200); mpfr_init(r23201); mpfr_init(r23202); mpfr_init(r23203); mpfr_init(r23204); mpfr_init(r23205); mpfr_init(r23206); mpfr_init(r23207); mpfr_init_set_str(r23208, "-0.11798586661854749", 10, MPFR_RNDN); mpfr_init(r23209); mpfr_init_set_str(r23210, "8.887110627525674e-05", 10, MPFR_RNDN); mpfr_init(r23211); mpfr_init_set_str(r23212, "-2", 10, MPFR_RNDN); mpfr_init_set_str(r23213, "2", 10, MPFR_RNDN); mpfr_init(r23214); mpfr_init(r23215); mpfr_init(r23216); mpfr_init(r23217); 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); } double f_fm(double x, double eps) { mpfr_set_d(r23199, x, MPFR_RNDN); mpfr_cos(r23200, r23199, MPFR_RNDN); mpfr_set_d(r23201, eps, MPFR_RNDN); mpfr_cos(r23202, r23201, MPFR_RNDN); mpfr_mul(r23203, r23200, r23202, MPFR_RNDN); mpfr_sin(r23204, r23201, MPFR_RNDN); mpfr_sin(r23205, r23199, MPFR_RNDN); mpfr_fma(r23206, r23204, r23205, r23200, MPFR_RNDN); mpfr_sub(r23207, r23203, r23206, MPFR_RNDN); ; mpfr_set_si(r23209, mpfr_cmp(r23207, r23208) <= 0, MPFR_RNDN); ; mpfr_set_si(r23211, mpfr_cmp(r23207, r23210) <= 0, MPFR_RNDN); ; ; mpfr_div(r23214, r23201, r23213, MPFR_RNDN); mpfr_sin(r23215, r23214, MPFR_RNDN); mpfr_add(r23216, r23201, r23199, MPFR_RNDN); mpfr_add(r23217, r23199, r23216, MPFR_RNDN); mpfr_div(r23218, r23217, r23213, MPFR_RNDN); mpfr_sin(r23219, r23218, MPFR_RNDN); mpfr_expm1(r23220, r23219, MPFR_RNDN); mpfr_log1p(r23221, r23220, MPFR_RNDN); mpfr_mul(r23222, r23215, r23221, MPFR_RNDN); mpfr_mul(r23223, r23212, r23222, MPFR_RNDN); mpfr_mul(r23224, r23205, r23204, MPFR_RNDN); mpfr_sub(r23225, r23203, r23224, MPFR_RNDN); mpfr_sub(r23226, r23225, r23200, MPFR_RNDN); if (mpfr_get_si(r23211, MPFR_RNDN)) { mpfr_set(r23227, r23223, MPFR_RNDN); } else { mpfr_set(r23227, r23226, MPFR_RNDN); }; if (mpfr_get_si(r23209, MPFR_RNDN)) { mpfr_set(r23228, r23207, MPFR_RNDN); } else { mpfr_set(r23228, r23227, MPFR_RNDN); }; return mpfr_get_d(r23228, MPFR_RNDN); } static mpfr_t r23229, r23230, r23231, r23232, r23233, r23234, r23235, r23236, r23237, r23238, r23239, r23240, r23241, r23242, r23243, r23244, r23245, r23246, r23247, r23248, r23249, r23250, r23251, r23252, r23253, r23254, r23255, r23256, r23257, r23258; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); 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_set_str(r23238, "-0.11798586661854749", 10, MPFR_RNDN); mpfr_init(r23239); mpfr_init_set_str(r23240, "8.887110627525674e-05", 10, MPFR_RNDN); mpfr_init(r23241); mpfr_init_set_str(r23242, "-2", 10, MPFR_RNDN); mpfr_init_set_str(r23243, "2", 10, MPFR_RNDN); mpfr_init(r23244); mpfr_init(r23245); mpfr_init(r23246); mpfr_init(r23247); mpfr_init(r23248); mpfr_init(r23249); mpfr_init(r23250); mpfr_init(r23251); mpfr_init(r23252); mpfr_init(r23253); mpfr_init(r23254); mpfr_init(r23255); mpfr_init(r23256); mpfr_init(r23257); mpfr_init(r23258); } double f_dm(double x, double eps) { mpfr_set_d(r23229, x, MPFR_RNDN); mpfr_cos(r23230, r23229, MPFR_RNDN); mpfr_set_d(r23231, eps, MPFR_RNDN); mpfr_cos(r23232, r23231, MPFR_RNDN); mpfr_mul(r23233, r23230, r23232, MPFR_RNDN); mpfr_sin(r23234, r23231, MPFR_RNDN); mpfr_sin(r23235, r23229, MPFR_RNDN); mpfr_fma(r23236, r23234, r23235, r23230, MPFR_RNDN); mpfr_sub(r23237, r23233, r23236, MPFR_RNDN); ; mpfr_set_si(r23239, mpfr_cmp(r23237, r23238) <= 0, MPFR_RNDN); ; mpfr_set_si(r23241, mpfr_cmp(r23237, r23240) <= 0, MPFR_RNDN); ; ; mpfr_div(r23244, r23231, r23243, MPFR_RNDN); mpfr_sin(r23245, r23244, MPFR_RNDN); mpfr_add(r23246, r23231, r23229, MPFR_RNDN); mpfr_add(r23247, r23229, r23246, MPFR_RNDN); mpfr_div(r23248, r23247, r23243, MPFR_RNDN); mpfr_sin(r23249, r23248, MPFR_RNDN); mpfr_expm1(r23250, r23249, MPFR_RNDN); mpfr_log1p(r23251, r23250, MPFR_RNDN); mpfr_mul(r23252, r23245, r23251, MPFR_RNDN); mpfr_mul(r23253, r23242, r23252, MPFR_RNDN); mpfr_mul(r23254, r23235, r23234, MPFR_RNDN); mpfr_sub(r23255, r23233, r23254, MPFR_RNDN); mpfr_sub(r23256, r23255, r23230, MPFR_RNDN); if (mpfr_get_si(r23241, MPFR_RNDN)) { mpfr_set(r23257, r23253, MPFR_RNDN); } else { mpfr_set(r23257, r23256, MPFR_RNDN); }; if (mpfr_get_si(r23239, MPFR_RNDN)) { mpfr_set(r23258, r23237, MPFR_RNDN); } else { mpfr_set(r23258, r23257, MPFR_RNDN); }; return mpfr_get_d(r23258, MPFR_RNDN); }