#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16212 = x; float r16213 = eps; float r16214 = r16212 + r16213; float r16215 = tan(r16214); float r16216 = tan(r16212); float r16217 = r16215 - r16216; return r16217; } double f_id(double x, double eps) { double r16218 = x; double r16219 = eps; double r16220 = r16218 + r16219; double r16221 = tan(r16220); double r16222 = tan(r16218); double r16223 = r16221 - r16222; return r16223; } double f_of(float x, float eps) { float r16224 = eps; float r16225 = -0.014078606851398945f; bool r16226 = r16224 <= r16225; float r16227 = x; float r16228 = cos(r16227); float r16229 = r16224 + r16227; float r16230 = 1.0 / tan(r16229); float r16231 = sin(r16227); float r16232 = r16230 * r16231; float r16233 = r16228 - r16232; float r16234 = r16227 + r16224; float r16235 = 1.0 / tan(r16234); float r16236 = r16235 * r16228; float r16237 = r16233 / r16236; float r16238 = 3.192056179046631f; bool r16239 = r16224 <= r16238; float r16240 = r16224 / r16228; float r16241 = r16228 / r16231; float r16242 = r16231 / r16241; float r16243 = r16224 * r16224; float r16244 = r16243 / r16228; float r16245 = r16231 * r16244; float r16246 = fma(r16240, r16242, r16245); float r16247 = r16228 * (r16228 * r16228); float r16248 = r16243 / r16247; float r16249 = r16231 * (r16231 * r16231); float r16250 = 0.3333333432674408f; float r16251 = r16224 * (r16224 * r16224); float r16252 = r16250 * r16251; float r16253 = fma(r16248, r16249, r16252); float r16254 = r16246 + r16253; float r16255 = 4.0f; float r16256 = pow(r16228, r16255); float r16257 = r16251 / r16256; float r16258 = pow(r16231, r16255); float r16259 = 1.3333333730697632f; float r16260 = r16259 / r16228; float r16261 = r16231 * r16231; float r16262 = r16228 / r16251; float r16263 = r16261 / r16262; float r16264 = fma(r16260, r16263, r16224); float r16265 = fma(r16257, r16258, r16264); float r16266 = r16254 + r16265; float r16267 = r16239 ? r16266 : r16237; float r16268 = r16226 ? r16237 : r16267; return r16268; } double f_od(double x, double eps) { double r16269 = eps; double r16270 = -0.014078606851398945; bool r16271 = r16269 <= r16270; double r16272 = x; double r16273 = cos(r16272); double r16274 = r16269 + r16272; double r16275 = 1.0 / tan(r16274); double r16276 = sin(r16272); double r16277 = r16275 * r16276; double r16278 = r16273 - r16277; double r16279 = r16272 + r16269; double r16280 = 1.0 / tan(r16279); double r16281 = r16280 * r16273; double r16282 = r16278 / r16281; double r16283 = 3.192056179046631; bool r16284 = r16269 <= r16283; double r16285 = r16269 / r16273; double r16286 = r16273 / r16276; double r16287 = r16276 / r16286; double r16288 = r16269 * r16269; double r16289 = r16288 / r16273; double r16290 = r16276 * r16289; double r16291 = fma(r16285, r16287, r16290); double r16292 = r16273 * (r16273 * r16273); double r16293 = r16288 / r16292; double r16294 = r16276 * (r16276 * r16276); double r16295 = 0.3333333432674408; double r16296 = r16269 * (r16269 * r16269); double r16297 = r16295 * r16296; double r16298 = fma(r16293, r16294, r16297); double r16299 = r16291 + r16298; double r16300 = 4.0; double r16301 = pow(r16273, r16300); double r16302 = r16296 / r16301; double r16303 = pow(r16276, r16300); double r16304 = 1.3333333730697632; double r16305 = r16304 / r16273; double r16306 = r16276 * r16276; double r16307 = r16273 / r16296; double r16308 = r16306 / r16307; double r16309 = fma(r16305, r16308, r16269); double r16310 = fma(r16302, r16303, r16309); double r16311 = r16299 + r16310; double r16312 = r16284 ? r16311 : r16282; double r16313 = r16271 ? r16282 : r16312; return r16313; } 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 r16314, r16315, r16316, r16317, r16318, r16319; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16314); mpfr_init(r16315); mpfr_init(r16316); mpfr_init(r16317); mpfr_init(r16318); mpfr_init(r16319); } double f_im(double x, double eps) { mpfr_set_d(r16314, x, MPFR_RNDN); mpfr_set_d(r16315, eps, MPFR_RNDN); mpfr_add(r16316, r16314, r16315, MPFR_RNDN); mpfr_tan(r16317, r16316, MPFR_RNDN); mpfr_tan(r16318, r16314, MPFR_RNDN); mpfr_sub(r16319, r16317, r16318, MPFR_RNDN); return mpfr_get_d(r16319, MPFR_RNDN); } static mpfr_t r16320, r16321, r16322, r16323, r16324, r16325, r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341, r16342, r16343, r16344, r16345, r16346, r16347, r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356, r16357, r16358, r16359, r16360, r16361, r16362, r16363, r16364; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16320); mpfr_init_set_str(r16321, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16322); mpfr_init(r16323); mpfr_init(r16324); mpfr_init(r16325); mpfr_init(r16326); mpfr_init(r16327); mpfr_init(r16328); mpfr_init(r16329); mpfr_init(r16330); mpfr_init(r16331); mpfr_init(r16332); mpfr_init(r16333); mpfr_init_set_str(r16334, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16335); mpfr_init(r16336); mpfr_init(r16337); mpfr_init(r16338); mpfr_init(r16339); mpfr_init(r16340); mpfr_init(r16341); mpfr_init(r16342); mpfr_init(r16343); mpfr_init(r16344); mpfr_init(r16345); mpfr_init_set_str(r16346, "1/3", 10, MPFR_RNDN); mpfr_init(r16347); mpfr_init(r16348); mpfr_init(r16349); mpfr_init(r16350); mpfr_init_set_str(r16351, "4", 10, MPFR_RNDN); mpfr_init(r16352); mpfr_init(r16353); mpfr_init(r16354); mpfr_init_set_str(r16355, "4/3", 10, MPFR_RNDN); mpfr_init(r16356); mpfr_init(r16357); mpfr_init(r16358); mpfr_init(r16359); mpfr_init(r16360); mpfr_init(r16361); mpfr_init(r16362); mpfr_init(r16363); mpfr_init(r16364); } double f_fm(double x, double eps) { mpfr_set_d(r16320, eps, MPFR_RNDN); ; mpfr_set_si(r16322, mpfr_cmp(r16320, r16321) <= 0, MPFR_RNDN); mpfr_set_d(r16323, x, MPFR_RNDN); mpfr_cos(r16324, r16323, MPFR_RNDN); mpfr_add(r16325, r16320, r16323, MPFR_RNDN); mpfr_cot(r16326, r16325, MPFR_RNDN); mpfr_sin(r16327, r16323, MPFR_RNDN); mpfr_mul(r16328, r16326, r16327, MPFR_RNDN); mpfr_sub(r16329, r16324, r16328, MPFR_RNDN); mpfr_add(r16330, r16323, r16320, MPFR_RNDN); mpfr_cot(r16331, r16330, MPFR_RNDN); mpfr_mul(r16332, r16331, r16324, MPFR_RNDN); mpfr_div(r16333, r16329, r16332, MPFR_RNDN); ; mpfr_set_si(r16335, mpfr_cmp(r16320, r16334) <= 0, MPFR_RNDN); mpfr_div(r16336, r16320, r16324, MPFR_RNDN); mpfr_div(r16337, r16324, r16327, MPFR_RNDN); mpfr_div(r16338, r16327, r16337, MPFR_RNDN); mpfr_sqr(r16339, r16320, MPFR_RNDN); mpfr_div(r16340, r16339, r16324, MPFR_RNDN); mpfr_mul(r16341, r16327, r16340, MPFR_RNDN); mpfr_fma(r16342, r16336, r16338, r16341, MPFR_RNDN); mpfr_mul(r16343, r16324, r16324, MPFR_RNDN); mpfr_mul(r16343, r16343, r16324, MPFR_RNDN); mpfr_div(r16344, r16339, r16343, MPFR_RNDN); mpfr_mul(r16345, r16327, r16327, MPFR_RNDN); mpfr_mul(r16345, r16345, r16327, MPFR_RNDN); ; mpfr_mul(r16347, r16320, r16320, MPFR_RNDN); mpfr_mul(r16347, r16347, r16320, MPFR_RNDN); mpfr_mul(r16348, r16346, r16347, MPFR_RNDN); mpfr_fma(r16349, r16344, r16345, r16348, MPFR_RNDN); mpfr_add(r16350, r16342, r16349, MPFR_RNDN); ; mpfr_pow(r16352, r16324, r16351, MPFR_RNDN); mpfr_div(r16353, r16347, r16352, MPFR_RNDN); mpfr_pow(r16354, r16327, r16351, MPFR_RNDN); ; mpfr_div(r16356, r16355, r16324, MPFR_RNDN); mpfr_mul(r16357, r16327, r16327, MPFR_RNDN); mpfr_div(r16358, r16324, r16347, MPFR_RNDN); mpfr_div(r16359, r16357, r16358, MPFR_RNDN); mpfr_fma(r16360, r16356, r16359, r16320, MPFR_RNDN); mpfr_fma(r16361, r16353, r16354, r16360, MPFR_RNDN); mpfr_add(r16362, r16350, r16361, MPFR_RNDN); if (mpfr_get_si(r16335, MPFR_RNDN)) { mpfr_set(r16363, r16362, MPFR_RNDN); } else { mpfr_set(r16363, r16333, MPFR_RNDN); }; if (mpfr_get_si(r16322, MPFR_RNDN)) { mpfr_set(r16364, r16333, MPFR_RNDN); } else { mpfr_set(r16364, r16363, MPFR_RNDN); }; return mpfr_get_d(r16364, MPFR_RNDN); } static mpfr_t r16365, r16366, r16367, r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376, r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408, r16409; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16365); mpfr_init_set_str(r16366, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16367); mpfr_init(r16368); mpfr_init(r16369); mpfr_init(r16370); mpfr_init(r16371); mpfr_init(r16372); mpfr_init(r16373); mpfr_init(r16374); mpfr_init(r16375); mpfr_init(r16376); mpfr_init(r16377); mpfr_init(r16378); mpfr_init_set_str(r16379, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16380); mpfr_init(r16381); mpfr_init(r16382); mpfr_init(r16383); mpfr_init(r16384); mpfr_init(r16385); mpfr_init(r16386); mpfr_init(r16387); mpfr_init(r16388); mpfr_init(r16389); mpfr_init(r16390); mpfr_init_set_str(r16391, "1/3", 10, MPFR_RNDN); mpfr_init(r16392); mpfr_init(r16393); mpfr_init(r16394); mpfr_init(r16395); mpfr_init_set_str(r16396, "4", 10, MPFR_RNDN); mpfr_init(r16397); mpfr_init(r16398); mpfr_init(r16399); mpfr_init_set_str(r16400, "4/3", 10, MPFR_RNDN); mpfr_init(r16401); mpfr_init(r16402); mpfr_init(r16403); mpfr_init(r16404); mpfr_init(r16405); mpfr_init(r16406); mpfr_init(r16407); mpfr_init(r16408); mpfr_init(r16409); } double f_dm(double x, double eps) { mpfr_set_d(r16365, eps, MPFR_RNDN); ; mpfr_set_si(r16367, mpfr_cmp(r16365, r16366) <= 0, MPFR_RNDN); mpfr_set_d(r16368, x, MPFR_RNDN); mpfr_cos(r16369, r16368, MPFR_RNDN); mpfr_add(r16370, r16365, r16368, MPFR_RNDN); mpfr_cot(r16371, r16370, MPFR_RNDN); mpfr_sin(r16372, r16368, MPFR_RNDN); mpfr_mul(r16373, r16371, r16372, MPFR_RNDN); mpfr_sub(r16374, r16369, r16373, MPFR_RNDN); mpfr_add(r16375, r16368, r16365, MPFR_RNDN); mpfr_cot(r16376, r16375, MPFR_RNDN); mpfr_mul(r16377, r16376, r16369, MPFR_RNDN); mpfr_div(r16378, r16374, r16377, MPFR_RNDN); ; mpfr_set_si(r16380, mpfr_cmp(r16365, r16379) <= 0, MPFR_RNDN); mpfr_div(r16381, r16365, r16369, MPFR_RNDN); mpfr_div(r16382, r16369, r16372, MPFR_RNDN); mpfr_div(r16383, r16372, r16382, MPFR_RNDN); mpfr_sqr(r16384, r16365, MPFR_RNDN); mpfr_div(r16385, r16384, r16369, MPFR_RNDN); mpfr_mul(r16386, r16372, r16385, MPFR_RNDN); mpfr_fma(r16387, r16381, r16383, r16386, MPFR_RNDN); mpfr_mul(r16388, r16369, r16369, MPFR_RNDN); mpfr_mul(r16388, r16388, r16369, MPFR_RNDN); mpfr_div(r16389, r16384, r16388, MPFR_RNDN); mpfr_mul(r16390, r16372, r16372, MPFR_RNDN); mpfr_mul(r16390, r16390, r16372, MPFR_RNDN); ; mpfr_mul(r16392, r16365, r16365, MPFR_RNDN); mpfr_mul(r16392, r16392, r16365, MPFR_RNDN); mpfr_mul(r16393, r16391, r16392, MPFR_RNDN); mpfr_fma(r16394, r16389, r16390, r16393, MPFR_RNDN); mpfr_add(r16395, r16387, r16394, MPFR_RNDN); ; mpfr_pow(r16397, r16369, r16396, MPFR_RNDN); mpfr_div(r16398, r16392, r16397, MPFR_RNDN); mpfr_pow(r16399, r16372, r16396, MPFR_RNDN); ; mpfr_div(r16401, r16400, r16369, MPFR_RNDN); mpfr_mul(r16402, r16372, r16372, MPFR_RNDN); mpfr_div(r16403, r16369, r16392, MPFR_RNDN); mpfr_div(r16404, r16402, r16403, MPFR_RNDN); mpfr_fma(r16405, r16401, r16404, r16365, MPFR_RNDN); mpfr_fma(r16406, r16398, r16399, r16405, MPFR_RNDN); mpfr_add(r16407, r16395, r16406, MPFR_RNDN); if (mpfr_get_si(r16380, MPFR_RNDN)) { mpfr_set(r16408, r16407, MPFR_RNDN); } else { mpfr_set(r16408, r16378, MPFR_RNDN); }; if (mpfr_get_si(r16367, MPFR_RNDN)) { mpfr_set(r16409, r16378, MPFR_RNDN); } else { mpfr_set(r16409, r16408, MPFR_RNDN); }; return mpfr_get_d(r16409, MPFR_RNDN); }