#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16260 = x; float r16261 = eps; float r16262 = r16260 + r16261; float r16263 = tan(r16262); float r16264 = tan(r16260); float r16265 = r16263 - r16264; return r16265; } double f_id(double x, double eps) { double r16266 = x; double r16267 = eps; double r16268 = r16266 + r16267; double r16269 = tan(r16268); double r16270 = tan(r16266); double r16271 = r16269 - r16270; return r16271; } double f_of(float x, float eps) { float r16272 = eps; float r16273 = -0.014078606851398945f; bool r16274 = r16272 <= r16273; float r16275 = 1.0f; float r16276 = x; float r16277 = r16276 + r16272; float r16278 = 1.0 / tan(r16277); float r16279 = r16275 / r16278; float r16280 = tan(r16276); float r16281 = r16279 - r16280; float r16282 = 3.192056179046631f; bool r16283 = r16272 <= r16282; float r16284 = cos(r16276); float r16285 = r16272 / r16284; float r16286 = sin(r16276); float r16287 = r16284 / r16286; float r16288 = r16286 / r16287; float r16289 = r16272 * r16272; float r16290 = r16289 / r16284; float r16291 = r16286 * r16290; float r16292 = fma(r16285, r16288, r16291); float r16293 = r16284 * (r16284 * r16284); float r16294 = r16289 / r16293; float r16295 = r16286 * (r16286 * r16286); float r16296 = 0.3333333432674408f; float r16297 = r16272 * (r16272 * r16272); float r16298 = r16296 * r16297; float r16299 = fma(r16294, r16295, r16298); float r16300 = r16292 + r16299; float r16301 = 4.0f; float r16302 = pow(r16284, r16301); float r16303 = r16297 / r16302; float r16304 = pow(r16286, r16301); float r16305 = 1.3333333730697632f; float r16306 = r16305 / r16284; float r16307 = r16286 * r16286; float r16308 = r16284 / r16297; float r16309 = r16307 / r16308; float r16310 = fma(r16306, r16309, r16272); float r16311 = fma(r16303, r16304, r16310); float r16312 = r16300 + r16311; float r16313 = r16283 ? r16312 : r16281; float r16314 = r16274 ? r16281 : r16313; return r16314; } double f_od(double x, double eps) { double r16315 = eps; double r16316 = -0.014078606851398945; bool r16317 = r16315 <= r16316; double r16318 = 1.0; double r16319 = x; double r16320 = r16319 + r16315; double r16321 = 1.0 / tan(r16320); double r16322 = r16318 / r16321; double r16323 = tan(r16319); double r16324 = r16322 - r16323; double r16325 = 3.192056179046631; bool r16326 = r16315 <= r16325; double r16327 = cos(r16319); double r16328 = r16315 / r16327; double r16329 = sin(r16319); double r16330 = r16327 / r16329; double r16331 = r16329 / r16330; double r16332 = r16315 * r16315; double r16333 = r16332 / r16327; double r16334 = r16329 * r16333; double r16335 = fma(r16328, r16331, r16334); double r16336 = r16327 * (r16327 * r16327); double r16337 = r16332 / r16336; double r16338 = r16329 * (r16329 * r16329); double r16339 = 0.3333333432674408; double r16340 = r16315 * (r16315 * r16315); double r16341 = r16339 * r16340; double r16342 = fma(r16337, r16338, r16341); double r16343 = r16335 + r16342; double r16344 = 4.0; double r16345 = pow(r16327, r16344); double r16346 = r16340 / r16345; double r16347 = pow(r16329, r16344); double r16348 = 1.3333333730697632; double r16349 = r16348 / r16327; double r16350 = r16329 * r16329; double r16351 = r16327 / r16340; double r16352 = r16350 / r16351; double r16353 = fma(r16349, r16352, r16315); double r16354 = fma(r16346, r16347, r16353); double r16355 = r16343 + r16354; double r16356 = r16326 ? r16355 : r16324; double r16357 = r16317 ? r16324 : r16356; return r16357; } 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 r16358, r16359, r16360, r16361, r16362, r16363; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16358); mpfr_init(r16359); mpfr_init(r16360); mpfr_init(r16361); mpfr_init(r16362); mpfr_init(r16363); } double f_im(double x, double eps) { mpfr_set_d(r16358, x, MPFR_RNDN); mpfr_set_d(r16359, eps, MPFR_RNDN); mpfr_add(r16360, r16358, r16359, MPFR_RNDN); mpfr_tan(r16361, r16360, MPFR_RNDN); mpfr_tan(r16362, r16358, MPFR_RNDN); mpfr_sub(r16363, r16361, r16362, MPFR_RNDN); return mpfr_get_d(r16363, MPFR_RNDN); } static mpfr_t r16364, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16364); mpfr_init_set_str(r16365, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16366); mpfr_init_set_str(r16367, "1", 10, MPFR_RNDN); mpfr_init(r16368); mpfr_init(r16369); mpfr_init(r16370); mpfr_init(r16371); mpfr_init(r16372); mpfr_init(r16373); mpfr_init_set_str(r16374, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16375); mpfr_init(r16376); mpfr_init(r16377); mpfr_init(r16378); mpfr_init(r16379); 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_set_str(r16388, "1/3", 10, MPFR_RNDN); mpfr_init(r16389); mpfr_init(r16390); mpfr_init(r16391); mpfr_init(r16392); mpfr_init_set_str(r16393, "4", 10, MPFR_RNDN); mpfr_init(r16394); mpfr_init(r16395); mpfr_init(r16396); mpfr_init_set_str(r16397, "4/3", 10, MPFR_RNDN); mpfr_init(r16398); mpfr_init(r16399); mpfr_init(r16400); mpfr_init(r16401); mpfr_init(r16402); mpfr_init(r16403); mpfr_init(r16404); mpfr_init(r16405); mpfr_init(r16406); } double f_fm(double x, double eps) { mpfr_set_d(r16364, eps, MPFR_RNDN); ; mpfr_set_si(r16366, mpfr_cmp(r16364, r16365) <= 0, MPFR_RNDN); ; mpfr_set_d(r16368, x, MPFR_RNDN); mpfr_add(r16369, r16368, r16364, MPFR_RNDN); mpfr_cot(r16370, r16369, MPFR_RNDN); mpfr_div(r16371, r16367, r16370, MPFR_RNDN); mpfr_tan(r16372, r16368, MPFR_RNDN); mpfr_sub(r16373, r16371, r16372, MPFR_RNDN); ; mpfr_set_si(r16375, mpfr_cmp(r16364, r16374) <= 0, MPFR_RNDN); mpfr_cos(r16376, r16368, MPFR_RNDN); mpfr_div(r16377, r16364, r16376, MPFR_RNDN); mpfr_sin(r16378, r16368, MPFR_RNDN); mpfr_div(r16379, r16376, r16378, MPFR_RNDN); mpfr_div(r16380, r16378, r16379, MPFR_RNDN); mpfr_sqr(r16381, r16364, MPFR_RNDN); mpfr_div(r16382, r16381, r16376, MPFR_RNDN); mpfr_mul(r16383, r16378, r16382, MPFR_RNDN); mpfr_fma(r16384, r16377, r16380, r16383, MPFR_RNDN); mpfr_mul(r16385, r16376, r16376, MPFR_RNDN); mpfr_mul(r16385, r16385, r16376, MPFR_RNDN); mpfr_div(r16386, r16381, r16385, MPFR_RNDN); mpfr_mul(r16387, r16378, r16378, MPFR_RNDN); mpfr_mul(r16387, r16387, r16378, MPFR_RNDN); ; mpfr_mul(r16389, r16364, r16364, MPFR_RNDN); mpfr_mul(r16389, r16389, r16364, MPFR_RNDN); mpfr_mul(r16390, r16388, r16389, MPFR_RNDN); mpfr_fma(r16391, r16386, r16387, r16390, MPFR_RNDN); mpfr_add(r16392, r16384, r16391, MPFR_RNDN); ; mpfr_pow(r16394, r16376, r16393, MPFR_RNDN); mpfr_div(r16395, r16389, r16394, MPFR_RNDN); mpfr_pow(r16396, r16378, r16393, MPFR_RNDN); ; mpfr_div(r16398, r16397, r16376, MPFR_RNDN); mpfr_mul(r16399, r16378, r16378, MPFR_RNDN); mpfr_div(r16400, r16376, r16389, MPFR_RNDN); mpfr_div(r16401, r16399, r16400, MPFR_RNDN); mpfr_fma(r16402, r16398, r16401, r16364, MPFR_RNDN); mpfr_fma(r16403, r16395, r16396, r16402, MPFR_RNDN); mpfr_add(r16404, r16392, r16403, MPFR_RNDN); if (mpfr_get_si(r16375, MPFR_RNDN)) { mpfr_set(r16405, r16404, MPFR_RNDN); } else { mpfr_set(r16405, r16373, MPFR_RNDN); }; if (mpfr_get_si(r16366, MPFR_RNDN)) { mpfr_set(r16406, r16373, MPFR_RNDN); } else { mpfr_set(r16406, r16405, MPFR_RNDN); }; return mpfr_get_d(r16406, MPFR_RNDN); } static mpfr_t r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16407); mpfr_init_set_str(r16408, "-0.014078607f0", 10, MPFR_RNDN); mpfr_init(r16409); mpfr_init_set_str(r16410, "1", 10, MPFR_RNDN); mpfr_init(r16411); mpfr_init(r16412); mpfr_init(r16413); mpfr_init(r16414); mpfr_init(r16415); mpfr_init(r16416); mpfr_init_set_str(r16417, "3.1920562f0", 10, MPFR_RNDN); mpfr_init(r16418); mpfr_init(r16419); mpfr_init(r16420); mpfr_init(r16421); mpfr_init(r16422); mpfr_init(r16423); mpfr_init(r16424); mpfr_init(r16425); mpfr_init(r16426); mpfr_init(r16427); mpfr_init(r16428); mpfr_init(r16429); mpfr_init(r16430); mpfr_init_set_str(r16431, "1/3", 10, MPFR_RNDN); mpfr_init(r16432); mpfr_init(r16433); mpfr_init(r16434); mpfr_init(r16435); mpfr_init_set_str(r16436, "4", 10, MPFR_RNDN); mpfr_init(r16437); mpfr_init(r16438); mpfr_init(r16439); mpfr_init_set_str(r16440, "4/3", 10, MPFR_RNDN); mpfr_init(r16441); mpfr_init(r16442); mpfr_init(r16443); mpfr_init(r16444); mpfr_init(r16445); mpfr_init(r16446); mpfr_init(r16447); mpfr_init(r16448); mpfr_init(r16449); } double f_dm(double x, double eps) { mpfr_set_d(r16407, eps, MPFR_RNDN); ; mpfr_set_si(r16409, mpfr_cmp(r16407, r16408) <= 0, MPFR_RNDN); ; mpfr_set_d(r16411, x, MPFR_RNDN); mpfr_add(r16412, r16411, r16407, MPFR_RNDN); mpfr_cot(r16413, r16412, MPFR_RNDN); mpfr_div(r16414, r16410, r16413, MPFR_RNDN); mpfr_tan(r16415, r16411, MPFR_RNDN); mpfr_sub(r16416, r16414, r16415, MPFR_RNDN); ; mpfr_set_si(r16418, mpfr_cmp(r16407, r16417) <= 0, MPFR_RNDN); mpfr_cos(r16419, r16411, MPFR_RNDN); mpfr_div(r16420, r16407, r16419, MPFR_RNDN); mpfr_sin(r16421, r16411, MPFR_RNDN); mpfr_div(r16422, r16419, r16421, MPFR_RNDN); mpfr_div(r16423, r16421, r16422, MPFR_RNDN); mpfr_sqr(r16424, r16407, MPFR_RNDN); mpfr_div(r16425, r16424, r16419, MPFR_RNDN); mpfr_mul(r16426, r16421, r16425, MPFR_RNDN); mpfr_fma(r16427, r16420, r16423, r16426, MPFR_RNDN); mpfr_mul(r16428, r16419, r16419, MPFR_RNDN); mpfr_mul(r16428, r16428, r16419, MPFR_RNDN); mpfr_div(r16429, r16424, r16428, MPFR_RNDN); mpfr_mul(r16430, r16421, r16421, MPFR_RNDN); mpfr_mul(r16430, r16430, r16421, MPFR_RNDN); ; mpfr_mul(r16432, r16407, r16407, MPFR_RNDN); mpfr_mul(r16432, r16432, r16407, MPFR_RNDN); mpfr_mul(r16433, r16431, r16432, MPFR_RNDN); mpfr_fma(r16434, r16429, r16430, r16433, MPFR_RNDN); mpfr_add(r16435, r16427, r16434, MPFR_RNDN); ; mpfr_pow(r16437, r16419, r16436, MPFR_RNDN); mpfr_div(r16438, r16432, r16437, MPFR_RNDN); mpfr_pow(r16439, r16421, r16436, MPFR_RNDN); ; mpfr_div(r16441, r16440, r16419, MPFR_RNDN); mpfr_mul(r16442, r16421, r16421, MPFR_RNDN); mpfr_div(r16443, r16419, r16432, MPFR_RNDN); mpfr_div(r16444, r16442, r16443, MPFR_RNDN); mpfr_fma(r16445, r16441, r16444, r16407, MPFR_RNDN); mpfr_fma(r16446, r16438, r16439, r16445, MPFR_RNDN); mpfr_add(r16447, r16435, r16446, MPFR_RNDN); if (mpfr_get_si(r16418, MPFR_RNDN)) { mpfr_set(r16448, r16447, MPFR_RNDN); } else { mpfr_set(r16448, r16416, MPFR_RNDN); }; if (mpfr_get_si(r16409, MPFR_RNDN)) { mpfr_set(r16449, r16416, MPFR_RNDN); } else { mpfr_set(r16449, r16448, MPFR_RNDN); }; return mpfr_get_d(r16449, MPFR_RNDN); }