#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16236 = x; float r16237 = eps; float r16238 = r16236 + r16237; float r16239 = tan(r16238); float r16240 = tan(r16236); float r16241 = r16239 - r16240; return r16241; } double f_id(double x, double eps) { double r16242 = x; double r16243 = eps; double r16244 = r16242 + r16243; double r16245 = tan(r16244); double r16246 = tan(r16242); double r16247 = r16245 - r16246; return r16247; } double f_of(float x, float eps) { float r16248 = eps; float r16249 = -6.349368961717618e-07f; bool r16250 = r16248 <= r16249; float r16251 = x; float r16252 = r16251 + r16248; float r16253 = sin(r16252); float r16254 = cos(r16251); float r16255 = cos(r16248); float r16256 = r16254 * r16255; float r16257 = sin(r16251); float r16258 = sin(r16248); float r16259 = r16257 * r16258; float r16260 = r16256 - r16259; float r16261 = r16253 / r16260; float r16262 = tan(r16251); float r16263 = r16261 - r16262; float r16264 = 0.0441511379087146f; bool r16265 = r16248 <= r16264; float r16266 = r16248 / r16254; float r16267 = r16254 / r16257; float r16268 = r16257 / r16267; float r16269 = r16248 * r16248; float r16270 = r16269 / r16254; float r16271 = r16257 * r16270; float r16272 = fma(r16266, r16268, r16271); float r16273 = r16254 * (r16254 * r16254); float r16274 = r16269 / r16273; float r16275 = r16257 * (r16257 * r16257); float r16276 = 0.3333333333333333f; float r16277 = r16248 * (r16248 * r16248); float r16278 = r16276 * r16277; float r16279 = fma(r16274, r16275, r16278); float r16280 = r16272 + r16279; float r16281 = 4.0f; float r16282 = pow(r16254, r16281); float r16283 = r16277 / r16282; float r16284 = pow(r16257, r16281); float r16285 = 1.3333333333333333f; float r16286 = r16285 / r16254; float r16287 = r16257 * r16257; float r16288 = r16254 / r16277; float r16289 = r16287 / r16288; float r16290 = fma(r16286, r16289, r16248); float r16291 = fma(r16283, r16284, r16290); float r16292 = r16280 + r16291; float r16293 = r16265 ? r16292 : r16263; float r16294 = r16250 ? r16263 : r16293; return r16294; } double f_od(double x, double eps) { double r16295 = eps; double r16296 = -6.349368961717618e-07; bool r16297 = r16295 <= r16296; double r16298 = x; double r16299 = r16298 + r16295; double r16300 = sin(r16299); double r16301 = cos(r16298); double r16302 = cos(r16295); double r16303 = r16301 * r16302; double r16304 = sin(r16298); double r16305 = sin(r16295); double r16306 = r16304 * r16305; double r16307 = r16303 - r16306; double r16308 = r16300 / r16307; double r16309 = tan(r16298); double r16310 = r16308 - r16309; double r16311 = 0.0441511379087146; bool r16312 = r16295 <= r16311; double r16313 = r16295 / r16301; double r16314 = r16301 / r16304; double r16315 = r16304 / r16314; double r16316 = r16295 * r16295; double r16317 = r16316 / r16301; double r16318 = r16304 * r16317; double r16319 = fma(r16313, r16315, r16318); double r16320 = r16301 * (r16301 * r16301); double r16321 = r16316 / r16320; double r16322 = r16304 * (r16304 * r16304); double r16323 = 0.3333333333333333; double r16324 = r16295 * (r16295 * r16295); double r16325 = r16323 * r16324; double r16326 = fma(r16321, r16322, r16325); double r16327 = r16319 + r16326; double r16328 = 4.0; double r16329 = pow(r16301, r16328); double r16330 = r16324 / r16329; double r16331 = pow(r16304, r16328); double r16332 = 1.3333333333333333; double r16333 = r16332 / r16301; double r16334 = r16304 * r16304; double r16335 = r16301 / r16324; double r16336 = r16334 / r16335; double r16337 = fma(r16333, r16336, r16295); double r16338 = fma(r16330, r16331, r16337); double r16339 = r16327 + r16338; double r16340 = r16312 ? r16339 : r16310; double r16341 = r16297 ? r16310 : r16340; return r16341; } 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 r16342, r16343, r16344, r16345, r16346, r16347; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16342); mpfr_init(r16343); mpfr_init(r16344); mpfr_init(r16345); mpfr_init(r16346); mpfr_init(r16347); } double f_im(double x, double eps) { mpfr_set_d(r16342, x, MPFR_RNDN); mpfr_set_d(r16343, eps, MPFR_RNDN); mpfr_add(r16344, r16342, r16343, MPFR_RNDN); mpfr_tan(r16345, r16344, MPFR_RNDN); mpfr_tan(r16346, r16342, MPFR_RNDN); mpfr_sub(r16347, r16345, r16346, MPFR_RNDN); return mpfr_get_d(r16347, MPFR_RNDN); } static mpfr_t r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356, r16357, r16358, r16359, r16360, r16361, r16362, r16363, 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; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16348); mpfr_init_set_str(r16349, "-6.349368961717618e-07", 10, MPFR_RNDN); mpfr_init(r16350); mpfr_init(r16351); mpfr_init(r16352); mpfr_init(r16353); mpfr_init(r16354); mpfr_init(r16355); 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_set_str(r16364, "0.0441511379087146", 10, MPFR_RNDN); mpfr_init(r16365); mpfr_init(r16366); 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_set_str(r16376, "1/3", 10, MPFR_RNDN); mpfr_init(r16377); mpfr_init(r16378); mpfr_init(r16379); mpfr_init(r16380); mpfr_init_set_str(r16381, "4", 10, MPFR_RNDN); mpfr_init(r16382); mpfr_init(r16383); mpfr_init(r16384); mpfr_init_set_str(r16385, "4/3", 10, MPFR_RNDN); mpfr_init(r16386); mpfr_init(r16387); mpfr_init(r16388); mpfr_init(r16389); mpfr_init(r16390); mpfr_init(r16391); mpfr_init(r16392); mpfr_init(r16393); mpfr_init(r16394); } double f_fm(double x, double eps) { mpfr_set_d(r16348, eps, MPFR_RNDN); ; mpfr_set_si(r16350, mpfr_cmp(r16348, r16349) <= 0, MPFR_RNDN); mpfr_set_d(r16351, x, MPFR_RNDN); mpfr_add(r16352, r16351, r16348, MPFR_RNDN); mpfr_sin(r16353, r16352, MPFR_RNDN); mpfr_cos(r16354, r16351, MPFR_RNDN); mpfr_cos(r16355, r16348, MPFR_RNDN); mpfr_mul(r16356, r16354, r16355, MPFR_RNDN); mpfr_sin(r16357, r16351, MPFR_RNDN); mpfr_sin(r16358, r16348, MPFR_RNDN); mpfr_mul(r16359, r16357, r16358, MPFR_RNDN); mpfr_sub(r16360, r16356, r16359, MPFR_RNDN); mpfr_div(r16361, r16353, r16360, MPFR_RNDN); mpfr_tan(r16362, r16351, MPFR_RNDN); mpfr_sub(r16363, r16361, r16362, MPFR_RNDN); ; mpfr_set_si(r16365, mpfr_cmp(r16348, r16364) <= 0, MPFR_RNDN); mpfr_div(r16366, r16348, r16354, MPFR_RNDN); mpfr_div(r16367, r16354, r16357, MPFR_RNDN); mpfr_div(r16368, r16357, r16367, MPFR_RNDN); mpfr_sqr(r16369, r16348, MPFR_RNDN); mpfr_div(r16370, r16369, r16354, MPFR_RNDN); mpfr_mul(r16371, r16357, r16370, MPFR_RNDN); mpfr_fma(r16372, r16366, r16368, r16371, MPFR_RNDN); mpfr_mul(r16373, r16354, r16354, MPFR_RNDN); mpfr_mul(r16373, r16373, r16354, MPFR_RNDN); mpfr_div(r16374, r16369, r16373, MPFR_RNDN); mpfr_mul(r16375, r16357, r16357, MPFR_RNDN); mpfr_mul(r16375, r16375, r16357, MPFR_RNDN); ; mpfr_mul(r16377, r16348, r16348, MPFR_RNDN); mpfr_mul(r16377, r16377, r16348, MPFR_RNDN); mpfr_mul(r16378, r16376, r16377, MPFR_RNDN); mpfr_fma(r16379, r16374, r16375, r16378, MPFR_RNDN); mpfr_add(r16380, r16372, r16379, MPFR_RNDN); ; mpfr_pow(r16382, r16354, r16381, MPFR_RNDN); mpfr_div(r16383, r16377, r16382, MPFR_RNDN); mpfr_pow(r16384, r16357, r16381, MPFR_RNDN); ; mpfr_div(r16386, r16385, r16354, MPFR_RNDN); mpfr_mul(r16387, r16357, r16357, MPFR_RNDN); mpfr_div(r16388, r16354, r16377, MPFR_RNDN); mpfr_div(r16389, r16387, r16388, MPFR_RNDN); mpfr_fma(r16390, r16386, r16389, r16348, MPFR_RNDN); mpfr_fma(r16391, r16383, r16384, r16390, MPFR_RNDN); mpfr_add(r16392, r16380, r16391, MPFR_RNDN); if (mpfr_get_si(r16365, MPFR_RNDN)) { mpfr_set(r16393, r16392, MPFR_RNDN); } else { mpfr_set(r16393, r16363, MPFR_RNDN); }; if (mpfr_get_si(r16350, MPFR_RNDN)) { mpfr_set(r16394, r16363, MPFR_RNDN); } else { mpfr_set(r16394, r16393, MPFR_RNDN); }; return mpfr_get_d(r16394, MPFR_RNDN); } static mpfr_t r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405, r16406, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16395); mpfr_init_set_str(r16396, "-6.349368961717618e-07", 10, MPFR_RNDN); mpfr_init(r16397); 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); mpfr_init(r16407); mpfr_init(r16408); mpfr_init(r16409); mpfr_init(r16410); mpfr_init_set_str(r16411, "0.0441511379087146", 10, MPFR_RNDN); mpfr_init(r16412); mpfr_init(r16413); mpfr_init(r16414); mpfr_init(r16415); mpfr_init(r16416); mpfr_init(r16417); mpfr_init(r16418); mpfr_init(r16419); mpfr_init(r16420); mpfr_init(r16421); mpfr_init(r16422); mpfr_init_set_str(r16423, "1/3", 10, MPFR_RNDN); mpfr_init(r16424); mpfr_init(r16425); mpfr_init(r16426); mpfr_init(r16427); mpfr_init_set_str(r16428, "4", 10, MPFR_RNDN); mpfr_init(r16429); mpfr_init(r16430); mpfr_init(r16431); mpfr_init_set_str(r16432, "4/3", 10, MPFR_RNDN); mpfr_init(r16433); mpfr_init(r16434); mpfr_init(r16435); mpfr_init(r16436); mpfr_init(r16437); mpfr_init(r16438); mpfr_init(r16439); mpfr_init(r16440); mpfr_init(r16441); } double f_dm(double x, double eps) { mpfr_set_d(r16395, eps, MPFR_RNDN); ; mpfr_set_si(r16397, mpfr_cmp(r16395, r16396) <= 0, MPFR_RNDN); mpfr_set_d(r16398, x, MPFR_RNDN); mpfr_add(r16399, r16398, r16395, MPFR_RNDN); mpfr_sin(r16400, r16399, MPFR_RNDN); mpfr_cos(r16401, r16398, MPFR_RNDN); mpfr_cos(r16402, r16395, MPFR_RNDN); mpfr_mul(r16403, r16401, r16402, MPFR_RNDN); mpfr_sin(r16404, r16398, MPFR_RNDN); mpfr_sin(r16405, r16395, MPFR_RNDN); mpfr_mul(r16406, r16404, r16405, MPFR_RNDN); mpfr_sub(r16407, r16403, r16406, MPFR_RNDN); mpfr_div(r16408, r16400, r16407, MPFR_RNDN); mpfr_tan(r16409, r16398, MPFR_RNDN); mpfr_sub(r16410, r16408, r16409, MPFR_RNDN); ; mpfr_set_si(r16412, mpfr_cmp(r16395, r16411) <= 0, MPFR_RNDN); mpfr_div(r16413, r16395, r16401, MPFR_RNDN); mpfr_div(r16414, r16401, r16404, MPFR_RNDN); mpfr_div(r16415, r16404, r16414, MPFR_RNDN); mpfr_sqr(r16416, r16395, MPFR_RNDN); mpfr_div(r16417, r16416, r16401, MPFR_RNDN); mpfr_mul(r16418, r16404, r16417, MPFR_RNDN); mpfr_fma(r16419, r16413, r16415, r16418, MPFR_RNDN); mpfr_mul(r16420, r16401, r16401, MPFR_RNDN); mpfr_mul(r16420, r16420, r16401, MPFR_RNDN); mpfr_div(r16421, r16416, r16420, MPFR_RNDN); mpfr_mul(r16422, r16404, r16404, MPFR_RNDN); mpfr_mul(r16422, r16422, r16404, MPFR_RNDN); ; mpfr_mul(r16424, r16395, r16395, MPFR_RNDN); mpfr_mul(r16424, r16424, r16395, MPFR_RNDN); mpfr_mul(r16425, r16423, r16424, MPFR_RNDN); mpfr_fma(r16426, r16421, r16422, r16425, MPFR_RNDN); mpfr_add(r16427, r16419, r16426, MPFR_RNDN); ; mpfr_pow(r16429, r16401, r16428, MPFR_RNDN); mpfr_div(r16430, r16424, r16429, MPFR_RNDN); mpfr_pow(r16431, r16404, r16428, MPFR_RNDN); ; mpfr_div(r16433, r16432, r16401, MPFR_RNDN); mpfr_mul(r16434, r16404, r16404, MPFR_RNDN); mpfr_div(r16435, r16401, r16424, MPFR_RNDN); mpfr_div(r16436, r16434, r16435, MPFR_RNDN); mpfr_fma(r16437, r16433, r16436, r16395, MPFR_RNDN); mpfr_fma(r16438, r16430, r16431, r16437, MPFR_RNDN); mpfr_add(r16439, r16427, r16438, MPFR_RNDN); if (mpfr_get_si(r16412, MPFR_RNDN)) { mpfr_set(r16440, r16439, MPFR_RNDN); } else { mpfr_set(r16440, r16410, MPFR_RNDN); }; if (mpfr_get_si(r16397, MPFR_RNDN)) { mpfr_set(r16441, r16410, MPFR_RNDN); } else { mpfr_set(r16441, r16440, MPFR_RNDN); }; return mpfr_get_d(r16441, MPFR_RNDN); }