#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16312 = x; float r16313 = eps; float r16314 = r16312 + r16313; float r16315 = tan(r16314); float r16316 = tan(r16312); float r16317 = r16315 - r16316; return r16317; } double f_id(double x, double eps) { double r16318 = x; double r16319 = eps; double r16320 = r16318 + r16319; double r16321 = tan(r16320); double r16322 = tan(r16318); double r16323 = r16321 - r16322; return r16323; } double f_of(float x, float eps) { float r16324 = x; float r16325 = -1.439197376384982e-06f; bool r16326 = r16324 <= r16325; float r16327 = eps; float r16328 = r16327 * (r16327 * r16327); float r16329 = sin(r16324); float r16330 = cos(r16324); float r16331 = r16329 / r16330; float r16332 = r16328 / r16331; float r16333 = r16332 / r16331; float r16334 = 1.3333333730697632f; float r16335 = r16327 / r16331; float r16336 = r16335 / r16331; float r16337 = fma(r16333, r16334, r16336); float r16338 = 4.0f; float r16339 = pow(r16329, r16338); float r16340 = r16328 / r16339; float r16341 = pow(r16330, r16338); float r16342 = 0.3333333432674408f; float r16343 = fma(r16328, r16342, r16327); float r16344 = fma(r16340, r16341, r16343); float r16345 = r16327 * r16327; float r16346 = r16329 * (r16329 * r16329); float r16347 = r16345 / r16346; float r16348 = r16330 * (r16330 * r16330); float r16349 = r16330 * r16345; float r16350 = r16349 / r16329; float r16351 = fma(r16347, r16348, r16350); float r16352 = r16344 - r16351; float r16353 = r16337 + r16352; float r16354 = r16327 + r16324; float r16355 = 1.0 / tan(r16354); float r16356 = 1.0 / tan(r16324); float r16357 = r16355 * r16356; float r16358 = r16353 / r16357; float r16359 = 1.804030398488976e-05f; bool r16360 = r16324 <= r16359; float r16361 = 1.0f; float r16362 = r16361 / r16327; float r16363 = r16361 / r16324; float r16364 = r16362 + r16363; float r16365 = cos(r16364); float r16366 = 0.1666666716337204f; float r16367 = r16324 * (r16324 * r16324); float r16368 = r16366 / r16367; float r16369 = r16364 - r16368; float r16370 = r16365 / r16369; float r16371 = r16356 - r16370; float r16372 = r16356 * r16355; float r16373 = r16371 / r16372; float r16374 = r16360 ? r16373 : r16358; float r16375 = r16326 ? r16358 : r16374; return r16375; } double f_od(double x, double eps) { double r16376 = x; double r16377 = -1.439197376384982e-06; bool r16378 = r16376 <= r16377; double r16379 = eps; double r16380 = r16379 * (r16379 * r16379); double r16381 = sin(r16376); double r16382 = cos(r16376); double r16383 = r16381 / r16382; double r16384 = r16380 / r16383; double r16385 = r16384 / r16383; double r16386 = 1.3333333730697632; double r16387 = r16379 / r16383; double r16388 = r16387 / r16383; double r16389 = fma(r16385, r16386, r16388); double r16390 = 4.0; double r16391 = pow(r16381, r16390); double r16392 = r16380 / r16391; double r16393 = pow(r16382, r16390); double r16394 = 0.3333333432674408; double r16395 = fma(r16380, r16394, r16379); double r16396 = fma(r16392, r16393, r16395); double r16397 = r16379 * r16379; double r16398 = r16381 * (r16381 * r16381); double r16399 = r16397 / r16398; double r16400 = r16382 * (r16382 * r16382); double r16401 = r16382 * r16397; double r16402 = r16401 / r16381; double r16403 = fma(r16399, r16400, r16402); double r16404 = r16396 - r16403; double r16405 = r16389 + r16404; double r16406 = r16379 + r16376; double r16407 = 1.0 / tan(r16406); double r16408 = 1.0 / tan(r16376); double r16409 = r16407 * r16408; double r16410 = r16405 / r16409; double r16411 = 1.804030398488976e-05; bool r16412 = r16376 <= r16411; double r16413 = 1.0; double r16414 = r16413 / r16379; double r16415 = r16413 / r16376; double r16416 = r16414 + r16415; double r16417 = cos(r16416); double r16418 = 0.1666666716337204; double r16419 = r16376 * (r16376 * r16376); double r16420 = r16418 / r16419; double r16421 = r16416 - r16420; double r16422 = r16417 / r16421; double r16423 = r16408 - r16422; double r16424 = r16408 * r16407; double r16425 = r16423 / r16424; double r16426 = r16412 ? r16425 : r16410; double r16427 = r16378 ? r16410 : r16426; return r16427; } 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 r16428, r16429, r16430, r16431, r16432, r16433; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16428); mpfr_init(r16429); mpfr_init(r16430); mpfr_init(r16431); mpfr_init(r16432); mpfr_init(r16433); } double f_im(double x, double eps) { mpfr_set_d(r16428, x, MPFR_RNDN); mpfr_set_d(r16429, eps, MPFR_RNDN); mpfr_add(r16430, r16428, r16429, MPFR_RNDN); mpfr_tan(r16431, r16430, MPFR_RNDN); mpfr_tan(r16432, r16428, MPFR_RNDN); mpfr_sub(r16433, r16431, r16432, MPFR_RNDN); return mpfr_get_d(r16433, MPFR_RNDN); } static mpfr_t r16434, r16435, r16436, r16437, r16438, r16439, r16440, r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461, r16462, r16463, r16464, r16465, r16466, r16467, r16468, r16469, r16470, r16471, r16472, r16473, r16474, r16475, r16476, r16477, r16478, r16479, r16480, r16481, r16482, r16483, r16484, r16485; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16434); mpfr_init_set_str(r16435, "-1.4391974f-06", 10, MPFR_RNDN); mpfr_init(r16436); mpfr_init(r16437); mpfr_init(r16438); mpfr_init(r16439); mpfr_init(r16440); mpfr_init(r16441); mpfr_init(r16442); mpfr_init(r16443); mpfr_init_set_str(r16444, "4/3", 10, MPFR_RNDN); mpfr_init(r16445); mpfr_init(r16446); mpfr_init(r16447); mpfr_init_set_str(r16448, "4", 10, MPFR_RNDN); mpfr_init(r16449); mpfr_init(r16450); mpfr_init(r16451); mpfr_init_set_str(r16452, "1/3", 10, MPFR_RNDN); mpfr_init(r16453); mpfr_init(r16454); mpfr_init(r16455); mpfr_init(r16456); mpfr_init(r16457); mpfr_init(r16458); mpfr_init(r16459); mpfr_init(r16460); mpfr_init(r16461); mpfr_init(r16462); mpfr_init(r16463); mpfr_init(r16464); mpfr_init(r16465); mpfr_init(r16466); mpfr_init(r16467); mpfr_init(r16468); mpfr_init_set_str(r16469, "1.8040304f-05", 10, MPFR_RNDN); mpfr_init(r16470); mpfr_init_set_str(r16471, "1", 10, MPFR_RNDN); mpfr_init(r16472); mpfr_init(r16473); mpfr_init(r16474); mpfr_init(r16475); mpfr_init_set_str(r16476, "1/6", 10, MPFR_RNDN); mpfr_init(r16477); mpfr_init(r16478); mpfr_init(r16479); mpfr_init(r16480); mpfr_init(r16481); mpfr_init(r16482); mpfr_init(r16483); mpfr_init(r16484); mpfr_init(r16485); } double f_fm(double x, double eps) { mpfr_set_d(r16434, x, MPFR_RNDN); ; mpfr_set_si(r16436, mpfr_cmp(r16434, r16435) <= 0, MPFR_RNDN); mpfr_set_d(r16437, eps, MPFR_RNDN); mpfr_mul(r16438, r16437, r16437, MPFR_RNDN); mpfr_mul(r16438, r16438, r16437, MPFR_RNDN); mpfr_sin(r16439, r16434, MPFR_RNDN); mpfr_cos(r16440, r16434, MPFR_RNDN); mpfr_div(r16441, r16439, r16440, MPFR_RNDN); mpfr_div(r16442, r16438, r16441, MPFR_RNDN); mpfr_div(r16443, r16442, r16441, MPFR_RNDN); ; mpfr_div(r16445, r16437, r16441, MPFR_RNDN); mpfr_div(r16446, r16445, r16441, MPFR_RNDN); mpfr_fma(r16447, r16443, r16444, r16446, MPFR_RNDN); ; mpfr_pow(r16449, r16439, r16448, MPFR_RNDN); mpfr_div(r16450, r16438, r16449, MPFR_RNDN); mpfr_pow(r16451, r16440, r16448, MPFR_RNDN); ; mpfr_fma(r16453, r16438, r16452, r16437, MPFR_RNDN); mpfr_fma(r16454, r16450, r16451, r16453, MPFR_RNDN); mpfr_sqr(r16455, r16437, MPFR_RNDN); mpfr_mul(r16456, r16439, r16439, MPFR_RNDN); mpfr_mul(r16456, r16456, r16439, MPFR_RNDN); mpfr_div(r16457, r16455, r16456, MPFR_RNDN); mpfr_mul(r16458, r16440, r16440, MPFR_RNDN); mpfr_mul(r16458, r16458, r16440, MPFR_RNDN); mpfr_mul(r16459, r16440, r16455, MPFR_RNDN); mpfr_div(r16460, r16459, r16439, MPFR_RNDN); mpfr_fma(r16461, r16457, r16458, r16460, MPFR_RNDN); mpfr_sub(r16462, r16454, r16461, MPFR_RNDN); mpfr_add(r16463, r16447, r16462, MPFR_RNDN); mpfr_add(r16464, r16437, r16434, MPFR_RNDN); mpfr_cot(r16465, r16464, MPFR_RNDN); mpfr_cot(r16466, r16434, MPFR_RNDN); mpfr_mul(r16467, r16465, r16466, MPFR_RNDN); mpfr_div(r16468, r16463, r16467, MPFR_RNDN); ; mpfr_set_si(r16470, mpfr_cmp(r16434, r16469) <= 0, MPFR_RNDN); ; mpfr_div(r16472, r16471, r16437, MPFR_RNDN); mpfr_div(r16473, r16471, r16434, MPFR_RNDN); mpfr_add(r16474, r16472, r16473, MPFR_RNDN); mpfr_cos(r16475, r16474, MPFR_RNDN); ; mpfr_mul(r16477, r16434, r16434, MPFR_RNDN); mpfr_mul(r16477, r16477, r16434, MPFR_RNDN); mpfr_div(r16478, r16476, r16477, MPFR_RNDN); mpfr_sub(r16479, r16474, r16478, MPFR_RNDN); mpfr_div(r16480, r16475, r16479, MPFR_RNDN); mpfr_sub(r16481, r16466, r16480, MPFR_RNDN); mpfr_mul(r16482, r16466, r16465, MPFR_RNDN); mpfr_div(r16483, r16481, r16482, MPFR_RNDN); if (mpfr_get_si(r16470, MPFR_RNDN)) { mpfr_set(r16484, r16483, MPFR_RNDN); } else { mpfr_set(r16484, r16468, MPFR_RNDN); }; if (mpfr_get_si(r16436, MPFR_RNDN)) { mpfr_set(r16485, r16468, MPFR_RNDN); } else { mpfr_set(r16485, r16484, MPFR_RNDN); }; return mpfr_get_d(r16485, MPFR_RNDN); } static mpfr_t r16486, r16487, r16488, r16489, r16490, r16491, r16492, r16493, r16494, r16495, r16496, r16497, r16498, r16499, r16500, r16501, r16502, r16503, r16504, r16505, r16506, r16507, r16508, r16509, r16510, r16511, r16512, r16513, r16514, r16515, r16516, r16517, r16518, r16519, r16520, r16521, r16522, r16523, r16524, r16525, r16526, r16527, r16528, r16529, r16530, r16531, r16532, r16533, r16534, r16535, r16536, r16537; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16486); mpfr_init_set_str(r16487, "-1.4391974f-06", 10, MPFR_RNDN); mpfr_init(r16488); mpfr_init(r16489); mpfr_init(r16490); mpfr_init(r16491); mpfr_init(r16492); mpfr_init(r16493); mpfr_init(r16494); mpfr_init(r16495); mpfr_init_set_str(r16496, "4/3", 10, MPFR_RNDN); mpfr_init(r16497); mpfr_init(r16498); mpfr_init(r16499); mpfr_init_set_str(r16500, "4", 10, MPFR_RNDN); mpfr_init(r16501); mpfr_init(r16502); mpfr_init(r16503); mpfr_init_set_str(r16504, "1/3", 10, MPFR_RNDN); mpfr_init(r16505); mpfr_init(r16506); mpfr_init(r16507); mpfr_init(r16508); mpfr_init(r16509); mpfr_init(r16510); mpfr_init(r16511); mpfr_init(r16512); mpfr_init(r16513); mpfr_init(r16514); mpfr_init(r16515); mpfr_init(r16516); mpfr_init(r16517); mpfr_init(r16518); mpfr_init(r16519); mpfr_init(r16520); mpfr_init_set_str(r16521, "1.8040304f-05", 10, MPFR_RNDN); mpfr_init(r16522); mpfr_init_set_str(r16523, "1", 10, MPFR_RNDN); mpfr_init(r16524); mpfr_init(r16525); mpfr_init(r16526); mpfr_init(r16527); mpfr_init_set_str(r16528, "1/6", 10, MPFR_RNDN); mpfr_init(r16529); mpfr_init(r16530); mpfr_init(r16531); mpfr_init(r16532); mpfr_init(r16533); mpfr_init(r16534); mpfr_init(r16535); mpfr_init(r16536); mpfr_init(r16537); } double f_dm(double x, double eps) { mpfr_set_d(r16486, x, MPFR_RNDN); ; mpfr_set_si(r16488, mpfr_cmp(r16486, r16487) <= 0, MPFR_RNDN); mpfr_set_d(r16489, eps, MPFR_RNDN); mpfr_mul(r16490, r16489, r16489, MPFR_RNDN); mpfr_mul(r16490, r16490, r16489, MPFR_RNDN); mpfr_sin(r16491, r16486, MPFR_RNDN); mpfr_cos(r16492, r16486, MPFR_RNDN); mpfr_div(r16493, r16491, r16492, MPFR_RNDN); mpfr_div(r16494, r16490, r16493, MPFR_RNDN); mpfr_div(r16495, r16494, r16493, MPFR_RNDN); ; mpfr_div(r16497, r16489, r16493, MPFR_RNDN); mpfr_div(r16498, r16497, r16493, MPFR_RNDN); mpfr_fma(r16499, r16495, r16496, r16498, MPFR_RNDN); ; mpfr_pow(r16501, r16491, r16500, MPFR_RNDN); mpfr_div(r16502, r16490, r16501, MPFR_RNDN); mpfr_pow(r16503, r16492, r16500, MPFR_RNDN); ; mpfr_fma(r16505, r16490, r16504, r16489, MPFR_RNDN); mpfr_fma(r16506, r16502, r16503, r16505, MPFR_RNDN); mpfr_sqr(r16507, r16489, MPFR_RNDN); mpfr_mul(r16508, r16491, r16491, MPFR_RNDN); mpfr_mul(r16508, r16508, r16491, MPFR_RNDN); mpfr_div(r16509, r16507, r16508, MPFR_RNDN); mpfr_mul(r16510, r16492, r16492, MPFR_RNDN); mpfr_mul(r16510, r16510, r16492, MPFR_RNDN); mpfr_mul(r16511, r16492, r16507, MPFR_RNDN); mpfr_div(r16512, r16511, r16491, MPFR_RNDN); mpfr_fma(r16513, r16509, r16510, r16512, MPFR_RNDN); mpfr_sub(r16514, r16506, r16513, MPFR_RNDN); mpfr_add(r16515, r16499, r16514, MPFR_RNDN); mpfr_add(r16516, r16489, r16486, MPFR_RNDN); mpfr_cot(r16517, r16516, MPFR_RNDN); mpfr_cot(r16518, r16486, MPFR_RNDN); mpfr_mul(r16519, r16517, r16518, MPFR_RNDN); mpfr_div(r16520, r16515, r16519, MPFR_RNDN); ; mpfr_set_si(r16522, mpfr_cmp(r16486, r16521) <= 0, MPFR_RNDN); ; mpfr_div(r16524, r16523, r16489, MPFR_RNDN); mpfr_div(r16525, r16523, r16486, MPFR_RNDN); mpfr_add(r16526, r16524, r16525, MPFR_RNDN); mpfr_cos(r16527, r16526, MPFR_RNDN); ; mpfr_mul(r16529, r16486, r16486, MPFR_RNDN); mpfr_mul(r16529, r16529, r16486, MPFR_RNDN); mpfr_div(r16530, r16528, r16529, MPFR_RNDN); mpfr_sub(r16531, r16526, r16530, MPFR_RNDN); mpfr_div(r16532, r16527, r16531, MPFR_RNDN); mpfr_sub(r16533, r16518, r16532, MPFR_RNDN); mpfr_mul(r16534, r16518, r16517, MPFR_RNDN); mpfr_div(r16535, r16533, r16534, MPFR_RNDN); if (mpfr_get_si(r16522, MPFR_RNDN)) { mpfr_set(r16536, r16535, MPFR_RNDN); } else { mpfr_set(r16536, r16520, MPFR_RNDN); }; if (mpfr_get_si(r16488, MPFR_RNDN)) { mpfr_set(r16537, r16520, MPFR_RNDN); } else { mpfr_set(r16537, r16536, MPFR_RNDN); }; return mpfr_get_d(r16537, MPFR_RNDN); }