#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15331 = x; float r15332 = eps; float r15333 = r15331 + r15332; float r15334 = cos(r15333); float r15335 = cos(r15331); float r15336 = r15334 - r15335; return r15336; } double f_id(double x, double eps) { double r15337 = x; double r15338 = eps; double r15339 = r15337 + r15338; double r15340 = cos(r15339); double r15341 = cos(r15337); double r15342 = r15340 - r15341; return r15342; } double f_of(float x, float eps) { float r15343 = eps; float r15344 = -7.175399107131671e-12f; bool r15345 = r15343 <= r15344; float r15346 = x; float r15347 = cos(r15346); float r15348 = cos(r15343); float r15349 = r15347 * r15348; float r15350 = sin(r15346); float r15351 = r15350 * (r15350 * r15350); float r15352 = sin(r15343); float r15353 = r15352 * (r15352 * r15352); float r15354 = r15351 * r15353; float r15355 = cbrt(r15354); float r15356 = r15355 + r15347; float r15357 = r15349 - r15356; float r15358 = 17.12856537901564f; bool r15359 = r15343 <= r15358; float r15360 = 0.16666666666666666f; float r15361 = r15343 * r15360; float r15362 = r15350 * r15361; float r15363 = 0.5f; float r15364 = r15363 * r15347; float r15365 = r15362 - r15364; float r15366 = r15343 * r15343; float r15367 = r15365 * r15366; float r15368 = r15343 * r15350; float r15369 = r15367 - r15368; float r15370 = r15348 * r15347; float r15371 = r15352 * r15350; float r15372 = r15370 - r15371; float r15373 = r15372 * (r15372 * r15372); float r15374 = r15347 * (r15347 * r15347); float r15375 = r15373 - r15374; float r15376 = r15350 * r15352; float r15377 = r15349 - r15376; float r15378 = r15377 * r15377; float r15379 = r15347 * r15347; float r15380 = r15377 * r15347; float r15381 = r15379 + r15380; float r15382 = r15378 + r15381; float r15383 = r15375 / r15382; float r15384 = r15359 ? r15369 : r15383; float r15385 = r15345 ? r15357 : r15384; return r15385; } double f_od(double x, double eps) { double r15386 = eps; double r15387 = -7.175399107131671e-12; bool r15388 = r15386 <= r15387; double r15389 = x; double r15390 = cos(r15389); double r15391 = cos(r15386); double r15392 = r15390 * r15391; double r15393 = sin(r15389); double r15394 = r15393 * (r15393 * r15393); double r15395 = sin(r15386); double r15396 = r15395 * (r15395 * r15395); double r15397 = r15394 * r15396; double r15398 = cbrt(r15397); double r15399 = r15398 + r15390; double r15400 = r15392 - r15399; double r15401 = 17.12856537901564; bool r15402 = r15386 <= r15401; double r15403 = 0.16666666666666666; double r15404 = r15386 * r15403; double r15405 = r15393 * r15404; double r15406 = 0.5; double r15407 = r15406 * r15390; double r15408 = r15405 - r15407; double r15409 = r15386 * r15386; double r15410 = r15408 * r15409; double r15411 = r15386 * r15393; double r15412 = r15410 - r15411; double r15413 = r15391 * r15390; double r15414 = r15395 * r15393; double r15415 = r15413 - r15414; double r15416 = r15415 * (r15415 * r15415); double r15417 = r15390 * (r15390 * r15390); double r15418 = r15416 - r15417; double r15419 = r15393 * r15395; double r15420 = r15392 - r15419; double r15421 = r15420 * r15420; double r15422 = r15390 * r15390; double r15423 = r15420 * r15390; double r15424 = r15422 + r15423; double r15425 = r15421 + r15424; double r15426 = r15418 / r15425; double r15427 = r15402 ? r15412 : r15426; double r15428 = r15388 ? r15400 : r15427; return r15428; } 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 r15429, r15430, r15431, r15432, r15433, r15434; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15429); mpfr_init(r15430); mpfr_init(r15431); mpfr_init(r15432); mpfr_init(r15433); mpfr_init(r15434); } double f_im(double x, double eps) { mpfr_set_d(r15429, x, MPFR_RNDN); mpfr_set_d(r15430, eps, MPFR_RNDN); mpfr_add(r15431, r15429, r15430, MPFR_RNDN); mpfr_cos(r15432, r15431, MPFR_RNDN); mpfr_cos(r15433, r15429, MPFR_RNDN); mpfr_sub(r15434, r15432, r15433, MPFR_RNDN); return mpfr_get_d(r15434, MPFR_RNDN); } static mpfr_t r15435, r15436, r15437, r15438, r15439, r15440, r15441, r15442, r15443, r15444, r15445, r15446, r15447, r15448, r15449, r15450, r15451, r15452, r15453, r15454, r15455, r15456, r15457, r15458, r15459, r15460, r15461, r15462, r15463, r15464, r15465, r15466, r15467, r15468, r15469, r15470, r15471, r15472, r15473, r15474, r15475, r15476, r15477; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15435); mpfr_init_set_str(r15436, "-7.175399107131671e-12", 10, MPFR_RNDN); mpfr_init(r15437); mpfr_init(r15438); mpfr_init(r15439); mpfr_init(r15440); mpfr_init(r15441); mpfr_init(r15442); mpfr_init(r15443); mpfr_init(r15444); mpfr_init(r15445); mpfr_init(r15446); mpfr_init(r15447); mpfr_init(r15448); mpfr_init(r15449); mpfr_init_set_str(r15450, "17.12856537901564", 10, MPFR_RNDN); mpfr_init(r15451); mpfr_init_set_str(r15452, "1/6", 10, MPFR_RNDN); mpfr_init(r15453); mpfr_init(r15454); mpfr_init_set_str(r15455, "1/2", 10, MPFR_RNDN); mpfr_init(r15456); mpfr_init(r15457); mpfr_init(r15458); mpfr_init(r15459); mpfr_init(r15460); mpfr_init(r15461); mpfr_init(r15462); mpfr_init(r15463); mpfr_init(r15464); mpfr_init(r15465); mpfr_init(r15466); mpfr_init(r15467); mpfr_init(r15468); mpfr_init(r15469); mpfr_init(r15470); mpfr_init(r15471); mpfr_init(r15472); mpfr_init(r15473); mpfr_init(r15474); mpfr_init(r15475); mpfr_init(r15476); mpfr_init(r15477); } double f_fm(double x, double eps) { mpfr_set_d(r15435, eps, MPFR_RNDN); ; mpfr_set_si(r15437, mpfr_cmp(r15435, r15436) <= 0, MPFR_RNDN); mpfr_set_d(r15438, x, MPFR_RNDN); mpfr_cos(r15439, r15438, MPFR_RNDN); mpfr_cos(r15440, r15435, MPFR_RNDN); mpfr_mul(r15441, r15439, r15440, MPFR_RNDN); mpfr_sin(r15442, r15438, MPFR_RNDN); mpfr_mul(r15443, r15442, r15442, MPFR_RNDN); mpfr_mul(r15443, r15443, r15442, MPFR_RNDN); mpfr_sin(r15444, r15435, MPFR_RNDN); mpfr_mul(r15445, r15444, r15444, MPFR_RNDN); mpfr_mul(r15445, r15445, r15444, MPFR_RNDN); mpfr_mul(r15446, r15443, r15445, MPFR_RNDN); mpfr_cbrt(r15447, r15446, MPFR_RNDN); mpfr_add(r15448, r15447, r15439, MPFR_RNDN); mpfr_sub(r15449, r15441, r15448, MPFR_RNDN); ; mpfr_set_si(r15451, mpfr_cmp(r15435, r15450) <= 0, MPFR_RNDN); ; mpfr_mul(r15453, r15435, r15452, MPFR_RNDN); mpfr_mul(r15454, r15442, r15453, MPFR_RNDN); ; mpfr_mul(r15456, r15455, r15439, MPFR_RNDN); mpfr_sub(r15457, r15454, r15456, MPFR_RNDN); mpfr_mul(r15458, r15435, r15435, MPFR_RNDN); mpfr_mul(r15459, r15457, r15458, MPFR_RNDN); mpfr_mul(r15460, r15435, r15442, MPFR_RNDN); mpfr_sub(r15461, r15459, r15460, MPFR_RNDN); mpfr_mul(r15462, r15440, r15439, MPFR_RNDN); mpfr_mul(r15463, r15444, r15442, MPFR_RNDN); mpfr_sub(r15464, r15462, r15463, MPFR_RNDN); mpfr_mul(r15465, r15464, r15464, MPFR_RNDN); mpfr_mul(r15465, r15465, r15464, MPFR_RNDN); mpfr_mul(r15466, r15439, r15439, MPFR_RNDN); mpfr_mul(r15466, r15466, r15439, MPFR_RNDN); mpfr_sub(r15467, r15465, r15466, MPFR_RNDN); mpfr_mul(r15468, r15442, r15444, MPFR_RNDN); mpfr_sub(r15469, r15441, r15468, MPFR_RNDN); mpfr_sqr(r15470, r15469, MPFR_RNDN); mpfr_sqr(r15471, r15439, MPFR_RNDN); mpfr_mul(r15472, r15469, r15439, MPFR_RNDN); mpfr_add(r15473, r15471, r15472, MPFR_RNDN); mpfr_add(r15474, r15470, r15473, MPFR_RNDN); mpfr_div(r15475, r15467, r15474, MPFR_RNDN); if (mpfr_get_si(r15451, MPFR_RNDN)) { mpfr_set(r15476, r15461, MPFR_RNDN); } else { mpfr_set(r15476, r15475, MPFR_RNDN); }; if (mpfr_get_si(r15437, MPFR_RNDN)) { mpfr_set(r15477, r15449, MPFR_RNDN); } else { mpfr_set(r15477, r15476, MPFR_RNDN); }; return mpfr_get_d(r15477, MPFR_RNDN); } static mpfr_t r15478, r15479, r15480, r15481, r15482, r15483, r15484, r15485, r15486, r15487, r15488, r15489, r15490, r15491, r15492, r15493, r15494, r15495, r15496, r15497, r15498, r15499, r15500, r15501, r15502, r15503, r15504, r15505, r15506, r15507, r15508, r15509, r15510, r15511, r15512, r15513, r15514, r15515, r15516, r15517, r15518, r15519, r15520; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15478); mpfr_init_set_str(r15479, "-7.175399107131671e-12", 10, MPFR_RNDN); mpfr_init(r15480); mpfr_init(r15481); mpfr_init(r15482); mpfr_init(r15483); mpfr_init(r15484); mpfr_init(r15485); mpfr_init(r15486); mpfr_init(r15487); mpfr_init(r15488); mpfr_init(r15489); mpfr_init(r15490); mpfr_init(r15491); mpfr_init(r15492); mpfr_init_set_str(r15493, "17.12856537901564", 10, MPFR_RNDN); mpfr_init(r15494); mpfr_init_set_str(r15495, "1/6", 10, MPFR_RNDN); mpfr_init(r15496); mpfr_init(r15497); mpfr_init_set_str(r15498, "1/2", 10, MPFR_RNDN); mpfr_init(r15499); mpfr_init(r15500); mpfr_init(r15501); mpfr_init(r15502); mpfr_init(r15503); mpfr_init(r15504); mpfr_init(r15505); mpfr_init(r15506); mpfr_init(r15507); mpfr_init(r15508); mpfr_init(r15509); mpfr_init(r15510); mpfr_init(r15511); mpfr_init(r15512); mpfr_init(r15513); mpfr_init(r15514); mpfr_init(r15515); mpfr_init(r15516); mpfr_init(r15517); mpfr_init(r15518); mpfr_init(r15519); mpfr_init(r15520); } double f_dm(double x, double eps) { mpfr_set_d(r15478, eps, MPFR_RNDN); ; mpfr_set_si(r15480, mpfr_cmp(r15478, r15479) <= 0, MPFR_RNDN); mpfr_set_d(r15481, x, MPFR_RNDN); mpfr_cos(r15482, r15481, MPFR_RNDN); mpfr_cos(r15483, r15478, MPFR_RNDN); mpfr_mul(r15484, r15482, r15483, MPFR_RNDN); mpfr_sin(r15485, r15481, MPFR_RNDN); mpfr_mul(r15486, r15485, r15485, MPFR_RNDN); mpfr_mul(r15486, r15486, r15485, MPFR_RNDN); mpfr_sin(r15487, r15478, MPFR_RNDN); mpfr_mul(r15488, r15487, r15487, MPFR_RNDN); mpfr_mul(r15488, r15488, r15487, MPFR_RNDN); mpfr_mul(r15489, r15486, r15488, MPFR_RNDN); mpfr_cbrt(r15490, r15489, MPFR_RNDN); mpfr_add(r15491, r15490, r15482, MPFR_RNDN); mpfr_sub(r15492, r15484, r15491, MPFR_RNDN); ; mpfr_set_si(r15494, mpfr_cmp(r15478, r15493) <= 0, MPFR_RNDN); ; mpfr_mul(r15496, r15478, r15495, MPFR_RNDN); mpfr_mul(r15497, r15485, r15496, MPFR_RNDN); ; mpfr_mul(r15499, r15498, r15482, MPFR_RNDN); mpfr_sub(r15500, r15497, r15499, MPFR_RNDN); mpfr_mul(r15501, r15478, r15478, MPFR_RNDN); mpfr_mul(r15502, r15500, r15501, MPFR_RNDN); mpfr_mul(r15503, r15478, r15485, MPFR_RNDN); mpfr_sub(r15504, r15502, r15503, MPFR_RNDN); mpfr_mul(r15505, r15483, r15482, MPFR_RNDN); mpfr_mul(r15506, r15487, r15485, MPFR_RNDN); mpfr_sub(r15507, r15505, r15506, MPFR_RNDN); mpfr_mul(r15508, r15507, r15507, MPFR_RNDN); mpfr_mul(r15508, r15508, r15507, MPFR_RNDN); mpfr_mul(r15509, r15482, r15482, MPFR_RNDN); mpfr_mul(r15509, r15509, r15482, MPFR_RNDN); mpfr_sub(r15510, r15508, r15509, MPFR_RNDN); mpfr_mul(r15511, r15485, r15487, MPFR_RNDN); mpfr_sub(r15512, r15484, r15511, MPFR_RNDN); mpfr_sqr(r15513, r15512, MPFR_RNDN); mpfr_sqr(r15514, r15482, MPFR_RNDN); mpfr_mul(r15515, r15512, r15482, MPFR_RNDN); mpfr_add(r15516, r15514, r15515, MPFR_RNDN); mpfr_add(r15517, r15513, r15516, MPFR_RNDN); mpfr_div(r15518, r15510, r15517, MPFR_RNDN); if (mpfr_get_si(r15494, MPFR_RNDN)) { mpfr_set(r15519, r15504, MPFR_RNDN); } else { mpfr_set(r15519, r15518, MPFR_RNDN); }; if (mpfr_get_si(r15480, MPFR_RNDN)) { mpfr_set(r15520, r15492, MPFR_RNDN); } else { mpfr_set(r15520, r15519, MPFR_RNDN); }; return mpfr_get_d(r15520, MPFR_RNDN); }