#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15323 = x; float r15324 = eps; float r15325 = r15323 + r15324; float r15326 = cos(r15325); float r15327 = cos(r15323); float r15328 = r15326 - r15327; return r15328; } double f_id(double x, double eps) { double r15329 = x; double r15330 = eps; double r15331 = r15329 + r15330; double r15332 = cos(r15331); double r15333 = cos(r15329); double r15334 = r15332 - r15333; return r15334; } double f_of(float x, float eps) { float r15335 = eps; float r15336 = -6.450162182147778e-09f; bool r15337 = r15335 <= r15336; float r15338 = x; float r15339 = cos(r15338); float r15340 = cos(r15335); float r15341 = r15339 * r15340; float r15342 = sin(r15338); float r15343 = sin(r15335); float r15344 = r15342 * r15343; float r15345 = r15344 + r15339; float r15346 = r15341 - r15345; float r15347 = r15346 * (r15346 * r15346); float r15348 = cbrt(r15347); float r15349 = 0.0018547908402979374f; bool r15350 = r15335 <= r15349; float r15351 = 0.1666666716337204f; float r15352 = r15335 * r15351; float r15353 = r15338 * (r15338 * r15338); float r15354 = r15352 * r15353; float r15355 = 0.5f; float r15356 = r15335 * r15355; float r15357 = r15356 + r15338; float r15358 = r15335 * r15357; float r15359 = r15354 - r15358; float r15360 = r15342 * (r15342 * r15342); float r15361 = r15343 * (r15343 * r15343); float r15362 = r15360 * r15361; float r15363 = cbrt(r15362); float r15364 = r15363 + r15339; float r15365 = r15341 - r15364; float r15366 = r15350 ? r15359 : r15365; float r15367 = r15337 ? r15348 : r15366; return r15367; } double f_od(double x, double eps) { double r15368 = eps; double r15369 = -6.450162182147778e-09; bool r15370 = r15368 <= r15369; double r15371 = x; double r15372 = cos(r15371); double r15373 = cos(r15368); double r15374 = r15372 * r15373; double r15375 = sin(r15371); double r15376 = sin(r15368); double r15377 = r15375 * r15376; double r15378 = r15377 + r15372; double r15379 = r15374 - r15378; double r15380 = r15379 * (r15379 * r15379); double r15381 = cbrt(r15380); double r15382 = 0.0018547908402979374; bool r15383 = r15368 <= r15382; double r15384 = 0.1666666716337204; double r15385 = r15368 * r15384; double r15386 = r15371 * (r15371 * r15371); double r15387 = r15385 * r15386; double r15388 = 0.5; double r15389 = r15368 * r15388; double r15390 = r15389 + r15371; double r15391 = r15368 * r15390; double r15392 = r15387 - r15391; double r15393 = r15375 * (r15375 * r15375); double r15394 = r15376 * (r15376 * r15376); double r15395 = r15393 * r15394; double r15396 = cbrt(r15395); double r15397 = r15396 + r15372; double r15398 = r15374 - r15397; double r15399 = r15383 ? r15392 : r15398; double r15400 = r15370 ? r15381 : r15399; return r15400; } 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 r15401, r15402, r15403, r15404, r15405, r15406; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15401); mpfr_init(r15402); mpfr_init(r15403); mpfr_init(r15404); mpfr_init(r15405); mpfr_init(r15406); } double f_im(double x, double eps) { mpfr_set_d(r15401, x, MPFR_RNDN); mpfr_set_d(r15402, eps, MPFR_RNDN); mpfr_add(r15403, r15401, r15402, MPFR_RNDN); mpfr_cos(r15404, r15403, MPFR_RNDN); mpfr_cos(r15405, r15401, MPFR_RNDN); mpfr_sub(r15406, r15404, r15405, MPFR_RNDN); return mpfr_get_d(r15406, MPFR_RNDN); } static mpfr_t r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418, r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437, r15438, r15439; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15407); mpfr_init_set_str(r15408, "-6.450162f-09", 10, MPFR_RNDN); mpfr_init(r15409); mpfr_init(r15410); mpfr_init(r15411); mpfr_init(r15412); mpfr_init(r15413); mpfr_init(r15414); mpfr_init(r15415); mpfr_init(r15416); mpfr_init(r15417); mpfr_init(r15418); mpfr_init(r15419); mpfr_init(r15420); mpfr_init_set_str(r15421, "0.0018547908f0", 10, MPFR_RNDN); mpfr_init(r15422); mpfr_init_set_str(r15423, "1/6", 10, MPFR_RNDN); mpfr_init(r15424); mpfr_init(r15425); mpfr_init(r15426); mpfr_init_set_str(r15427, "1/2", 10, MPFR_RNDN); mpfr_init(r15428); mpfr_init(r15429); mpfr_init(r15430); mpfr_init(r15431); mpfr_init(r15432); mpfr_init(r15433); mpfr_init(r15434); mpfr_init(r15435); mpfr_init(r15436); mpfr_init(r15437); mpfr_init(r15438); mpfr_init(r15439); } double f_fm(double x, double eps) { mpfr_set_d(r15407, eps, MPFR_RNDN); ; mpfr_set_si(r15409, mpfr_cmp(r15407, r15408) <= 0, MPFR_RNDN); mpfr_set_d(r15410, x, MPFR_RNDN); mpfr_cos(r15411, r15410, MPFR_RNDN); mpfr_cos(r15412, r15407, MPFR_RNDN); mpfr_mul(r15413, r15411, r15412, MPFR_RNDN); mpfr_sin(r15414, r15410, MPFR_RNDN); mpfr_sin(r15415, r15407, MPFR_RNDN); mpfr_mul(r15416, r15414, r15415, MPFR_RNDN); mpfr_add(r15417, r15416, r15411, MPFR_RNDN); mpfr_sub(r15418, r15413, r15417, MPFR_RNDN); mpfr_mul(r15419, r15418, r15418, MPFR_RNDN); mpfr_mul(r15419, r15419, r15418, MPFR_RNDN); mpfr_cbrt(r15420, r15419, MPFR_RNDN); ; mpfr_set_si(r15422, mpfr_cmp(r15407, r15421) <= 0, MPFR_RNDN); ; mpfr_mul(r15424, r15407, r15423, MPFR_RNDN); mpfr_mul(r15425, r15410, r15410, MPFR_RNDN); mpfr_mul(r15425, r15425, r15410, MPFR_RNDN); mpfr_mul(r15426, r15424, r15425, MPFR_RNDN); ; mpfr_mul(r15428, r15407, r15427, MPFR_RNDN); mpfr_add(r15429, r15428, r15410, MPFR_RNDN); mpfr_mul(r15430, r15407, r15429, MPFR_RNDN); mpfr_sub(r15431, r15426, r15430, MPFR_RNDN); mpfr_mul(r15432, r15414, r15414, MPFR_RNDN); mpfr_mul(r15432, r15432, r15414, MPFR_RNDN); mpfr_mul(r15433, r15415, r15415, MPFR_RNDN); mpfr_mul(r15433, r15433, r15415, MPFR_RNDN); mpfr_mul(r15434, r15432, r15433, MPFR_RNDN); mpfr_cbrt(r15435, r15434, MPFR_RNDN); mpfr_add(r15436, r15435, r15411, MPFR_RNDN); mpfr_sub(r15437, r15413, r15436, MPFR_RNDN); if (mpfr_get_si(r15422, MPFR_RNDN)) { mpfr_set(r15438, r15431, MPFR_RNDN); } else { mpfr_set(r15438, r15437, MPFR_RNDN); }; if (mpfr_get_si(r15409, MPFR_RNDN)) { mpfr_set(r15439, r15420, MPFR_RNDN); } else { mpfr_set(r15439, r15438, MPFR_RNDN); }; return mpfr_get_d(r15439, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15440); mpfr_init_set_str(r15441, "-6.450162f-09", 10, MPFR_RNDN); 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(r15450); mpfr_init(r15451); mpfr_init(r15452); mpfr_init(r15453); mpfr_init_set_str(r15454, "0.0018547908f0", 10, MPFR_RNDN); mpfr_init(r15455); mpfr_init_set_str(r15456, "1/6", 10, MPFR_RNDN); mpfr_init(r15457); mpfr_init(r15458); mpfr_init(r15459); mpfr_init_set_str(r15460, "1/2", 10, MPFR_RNDN); 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); } double f_dm(double x, double eps) { mpfr_set_d(r15440, eps, MPFR_RNDN); ; mpfr_set_si(r15442, mpfr_cmp(r15440, r15441) <= 0, MPFR_RNDN); mpfr_set_d(r15443, x, MPFR_RNDN); mpfr_cos(r15444, r15443, MPFR_RNDN); mpfr_cos(r15445, r15440, MPFR_RNDN); mpfr_mul(r15446, r15444, r15445, MPFR_RNDN); mpfr_sin(r15447, r15443, MPFR_RNDN); mpfr_sin(r15448, r15440, MPFR_RNDN); mpfr_mul(r15449, r15447, r15448, MPFR_RNDN); mpfr_add(r15450, r15449, r15444, MPFR_RNDN); mpfr_sub(r15451, r15446, r15450, MPFR_RNDN); mpfr_mul(r15452, r15451, r15451, MPFR_RNDN); mpfr_mul(r15452, r15452, r15451, MPFR_RNDN); mpfr_cbrt(r15453, r15452, MPFR_RNDN); ; mpfr_set_si(r15455, mpfr_cmp(r15440, r15454) <= 0, MPFR_RNDN); ; mpfr_mul(r15457, r15440, r15456, MPFR_RNDN); mpfr_mul(r15458, r15443, r15443, MPFR_RNDN); mpfr_mul(r15458, r15458, r15443, MPFR_RNDN); mpfr_mul(r15459, r15457, r15458, MPFR_RNDN); ; mpfr_mul(r15461, r15440, r15460, MPFR_RNDN); mpfr_add(r15462, r15461, r15443, MPFR_RNDN); mpfr_mul(r15463, r15440, r15462, MPFR_RNDN); mpfr_sub(r15464, r15459, r15463, MPFR_RNDN); mpfr_mul(r15465, r15447, r15447, MPFR_RNDN); mpfr_mul(r15465, r15465, r15447, MPFR_RNDN); mpfr_mul(r15466, r15448, r15448, MPFR_RNDN); mpfr_mul(r15466, r15466, r15448, MPFR_RNDN); mpfr_mul(r15467, r15465, r15466, MPFR_RNDN); mpfr_cbrt(r15468, r15467, MPFR_RNDN); mpfr_add(r15469, r15468, r15444, MPFR_RNDN); mpfr_sub(r15470, r15446, r15469, MPFR_RNDN); if (mpfr_get_si(r15455, MPFR_RNDN)) { mpfr_set(r15471, r15464, MPFR_RNDN); } else { mpfr_set(r15471, r15470, MPFR_RNDN); }; if (mpfr_get_si(r15442, MPFR_RNDN)) { mpfr_set(r15472, r15453, MPFR_RNDN); } else { mpfr_set(r15472, r15471, MPFR_RNDN); }; return mpfr_get_d(r15472, MPFR_RNDN); }