#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r21319 = 1; float r21320 = eps; float r21321 = r21319 / r21320; float r21322 = r21319 + r21321; float r21323 = r21319 - r21320; float r21324 = x; float r21325 = r21323 * r21324; float r21326 = -r21325; float r21327 = exp(r21326); float r21328 = r21322 * r21327; float r21329 = r21321 - r21319; float r21330 = r21319 + r21320; float r21331 = r21330 * r21324; float r21332 = -r21331; float r21333 = exp(r21332); float r21334 = r21329 * r21333; float r21335 = r21328 - r21334; float r21336 = 2; float r21337 = r21335 / r21336; return r21337; } double f_id(double x, double eps) { double r21338 = 1; double r21339 = eps; double r21340 = r21338 / r21339; double r21341 = r21338 + r21340; double r21342 = r21338 - r21339; double r21343 = x; double r21344 = r21342 * r21343; double r21345 = -r21344; double r21346 = exp(r21345); double r21347 = r21341 * r21346; double r21348 = r21340 - r21338; double r21349 = r21338 + r21339; double r21350 = r21349 * r21343; double r21351 = -r21350; double r21352 = exp(r21351); double r21353 = r21348 * r21352; double r21354 = r21347 - r21353; double r21355 = 2; double r21356 = r21354 / r21355; return r21356; } double f_of(float x, float eps) { float r21357 = x; float r21358 = 380.16770422358724; bool r21359 = r21357 <= r21358; float r21360 = 2; float r21361 = 2/3; float r21362 = r21361 * r21357; float r21363 = r21357 * r21362; float r21364 = 3; float r21365 = pow(r21363, r21364); float r21366 = cbrt(r21365); float r21367 = pow(r21357, r21364); float r21368 = cbrt(r21367); float r21369 = r21366 * r21368; float r21370 = r21360 + r21369; float r21371 = pow(r21357, r21360); float r21372 = r21370 - r21371; float r21373 = r21372 / r21360; float r21374 = 1; float r21375 = eps; float r21376 = r21374 / r21375; float r21377 = r21374 + r21376; float r21378 = r21374 - r21375; float r21379 = r21378 * r21357; float r21380 = -r21379; float r21381 = exp(r21380); float r21382 = r21377 * r21381; float r21383 = r21376 - r21374; float r21384 = exp(r21357); float r21385 = r21375 + r21374; float r21386 = pow(r21384, r21385); float r21387 = r21383 / r21386; float r21388 = cbrt(r21387); float r21389 = r21388 * r21388; float r21390 = r21389 * r21388; float r21391 = r21382 - r21390; float r21392 = r21391 / r21360; float r21393 = r21359 ? r21373 : r21392; return r21393; } double f_od(double x, double eps) { double r21394 = x; double r21395 = 380.16770422358724; bool r21396 = r21394 <= r21395; double r21397 = 2; double r21398 = 2/3; double r21399 = r21398 * r21394; double r21400 = r21394 * r21399; double r21401 = 3; double r21402 = pow(r21400, r21401); double r21403 = cbrt(r21402); double r21404 = pow(r21394, r21401); double r21405 = cbrt(r21404); double r21406 = r21403 * r21405; double r21407 = r21397 + r21406; double r21408 = pow(r21394, r21397); double r21409 = r21407 - r21408; double r21410 = r21409 / r21397; double r21411 = 1; double r21412 = eps; double r21413 = r21411 / r21412; double r21414 = r21411 + r21413; double r21415 = r21411 - r21412; double r21416 = r21415 * r21394; double r21417 = -r21416; double r21418 = exp(r21417); double r21419 = r21414 * r21418; double r21420 = r21413 - r21411; double r21421 = exp(r21394); double r21422 = r21412 + r21411; double r21423 = pow(r21421, r21422); double r21424 = r21420 / r21423; double r21425 = cbrt(r21424); double r21426 = r21425 * r21425; double r21427 = r21426 * r21425; double r21428 = r21419 - r21427; double r21429 = r21428 / r21397; double r21430 = r21396 ? r21410 : r21429; return r21430; } 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 r21431, r21432, r21433, r21434, r21435, r21436, r21437, r21438, r21439, r21440, r21441, r21442, r21443, r21444, r21445, r21446, r21447, r21448, r21449; void setup_mpfr_f_im() { mpfr_set_default_prec(1424); mpfr_init_set_str(r21431, "1", 10, MPFR_RNDN); mpfr_init(r21432); mpfr_init(r21433); mpfr_init(r21434); mpfr_init(r21435); mpfr_init(r21436); mpfr_init(r21437); mpfr_init(r21438); mpfr_init(r21439); mpfr_init(r21440); mpfr_init(r21441); mpfr_init(r21442); mpfr_init(r21443); mpfr_init(r21444); mpfr_init(r21445); mpfr_init(r21446); mpfr_init(r21447); mpfr_init_set_str(r21448, "2", 10, MPFR_RNDN); mpfr_init(r21449); } double f_im(double x, double eps) { ; mpfr_set_d(r21432, eps, MPFR_RNDN); mpfr_div(r21433, r21431, r21432, MPFR_RNDN); mpfr_add(r21434, r21431, r21433, MPFR_RNDN); mpfr_sub(r21435, r21431, r21432, MPFR_RNDN); mpfr_set_d(r21436, x, MPFR_RNDN); mpfr_mul(r21437, r21435, r21436, MPFR_RNDN); mpfr_neg(r21438, r21437, MPFR_RNDN); mpfr_exp(r21439, r21438, MPFR_RNDN); mpfr_mul(r21440, r21434, r21439, MPFR_RNDN); mpfr_sub(r21441, r21433, r21431, MPFR_RNDN); mpfr_add(r21442, r21431, r21432, MPFR_RNDN); mpfr_mul(r21443, r21442, r21436, MPFR_RNDN); mpfr_neg(r21444, r21443, MPFR_RNDN); mpfr_exp(r21445, r21444, MPFR_RNDN); mpfr_mul(r21446, r21441, r21445, MPFR_RNDN); mpfr_sub(r21447, r21440, r21446, MPFR_RNDN); ; mpfr_div(r21449, r21447, r21448, MPFR_RNDN); return mpfr_get_d(r21449, MPFR_RNDN); } static mpfr_t r21450, r21451, r21452, r21453, r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471, r21472, r21473, r21474, r21475, r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486; void setup_mpfr_f_fm() { mpfr_set_default_prec(1424); mpfr_init(r21450); mpfr_init_set_str(r21451, "380.16770422358724", 10, MPFR_RNDN); mpfr_init(r21452); mpfr_init_set_str(r21453, "2", 10, MPFR_RNDN); mpfr_init_set_str(r21454, "2/3", 10, MPFR_RNDN); mpfr_init(r21455); mpfr_init(r21456); mpfr_init_set_str(r21457, "3", 10, MPFR_RNDN); mpfr_init(r21458); mpfr_init(r21459); mpfr_init(r21460); mpfr_init(r21461); mpfr_init(r21462); mpfr_init(r21463); mpfr_init(r21464); mpfr_init(r21465); mpfr_init(r21466); mpfr_init_set_str(r21467, "1", 10, MPFR_RNDN); mpfr_init(r21468); mpfr_init(r21469); mpfr_init(r21470); mpfr_init(r21471); mpfr_init(r21472); mpfr_init(r21473); mpfr_init(r21474); mpfr_init(r21475); mpfr_init(r21476); mpfr_init(r21477); mpfr_init(r21478); mpfr_init(r21479); mpfr_init(r21480); mpfr_init(r21481); mpfr_init(r21482); mpfr_init(r21483); mpfr_init(r21484); mpfr_init(r21485); mpfr_init(r21486); } double f_fm(double x, double eps) { mpfr_set_d(r21450, x, MPFR_RNDN); ; mpfr_set_si(r21452, mpfr_cmp(r21450, r21451) <= 0, MPFR_RNDN); ; ; mpfr_mul(r21455, r21454, r21450, MPFR_RNDN); mpfr_mul(r21456, r21450, r21455, MPFR_RNDN); ; mpfr_pow(r21458, r21456, r21457, MPFR_RNDN); mpfr_cbrt(r21459, r21458, MPFR_RNDN); mpfr_pow(r21460, r21450, r21457, MPFR_RNDN); mpfr_cbrt(r21461, r21460, MPFR_RNDN); mpfr_mul(r21462, r21459, r21461, MPFR_RNDN); mpfr_add(r21463, r21453, r21462, MPFR_RNDN); mpfr_pow(r21464, r21450, r21453, MPFR_RNDN); mpfr_sub(r21465, r21463, r21464, MPFR_RNDN); mpfr_div(r21466, r21465, r21453, MPFR_RNDN); ; mpfr_set_d(r21468, eps, MPFR_RNDN); mpfr_div(r21469, r21467, r21468, MPFR_RNDN); mpfr_add(r21470, r21467, r21469, MPFR_RNDN); mpfr_sub(r21471, r21467, r21468, MPFR_RNDN); mpfr_mul(r21472, r21471, r21450, MPFR_RNDN); mpfr_neg(r21473, r21472, MPFR_RNDN); mpfr_exp(r21474, r21473, MPFR_RNDN); mpfr_mul(r21475, r21470, r21474, MPFR_RNDN); mpfr_sub(r21476, r21469, r21467, MPFR_RNDN); mpfr_exp(r21477, r21450, MPFR_RNDN); mpfr_add(r21478, r21468, r21467, MPFR_RNDN); mpfr_pow(r21479, r21477, r21478, MPFR_RNDN); mpfr_div(r21480, r21476, r21479, MPFR_RNDN); mpfr_cbrt(r21481, r21480, MPFR_RNDN); mpfr_mul(r21482, r21481, r21481, MPFR_RNDN); mpfr_mul(r21483, r21482, r21481, MPFR_RNDN); mpfr_sub(r21484, r21475, r21483, MPFR_RNDN); mpfr_div(r21485, r21484, r21453, MPFR_RNDN); if (mpfr_get_si(r21452, MPFR_RNDN)) { mpfr_set(r21486, r21466, MPFR_RNDN); } else { mpfr_set(r21486, r21485, MPFR_RNDN); }; return mpfr_get_d(r21486, MPFR_RNDN); } static mpfr_t r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510, r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523; void setup_mpfr_f_dm() { mpfr_set_default_prec(1424); mpfr_init(r21487); mpfr_init_set_str(r21488, "380.16770422358724", 10, MPFR_RNDN); mpfr_init(r21489); mpfr_init_set_str(r21490, "2", 10, MPFR_RNDN); mpfr_init_set_str(r21491, "2/3", 10, MPFR_RNDN); mpfr_init(r21492); mpfr_init(r21493); mpfr_init_set_str(r21494, "3", 10, MPFR_RNDN); mpfr_init(r21495); mpfr_init(r21496); mpfr_init(r21497); mpfr_init(r21498); mpfr_init(r21499); mpfr_init(r21500); mpfr_init(r21501); mpfr_init(r21502); mpfr_init(r21503); mpfr_init_set_str(r21504, "1", 10, MPFR_RNDN); mpfr_init(r21505); mpfr_init(r21506); mpfr_init(r21507); mpfr_init(r21508); mpfr_init(r21509); mpfr_init(r21510); mpfr_init(r21511); mpfr_init(r21512); mpfr_init(r21513); mpfr_init(r21514); mpfr_init(r21515); mpfr_init(r21516); mpfr_init(r21517); mpfr_init(r21518); mpfr_init(r21519); mpfr_init(r21520); mpfr_init(r21521); mpfr_init(r21522); mpfr_init(r21523); } double f_dm(double x, double eps) { mpfr_set_d(r21487, x, MPFR_RNDN); ; mpfr_set_si(r21489, mpfr_cmp(r21487, r21488) <= 0, MPFR_RNDN); ; ; mpfr_mul(r21492, r21491, r21487, MPFR_RNDN); mpfr_mul(r21493, r21487, r21492, MPFR_RNDN); ; mpfr_pow(r21495, r21493, r21494, MPFR_RNDN); mpfr_cbrt(r21496, r21495, MPFR_RNDN); mpfr_pow(r21497, r21487, r21494, MPFR_RNDN); mpfr_cbrt(r21498, r21497, MPFR_RNDN); mpfr_mul(r21499, r21496, r21498, MPFR_RNDN); mpfr_add(r21500, r21490, r21499, MPFR_RNDN); mpfr_pow(r21501, r21487, r21490, MPFR_RNDN); mpfr_sub(r21502, r21500, r21501, MPFR_RNDN); mpfr_div(r21503, r21502, r21490, MPFR_RNDN); ; mpfr_set_d(r21505, eps, MPFR_RNDN); mpfr_div(r21506, r21504, r21505, MPFR_RNDN); mpfr_add(r21507, r21504, r21506, MPFR_RNDN); mpfr_sub(r21508, r21504, r21505, MPFR_RNDN); mpfr_mul(r21509, r21508, r21487, MPFR_RNDN); mpfr_neg(r21510, r21509, MPFR_RNDN); mpfr_exp(r21511, r21510, MPFR_RNDN); mpfr_mul(r21512, r21507, r21511, MPFR_RNDN); mpfr_sub(r21513, r21506, r21504, MPFR_RNDN); mpfr_exp(r21514, r21487, MPFR_RNDN); mpfr_add(r21515, r21505, r21504, MPFR_RNDN); mpfr_pow(r21516, r21514, r21515, MPFR_RNDN); mpfr_div(r21517, r21513, r21516, MPFR_RNDN); mpfr_cbrt(r21518, r21517, MPFR_RNDN); mpfr_mul(r21519, r21518, r21518, MPFR_RNDN); mpfr_mul(r21520, r21519, r21518, MPFR_RNDN); mpfr_sub(r21521, r21512, r21520, MPFR_RNDN); mpfr_div(r21522, r21521, r21490, MPFR_RNDN); if (mpfr_get_si(r21489, MPFR_RNDN)) { mpfr_set(r21523, r21503, MPFR_RNDN); } else { mpfr_set(r21523, r21522, MPFR_RNDN); }; return mpfr_get_d(r21523, MPFR_RNDN); }