#include #include #include #include #include char *name = "2nthrt (problem 3.4.6)"; double f_if(float x, float n) { float r25365 = x; float r25366 = 1; float r25367 = r25365 + r25366; float r25368 = n; float r25369 = r25366 / r25368; float r25370 = pow(r25367, r25369); float r25371 = pow(r25365, r25369); float r25372 = r25370 - r25371; return r25372; } double f_id(double x, double n) { double r25373 = x; double r25374 = 1; double r25375 = r25373 + r25374; double r25376 = n; double r25377 = r25374 / r25376; double r25378 = pow(r25375, r25377); double r25379 = pow(r25373, r25377); double r25380 = r25378 - r25379; return r25380; } double f_of(float x, float n) { float r25381 = x; float r25382 = log1p(r25381); float r25383 = n; float r25384 = r25382 / r25383; float r25385 = expm1(r25384); float r25386 = 1/2; float r25387 = r25386 / r25383; float r25388 = r25387 / r25383; float r25389 = log(r25381); float r25390 = r25389 * r25389; float r25391 = r25389 / r25383; float r25392 = fma(r25388, r25390, r25391); float r25393 = r25385 - r25392; float r25394 = -15.581488447668983; bool r25395 = r25393 <= r25394; float r25396 = exp(1.0); float r25397 = pow(r25396, r25384); float r25398 = 1; float r25399 = r25398 / r25383; float r25400 = pow(r25381, r25399); float r25401 = r25397 - r25400; float r25402 = -3.0951000873757747e-305; bool r25403 = r25393 <= r25402; float r25404 = 9.472841264281097e-288; bool r25405 = r25393 <= r25404; float r25406 = r25383 * r25383; float r25407 = r25389 / r25406; float r25408 = r25407 / r25381; float r25409 = r25381 * r25381; float r25410 = r25387 / r25409; float r25411 = r25381 * r25383; float r25412 = r25398 / r25411; float r25413 = r25410 - r25412; float r25414 = r25408 - r25413; float r25415 = r25405 ? r25414 : r25393; float r25416 = r25403 ? r25393 : r25415; float r25417 = r25395 ? r25401 : r25416; return r25417; } double f_od(double x, double n) { double r25418 = x; double r25419 = log1p(r25418); double r25420 = n; double r25421 = r25419 / r25420; double r25422 = expm1(r25421); double r25423 = 1/2; double r25424 = r25423 / r25420; double r25425 = r25424 / r25420; double r25426 = log(r25418); double r25427 = r25426 * r25426; double r25428 = r25426 / r25420; double r25429 = fma(r25425, r25427, r25428); double r25430 = r25422 - r25429; double r25431 = -15.581488447668983; bool r25432 = r25430 <= r25431; double r25433 = exp(1.0); double r25434 = pow(r25433, r25421); double r25435 = 1; double r25436 = r25435 / r25420; double r25437 = pow(r25418, r25436); double r25438 = r25434 - r25437; double r25439 = -3.0951000873757747e-305; bool r25440 = r25430 <= r25439; double r25441 = 9.472841264281097e-288; bool r25442 = r25430 <= r25441; double r25443 = r25420 * r25420; double r25444 = r25426 / r25443; double r25445 = r25444 / r25418; double r25446 = r25418 * r25418; double r25447 = r25424 / r25446; double r25448 = r25418 * r25420; double r25449 = r25435 / r25448; double r25450 = r25447 - r25449; double r25451 = r25445 - r25450; double r25452 = r25442 ? r25451 : r25430; double r25453 = r25440 ? r25430 : r25452; double r25454 = r25432 ? r25438 : r25453; return r25454; } 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 r25455, r25456, r25457, r25458, r25459, r25460, r25461, r25462; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init(r25455); mpfr_init_set_str(r25456, "1", 10, MPFR_RNDN); mpfr_init(r25457); mpfr_init(r25458); mpfr_init(r25459); mpfr_init(r25460); mpfr_init(r25461); mpfr_init(r25462); } double f_im(double x, double n) { mpfr_set_d(r25455, x, MPFR_RNDN); ; mpfr_add(r25457, r25455, r25456, MPFR_RNDN); mpfr_set_d(r25458, n, MPFR_RNDN); mpfr_div(r25459, r25456, r25458, MPFR_RNDN); mpfr_pow(r25460, r25457, r25459, MPFR_RNDN); mpfr_pow(r25461, r25455, r25459, MPFR_RNDN); mpfr_sub(r25462, r25460, r25461, MPFR_RNDN); return mpfr_get_d(r25462, MPFR_RNDN); } static mpfr_t r25463, r25464, r25465, r25466, r25467, r25468, r25469, r25470, r25471, r25472, r25473, r25474, r25475, r25476, r25477, r25478, r25479, r25480, r25481, r25482, r25483, r25484, r25485, r25486, r25487, r25488, r25489, r25490, r25491, r25492, r25493, r25494, r25495, r25496, r25497, r25498, r25499; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init(r25463); mpfr_init(r25464); mpfr_init(r25465); mpfr_init(r25466); mpfr_init(r25467); mpfr_init_set_str(r25468, "1/2", 10, MPFR_RNDN); mpfr_init(r25469); mpfr_init(r25470); mpfr_init(r25471); mpfr_init(r25472); mpfr_init(r25473); mpfr_init(r25474); mpfr_init(r25475); mpfr_init_set_str(r25476, "-15.581488447668983", 10, MPFR_RNDN); mpfr_init(r25477); mpfr_init(r25478); mpfr_init(r25479); mpfr_init_set_str(r25480, "1", 10, MPFR_RNDN); mpfr_init(r25481); mpfr_init(r25482); mpfr_init(r25483); mpfr_init_set_str(r25484, "-3.0951000873757747e-305", 10, MPFR_RNDN); mpfr_init(r25485); mpfr_init_set_str(r25486, "9.472841264281097e-288", 10, MPFR_RNDN); mpfr_init(r25487); mpfr_init(r25488); mpfr_init(r25489); mpfr_init(r25490); mpfr_init(r25491); mpfr_init(r25492); mpfr_init(r25493); mpfr_init(r25494); mpfr_init(r25495); mpfr_init(r25496); mpfr_init(r25497); mpfr_init(r25498); mpfr_init(r25499); } double f_fm(double x, double n) { mpfr_set_d(r25463, x, MPFR_RNDN); mpfr_log1p(r25464, r25463, MPFR_RNDN); mpfr_set_d(r25465, n, MPFR_RNDN); mpfr_div(r25466, r25464, r25465, MPFR_RNDN); mpfr_expm1(r25467, r25466, MPFR_RNDN); ; mpfr_div(r25469, r25468, r25465, MPFR_RNDN); mpfr_div(r25470, r25469, r25465, MPFR_RNDN); mpfr_log(r25471, r25463, MPFR_RNDN); mpfr_mul(r25472, r25471, r25471, MPFR_RNDN); mpfr_div(r25473, r25471, r25465, MPFR_RNDN); mpfr_fma(r25474, r25470, r25472, r25473, MPFR_RNDN); mpfr_sub(r25475, r25467, r25474, MPFR_RNDN); ; mpfr_set_si(r25477, mpfr_cmp(r25475, r25476) <= 0, MPFR_RNDN); mpfr_set_si(r25478, 1, MPFR_RNDN), mpfr_const_exp(r25478, r25478, MPFR_RNDN); mpfr_pow(r25479, r25478, r25466, MPFR_RNDN); ; mpfr_div(r25481, r25480, r25465, MPFR_RNDN); mpfr_pow(r25482, r25463, r25481, MPFR_RNDN); mpfr_sub(r25483, r25479, r25482, MPFR_RNDN); ; mpfr_set_si(r25485, mpfr_cmp(r25475, r25484) <= 0, MPFR_RNDN); ; mpfr_set_si(r25487, mpfr_cmp(r25475, r25486) <= 0, MPFR_RNDN); mpfr_mul(r25488, r25465, r25465, MPFR_RNDN); mpfr_div(r25489, r25471, r25488, MPFR_RNDN); mpfr_div(r25490, r25489, r25463, MPFR_RNDN); mpfr_mul(r25491, r25463, r25463, MPFR_RNDN); mpfr_div(r25492, r25469, r25491, MPFR_RNDN); mpfr_mul(r25493, r25463, r25465, MPFR_RNDN); mpfr_div(r25494, r25480, r25493, MPFR_RNDN); mpfr_sub(r25495, r25492, r25494, MPFR_RNDN); mpfr_sub(r25496, r25490, r25495, MPFR_RNDN); if (mpfr_get_si(r25487, MPFR_RNDN)) { mpfr_set(r25497, r25496, MPFR_RNDN); } else { mpfr_set(r25497, r25475, MPFR_RNDN); }; if (mpfr_get_si(r25485, MPFR_RNDN)) { mpfr_set(r25498, r25475, MPFR_RNDN); } else { mpfr_set(r25498, r25497, MPFR_RNDN); }; if (mpfr_get_si(r25477, MPFR_RNDN)) { mpfr_set(r25499, r25483, MPFR_RNDN); } else { mpfr_set(r25499, r25498, MPFR_RNDN); }; return mpfr_get_d(r25499, MPFR_RNDN); } static mpfr_t r25500, r25501, r25502, r25503, r25504, r25505, r25506, r25507, r25508, r25509, r25510, r25511, r25512, r25513, r25514, r25515, r25516, r25517, r25518, r25519, r25520, r25521, r25522, r25523, r25524, r25525, r25526, r25527, r25528, r25529, r25530, r25531, r25532, r25533, r25534, r25535, r25536; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init(r25500); mpfr_init(r25501); mpfr_init(r25502); mpfr_init(r25503); mpfr_init(r25504); mpfr_init_set_str(r25505, "1/2", 10, MPFR_RNDN); mpfr_init(r25506); mpfr_init(r25507); mpfr_init(r25508); mpfr_init(r25509); mpfr_init(r25510); mpfr_init(r25511); mpfr_init(r25512); mpfr_init_set_str(r25513, "-15.581488447668983", 10, MPFR_RNDN); mpfr_init(r25514); mpfr_init(r25515); mpfr_init(r25516); mpfr_init_set_str(r25517, "1", 10, MPFR_RNDN); mpfr_init(r25518); mpfr_init(r25519); mpfr_init(r25520); mpfr_init_set_str(r25521, "-3.0951000873757747e-305", 10, MPFR_RNDN); mpfr_init(r25522); mpfr_init_set_str(r25523, "9.472841264281097e-288", 10, MPFR_RNDN); mpfr_init(r25524); mpfr_init(r25525); mpfr_init(r25526); mpfr_init(r25527); mpfr_init(r25528); mpfr_init(r25529); mpfr_init(r25530); mpfr_init(r25531); mpfr_init(r25532); mpfr_init(r25533); mpfr_init(r25534); mpfr_init(r25535); mpfr_init(r25536); } double f_dm(double x, double n) { mpfr_set_d(r25500, x, MPFR_RNDN); mpfr_log1p(r25501, r25500, MPFR_RNDN); mpfr_set_d(r25502, n, MPFR_RNDN); mpfr_div(r25503, r25501, r25502, MPFR_RNDN); mpfr_expm1(r25504, r25503, MPFR_RNDN); ; mpfr_div(r25506, r25505, r25502, MPFR_RNDN); mpfr_div(r25507, r25506, r25502, MPFR_RNDN); mpfr_log(r25508, r25500, MPFR_RNDN); mpfr_mul(r25509, r25508, r25508, MPFR_RNDN); mpfr_div(r25510, r25508, r25502, MPFR_RNDN); mpfr_fma(r25511, r25507, r25509, r25510, MPFR_RNDN); mpfr_sub(r25512, r25504, r25511, MPFR_RNDN); ; mpfr_set_si(r25514, mpfr_cmp(r25512, r25513) <= 0, MPFR_RNDN); mpfr_set_si(r25515, 1, MPFR_RNDN), mpfr_const_exp(r25515, r25515, MPFR_RNDN); mpfr_pow(r25516, r25515, r25503, MPFR_RNDN); ; mpfr_div(r25518, r25517, r25502, MPFR_RNDN); mpfr_pow(r25519, r25500, r25518, MPFR_RNDN); mpfr_sub(r25520, r25516, r25519, MPFR_RNDN); ; mpfr_set_si(r25522, mpfr_cmp(r25512, r25521) <= 0, MPFR_RNDN); ; mpfr_set_si(r25524, mpfr_cmp(r25512, r25523) <= 0, MPFR_RNDN); mpfr_mul(r25525, r25502, r25502, MPFR_RNDN); mpfr_div(r25526, r25508, r25525, MPFR_RNDN); mpfr_div(r25527, r25526, r25500, MPFR_RNDN); mpfr_mul(r25528, r25500, r25500, MPFR_RNDN); mpfr_div(r25529, r25506, r25528, MPFR_RNDN); mpfr_mul(r25530, r25500, r25502, MPFR_RNDN); mpfr_div(r25531, r25517, r25530, MPFR_RNDN); mpfr_sub(r25532, r25529, r25531, MPFR_RNDN); mpfr_sub(r25533, r25527, r25532, MPFR_RNDN); if (mpfr_get_si(r25524, MPFR_RNDN)) { mpfr_set(r25534, r25533, MPFR_RNDN); } else { mpfr_set(r25534, r25512, MPFR_RNDN); }; if (mpfr_get_si(r25522, MPFR_RNDN)) { mpfr_set(r25535, r25512, MPFR_RNDN); } else { mpfr_set(r25535, r25534, MPFR_RNDN); }; if (mpfr_get_si(r25514, MPFR_RNDN)) { mpfr_set(r25536, r25520, MPFR_RNDN); } else { mpfr_set(r25536, r25535, MPFR_RNDN); }; return mpfr_get_d(r25536, MPFR_RNDN); }