#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r22380 = eps; float r22381 = a; float r22382 = b; float r22383 = r22381 + r22382; float r22384 = r22383 * r22380; float r22385 = exp(r22384); float r22386 = 1; float r22387 = r22385 - r22386; float r22388 = r22380 * r22387; float r22389 = r22381 * r22380; float r22390 = exp(r22389); float r22391 = r22390 - r22386; float r22392 = r22382 * r22380; float r22393 = exp(r22392); float r22394 = r22393 - r22386; float r22395 = r22391 * r22394; float r22396 = r22388 / r22395; return r22396; } double f_id(double a, double b, double eps) { double r22397 = eps; double r22398 = a; double r22399 = b; double r22400 = r22398 + r22399; double r22401 = r22400 * r22397; double r22402 = exp(r22401); double r22403 = 1; double r22404 = r22402 - r22403; double r22405 = r22397 * r22404; double r22406 = r22398 * r22397; double r22407 = exp(r22406); double r22408 = r22407 - r22403; double r22409 = r22399 * r22397; double r22410 = exp(r22409); double r22411 = r22410 - r22403; double r22412 = r22408 * r22411; double r22413 = r22405 / r22412; return r22413; } double f_of(float a, float b, float eps) { float r22414 = eps; float r22415 = a; float r22416 = b; float r22417 = r22415 + r22416; float r22418 = r22417 * r22414; float r22419 = exp(r22418); float r22420 = 1; float r22421 = r22419 - r22420; float r22422 = r22414 * r22421; float r22423 = r22415 * r22414; float r22424 = exp(r22423); float r22425 = r22424 - r22420; float r22426 = r22416 * r22414; float r22427 = exp(r22426); float r22428 = r22427 - r22420; float r22429 = r22425 * r22428; float r22430 = r22422 / r22429; float r22431 = -inf.0; bool r22432 = r22430 <= r22431; float r22433 = r22420 / r22416; float r22434 = r22420 / r22415; float r22435 = r22433 + r22434; float r22436 = 1.0369364811901888e-50; bool r22437 = r22430 <= r22436; float r22438 = r22429 / r22422; float r22439 = r22420 / r22438; float r22440 = r22437 ? r22439 : r22435; float r22441 = r22432 ? r22435 : r22440; return r22441; } double f_od(double a, double b, double eps) { double r22442 = eps; double r22443 = a; double r22444 = b; double r22445 = r22443 + r22444; double r22446 = r22445 * r22442; double r22447 = exp(r22446); double r22448 = 1; double r22449 = r22447 - r22448; double r22450 = r22442 * r22449; double r22451 = r22443 * r22442; double r22452 = exp(r22451); double r22453 = r22452 - r22448; double r22454 = r22444 * r22442; double r22455 = exp(r22454); double r22456 = r22455 - r22448; double r22457 = r22453 * r22456; double r22458 = r22450 / r22457; double r22459 = -inf.0; bool r22460 = r22458 <= r22459; double r22461 = r22448 / r22444; double r22462 = r22448 / r22443; double r22463 = r22461 + r22462; double r22464 = 1.0369364811901888e-50; bool r22465 = r22458 <= r22464; double r22466 = r22457 / r22450; double r22467 = r22448 / r22466; double r22468 = r22465 ? r22467 : r22463; double r22469 = r22460 ? r22463 : r22468; return r22469; } 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 r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480, r22481, r22482, r22483, r22484, r22485, r22486; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r22470); mpfr_init(r22471); mpfr_init(r22472); mpfr_init(r22473); mpfr_init(r22474); mpfr_init(r22475); mpfr_init_set_str(r22476, "1", 10, MPFR_RNDN); mpfr_init(r22477); mpfr_init(r22478); mpfr_init(r22479); mpfr_init(r22480); mpfr_init(r22481); mpfr_init(r22482); mpfr_init(r22483); mpfr_init(r22484); mpfr_init(r22485); mpfr_init(r22486); } double f_im(double a, double b, double eps) { mpfr_set_d(r22470, eps, MPFR_RNDN); mpfr_set_d(r22471, a, MPFR_RNDN); mpfr_set_d(r22472, b, MPFR_RNDN); mpfr_add(r22473, r22471, r22472, MPFR_RNDN); mpfr_mul(r22474, r22473, r22470, MPFR_RNDN); mpfr_exp(r22475, r22474, MPFR_RNDN); ; mpfr_sub(r22477, r22475, r22476, MPFR_RNDN); mpfr_mul(r22478, r22470, r22477, MPFR_RNDN); mpfr_mul(r22479, r22471, r22470, MPFR_RNDN); mpfr_exp(r22480, r22479, MPFR_RNDN); mpfr_sub(r22481, r22480, r22476, MPFR_RNDN); mpfr_mul(r22482, r22472, r22470, MPFR_RNDN); mpfr_exp(r22483, r22482, MPFR_RNDN); mpfr_sub(r22484, r22483, r22476, MPFR_RNDN); mpfr_mul(r22485, r22481, r22484, MPFR_RNDN); mpfr_div(r22486, r22478, r22485, MPFR_RNDN); return mpfr_get_d(r22486, MPFR_RNDN); } static mpfr_t r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505, r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r22487); mpfr_init(r22488); mpfr_init(r22489); mpfr_init(r22490); mpfr_init(r22491); mpfr_init(r22492); mpfr_init_set_str(r22493, "1", 10, MPFR_RNDN); mpfr_init(r22494); mpfr_init(r22495); mpfr_init(r22496); mpfr_init(r22497); mpfr_init(r22498); mpfr_init(r22499); mpfr_init(r22500); mpfr_init(r22501); mpfr_init(r22502); mpfr_init(r22503); mpfr_init_set_str(r22504, "-inf.0", 10, MPFR_RNDN); mpfr_init(r22505); mpfr_init(r22506); mpfr_init(r22507); mpfr_init(r22508); mpfr_init_set_str(r22509, "1.0369364811901888e-50", 10, MPFR_RNDN); mpfr_init(r22510); mpfr_init(r22511); mpfr_init(r22512); mpfr_init(r22513); mpfr_init(r22514); } double f_fm(double a, double b, double eps) { mpfr_set_d(r22487, eps, MPFR_RNDN); mpfr_set_d(r22488, a, MPFR_RNDN); mpfr_set_d(r22489, b, MPFR_RNDN); mpfr_add(r22490, r22488, r22489, MPFR_RNDN); mpfr_mul(r22491, r22490, r22487, MPFR_RNDN); mpfr_exp(r22492, r22491, MPFR_RNDN); ; mpfr_sub(r22494, r22492, r22493, MPFR_RNDN); mpfr_mul(r22495, r22487, r22494, MPFR_RNDN); mpfr_mul(r22496, r22488, r22487, MPFR_RNDN); mpfr_exp(r22497, r22496, MPFR_RNDN); mpfr_sub(r22498, r22497, r22493, MPFR_RNDN); mpfr_mul(r22499, r22489, r22487, MPFR_RNDN); mpfr_exp(r22500, r22499, MPFR_RNDN); mpfr_sub(r22501, r22500, r22493, MPFR_RNDN); mpfr_mul(r22502, r22498, r22501, MPFR_RNDN); mpfr_div(r22503, r22495, r22502, MPFR_RNDN); ; mpfr_set_si(r22505, mpfr_cmp(r22503, r22504) <= 0, MPFR_RNDN); mpfr_div(r22506, r22493, r22489, MPFR_RNDN); mpfr_div(r22507, r22493, r22488, MPFR_RNDN); mpfr_add(r22508, r22506, r22507, MPFR_RNDN); ; mpfr_set_si(r22510, mpfr_cmp(r22503, r22509) <= 0, MPFR_RNDN); mpfr_div(r22511, r22502, r22495, MPFR_RNDN); mpfr_div(r22512, r22493, r22511, MPFR_RNDN); if (mpfr_get_si(r22510, MPFR_RNDN)) { mpfr_set(r22513, r22512, MPFR_RNDN); } else { mpfr_set(r22513, r22508, MPFR_RNDN); }; if (mpfr_get_si(r22505, MPFR_RNDN)) { mpfr_set(r22514, r22508, MPFR_RNDN); } else { mpfr_set(r22514, r22513, MPFR_RNDN); }; return mpfr_get_d(r22514, MPFR_RNDN); } static mpfr_t r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r22515); mpfr_init(r22516); mpfr_init(r22517); mpfr_init(r22518); mpfr_init(r22519); mpfr_init(r22520); mpfr_init_set_str(r22521, "1", 10, MPFR_RNDN); mpfr_init(r22522); mpfr_init(r22523); mpfr_init(r22524); mpfr_init(r22525); mpfr_init(r22526); mpfr_init(r22527); mpfr_init(r22528); mpfr_init(r22529); mpfr_init(r22530); mpfr_init(r22531); mpfr_init_set_str(r22532, "-inf.0", 10, MPFR_RNDN); mpfr_init(r22533); mpfr_init(r22534); mpfr_init(r22535); mpfr_init(r22536); mpfr_init_set_str(r22537, "1.0369364811901888e-50", 10, MPFR_RNDN); mpfr_init(r22538); mpfr_init(r22539); mpfr_init(r22540); mpfr_init(r22541); mpfr_init(r22542); } double f_dm(double a, double b, double eps) { mpfr_set_d(r22515, eps, MPFR_RNDN); mpfr_set_d(r22516, a, MPFR_RNDN); mpfr_set_d(r22517, b, MPFR_RNDN); mpfr_add(r22518, r22516, r22517, MPFR_RNDN); mpfr_mul(r22519, r22518, r22515, MPFR_RNDN); mpfr_exp(r22520, r22519, MPFR_RNDN); ; mpfr_sub(r22522, r22520, r22521, MPFR_RNDN); mpfr_mul(r22523, r22515, r22522, MPFR_RNDN); mpfr_mul(r22524, r22516, r22515, MPFR_RNDN); mpfr_exp(r22525, r22524, MPFR_RNDN); mpfr_sub(r22526, r22525, r22521, MPFR_RNDN); mpfr_mul(r22527, r22517, r22515, MPFR_RNDN); mpfr_exp(r22528, r22527, MPFR_RNDN); mpfr_sub(r22529, r22528, r22521, MPFR_RNDN); mpfr_mul(r22530, r22526, r22529, MPFR_RNDN); mpfr_div(r22531, r22523, r22530, MPFR_RNDN); ; mpfr_set_si(r22533, mpfr_cmp(r22531, r22532) <= 0, MPFR_RNDN); mpfr_div(r22534, r22521, r22517, MPFR_RNDN); mpfr_div(r22535, r22521, r22516, MPFR_RNDN); mpfr_add(r22536, r22534, r22535, MPFR_RNDN); ; mpfr_set_si(r22538, mpfr_cmp(r22531, r22537) <= 0, MPFR_RNDN); mpfr_div(r22539, r22530, r22523, MPFR_RNDN); mpfr_div(r22540, r22521, r22539, MPFR_RNDN); if (mpfr_get_si(r22538, MPFR_RNDN)) { mpfr_set(r22541, r22540, MPFR_RNDN); } else { mpfr_set(r22541, r22536, MPFR_RNDN); }; if (mpfr_get_si(r22533, MPFR_RNDN)) { mpfr_set(r22542, r22536, MPFR_RNDN); } else { mpfr_set(r22542, r22541, MPFR_RNDN); }; return mpfr_get_d(r22542, MPFR_RNDN); }