#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r22432 = eps; float r22433 = a; float r22434 = b; float r22435 = r22433 + r22434; float r22436 = r22435 * r22432; float r22437 = exp(r22436); float r22438 = 1; float r22439 = r22437 - r22438; float r22440 = r22432 * r22439; float r22441 = r22433 * r22432; float r22442 = exp(r22441); float r22443 = r22442 - r22438; float r22444 = r22434 * r22432; float r22445 = exp(r22444); float r22446 = r22445 - r22438; float r22447 = r22443 * r22446; float r22448 = r22440 / r22447; return r22448; } double f_id(double a, double b, double eps) { double r22449 = eps; double r22450 = a; double r22451 = b; double r22452 = r22450 + r22451; double r22453 = r22452 * r22449; double r22454 = exp(r22453); double r22455 = 1; double r22456 = r22454 - r22455; double r22457 = r22449 * r22456; double r22458 = r22450 * r22449; double r22459 = exp(r22458); double r22460 = r22459 - r22455; double r22461 = r22451 * r22449; double r22462 = exp(r22461); double r22463 = r22462 - r22455; double r22464 = r22460 * r22463; double r22465 = r22457 / r22464; return r22465; } double f_of(float a, float b, float eps) { float r22466 = a; float r22467 = b; float r22468 = r22466 + r22467; float r22469 = eps; float r22470 = r22468 * r22469; float r22471 = expm1(r22470); float r22472 = r22466 * r22469; float r22473 = expm1(r22472); float r22474 = r22471 / r22473; float r22475 = r22467 * r22469; float r22476 = expm1(r22475); float r22477 = r22469 / r22476; float r22478 = r22474 * r22477; float r22479 = -0.2684139380331385; bool r22480 = r22478 <= r22479; float r22481 = 1; float r22482 = r22481 / r22467; float r22483 = r22481 / r22466; float r22484 = r22482 + r22483; float r22485 = 2.0738728361243063e-50; bool r22486 = r22478 <= r22485; float r22487 = r22486 ? r22478 : r22484; float r22488 = r22480 ? r22484 : r22487; return r22488; } double f_od(double a, double b, double eps) { double r22489 = a; double r22490 = b; double r22491 = r22489 + r22490; double r22492 = eps; double r22493 = r22491 * r22492; double r22494 = expm1(r22493); double r22495 = r22489 * r22492; double r22496 = expm1(r22495); double r22497 = r22494 / r22496; double r22498 = r22490 * r22492; double r22499 = expm1(r22498); double r22500 = r22492 / r22499; double r22501 = r22497 * r22500; double r22502 = -0.2684139380331385; bool r22503 = r22501 <= r22502; double r22504 = 1; double r22505 = r22504 / r22490; double r22506 = r22504 / r22489; double r22507 = r22505 + r22506; double r22508 = 2.0738728361243063e-50; bool r22509 = r22501 <= r22508; double r22510 = r22509 ? r22501 : r22507; double r22511 = r22503 ? r22507 : r22510; return r22511; } 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 r22512, r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528; void setup_mpfr_f_im() { mpfr_set_default_prec(2448); mpfr_init(r22512); mpfr_init(r22513); mpfr_init(r22514); mpfr_init(r22515); mpfr_init(r22516); mpfr_init(r22517); mpfr_init_set_str(r22518, "1", 10, MPFR_RNDN); mpfr_init(r22519); mpfr_init(r22520); mpfr_init(r22521); mpfr_init(r22522); mpfr_init(r22523); mpfr_init(r22524); mpfr_init(r22525); mpfr_init(r22526); mpfr_init(r22527); mpfr_init(r22528); } double f_im(double a, double b, double eps) { mpfr_set_d(r22512, eps, MPFR_RNDN); mpfr_set_d(r22513, a, MPFR_RNDN); mpfr_set_d(r22514, b, MPFR_RNDN); mpfr_add(r22515, r22513, r22514, MPFR_RNDN); mpfr_mul(r22516, r22515, r22512, MPFR_RNDN); mpfr_exp(r22517, r22516, MPFR_RNDN); ; mpfr_sub(r22519, r22517, r22518, MPFR_RNDN); mpfr_mul(r22520, r22512, r22519, MPFR_RNDN); mpfr_mul(r22521, r22513, r22512, MPFR_RNDN); mpfr_exp(r22522, r22521, MPFR_RNDN); mpfr_sub(r22523, r22522, r22518, MPFR_RNDN); mpfr_mul(r22524, r22514, r22512, MPFR_RNDN); mpfr_exp(r22525, r22524, MPFR_RNDN); mpfr_sub(r22526, r22525, r22518, MPFR_RNDN); mpfr_mul(r22527, r22523, r22526, MPFR_RNDN); mpfr_div(r22528, r22520, r22527, MPFR_RNDN); return mpfr_get_d(r22528, MPFR_RNDN); } static mpfr_t r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551; void setup_mpfr_f_fm() { mpfr_set_default_prec(2448); mpfr_init(r22529); mpfr_init(r22530); mpfr_init(r22531); mpfr_init(r22532); mpfr_init(r22533); mpfr_init(r22534); mpfr_init(r22535); mpfr_init(r22536); mpfr_init(r22537); mpfr_init(r22538); mpfr_init(r22539); mpfr_init(r22540); mpfr_init(r22541); mpfr_init_set_str(r22542, "-0.2684139380331385", 10, MPFR_RNDN); mpfr_init(r22543); mpfr_init_set_str(r22544, "1", 10, MPFR_RNDN); mpfr_init(r22545); mpfr_init(r22546); mpfr_init(r22547); mpfr_init_set_str(r22548, "2.0738728361243063e-50", 10, MPFR_RNDN); mpfr_init(r22549); mpfr_init(r22550); mpfr_init(r22551); } double f_fm(double a, double b, double eps) { mpfr_set_d(r22529, a, MPFR_RNDN); mpfr_set_d(r22530, b, MPFR_RNDN); mpfr_add(r22531, r22529, r22530, MPFR_RNDN); mpfr_set_d(r22532, eps, MPFR_RNDN); mpfr_mul(r22533, r22531, r22532, MPFR_RNDN); mpfr_expm1(r22534, r22533, MPFR_RNDN); mpfr_mul(r22535, r22529, r22532, MPFR_RNDN); mpfr_expm1(r22536, r22535, MPFR_RNDN); mpfr_div(r22537, r22534, r22536, MPFR_RNDN); mpfr_mul(r22538, r22530, r22532, MPFR_RNDN); mpfr_expm1(r22539, r22538, MPFR_RNDN); mpfr_div(r22540, r22532, r22539, MPFR_RNDN); mpfr_mul(r22541, r22537, r22540, MPFR_RNDN); ; mpfr_set_si(r22543, mpfr_cmp(r22541, r22542) <= 0, MPFR_RNDN); ; mpfr_div(r22545, r22544, r22530, MPFR_RNDN); mpfr_div(r22546, r22544, r22529, MPFR_RNDN); mpfr_add(r22547, r22545, r22546, MPFR_RNDN); ; mpfr_set_si(r22549, mpfr_cmp(r22541, r22548) <= 0, MPFR_RNDN); if (mpfr_get_si(r22549, MPFR_RNDN)) { mpfr_set(r22550, r22541, MPFR_RNDN); } else { mpfr_set(r22550, r22547, MPFR_RNDN); }; if (mpfr_get_si(r22543, MPFR_RNDN)) { mpfr_set(r22551, r22547, MPFR_RNDN); } else { mpfr_set(r22551, r22550, MPFR_RNDN); }; return mpfr_get_d(r22551, MPFR_RNDN); } static mpfr_t r22552, r22553, r22554, r22555, r22556, r22557, r22558, r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574; void setup_mpfr_f_dm() { mpfr_set_default_prec(2448); mpfr_init(r22552); mpfr_init(r22553); mpfr_init(r22554); mpfr_init(r22555); mpfr_init(r22556); mpfr_init(r22557); mpfr_init(r22558); mpfr_init(r22559); mpfr_init(r22560); mpfr_init(r22561); mpfr_init(r22562); mpfr_init(r22563); mpfr_init(r22564); mpfr_init_set_str(r22565, "-0.2684139380331385", 10, MPFR_RNDN); mpfr_init(r22566); mpfr_init_set_str(r22567, "1", 10, MPFR_RNDN); mpfr_init(r22568); mpfr_init(r22569); mpfr_init(r22570); mpfr_init_set_str(r22571, "2.0738728361243063e-50", 10, MPFR_RNDN); mpfr_init(r22572); mpfr_init(r22573); mpfr_init(r22574); } double f_dm(double a, double b, double eps) { mpfr_set_d(r22552, a, MPFR_RNDN); mpfr_set_d(r22553, b, MPFR_RNDN); mpfr_add(r22554, r22552, r22553, MPFR_RNDN); mpfr_set_d(r22555, eps, MPFR_RNDN); mpfr_mul(r22556, r22554, r22555, MPFR_RNDN); mpfr_expm1(r22557, r22556, MPFR_RNDN); mpfr_mul(r22558, r22552, r22555, MPFR_RNDN); mpfr_expm1(r22559, r22558, MPFR_RNDN); mpfr_div(r22560, r22557, r22559, MPFR_RNDN); mpfr_mul(r22561, r22553, r22555, MPFR_RNDN); mpfr_expm1(r22562, r22561, MPFR_RNDN); mpfr_div(r22563, r22555, r22562, MPFR_RNDN); mpfr_mul(r22564, r22560, r22563, MPFR_RNDN); ; mpfr_set_si(r22566, mpfr_cmp(r22564, r22565) <= 0, MPFR_RNDN); ; mpfr_div(r22568, r22567, r22553, MPFR_RNDN); mpfr_div(r22569, r22567, r22552, MPFR_RNDN); mpfr_add(r22570, r22568, r22569, MPFR_RNDN); ; mpfr_set_si(r22572, mpfr_cmp(r22564, r22571) <= 0, MPFR_RNDN); if (mpfr_get_si(r22572, MPFR_RNDN)) { mpfr_set(r22573, r22564, MPFR_RNDN); } else { mpfr_set(r22573, r22570, MPFR_RNDN); }; if (mpfr_get_si(r22566, MPFR_RNDN)) { mpfr_set(r22574, r22570, MPFR_RNDN); } else { mpfr_set(r22574, r22573, MPFR_RNDN); }; return mpfr_get_d(r22574, MPFR_RNDN); }