#include #include #include #include #include char *name = "expq3 (problem 3.4.2)"; double f_if(float a, float b, float eps) { float r24363 = eps; float r24364 = a; float r24365 = b; float r24366 = r24364 + r24365; float r24367 = r24366 * r24363; float r24368 = exp(r24367); float r24369 = 1; float r24370 = r24368 - r24369; float r24371 = r24363 * r24370; float r24372 = r24364 * r24363; float r24373 = exp(r24372); float r24374 = r24373 - r24369; float r24375 = r24365 * r24363; float r24376 = exp(r24375); float r24377 = r24376 - r24369; float r24378 = r24374 * r24377; float r24379 = r24371 / r24378; return r24379; } double f_id(double a, double b, double eps) { double r24380 = eps; double r24381 = a; double r24382 = b; double r24383 = r24381 + r24382; double r24384 = r24383 * r24380; double r24385 = exp(r24384); double r24386 = 1; double r24387 = r24385 - r24386; double r24388 = r24380 * r24387; double r24389 = r24381 * r24380; double r24390 = exp(r24389); double r24391 = r24390 - r24386; double r24392 = r24382 * r24380; double r24393 = exp(r24392); double r24394 = r24393 - r24386; double r24395 = r24391 * r24394; double r24396 = r24388 / r24395; return r24396; } double f_of(float a, float b, float eps) { float r24397 = eps; float r24398 = a; float r24399 = b; float r24400 = r24398 + r24399; float r24401 = r24400 * r24397; float r24402 = exp(r24401); float r24403 = 1; float r24404 = r24402 - r24403; float r24405 = r24397 * r24404; float r24406 = r24397 * r24398; float r24407 = expm1(r24406); float r24408 = 3; float r24409 = pow(r24407, r24408); float r24410 = cbrt(r24409); float r24411 = r24399 * r24397; float r24412 = exp(r24411); float r24413 = r24412 - r24403; float r24414 = r24410 * r24413; float r24415 = r24405 / r24414; float r24416 = -inf.0; bool r24417 = r24415 <= r24416; float r24418 = r24403 / r24399; float r24419 = r24403 / r24398; float r24420 = r24418 + r24419; float r24421 = 1.4571872936964753e+23; bool r24422 = r24415 <= r24421; float r24423 = expm1(r24411); float r24424 = r24423 * r24407; float r24425 = r24399 + r24398; float r24426 = r24425 * r24397; float r24427 = expm1(r24426); float r24428 = r24424 / r24427; float r24429 = r24397 / r24428; float r24430 = r24422 ? r24429 : r24420; float r24431 = r24417 ? r24420 : r24430; return r24431; } double f_od(double a, double b, double eps) { double r24432 = eps; double r24433 = a; double r24434 = b; double r24435 = r24433 + r24434; double r24436 = r24435 * r24432; double r24437 = exp(r24436); double r24438 = 1; double r24439 = r24437 - r24438; double r24440 = r24432 * r24439; double r24441 = r24432 * r24433; double r24442 = expm1(r24441); double r24443 = 3; double r24444 = pow(r24442, r24443); double r24445 = cbrt(r24444); double r24446 = r24434 * r24432; double r24447 = exp(r24446); double r24448 = r24447 - r24438; double r24449 = r24445 * r24448; double r24450 = r24440 / r24449; double r24451 = -inf.0; bool r24452 = r24450 <= r24451; double r24453 = r24438 / r24434; double r24454 = r24438 / r24433; double r24455 = r24453 + r24454; double r24456 = 1.4571872936964753e+23; bool r24457 = r24450 <= r24456; double r24458 = expm1(r24446); double r24459 = r24458 * r24442; double r24460 = r24434 + r24433; double r24461 = r24460 * r24432; double r24462 = expm1(r24461); double r24463 = r24459 / r24462; double r24464 = r24432 / r24463; double r24465 = r24457 ? r24464 : r24455; double r24466 = r24452 ? r24455 : r24465; return r24466; } 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 r24467, r24468, r24469, r24470, r24471, r24472, r24473, r24474, r24475, r24476, r24477, r24478, r24479, r24480, r24481, r24482, r24483; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r24467); mpfr_init(r24468); mpfr_init(r24469); mpfr_init(r24470); mpfr_init(r24471); mpfr_init(r24472); mpfr_init_set_str(r24473, "1", 10, MPFR_RNDN); mpfr_init(r24474); mpfr_init(r24475); mpfr_init(r24476); mpfr_init(r24477); mpfr_init(r24478); mpfr_init(r24479); mpfr_init(r24480); mpfr_init(r24481); mpfr_init(r24482); mpfr_init(r24483); } double f_im(double a, double b, double eps) { mpfr_set_d(r24467, eps, MPFR_RNDN); mpfr_set_d(r24468, a, MPFR_RNDN); mpfr_set_d(r24469, b, MPFR_RNDN); mpfr_add(r24470, r24468, r24469, MPFR_RNDN); mpfr_mul(r24471, r24470, r24467, MPFR_RNDN); mpfr_exp(r24472, r24471, MPFR_RNDN); ; mpfr_sub(r24474, r24472, r24473, MPFR_RNDN); mpfr_mul(r24475, r24467, r24474, MPFR_RNDN); mpfr_mul(r24476, r24468, r24467, MPFR_RNDN); mpfr_exp(r24477, r24476, MPFR_RNDN); mpfr_sub(r24478, r24477, r24473, MPFR_RNDN); mpfr_mul(r24479, r24469, r24467, MPFR_RNDN); mpfr_exp(r24480, r24479, MPFR_RNDN); mpfr_sub(r24481, r24480, r24473, MPFR_RNDN); mpfr_mul(r24482, r24478, r24481, MPFR_RNDN); mpfr_div(r24483, r24475, r24482, MPFR_RNDN); return mpfr_get_d(r24483, MPFR_RNDN); } static mpfr_t r24484, r24485, r24486, r24487, r24488, r24489, r24490, r24491, r24492, r24493, r24494, r24495, r24496, r24497, r24498, r24499, r24500, r24501, r24502, r24503, r24504, r24505, r24506, r24507, r24508, r24509, r24510, r24511, r24512, r24513, r24514, r24515, r24516, r24517, r24518; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r24484); mpfr_init(r24485); mpfr_init(r24486); mpfr_init(r24487); mpfr_init(r24488); mpfr_init(r24489); mpfr_init_set_str(r24490, "1", 10, MPFR_RNDN); mpfr_init(r24491); mpfr_init(r24492); mpfr_init(r24493); mpfr_init(r24494); mpfr_init_set_str(r24495, "3", 10, MPFR_RNDN); mpfr_init(r24496); mpfr_init(r24497); mpfr_init(r24498); mpfr_init(r24499); mpfr_init(r24500); mpfr_init(r24501); mpfr_init(r24502); mpfr_init_set_str(r24503, "-inf.0", 10, MPFR_RNDN); mpfr_init(r24504); mpfr_init(r24505); mpfr_init(r24506); mpfr_init(r24507); mpfr_init_set_str(r24508, "1.4571872936964753e+23", 10, MPFR_RNDN); mpfr_init(r24509); mpfr_init(r24510); mpfr_init(r24511); mpfr_init(r24512); mpfr_init(r24513); mpfr_init(r24514); mpfr_init(r24515); mpfr_init(r24516); mpfr_init(r24517); mpfr_init(r24518); } double f_fm(double a, double b, double eps) { mpfr_set_d(r24484, eps, MPFR_RNDN); mpfr_set_d(r24485, a, MPFR_RNDN); mpfr_set_d(r24486, b, MPFR_RNDN); mpfr_add(r24487, r24485, r24486, MPFR_RNDN); mpfr_mul(r24488, r24487, r24484, MPFR_RNDN); mpfr_exp(r24489, r24488, MPFR_RNDN); ; mpfr_sub(r24491, r24489, r24490, MPFR_RNDN); mpfr_mul(r24492, r24484, r24491, MPFR_RNDN); mpfr_mul(r24493, r24484, r24485, MPFR_RNDN); mpfr_expm1(r24494, r24493, MPFR_RNDN); ; mpfr_pow(r24496, r24494, r24495, MPFR_RNDN); mpfr_cbrt(r24497, r24496, MPFR_RNDN); mpfr_mul(r24498, r24486, r24484, MPFR_RNDN); mpfr_exp(r24499, r24498, MPFR_RNDN); mpfr_sub(r24500, r24499, r24490, MPFR_RNDN); mpfr_mul(r24501, r24497, r24500, MPFR_RNDN); mpfr_div(r24502, r24492, r24501, MPFR_RNDN); ; mpfr_set_si(r24504, mpfr_cmp(r24502, r24503) <= 0, MPFR_RNDN); mpfr_div(r24505, r24490, r24486, MPFR_RNDN); mpfr_div(r24506, r24490, r24485, MPFR_RNDN); mpfr_add(r24507, r24505, r24506, MPFR_RNDN); ; mpfr_set_si(r24509, mpfr_cmp(r24502, r24508) <= 0, MPFR_RNDN); mpfr_expm1(r24510, r24498, MPFR_RNDN); mpfr_mul(r24511, r24510, r24494, MPFR_RNDN); mpfr_add(r24512, r24486, r24485, MPFR_RNDN); mpfr_mul(r24513, r24512, r24484, MPFR_RNDN); mpfr_expm1(r24514, r24513, MPFR_RNDN); mpfr_div(r24515, r24511, r24514, MPFR_RNDN); mpfr_div(r24516, r24484, r24515, MPFR_RNDN); if (mpfr_get_si(r24509, MPFR_RNDN)) { mpfr_set(r24517, r24516, MPFR_RNDN); } else { mpfr_set(r24517, r24507, MPFR_RNDN); }; if (mpfr_get_si(r24504, MPFR_RNDN)) { mpfr_set(r24518, r24507, MPFR_RNDN); } else { mpfr_set(r24518, r24517, MPFR_RNDN); }; return mpfr_get_d(r24518, MPFR_RNDN); } static mpfr_t r24519, r24520, r24521, r24522, r24523, r24524, r24525, r24526, r24527, r24528, r24529, r24530, r24531, r24532, r24533, r24534, r24535, r24536, r24537, r24538, r24539, r24540, r24541, r24542, r24543, r24544, r24545, r24546, r24547, r24548, r24549, r24550, r24551, r24552, r24553; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init(r24519); mpfr_init(r24520); mpfr_init(r24521); mpfr_init(r24522); mpfr_init(r24523); mpfr_init(r24524); mpfr_init_set_str(r24525, "1", 10, MPFR_RNDN); mpfr_init(r24526); mpfr_init(r24527); mpfr_init(r24528); mpfr_init(r24529); mpfr_init_set_str(r24530, "3", 10, MPFR_RNDN); mpfr_init(r24531); mpfr_init(r24532); mpfr_init(r24533); mpfr_init(r24534); mpfr_init(r24535); mpfr_init(r24536); mpfr_init(r24537); mpfr_init_set_str(r24538, "-inf.0", 10, MPFR_RNDN); mpfr_init(r24539); mpfr_init(r24540); mpfr_init(r24541); mpfr_init(r24542); mpfr_init_set_str(r24543, "1.4571872936964753e+23", 10, MPFR_RNDN); mpfr_init(r24544); mpfr_init(r24545); mpfr_init(r24546); mpfr_init(r24547); mpfr_init(r24548); mpfr_init(r24549); mpfr_init(r24550); mpfr_init(r24551); mpfr_init(r24552); mpfr_init(r24553); } double f_dm(double a, double b, double eps) { mpfr_set_d(r24519, eps, MPFR_RNDN); mpfr_set_d(r24520, a, MPFR_RNDN); mpfr_set_d(r24521, b, MPFR_RNDN); mpfr_add(r24522, r24520, r24521, MPFR_RNDN); mpfr_mul(r24523, r24522, r24519, MPFR_RNDN); mpfr_exp(r24524, r24523, MPFR_RNDN); ; mpfr_sub(r24526, r24524, r24525, MPFR_RNDN); mpfr_mul(r24527, r24519, r24526, MPFR_RNDN); mpfr_mul(r24528, r24519, r24520, MPFR_RNDN); mpfr_expm1(r24529, r24528, MPFR_RNDN); ; mpfr_pow(r24531, r24529, r24530, MPFR_RNDN); mpfr_cbrt(r24532, r24531, MPFR_RNDN); mpfr_mul(r24533, r24521, r24519, MPFR_RNDN); mpfr_exp(r24534, r24533, MPFR_RNDN); mpfr_sub(r24535, r24534, r24525, MPFR_RNDN); mpfr_mul(r24536, r24532, r24535, MPFR_RNDN); mpfr_div(r24537, r24527, r24536, MPFR_RNDN); ; mpfr_set_si(r24539, mpfr_cmp(r24537, r24538) <= 0, MPFR_RNDN); mpfr_div(r24540, r24525, r24521, MPFR_RNDN); mpfr_div(r24541, r24525, r24520, MPFR_RNDN); mpfr_add(r24542, r24540, r24541, MPFR_RNDN); ; mpfr_set_si(r24544, mpfr_cmp(r24537, r24543) <= 0, MPFR_RNDN); mpfr_expm1(r24545, r24533, MPFR_RNDN); mpfr_mul(r24546, r24545, r24529, MPFR_RNDN); mpfr_add(r24547, r24521, r24520, MPFR_RNDN); mpfr_mul(r24548, r24547, r24519, MPFR_RNDN); mpfr_expm1(r24549, r24548, MPFR_RNDN); mpfr_div(r24550, r24546, r24549, MPFR_RNDN); mpfr_div(r24551, r24519, r24550, MPFR_RNDN); if (mpfr_get_si(r24544, MPFR_RNDN)) { mpfr_set(r24552, r24551, MPFR_RNDN); } else { mpfr_set(r24552, r24542, MPFR_RNDN); }; if (mpfr_get_si(r24539, MPFR_RNDN)) { mpfr_set(r24553, r24542, MPFR_RNDN); } else { mpfr_set(r24553, r24552, MPFR_RNDN); }; return mpfr_get_d(r24553, MPFR_RNDN); }