#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r22355 = 2; float r22356 = n; float r22357 = r22355 * r22356; float r22358 = U; float r22359 = r22357 * r22358; float r22360 = t; float r22361 = l; float r22362 = r22361 * r22361; float r22363 = Om; float r22364 = r22362 / r22363; float r22365 = r22355 * r22364; float r22366 = r22360 - r22365; float r22367 = r22361 / r22363; float r22368 = pow(r22367, r22355); float r22369 = r22356 * r22368; float r22370 = U_; float r22371 = r22358 - r22370; float r22372 = r22369 * r22371; float r22373 = r22366 - r22372; float r22374 = r22359 * r22373; float r22375 = sqrt(r22374); return r22375; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22376 = 2; double r22377 = n; double r22378 = r22376 * r22377; double r22379 = U; double r22380 = r22378 * r22379; double r22381 = t; double r22382 = l; double r22383 = r22382 * r22382; double r22384 = Om; double r22385 = r22383 / r22384; double r22386 = r22376 * r22385; double r22387 = r22381 - r22386; double r22388 = r22382 / r22384; double r22389 = pow(r22388, r22376); double r22390 = r22377 * r22389; double r22391 = U_; double r22392 = r22379 - r22391; double r22393 = r22390 * r22392; double r22394 = r22387 - r22393; double r22395 = r22380 * r22394; double r22396 = sqrt(r22395); return r22396; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22397 = U; float r22398 = 2; float r22399 = r22397 * r22398; float r22400 = n; float r22401 = r22399 * r22400; float r22402 = -3.5100745589098e-318; bool r22403 = r22401 <= r22402; float r22404 = r22397 * r22400; float r22405 = r22404 * r22398; float r22406 = l; float r22407 = Om; float r22408 = r22406 / r22407; float r22409 = U_; float r22410 = r22409 - r22397; float r22411 = r22408 * r22400; float r22412 = r22410 * r22411; float r22413 = t; float r22414 = r22406 * r22398; float r22415 = r22414 * r22408; float r22416 = r22413 - r22415; float r22417 = fma(r22408, r22412, r22416); float r22418 = r22405 * r22417; float r22419 = 0; float r22420 = r22419 * r22400; float r22421 = r22420 * r22399; float r22422 = r22418 + r22421; float r22423 = 1/2; float r22424 = pow(r22422, r22423); float r22425 = 4.0127023623934e-319; bool r22426 = r22401 <= r22425; float r22427 = r22400 / r22407; float r22428 = r22427 * r22427; float r22429 = r22409 * r22397; float r22430 = r22406 * r22406; float r22431 = r22429 * r22430; float r22432 = r22406 * r22397; float r22433 = r22432 * r22432; float r22434 = r22431 - r22433; float r22435 = r22428 * r22434; float r22436 = r22413 * r22400; float r22437 = r22399 * r22436; float r22438 = fma(r22398, r22435, r22437); float r22439 = sqrt(r22438); float r22440 = r22398 * r22400; float r22441 = r22440 * r22397; float r22442 = sqrt(r22441); float r22443 = r22430 / r22407; float r22444 = r22398 * r22443; float r22445 = r22413 - r22444; float r22446 = pow(r22408, r22398); float r22447 = r22400 * r22446; float r22448 = r22397 - r22409; float r22449 = r22447 * r22448; float r22450 = r22445 - r22449; float r22451 = sqrt(r22450); float r22452 = r22442 * r22451; float r22453 = r22426 ? r22439 : r22452; float r22454 = r22403 ? r22424 : r22453; return r22454; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22455 = U; double r22456 = 2; double r22457 = r22455 * r22456; double r22458 = n; double r22459 = r22457 * r22458; double r22460 = -3.5100745589098e-318; bool r22461 = r22459 <= r22460; double r22462 = r22455 * r22458; double r22463 = r22462 * r22456; double r22464 = l; double r22465 = Om; double r22466 = r22464 / r22465; double r22467 = U_; double r22468 = r22467 - r22455; double r22469 = r22466 * r22458; double r22470 = r22468 * r22469; double r22471 = t; double r22472 = r22464 * r22456; double r22473 = r22472 * r22466; double r22474 = r22471 - r22473; double r22475 = fma(r22466, r22470, r22474); double r22476 = r22463 * r22475; double r22477 = 0; double r22478 = r22477 * r22458; double r22479 = r22478 * r22457; double r22480 = r22476 + r22479; double r22481 = 1/2; double r22482 = pow(r22480, r22481); double r22483 = 4.0127023623934e-319; bool r22484 = r22459 <= r22483; double r22485 = r22458 / r22465; double r22486 = r22485 * r22485; double r22487 = r22467 * r22455; double r22488 = r22464 * r22464; double r22489 = r22487 * r22488; double r22490 = r22464 * r22455; double r22491 = r22490 * r22490; double r22492 = r22489 - r22491; double r22493 = r22486 * r22492; double r22494 = r22471 * r22458; double r22495 = r22457 * r22494; double r22496 = fma(r22456, r22493, r22495); double r22497 = sqrt(r22496); double r22498 = r22456 * r22458; double r22499 = r22498 * r22455; double r22500 = sqrt(r22499); double r22501 = r22488 / r22465; double r22502 = r22456 * r22501; double r22503 = r22471 - r22502; double r22504 = pow(r22466, r22456); double r22505 = r22458 * r22504; double r22506 = r22455 - r22467; double r22507 = r22505 * r22506; double r22508 = r22503 - r22507; double r22509 = sqrt(r22508); double r22510 = r22500 * r22509; double r22511 = r22484 ? r22497 : r22510; double r22512 = r22461 ? r22482 : r22511; return r22512; } 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 r22513, r22514, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528, r22529, r22530, r22531, r22532, r22533; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22513, "2", 10, MPFR_RNDN); mpfr_init(r22514); mpfr_init(r22515); mpfr_init(r22516); mpfr_init(r22517); mpfr_init(r22518); 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); mpfr_init(r22529); mpfr_init(r22530); mpfr_init(r22531); mpfr_init(r22532); mpfr_init(r22533); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22514, n, MPFR_RNDN); mpfr_mul(r22515, r22513, r22514, MPFR_RNDN); mpfr_set_d(r22516, U, MPFR_RNDN); mpfr_mul(r22517, r22515, r22516, MPFR_RNDN); mpfr_set_d(r22518, t, MPFR_RNDN); mpfr_set_d(r22519, l, MPFR_RNDN); mpfr_mul(r22520, r22519, r22519, MPFR_RNDN); mpfr_set_d(r22521, Om, MPFR_RNDN); mpfr_div(r22522, r22520, r22521, MPFR_RNDN); mpfr_mul(r22523, r22513, r22522, MPFR_RNDN); mpfr_sub(r22524, r22518, r22523, MPFR_RNDN); mpfr_div(r22525, r22519, r22521, MPFR_RNDN); mpfr_pow(r22526, r22525, r22513, MPFR_RNDN); mpfr_mul(r22527, r22514, r22526, MPFR_RNDN); mpfr_set_d(r22528, U_, MPFR_RNDN); mpfr_sub(r22529, r22516, r22528, MPFR_RNDN); mpfr_mul(r22530, r22527, r22529, MPFR_RNDN); mpfr_sub(r22531, r22524, r22530, MPFR_RNDN); mpfr_mul(r22532, r22517, r22531, MPFR_RNDN); mpfr_sqrt(r22533, r22532, MPFR_RNDN); return mpfr_get_d(r22533, MPFR_RNDN); } static mpfr_t r22534, r22535, r22536, r22537, r22538, r22539, r22540, r22541, r22542, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553, r22554, r22555, r22556, r22557, r22558, r22559, r22560, r22561, r22562, r22563, r22564, r22565, r22566, r22567, r22568, r22569, r22570, r22571, r22572, r22573, r22574, r22575, r22576, r22577, r22578, r22579, r22580, r22581, r22582, r22583, r22584, r22585, r22586, r22587, r22588, r22589, r22590, r22591; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r22534); mpfr_init_set_str(r22535, "2", 10, MPFR_RNDN); mpfr_init(r22536); mpfr_init(r22537); mpfr_init(r22538); mpfr_init_set_str(r22539, "-3.5100745589098e-318", 10, MPFR_RNDN); mpfr_init(r22540); mpfr_init(r22541); mpfr_init(r22542); mpfr_init(r22543); mpfr_init(r22544); mpfr_init(r22545); mpfr_init(r22546); mpfr_init(r22547); mpfr_init(r22548); mpfr_init(r22549); mpfr_init(r22550); mpfr_init(r22551); mpfr_init(r22552); mpfr_init(r22553); mpfr_init(r22554); mpfr_init(r22555); mpfr_init_set_str(r22556, "0", 10, MPFR_RNDN); mpfr_init(r22557); mpfr_init(r22558); mpfr_init(r22559); mpfr_init_set_str(r22560, "1/2", 10, MPFR_RNDN); mpfr_init(r22561); mpfr_init_set_str(r22562, "4.0127023623934e-319", 10, MPFR_RNDN); mpfr_init(r22563); mpfr_init(r22564); mpfr_init(r22565); mpfr_init(r22566); mpfr_init(r22567); mpfr_init(r22568); mpfr_init(r22569); mpfr_init(r22570); mpfr_init(r22571); mpfr_init(r22572); mpfr_init(r22573); mpfr_init(r22574); mpfr_init(r22575); mpfr_init(r22576); mpfr_init(r22577); mpfr_init(r22578); mpfr_init(r22579); mpfr_init(r22580); mpfr_init(r22581); mpfr_init(r22582); mpfr_init(r22583); mpfr_init(r22584); mpfr_init(r22585); mpfr_init(r22586); mpfr_init(r22587); mpfr_init(r22588); mpfr_init(r22589); mpfr_init(r22590); mpfr_init(r22591); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22534, U, MPFR_RNDN); ; mpfr_mul(r22536, r22534, r22535, MPFR_RNDN); mpfr_set_d(r22537, n, MPFR_RNDN); mpfr_mul(r22538, r22536, r22537, MPFR_RNDN); ; mpfr_set_si(r22540, mpfr_cmp(r22538, r22539) <= 0, MPFR_RNDN); mpfr_mul(r22541, r22534, r22537, MPFR_RNDN); mpfr_mul(r22542, r22541, r22535, MPFR_RNDN); mpfr_set_d(r22543, l, MPFR_RNDN); mpfr_set_d(r22544, Om, MPFR_RNDN); mpfr_div(r22545, r22543, r22544, MPFR_RNDN); mpfr_set_d(r22546, U_, MPFR_RNDN); mpfr_sub(r22547, r22546, r22534, MPFR_RNDN); mpfr_mul(r22548, r22545, r22537, MPFR_RNDN); mpfr_mul(r22549, r22547, r22548, MPFR_RNDN); mpfr_set_d(r22550, t, MPFR_RNDN); mpfr_mul(r22551, r22543, r22535, MPFR_RNDN); mpfr_mul(r22552, r22551, r22545, MPFR_RNDN); mpfr_sub(r22553, r22550, r22552, MPFR_RNDN); mpfr_fma(r22554, r22545, r22549, r22553, MPFR_RNDN); mpfr_mul(r22555, r22542, r22554, MPFR_RNDN); ; mpfr_mul(r22557, r22556, r22537, MPFR_RNDN); mpfr_mul(r22558, r22557, r22536, MPFR_RNDN); mpfr_add(r22559, r22555, r22558, MPFR_RNDN); ; mpfr_pow(r22561, r22559, r22560, MPFR_RNDN); ; mpfr_set_si(r22563, mpfr_cmp(r22538, r22562) <= 0, MPFR_RNDN); mpfr_div(r22564, r22537, r22544, MPFR_RNDN); mpfr_mul(r22565, r22564, r22564, MPFR_RNDN); mpfr_mul(r22566, r22546, r22534, MPFR_RNDN); mpfr_mul(r22567, r22543, r22543, MPFR_RNDN); mpfr_mul(r22568, r22566, r22567, MPFR_RNDN); mpfr_mul(r22569, r22543, r22534, MPFR_RNDN); mpfr_mul(r22570, r22569, r22569, MPFR_RNDN); mpfr_sub(r22571, r22568, r22570, MPFR_RNDN); mpfr_mul(r22572, r22565, r22571, MPFR_RNDN); mpfr_mul(r22573, r22550, r22537, MPFR_RNDN); mpfr_mul(r22574, r22536, r22573, MPFR_RNDN); mpfr_fma(r22575, r22535, r22572, r22574, MPFR_RNDN); mpfr_sqrt(r22576, r22575, MPFR_RNDN); mpfr_mul(r22577, r22535, r22537, MPFR_RNDN); mpfr_mul(r22578, r22577, r22534, MPFR_RNDN); mpfr_sqrt(r22579, r22578, MPFR_RNDN); mpfr_div(r22580, r22567, r22544, MPFR_RNDN); mpfr_mul(r22581, r22535, r22580, MPFR_RNDN); mpfr_sub(r22582, r22550, r22581, MPFR_RNDN); mpfr_pow(r22583, r22545, r22535, MPFR_RNDN); mpfr_mul(r22584, r22537, r22583, MPFR_RNDN); mpfr_sub(r22585, r22534, r22546, MPFR_RNDN); mpfr_mul(r22586, r22584, r22585, MPFR_RNDN); mpfr_sub(r22587, r22582, r22586, MPFR_RNDN); mpfr_sqrt(r22588, r22587, MPFR_RNDN); mpfr_mul(r22589, r22579, r22588, MPFR_RNDN); if (mpfr_get_si(r22563, MPFR_RNDN)) { mpfr_set(r22590, r22576, MPFR_RNDN); } else { mpfr_set(r22590, r22589, MPFR_RNDN); }; if (mpfr_get_si(r22540, MPFR_RNDN)) { mpfr_set(r22591, r22561, MPFR_RNDN); } else { mpfr_set(r22591, r22590, MPFR_RNDN); }; return mpfr_get_d(r22591, MPFR_RNDN); } static mpfr_t r22592, r22593, r22594, r22595, r22596, r22597, r22598, r22599, r22600, r22601, r22602, r22603, r22604, r22605, r22606, r22607, r22608, r22609, r22610, r22611, r22612, r22613, r22614, r22615, r22616, r22617, r22618, r22619, r22620, r22621, r22622, r22623, r22624, r22625, r22626, r22627, r22628, r22629, r22630, r22631, r22632, r22633, r22634, r22635, r22636, r22637, r22638, r22639, r22640, r22641, r22642, r22643, r22644, r22645, r22646, r22647, r22648, r22649; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r22592); mpfr_init_set_str(r22593, "2", 10, MPFR_RNDN); mpfr_init(r22594); mpfr_init(r22595); mpfr_init(r22596); mpfr_init_set_str(r22597, "-3.5100745589098e-318", 10, MPFR_RNDN); mpfr_init(r22598); mpfr_init(r22599); mpfr_init(r22600); mpfr_init(r22601); mpfr_init(r22602); mpfr_init(r22603); mpfr_init(r22604); mpfr_init(r22605); mpfr_init(r22606); mpfr_init(r22607); mpfr_init(r22608); mpfr_init(r22609); mpfr_init(r22610); mpfr_init(r22611); mpfr_init(r22612); mpfr_init(r22613); mpfr_init_set_str(r22614, "0", 10, MPFR_RNDN); mpfr_init(r22615); mpfr_init(r22616); mpfr_init(r22617); mpfr_init_set_str(r22618, "1/2", 10, MPFR_RNDN); mpfr_init(r22619); mpfr_init_set_str(r22620, "4.0127023623934e-319", 10, MPFR_RNDN); mpfr_init(r22621); mpfr_init(r22622); mpfr_init(r22623); mpfr_init(r22624); mpfr_init(r22625); mpfr_init(r22626); mpfr_init(r22627); mpfr_init(r22628); mpfr_init(r22629); mpfr_init(r22630); mpfr_init(r22631); mpfr_init(r22632); mpfr_init(r22633); mpfr_init(r22634); mpfr_init(r22635); mpfr_init(r22636); mpfr_init(r22637); mpfr_init(r22638); mpfr_init(r22639); mpfr_init(r22640); mpfr_init(r22641); mpfr_init(r22642); mpfr_init(r22643); mpfr_init(r22644); mpfr_init(r22645); mpfr_init(r22646); mpfr_init(r22647); mpfr_init(r22648); mpfr_init(r22649); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22592, U, MPFR_RNDN); ; mpfr_mul(r22594, r22592, r22593, MPFR_RNDN); mpfr_set_d(r22595, n, MPFR_RNDN); mpfr_mul(r22596, r22594, r22595, MPFR_RNDN); ; mpfr_set_si(r22598, mpfr_cmp(r22596, r22597) <= 0, MPFR_RNDN); mpfr_mul(r22599, r22592, r22595, MPFR_RNDN); mpfr_mul(r22600, r22599, r22593, MPFR_RNDN); mpfr_set_d(r22601, l, MPFR_RNDN); mpfr_set_d(r22602, Om, MPFR_RNDN); mpfr_div(r22603, r22601, r22602, MPFR_RNDN); mpfr_set_d(r22604, U_, MPFR_RNDN); mpfr_sub(r22605, r22604, r22592, MPFR_RNDN); mpfr_mul(r22606, r22603, r22595, MPFR_RNDN); mpfr_mul(r22607, r22605, r22606, MPFR_RNDN); mpfr_set_d(r22608, t, MPFR_RNDN); mpfr_mul(r22609, r22601, r22593, MPFR_RNDN); mpfr_mul(r22610, r22609, r22603, MPFR_RNDN); mpfr_sub(r22611, r22608, r22610, MPFR_RNDN); mpfr_fma(r22612, r22603, r22607, r22611, MPFR_RNDN); mpfr_mul(r22613, r22600, r22612, MPFR_RNDN); ; mpfr_mul(r22615, r22614, r22595, MPFR_RNDN); mpfr_mul(r22616, r22615, r22594, MPFR_RNDN); mpfr_add(r22617, r22613, r22616, MPFR_RNDN); ; mpfr_pow(r22619, r22617, r22618, MPFR_RNDN); ; mpfr_set_si(r22621, mpfr_cmp(r22596, r22620) <= 0, MPFR_RNDN); mpfr_div(r22622, r22595, r22602, MPFR_RNDN); mpfr_mul(r22623, r22622, r22622, MPFR_RNDN); mpfr_mul(r22624, r22604, r22592, MPFR_RNDN); mpfr_mul(r22625, r22601, r22601, MPFR_RNDN); mpfr_mul(r22626, r22624, r22625, MPFR_RNDN); mpfr_mul(r22627, r22601, r22592, MPFR_RNDN); mpfr_mul(r22628, r22627, r22627, MPFR_RNDN); mpfr_sub(r22629, r22626, r22628, MPFR_RNDN); mpfr_mul(r22630, r22623, r22629, MPFR_RNDN); mpfr_mul(r22631, r22608, r22595, MPFR_RNDN); mpfr_mul(r22632, r22594, r22631, MPFR_RNDN); mpfr_fma(r22633, r22593, r22630, r22632, MPFR_RNDN); mpfr_sqrt(r22634, r22633, MPFR_RNDN); mpfr_mul(r22635, r22593, r22595, MPFR_RNDN); mpfr_mul(r22636, r22635, r22592, MPFR_RNDN); mpfr_sqrt(r22637, r22636, MPFR_RNDN); mpfr_div(r22638, r22625, r22602, MPFR_RNDN); mpfr_mul(r22639, r22593, r22638, MPFR_RNDN); mpfr_sub(r22640, r22608, r22639, MPFR_RNDN); mpfr_pow(r22641, r22603, r22593, MPFR_RNDN); mpfr_mul(r22642, r22595, r22641, MPFR_RNDN); mpfr_sub(r22643, r22592, r22604, MPFR_RNDN); mpfr_mul(r22644, r22642, r22643, MPFR_RNDN); mpfr_sub(r22645, r22640, r22644, MPFR_RNDN); mpfr_sqrt(r22646, r22645, MPFR_RNDN); mpfr_mul(r22647, r22637, r22646, MPFR_RNDN); if (mpfr_get_si(r22621, MPFR_RNDN)) { mpfr_set(r22648, r22634, MPFR_RNDN); } else { mpfr_set(r22648, r22647, MPFR_RNDN); }; if (mpfr_get_si(r22598, MPFR_RNDN)) { mpfr_set(r22649, r22619, MPFR_RNDN); } else { mpfr_set(r22649, r22648, MPFR_RNDN); }; return mpfr_get_d(r22649, MPFR_RNDN); }