#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 r22327 = 2; float r22328 = n; float r22329 = r22327 * r22328; float r22330 = U; float r22331 = r22329 * r22330; float r22332 = t; float r22333 = l; float r22334 = r22333 * r22333; float r22335 = Om; float r22336 = r22334 / r22335; float r22337 = r22327 * r22336; float r22338 = r22332 - r22337; float r22339 = r22333 / r22335; float r22340 = pow(r22339, r22327); float r22341 = r22328 * r22340; float r22342 = U_; float r22343 = r22330 - r22342; float r22344 = r22341 * r22343; float r22345 = r22338 - r22344; float r22346 = r22331 * r22345; float r22347 = sqrt(r22346); return r22347; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22348 = 2; double r22349 = n; double r22350 = r22348 * r22349; double r22351 = U; double r22352 = r22350 * r22351; double r22353 = t; double r22354 = l; double r22355 = r22354 * r22354; double r22356 = Om; double r22357 = r22355 / r22356; double r22358 = r22348 * r22357; double r22359 = r22353 - r22358; double r22360 = r22354 / r22356; double r22361 = pow(r22360, r22348); double r22362 = r22349 * r22361; double r22363 = U_; double r22364 = r22351 - r22363; double r22365 = r22362 * r22364; double r22366 = r22359 - r22365; double r22367 = r22352 * r22366; double r22368 = sqrt(r22367); return r22368; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22369 = U; float r22370 = 2; float r22371 = r22369 * r22370; float r22372 = n; float r22373 = r22371 * r22372; float r22374 = -3.5100745589098e-318; bool r22375 = r22373 <= r22374; float r22376 = r22369 * r22372; float r22377 = r22376 * r22370; float r22378 = l; float r22379 = Om; float r22380 = r22378 / r22379; float r22381 = U_; float r22382 = r22381 - r22369; float r22383 = r22380 * r22372; float r22384 = r22382 * r22383; float r22385 = t; float r22386 = r22378 * r22370; float r22387 = r22386 * r22380; float r22388 = r22385 - r22387; float r22389 = fma(r22380, r22384, r22388); float r22390 = r22377 * r22389; float r22391 = 0; float r22392 = r22391 * r22372; float r22393 = r22392 * r22371; float r22394 = r22390 + r22393; float r22395 = 1/2; float r22396 = pow(r22394, r22395); float r22397 = 4.3201100072359e-319; bool r22398 = r22373 <= r22397; float r22399 = r22372 / r22379; float r22400 = r22399 * r22399; float r22401 = r22381 * r22369; float r22402 = r22378 * r22378; float r22403 = r22401 * r22402; float r22404 = r22378 * r22369; float r22405 = r22404 * r22404; float r22406 = r22403 - r22405; float r22407 = r22400 * r22406; float r22408 = r22385 * r22372; float r22409 = r22371 * r22408; float r22410 = fma(r22370, r22407, r22409); float r22411 = sqrt(r22410); float r22412 = r22370 * r22372; float r22413 = r22412 * r22369; float r22414 = sqrt(r22413); float r22415 = r22402 / r22379; float r22416 = r22370 * r22415; float r22417 = r22385 - r22416; float r22418 = pow(r22380, r22370); float r22419 = r22372 * r22418; float r22420 = r22369 - r22381; float r22421 = r22419 * r22420; float r22422 = r22417 - r22421; float r22423 = sqrt(r22422); float r22424 = r22414 * r22423; float r22425 = r22398 ? r22411 : r22424; float r22426 = r22375 ? r22396 : r22425; return r22426; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22427 = U; double r22428 = 2; double r22429 = r22427 * r22428; double r22430 = n; double r22431 = r22429 * r22430; double r22432 = -3.5100745589098e-318; bool r22433 = r22431 <= r22432; double r22434 = r22427 * r22430; double r22435 = r22434 * r22428; double r22436 = l; double r22437 = Om; double r22438 = r22436 / r22437; double r22439 = U_; double r22440 = r22439 - r22427; double r22441 = r22438 * r22430; double r22442 = r22440 * r22441; double r22443 = t; double r22444 = r22436 * r22428; double r22445 = r22444 * r22438; double r22446 = r22443 - r22445; double r22447 = fma(r22438, r22442, r22446); double r22448 = r22435 * r22447; double r22449 = 0; double r22450 = r22449 * r22430; double r22451 = r22450 * r22429; double r22452 = r22448 + r22451; double r22453 = 1/2; double r22454 = pow(r22452, r22453); double r22455 = 4.3201100072359e-319; bool r22456 = r22431 <= r22455; double r22457 = r22430 / r22437; double r22458 = r22457 * r22457; double r22459 = r22439 * r22427; double r22460 = r22436 * r22436; double r22461 = r22459 * r22460; double r22462 = r22436 * r22427; double r22463 = r22462 * r22462; double r22464 = r22461 - r22463; double r22465 = r22458 * r22464; double r22466 = r22443 * r22430; double r22467 = r22429 * r22466; double r22468 = fma(r22428, r22465, r22467); double r22469 = sqrt(r22468); double r22470 = r22428 * r22430; double r22471 = r22470 * r22427; double r22472 = sqrt(r22471); double r22473 = r22460 / r22437; double r22474 = r22428 * r22473; double r22475 = r22443 - r22474; double r22476 = pow(r22438, r22428); double r22477 = r22430 * r22476; double r22478 = r22427 - r22439; double r22479 = r22477 * r22478; double r22480 = r22475 - r22479; double r22481 = sqrt(r22480); double r22482 = r22472 * r22481; double r22483 = r22456 ? r22469 : r22482; double r22484 = r22433 ? r22454 : r22483; return r22484; } 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 r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497, r22498, r22499, r22500, r22501, r22502, r22503, r22504, r22505; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22485, "2", 10, MPFR_RNDN); mpfr_init(r22486); mpfr_init(r22487); mpfr_init(r22488); mpfr_init(r22489); mpfr_init(r22490); mpfr_init(r22491); mpfr_init(r22492); mpfr_init(r22493); 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(r22504); mpfr_init(r22505); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22486, n, MPFR_RNDN); mpfr_mul(r22487, r22485, r22486, MPFR_RNDN); mpfr_set_d(r22488, U, MPFR_RNDN); mpfr_mul(r22489, r22487, r22488, MPFR_RNDN); mpfr_set_d(r22490, t, MPFR_RNDN); mpfr_set_d(r22491, l, MPFR_RNDN); mpfr_mul(r22492, r22491, r22491, MPFR_RNDN); mpfr_set_d(r22493, Om, MPFR_RNDN); mpfr_div(r22494, r22492, r22493, MPFR_RNDN); mpfr_mul(r22495, r22485, r22494, MPFR_RNDN); mpfr_sub(r22496, r22490, r22495, MPFR_RNDN); mpfr_div(r22497, r22491, r22493, MPFR_RNDN); mpfr_pow(r22498, r22497, r22485, MPFR_RNDN); mpfr_mul(r22499, r22486, r22498, MPFR_RNDN); mpfr_set_d(r22500, U_, MPFR_RNDN); mpfr_sub(r22501, r22488, r22500, MPFR_RNDN); mpfr_mul(r22502, r22499, r22501, MPFR_RNDN); mpfr_sub(r22503, r22496, r22502, MPFR_RNDN); mpfr_mul(r22504, r22489, r22503, MPFR_RNDN); mpfr_sqrt(r22505, r22504, MPFR_RNDN); return mpfr_get_d(r22505, MPFR_RNDN); } static mpfr_t r22506, r22507, r22508, r22509, r22510, r22511, r22512, r22513, r22514, 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, r22543, r22544, r22545, r22546, r22547, r22548, r22549, r22550, r22551, r22552, r22553, r22554, r22555, r22556, r22557, r22558, r22559, r22560, r22561, r22562, r22563; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init(r22506); mpfr_init_set_str(r22507, "2", 10, MPFR_RNDN); mpfr_init(r22508); mpfr_init(r22509); mpfr_init(r22510); mpfr_init_set_str(r22511, "-3.5100745589098e-318", 10, MPFR_RNDN); mpfr_init(r22512); mpfr_init(r22513); 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_set_str(r22528, "0", 10, MPFR_RNDN); mpfr_init(r22529); mpfr_init(r22530); mpfr_init(r22531); mpfr_init_set_str(r22532, "1/2", 10, MPFR_RNDN); mpfr_init(r22533); mpfr_init_set_str(r22534, "4.3201100072359e-319", 10, MPFR_RNDN); mpfr_init(r22535); mpfr_init(r22536); mpfr_init(r22537); mpfr_init(r22538); mpfr_init(r22539); 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(r22556); mpfr_init(r22557); mpfr_init(r22558); mpfr_init(r22559); mpfr_init(r22560); mpfr_init(r22561); mpfr_init(r22562); mpfr_init(r22563); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22506, U, MPFR_RNDN); ; mpfr_mul(r22508, r22506, r22507, MPFR_RNDN); mpfr_set_d(r22509, n, MPFR_RNDN); mpfr_mul(r22510, r22508, r22509, MPFR_RNDN); ; mpfr_set_si(r22512, mpfr_cmp(r22510, r22511) <= 0, MPFR_RNDN); mpfr_mul(r22513, r22506, r22509, MPFR_RNDN); mpfr_mul(r22514, r22513, r22507, MPFR_RNDN); mpfr_set_d(r22515, l, MPFR_RNDN); mpfr_set_d(r22516, Om, MPFR_RNDN); mpfr_div(r22517, r22515, r22516, MPFR_RNDN); mpfr_set_d(r22518, U_, MPFR_RNDN); mpfr_sub(r22519, r22518, r22506, MPFR_RNDN); mpfr_mul(r22520, r22517, r22509, MPFR_RNDN); mpfr_mul(r22521, r22519, r22520, MPFR_RNDN); mpfr_set_d(r22522, t, MPFR_RNDN); mpfr_mul(r22523, r22515, r22507, MPFR_RNDN); mpfr_mul(r22524, r22523, r22517, MPFR_RNDN); mpfr_sub(r22525, r22522, r22524, MPFR_RNDN); mpfr_fma(r22526, r22517, r22521, r22525, MPFR_RNDN); mpfr_mul(r22527, r22514, r22526, MPFR_RNDN); ; mpfr_mul(r22529, r22528, r22509, MPFR_RNDN); mpfr_mul(r22530, r22529, r22508, MPFR_RNDN); mpfr_add(r22531, r22527, r22530, MPFR_RNDN); ; mpfr_pow(r22533, r22531, r22532, MPFR_RNDN); ; mpfr_set_si(r22535, mpfr_cmp(r22510, r22534) <= 0, MPFR_RNDN); mpfr_div(r22536, r22509, r22516, MPFR_RNDN); mpfr_mul(r22537, r22536, r22536, MPFR_RNDN); mpfr_mul(r22538, r22518, r22506, MPFR_RNDN); mpfr_mul(r22539, r22515, r22515, MPFR_RNDN); mpfr_mul(r22540, r22538, r22539, MPFR_RNDN); mpfr_mul(r22541, r22515, r22506, MPFR_RNDN); mpfr_mul(r22542, r22541, r22541, MPFR_RNDN); mpfr_sub(r22543, r22540, r22542, MPFR_RNDN); mpfr_mul(r22544, r22537, r22543, MPFR_RNDN); mpfr_mul(r22545, r22522, r22509, MPFR_RNDN); mpfr_mul(r22546, r22508, r22545, MPFR_RNDN); mpfr_fma(r22547, r22507, r22544, r22546, MPFR_RNDN); mpfr_sqrt(r22548, r22547, MPFR_RNDN); mpfr_mul(r22549, r22507, r22509, MPFR_RNDN); mpfr_mul(r22550, r22549, r22506, MPFR_RNDN); mpfr_sqrt(r22551, r22550, MPFR_RNDN); mpfr_div(r22552, r22539, r22516, MPFR_RNDN); mpfr_mul(r22553, r22507, r22552, MPFR_RNDN); mpfr_sub(r22554, r22522, r22553, MPFR_RNDN); mpfr_pow(r22555, r22517, r22507, MPFR_RNDN); mpfr_mul(r22556, r22509, r22555, MPFR_RNDN); mpfr_sub(r22557, r22506, r22518, MPFR_RNDN); mpfr_mul(r22558, r22556, r22557, MPFR_RNDN); mpfr_sub(r22559, r22554, r22558, MPFR_RNDN); mpfr_sqrt(r22560, r22559, MPFR_RNDN); mpfr_mul(r22561, r22551, r22560, MPFR_RNDN); if (mpfr_get_si(r22535, MPFR_RNDN)) { mpfr_set(r22562, r22548, MPFR_RNDN); } else { mpfr_set(r22562, r22561, MPFR_RNDN); }; if (mpfr_get_si(r22512, MPFR_RNDN)) { mpfr_set(r22563, r22533, MPFR_RNDN); } else { mpfr_set(r22563, r22562, MPFR_RNDN); }; return mpfr_get_d(r22563, MPFR_RNDN); } static mpfr_t 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, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init(r22564); mpfr_init_set_str(r22565, "2", 10, MPFR_RNDN); mpfr_init(r22566); mpfr_init(r22567); mpfr_init(r22568); mpfr_init_set_str(r22569, "-3.5100745589098e-318", 10, MPFR_RNDN); 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_set_str(r22586, "0", 10, MPFR_RNDN); mpfr_init(r22587); mpfr_init(r22588); mpfr_init(r22589); mpfr_init_set_str(r22590, "1/2", 10, MPFR_RNDN); mpfr_init(r22591); mpfr_init_set_str(r22592, "4.3201100072359e-319", 10, MPFR_RNDN); mpfr_init(r22593); mpfr_init(r22594); mpfr_init(r22595); mpfr_init(r22596); mpfr_init(r22597); 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(r22614); mpfr_init(r22615); mpfr_init(r22616); mpfr_init(r22617); mpfr_init(r22618); mpfr_init(r22619); mpfr_init(r22620); mpfr_init(r22621); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22564, U, MPFR_RNDN); ; mpfr_mul(r22566, r22564, r22565, MPFR_RNDN); mpfr_set_d(r22567, n, MPFR_RNDN); mpfr_mul(r22568, r22566, r22567, MPFR_RNDN); ; mpfr_set_si(r22570, mpfr_cmp(r22568, r22569) <= 0, MPFR_RNDN); mpfr_mul(r22571, r22564, r22567, MPFR_RNDN); mpfr_mul(r22572, r22571, r22565, MPFR_RNDN); mpfr_set_d(r22573, l, MPFR_RNDN); mpfr_set_d(r22574, Om, MPFR_RNDN); mpfr_div(r22575, r22573, r22574, MPFR_RNDN); mpfr_set_d(r22576, U_, MPFR_RNDN); mpfr_sub(r22577, r22576, r22564, MPFR_RNDN); mpfr_mul(r22578, r22575, r22567, MPFR_RNDN); mpfr_mul(r22579, r22577, r22578, MPFR_RNDN); mpfr_set_d(r22580, t, MPFR_RNDN); mpfr_mul(r22581, r22573, r22565, MPFR_RNDN); mpfr_mul(r22582, r22581, r22575, MPFR_RNDN); mpfr_sub(r22583, r22580, r22582, MPFR_RNDN); mpfr_fma(r22584, r22575, r22579, r22583, MPFR_RNDN); mpfr_mul(r22585, r22572, r22584, MPFR_RNDN); ; mpfr_mul(r22587, r22586, r22567, MPFR_RNDN); mpfr_mul(r22588, r22587, r22566, MPFR_RNDN); mpfr_add(r22589, r22585, r22588, MPFR_RNDN); ; mpfr_pow(r22591, r22589, r22590, MPFR_RNDN); ; mpfr_set_si(r22593, mpfr_cmp(r22568, r22592) <= 0, MPFR_RNDN); mpfr_div(r22594, r22567, r22574, MPFR_RNDN); mpfr_mul(r22595, r22594, r22594, MPFR_RNDN); mpfr_mul(r22596, r22576, r22564, MPFR_RNDN); mpfr_mul(r22597, r22573, r22573, MPFR_RNDN); mpfr_mul(r22598, r22596, r22597, MPFR_RNDN); mpfr_mul(r22599, r22573, r22564, MPFR_RNDN); mpfr_mul(r22600, r22599, r22599, MPFR_RNDN); mpfr_sub(r22601, r22598, r22600, MPFR_RNDN); mpfr_mul(r22602, r22595, r22601, MPFR_RNDN); mpfr_mul(r22603, r22580, r22567, MPFR_RNDN); mpfr_mul(r22604, r22566, r22603, MPFR_RNDN); mpfr_fma(r22605, r22565, r22602, r22604, MPFR_RNDN); mpfr_sqrt(r22606, r22605, MPFR_RNDN); mpfr_mul(r22607, r22565, r22567, MPFR_RNDN); mpfr_mul(r22608, r22607, r22564, MPFR_RNDN); mpfr_sqrt(r22609, r22608, MPFR_RNDN); mpfr_div(r22610, r22597, r22574, MPFR_RNDN); mpfr_mul(r22611, r22565, r22610, MPFR_RNDN); mpfr_sub(r22612, r22580, r22611, MPFR_RNDN); mpfr_pow(r22613, r22575, r22565, MPFR_RNDN); mpfr_mul(r22614, r22567, r22613, MPFR_RNDN); mpfr_sub(r22615, r22564, r22576, MPFR_RNDN); mpfr_mul(r22616, r22614, r22615, MPFR_RNDN); mpfr_sub(r22617, r22612, r22616, MPFR_RNDN); mpfr_sqrt(r22618, r22617, MPFR_RNDN); mpfr_mul(r22619, r22609, r22618, MPFR_RNDN); if (mpfr_get_si(r22593, MPFR_RNDN)) { mpfr_set(r22620, r22606, MPFR_RNDN); } else { mpfr_set(r22620, r22619, MPFR_RNDN); }; if (mpfr_get_si(r22570, MPFR_RNDN)) { mpfr_set(r22621, r22591, MPFR_RNDN); } else { mpfr_set(r22621, r22620, MPFR_RNDN); }; return mpfr_get_d(r22621, MPFR_RNDN); }