#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 r22322 = 2; float r22323 = n; float r22324 = r22322 * r22323; float r22325 = U; float r22326 = r22324 * r22325; float r22327 = t; float r22328 = l; float r22329 = r22328 * r22328; float r22330 = Om; float r22331 = r22329 / r22330; float r22332 = r22322 * r22331; float r22333 = r22327 - r22332; float r22334 = r22328 / r22330; float r22335 = pow(r22334, r22322); float r22336 = r22323 * r22335; float r22337 = U_; float r22338 = r22325 - r22337; float r22339 = r22336 * r22338; float r22340 = r22333 - r22339; float r22341 = r22326 * r22340; float r22342 = sqrt(r22341); return r22342; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22343 = 2; double r22344 = n; double r22345 = r22343 * r22344; double r22346 = U; double r22347 = r22345 * r22346; double r22348 = t; double r22349 = l; double r22350 = r22349 * r22349; double r22351 = Om; double r22352 = r22350 / r22351; double r22353 = r22343 * r22352; double r22354 = r22348 - r22353; double r22355 = r22349 / r22351; double r22356 = pow(r22355, r22343); double r22357 = r22344 * r22356; double r22358 = U_; double r22359 = r22346 - r22358; double r22360 = r22357 * r22359; double r22361 = r22354 - r22360; double r22362 = r22347 * r22361; double r22363 = sqrt(r22362); return r22363; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22364 = 2; float r22365 = n; float r22366 = r22364 * r22365; float r22367 = U; float r22368 = t; float r22369 = l; float r22370 = r22369 * r22369; float r22371 = Om; float r22372 = r22370 / r22371; float r22373 = r22364 * r22372; float r22374 = r22368 - r22373; float r22375 = r22369 / r22371; float r22376 = pow(r22375, r22364); float r22377 = r22365 * r22376; float r22378 = U_; float r22379 = r22367 - r22378; float r22380 = r22377 * r22379; float r22381 = r22374 - r22380; float r22382 = r22367 * r22381; float r22383 = r22366 * r22382; float r22384 = sqrt(r22383); float r22385 = 0.0; bool r22386 = r22384 <= r22385; float r22387 = r22366 * r22367; float r22388 = sqrt(r22387); float r22389 = sqrt(r22381); float r22390 = r22388 * r22389; float r22391 = 1.3596256946491216e+131; bool r22392 = r22384 <= r22391; float r22393 = r22367 * r22365; float r22394 = r22393 * r22364; float r22395 = r22378 - r22367; float r22396 = r22375 * r22365; float r22397 = r22395 * r22396; float r22398 = r22369 * r22364; float r22399 = r22398 * r22375; float r22400 = r22368 - r22399; float r22401 = fma(r22375, r22397, r22400); float r22402 = r22394 * r22401; float r22403 = 0; float r22404 = r22403 * r22365; float r22405 = r22367 * r22364; float r22406 = r22404 * r22405; float r22407 = r22402 + r22406; float r22408 = 1/2; float r22409 = pow(r22407, r22408); float r22410 = r22392 ? r22384 : r22409; float r22411 = r22386 ? r22390 : r22410; return r22411; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22412 = 2; double r22413 = n; double r22414 = r22412 * r22413; double r22415 = U; double r22416 = t; double r22417 = l; double r22418 = r22417 * r22417; double r22419 = Om; double r22420 = r22418 / r22419; double r22421 = r22412 * r22420; double r22422 = r22416 - r22421; double r22423 = r22417 / r22419; double r22424 = pow(r22423, r22412); double r22425 = r22413 * r22424; double r22426 = U_; double r22427 = r22415 - r22426; double r22428 = r22425 * r22427; double r22429 = r22422 - r22428; double r22430 = r22415 * r22429; double r22431 = r22414 * r22430; double r22432 = sqrt(r22431); double r22433 = 0.0; bool r22434 = r22432 <= r22433; double r22435 = r22414 * r22415; double r22436 = sqrt(r22435); double r22437 = sqrt(r22429); double r22438 = r22436 * r22437; double r22439 = 1.3596256946491216e+131; bool r22440 = r22432 <= r22439; double r22441 = r22415 * r22413; double r22442 = r22441 * r22412; double r22443 = r22426 - r22415; double r22444 = r22423 * r22413; double r22445 = r22443 * r22444; double r22446 = r22417 * r22412; double r22447 = r22446 * r22423; double r22448 = r22416 - r22447; double r22449 = fma(r22423, r22445, r22448); double r22450 = r22442 * r22449; double r22451 = 0; double r22452 = r22451 * r22413; double r22453 = r22415 * r22412; double r22454 = r22452 * r22453; double r22455 = r22450 + r22454; double r22456 = 1/2; double r22457 = pow(r22455, r22456); double r22458 = r22440 ? r22432 : r22457; double r22459 = r22434 ? r22438 : r22458; return r22459; } 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 r22460, r22461, r22462, r22463, r22464, r22465, r22466, r22467, r22468, r22469, r22470, r22471, r22472, r22473, r22474, r22475, r22476, r22477, r22478, r22479, r22480; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22460, "2", 10, MPFR_RNDN); mpfr_init(r22461); mpfr_init(r22462); mpfr_init(r22463); mpfr_init(r22464); mpfr_init(r22465); mpfr_init(r22466); mpfr_init(r22467); mpfr_init(r22468); mpfr_init(r22469); mpfr_init(r22470); mpfr_init(r22471); mpfr_init(r22472); mpfr_init(r22473); mpfr_init(r22474); mpfr_init(r22475); mpfr_init(r22476); mpfr_init(r22477); mpfr_init(r22478); mpfr_init(r22479); mpfr_init(r22480); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22461, n, MPFR_RNDN); mpfr_mul(r22462, r22460, r22461, MPFR_RNDN); mpfr_set_d(r22463, U, MPFR_RNDN); mpfr_mul(r22464, r22462, r22463, MPFR_RNDN); mpfr_set_d(r22465, t, MPFR_RNDN); mpfr_set_d(r22466, l, MPFR_RNDN); mpfr_mul(r22467, r22466, r22466, MPFR_RNDN); mpfr_set_d(r22468, Om, MPFR_RNDN); mpfr_div(r22469, r22467, r22468, MPFR_RNDN); mpfr_mul(r22470, r22460, r22469, MPFR_RNDN); mpfr_sub(r22471, r22465, r22470, MPFR_RNDN); mpfr_div(r22472, r22466, r22468, MPFR_RNDN); mpfr_pow(r22473, r22472, r22460, MPFR_RNDN); mpfr_mul(r22474, r22461, r22473, MPFR_RNDN); mpfr_set_d(r22475, U_, MPFR_RNDN); mpfr_sub(r22476, r22463, r22475, MPFR_RNDN); mpfr_mul(r22477, r22474, r22476, MPFR_RNDN); mpfr_sub(r22478, r22471, r22477, MPFR_RNDN); mpfr_mul(r22479, r22464, r22478, MPFR_RNDN); mpfr_sqrt(r22480, r22479, MPFR_RNDN); return mpfr_get_d(r22480, MPFR_RNDN); } static mpfr_t r22481, r22482, r22483, r22484, r22485, r22486, 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, r22515, r22516, r22517, r22518, r22519, r22520, r22521, r22522, r22523, r22524, r22525, r22526, r22527, r22528; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22481, "2", 10, MPFR_RNDN); mpfr_init(r22482); mpfr_init(r22483); mpfr_init(r22484); mpfr_init(r22485); 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_set_str(r22502, "0.0", 10, MPFR_RNDN); mpfr_init(r22503); mpfr_init(r22504); mpfr_init(r22505); mpfr_init(r22506); mpfr_init(r22507); mpfr_init_set_str(r22508, "1.3596256946491216e+131", 10, MPFR_RNDN); mpfr_init(r22509); mpfr_init(r22510); mpfr_init(r22511); 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_set_str(r22520, "0", 10, MPFR_RNDN); mpfr_init(r22521); mpfr_init(r22522); mpfr_init(r22523); mpfr_init(r22524); mpfr_init_set_str(r22525, "1/2", 10, MPFR_RNDN); mpfr_init(r22526); mpfr_init(r22527); mpfr_init(r22528); } double f_fm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22482, n, MPFR_RNDN); mpfr_mul(r22483, r22481, r22482, MPFR_RNDN); mpfr_set_d(r22484, U, MPFR_RNDN); mpfr_set_d(r22485, t, MPFR_RNDN); mpfr_set_d(r22486, l, MPFR_RNDN); mpfr_mul(r22487, r22486, r22486, MPFR_RNDN); mpfr_set_d(r22488, Om, MPFR_RNDN); mpfr_div(r22489, r22487, r22488, MPFR_RNDN); mpfr_mul(r22490, r22481, r22489, MPFR_RNDN); mpfr_sub(r22491, r22485, r22490, MPFR_RNDN); mpfr_div(r22492, r22486, r22488, MPFR_RNDN); mpfr_pow(r22493, r22492, r22481, MPFR_RNDN); mpfr_mul(r22494, r22482, r22493, MPFR_RNDN); mpfr_set_d(r22495, U_, MPFR_RNDN); mpfr_sub(r22496, r22484, r22495, MPFR_RNDN); mpfr_mul(r22497, r22494, r22496, MPFR_RNDN); mpfr_sub(r22498, r22491, r22497, MPFR_RNDN); mpfr_mul(r22499, r22484, r22498, MPFR_RNDN); mpfr_mul(r22500, r22483, r22499, MPFR_RNDN); mpfr_sqrt(r22501, r22500, MPFR_RNDN); ; mpfr_set_si(r22503, mpfr_cmp(r22501, r22502) <= 0, MPFR_RNDN); mpfr_mul(r22504, r22483, r22484, MPFR_RNDN); mpfr_sqrt(r22505, r22504, MPFR_RNDN); mpfr_sqrt(r22506, r22498, MPFR_RNDN); mpfr_mul(r22507, r22505, r22506, MPFR_RNDN); ; mpfr_set_si(r22509, mpfr_cmp(r22501, r22508) <= 0, MPFR_RNDN); mpfr_mul(r22510, r22484, r22482, MPFR_RNDN); mpfr_mul(r22511, r22510, r22481, MPFR_RNDN); mpfr_sub(r22512, r22495, r22484, MPFR_RNDN); mpfr_mul(r22513, r22492, r22482, MPFR_RNDN); mpfr_mul(r22514, r22512, r22513, MPFR_RNDN); mpfr_mul(r22515, r22486, r22481, MPFR_RNDN); mpfr_mul(r22516, r22515, r22492, MPFR_RNDN); mpfr_sub(r22517, r22485, r22516, MPFR_RNDN); mpfr_fma(r22518, r22492, r22514, r22517, MPFR_RNDN); mpfr_mul(r22519, r22511, r22518, MPFR_RNDN); ; mpfr_mul(r22521, r22520, r22482, MPFR_RNDN); mpfr_mul(r22522, r22484, r22481, MPFR_RNDN); mpfr_mul(r22523, r22521, r22522, MPFR_RNDN); mpfr_add(r22524, r22519, r22523, MPFR_RNDN); ; mpfr_pow(r22526, r22524, r22525, MPFR_RNDN); if (mpfr_get_si(r22509, MPFR_RNDN)) { mpfr_set(r22527, r22501, MPFR_RNDN); } else { mpfr_set(r22527, r22526, MPFR_RNDN); }; if (mpfr_get_si(r22503, MPFR_RNDN)) { mpfr_set(r22528, r22507, MPFR_RNDN); } else { mpfr_set(r22528, 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, 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22529, "2", 10, MPFR_RNDN); 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(r22542); mpfr_init(r22543); mpfr_init(r22544); mpfr_init(r22545); mpfr_init(r22546); mpfr_init(r22547); mpfr_init(r22548); mpfr_init(r22549); mpfr_init_set_str(r22550, "0.0", 10, MPFR_RNDN); mpfr_init(r22551); mpfr_init(r22552); mpfr_init(r22553); mpfr_init(r22554); mpfr_init(r22555); mpfr_init_set_str(r22556, "1.3596256946491216e+131", 10, MPFR_RNDN); 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(r22565); mpfr_init(r22566); mpfr_init(r22567); mpfr_init_set_str(r22568, "0", 10, MPFR_RNDN); mpfr_init(r22569); mpfr_init(r22570); mpfr_init(r22571); mpfr_init(r22572); mpfr_init_set_str(r22573, "1/2", 10, MPFR_RNDN); mpfr_init(r22574); mpfr_init(r22575); mpfr_init(r22576); } double f_dm(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22530, n, MPFR_RNDN); mpfr_mul(r22531, r22529, r22530, MPFR_RNDN); mpfr_set_d(r22532, U, MPFR_RNDN); mpfr_set_d(r22533, t, MPFR_RNDN); mpfr_set_d(r22534, l, MPFR_RNDN); mpfr_mul(r22535, r22534, r22534, MPFR_RNDN); mpfr_set_d(r22536, Om, MPFR_RNDN); mpfr_div(r22537, r22535, r22536, MPFR_RNDN); mpfr_mul(r22538, r22529, r22537, MPFR_RNDN); mpfr_sub(r22539, r22533, r22538, MPFR_RNDN); mpfr_div(r22540, r22534, r22536, MPFR_RNDN); mpfr_pow(r22541, r22540, r22529, MPFR_RNDN); mpfr_mul(r22542, r22530, r22541, MPFR_RNDN); mpfr_set_d(r22543, U_, MPFR_RNDN); mpfr_sub(r22544, r22532, r22543, MPFR_RNDN); mpfr_mul(r22545, r22542, r22544, MPFR_RNDN); mpfr_sub(r22546, r22539, r22545, MPFR_RNDN); mpfr_mul(r22547, r22532, r22546, MPFR_RNDN); mpfr_mul(r22548, r22531, r22547, MPFR_RNDN); mpfr_sqrt(r22549, r22548, MPFR_RNDN); ; mpfr_set_si(r22551, mpfr_cmp(r22549, r22550) <= 0, MPFR_RNDN); mpfr_mul(r22552, r22531, r22532, MPFR_RNDN); mpfr_sqrt(r22553, r22552, MPFR_RNDN); mpfr_sqrt(r22554, r22546, MPFR_RNDN); mpfr_mul(r22555, r22553, r22554, MPFR_RNDN); ; mpfr_set_si(r22557, mpfr_cmp(r22549, r22556) <= 0, MPFR_RNDN); mpfr_mul(r22558, r22532, r22530, MPFR_RNDN); mpfr_mul(r22559, r22558, r22529, MPFR_RNDN); mpfr_sub(r22560, r22543, r22532, MPFR_RNDN); mpfr_mul(r22561, r22540, r22530, MPFR_RNDN); mpfr_mul(r22562, r22560, r22561, MPFR_RNDN); mpfr_mul(r22563, r22534, r22529, MPFR_RNDN); mpfr_mul(r22564, r22563, r22540, MPFR_RNDN); mpfr_sub(r22565, r22533, r22564, MPFR_RNDN); mpfr_fma(r22566, r22540, r22562, r22565, MPFR_RNDN); mpfr_mul(r22567, r22559, r22566, MPFR_RNDN); ; mpfr_mul(r22569, r22568, r22530, MPFR_RNDN); mpfr_mul(r22570, r22532, r22529, MPFR_RNDN); mpfr_mul(r22571, r22569, r22570, MPFR_RNDN); mpfr_add(r22572, r22567, r22571, MPFR_RNDN); ; mpfr_pow(r22574, r22572, r22573, MPFR_RNDN); if (mpfr_get_si(r22557, MPFR_RNDN)) { mpfr_set(r22575, r22549, MPFR_RNDN); } else { mpfr_set(r22575, r22574, MPFR_RNDN); }; if (mpfr_get_si(r22551, MPFR_RNDN)) { mpfr_set(r22576, r22555, MPFR_RNDN); } else { mpfr_set(r22576, r22575, MPFR_RNDN); }; return mpfr_get_d(r22576, MPFR_RNDN); }