#include #include #include #include #include char *name = "Toniolo and Linder, Equation (2)"; double f_if(float t, float l, float Om, float Omc) { float r22366 = 1; float r22367 = Om; float r22368 = Omc; float r22369 = r22367 / r22368; float r22370 = 2; float r22371 = pow(r22369, r22370); float r22372 = r22366 - r22371; float r22373 = t; float r22374 = l; float r22375 = r22373 / r22374; float r22376 = pow(r22375, r22370); float r22377 = r22370 * r22376; float r22378 = r22366 + r22377; float r22379 = r22372 / r22378; float r22380 = sqrt(r22379); float r22381 = asin(r22380); return r22381; } double f_id(double t, double l, double Om, double Omc) { double r22382 = 1; double r22383 = Om; double r22384 = Omc; double r22385 = r22383 / r22384; double r22386 = 2; double r22387 = pow(r22385, r22386); double r22388 = r22382 - r22387; double r22389 = t; double r22390 = l; double r22391 = r22389 / r22390; double r22392 = pow(r22391, r22386); double r22393 = r22386 * r22392; double r22394 = r22382 + r22393; double r22395 = r22388 / r22394; double r22396 = sqrt(r22395); double r22397 = asin(r22396); return r22397; } double f_of(float t, float l, float Om, float Omc) { float r22398 = 1; float r22399 = Om; float r22400 = Omc; float r22401 = r22399 / r22400; float r22402 = r22401 * r22401; float r22403 = r22398 - r22402; float r22404 = sqrt(r22403); float r22405 = t; float r22406 = 2; float r22407 = sqrt(r22406); float r22408 = r22405 * r22407; float r22409 = l; float r22410 = r22408 / r22409; float r22411 = r22404 / r22410; float r22412 = asin(r22411); float r22413 = 0.0; bool r22414 = r22412 <= r22413; float r22415 = r22409 / r22405; float r22416 = r22415 * r22415; float r22417 = r22406 / r22416; float r22418 = r22417 + r22398; float r22419 = sqrt(r22418); float r22420 = r22404 / r22419; float r22421 = asin(r22420); float r22422 = 3.405148864100225e-83; bool r22423 = r22412 <= r22422; float r22424 = r22405 / r22409; float r22425 = r22406 * r22406; float r22426 = r22424 * r22425; float r22427 = 3; float r22428 = pow(r22424, r22427); float r22429 = r22426 * r22428; float r22430 = r22398 - r22429; float r22431 = r22403 / r22430; float r22432 = pow(r22424, r22406); float r22433 = r22406 * r22432; float r22434 = r22398 - r22433; float r22435 = r22431 * r22434; float r22436 = sqrt(r22435); float r22437 = asin(r22436); float r22438 = r22423 ? r22412 : r22437; float r22439 = r22414 ? r22421 : r22438; return r22439; } double f_od(double t, double l, double Om, double Omc) { double r22440 = 1; double r22441 = Om; double r22442 = Omc; double r22443 = r22441 / r22442; double r22444 = r22443 * r22443; double r22445 = r22440 - r22444; double r22446 = sqrt(r22445); double r22447 = t; double r22448 = 2; double r22449 = sqrt(r22448); double r22450 = r22447 * r22449; double r22451 = l; double r22452 = r22450 / r22451; double r22453 = r22446 / r22452; double r22454 = asin(r22453); double r22455 = 0.0; bool r22456 = r22454 <= r22455; double r22457 = r22451 / r22447; double r22458 = r22457 * r22457; double r22459 = r22448 / r22458; double r22460 = r22459 + r22440; double r22461 = sqrt(r22460); double r22462 = r22446 / r22461; double r22463 = asin(r22462); double r22464 = 3.405148864100225e-83; bool r22465 = r22454 <= r22464; double r22466 = r22447 / r22451; double r22467 = r22448 * r22448; double r22468 = r22466 * r22467; double r22469 = 3; double r22470 = pow(r22466, r22469); double r22471 = r22468 * r22470; double r22472 = r22440 - r22471; double r22473 = r22445 / r22472; double r22474 = pow(r22466, r22448); double r22475 = r22448 * r22474; double r22476 = r22440 - r22475; double r22477 = r22473 * r22476; double r22478 = sqrt(r22477); double r22479 = asin(r22478); double r22480 = r22465 ? r22454 : r22479; double r22481 = r22456 ? r22463 : r22480; return r22481; } 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 r22482, r22483, r22484, r22485, r22486, r22487, r22488, r22489, r22490, r22491, r22492, r22493, r22494, r22495, r22496, r22497; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r22482, "1", 10, MPFR_RNDN); mpfr_init(r22483); mpfr_init(r22484); mpfr_init(r22485); mpfr_init_set_str(r22486, "2", 10, MPFR_RNDN); 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); } double f_im(double t, double l, double Om, double Omc) { ; mpfr_set_d(r22483, Om, MPFR_RNDN); mpfr_set_d(r22484, Omc, MPFR_RNDN); mpfr_div(r22485, r22483, r22484, MPFR_RNDN); ; mpfr_pow(r22487, r22485, r22486, MPFR_RNDN); mpfr_sub(r22488, r22482, r22487, MPFR_RNDN); mpfr_set_d(r22489, t, MPFR_RNDN); mpfr_set_d(r22490, l, MPFR_RNDN); mpfr_div(r22491, r22489, r22490, MPFR_RNDN); mpfr_pow(r22492, r22491, r22486, MPFR_RNDN); mpfr_mul(r22493, r22486, r22492, MPFR_RNDN); mpfr_add(r22494, r22482, r22493, MPFR_RNDN); mpfr_div(r22495, r22488, r22494, MPFR_RNDN); mpfr_sqrt(r22496, r22495, MPFR_RNDN); mpfr_asin(r22497, r22496, MPFR_RNDN); return mpfr_get_d(r22497, MPFR_RNDN); } static mpfr_t 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, r22529, r22530, r22531, r22532, r22533, r22534, r22535, r22536, r22537, r22538, r22539; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22498, "1", 10, MPFR_RNDN); mpfr_init(r22499); mpfr_init(r22500); mpfr_init(r22501); mpfr_init(r22502); mpfr_init(r22503); mpfr_init(r22504); mpfr_init(r22505); mpfr_init_set_str(r22506, "2", 10, MPFR_RNDN); mpfr_init(r22507); mpfr_init(r22508); mpfr_init(r22509); mpfr_init(r22510); mpfr_init(r22511); mpfr_init(r22512); mpfr_init_set_str(r22513, "0.0", 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_set_str(r22522, "3.405148864100225e-83", 10, MPFR_RNDN); mpfr_init(r22523); mpfr_init(r22524); mpfr_init(r22525); mpfr_init(r22526); mpfr_init_set_str(r22527, "3", 10, MPFR_RNDN); mpfr_init(r22528); 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); } double f_fm(double t, double l, double Om, double Omc) { ; mpfr_set_d(r22499, Om, MPFR_RNDN); mpfr_set_d(r22500, Omc, MPFR_RNDN); mpfr_div(r22501, r22499, r22500, MPFR_RNDN); mpfr_mul(r22502, r22501, r22501, MPFR_RNDN); mpfr_sub(r22503, r22498, r22502, MPFR_RNDN); mpfr_sqrt(r22504, r22503, MPFR_RNDN); mpfr_set_d(r22505, t, MPFR_RNDN); ; mpfr_sqrt(r22507, r22506, MPFR_RNDN); mpfr_mul(r22508, r22505, r22507, MPFR_RNDN); mpfr_set_d(r22509, l, MPFR_RNDN); mpfr_div(r22510, r22508, r22509, MPFR_RNDN); mpfr_div(r22511, r22504, r22510, MPFR_RNDN); mpfr_asin(r22512, r22511, MPFR_RNDN); ; mpfr_set_si(r22514, mpfr_cmp(r22512, r22513) <= 0, MPFR_RNDN); mpfr_div(r22515, r22509, r22505, MPFR_RNDN); mpfr_mul(r22516, r22515, r22515, MPFR_RNDN); mpfr_div(r22517, r22506, r22516, MPFR_RNDN); mpfr_add(r22518, r22517, r22498, MPFR_RNDN); mpfr_sqrt(r22519, r22518, MPFR_RNDN); mpfr_div(r22520, r22504, r22519, MPFR_RNDN); mpfr_asin(r22521, r22520, MPFR_RNDN); ; mpfr_set_si(r22523, mpfr_cmp(r22512, r22522) <= 0, MPFR_RNDN); mpfr_div(r22524, r22505, r22509, MPFR_RNDN); mpfr_mul(r22525, r22506, r22506, MPFR_RNDN); mpfr_mul(r22526, r22524, r22525, MPFR_RNDN); ; mpfr_pow(r22528, r22524, r22527, MPFR_RNDN); mpfr_mul(r22529, r22526, r22528, MPFR_RNDN); mpfr_sub(r22530, r22498, r22529, MPFR_RNDN); mpfr_div(r22531, r22503, r22530, MPFR_RNDN); mpfr_pow(r22532, r22524, r22506, MPFR_RNDN); mpfr_mul(r22533, r22506, r22532, MPFR_RNDN); mpfr_sub(r22534, r22498, r22533, MPFR_RNDN); mpfr_mul(r22535, r22531, r22534, MPFR_RNDN); mpfr_sqrt(r22536, r22535, MPFR_RNDN); mpfr_asin(r22537, r22536, MPFR_RNDN); if (mpfr_get_si(r22523, MPFR_RNDN)) { mpfr_set(r22538, r22512, MPFR_RNDN); } else { mpfr_set(r22538, r22537, MPFR_RNDN); }; if (mpfr_get_si(r22514, MPFR_RNDN)) { mpfr_set(r22539, r22521, MPFR_RNDN); } else { mpfr_set(r22539, r22538, MPFR_RNDN); }; return mpfr_get_d(r22539, MPFR_RNDN); } static mpfr_t 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; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r22540, "1", 10, MPFR_RNDN); mpfr_init(r22541); mpfr_init(r22542); mpfr_init(r22543); mpfr_init(r22544); mpfr_init(r22545); mpfr_init(r22546); mpfr_init(r22547); mpfr_init_set_str(r22548, "2", 10, MPFR_RNDN); mpfr_init(r22549); mpfr_init(r22550); mpfr_init(r22551); mpfr_init(r22552); mpfr_init(r22553); mpfr_init(r22554); mpfr_init_set_str(r22555, "0.0", 10, MPFR_RNDN); 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_set_str(r22564, "3.405148864100225e-83", 10, MPFR_RNDN); mpfr_init(r22565); mpfr_init(r22566); mpfr_init(r22567); mpfr_init(r22568); mpfr_init_set_str(r22569, "3", 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); } double f_dm(double t, double l, double Om, double Omc) { ; mpfr_set_d(r22541, Om, MPFR_RNDN); mpfr_set_d(r22542, Omc, MPFR_RNDN); mpfr_div(r22543, r22541, r22542, MPFR_RNDN); mpfr_mul(r22544, r22543, r22543, MPFR_RNDN); mpfr_sub(r22545, r22540, r22544, MPFR_RNDN); mpfr_sqrt(r22546, r22545, MPFR_RNDN); mpfr_set_d(r22547, t, MPFR_RNDN); ; mpfr_sqrt(r22549, r22548, MPFR_RNDN); mpfr_mul(r22550, r22547, r22549, MPFR_RNDN); mpfr_set_d(r22551, l, MPFR_RNDN); mpfr_div(r22552, r22550, r22551, MPFR_RNDN); mpfr_div(r22553, r22546, r22552, MPFR_RNDN); mpfr_asin(r22554, r22553, MPFR_RNDN); ; mpfr_set_si(r22556, mpfr_cmp(r22554, r22555) <= 0, MPFR_RNDN); mpfr_div(r22557, r22551, r22547, MPFR_RNDN); mpfr_mul(r22558, r22557, r22557, MPFR_RNDN); mpfr_div(r22559, r22548, r22558, MPFR_RNDN); mpfr_add(r22560, r22559, r22540, MPFR_RNDN); mpfr_sqrt(r22561, r22560, MPFR_RNDN); mpfr_div(r22562, r22546, r22561, MPFR_RNDN); mpfr_asin(r22563, r22562, MPFR_RNDN); ; mpfr_set_si(r22565, mpfr_cmp(r22554, r22564) <= 0, MPFR_RNDN); mpfr_div(r22566, r22547, r22551, MPFR_RNDN); mpfr_mul(r22567, r22548, r22548, MPFR_RNDN); mpfr_mul(r22568, r22566, r22567, MPFR_RNDN); ; mpfr_pow(r22570, r22566, r22569, MPFR_RNDN); mpfr_mul(r22571, r22568, r22570, MPFR_RNDN); mpfr_sub(r22572, r22540, r22571, MPFR_RNDN); mpfr_div(r22573, r22545, r22572, MPFR_RNDN); mpfr_pow(r22574, r22566, r22548, MPFR_RNDN); mpfr_mul(r22575, r22548, r22574, MPFR_RNDN); mpfr_sub(r22576, r22540, r22575, MPFR_RNDN); mpfr_mul(r22577, r22573, r22576, MPFR_RNDN); mpfr_sqrt(r22578, r22577, MPFR_RNDN); mpfr_asin(r22579, r22578, MPFR_RNDN); if (mpfr_get_si(r22565, MPFR_RNDN)) { mpfr_set(r22580, r22554, MPFR_RNDN); } else { mpfr_set(r22580, r22579, MPFR_RNDN); }; if (mpfr_get_si(r22556, MPFR_RNDN)) { mpfr_set(r22581, r22563, MPFR_RNDN); } else { mpfr_set(r22581, r22580, MPFR_RNDN); }; return mpfr_get_d(r22581, MPFR_RNDN); }