#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r21340 = 1; float r21341 = 2; float r21342 = r21340 / r21341; float r21343 = l; float r21344 = r21341 * r21343; float r21345 = Om; float r21346 = r21344 / r21345; float r21347 = pow(r21346, r21341); float r21348 = kx; float r21349 = sin(r21348); float r21350 = pow(r21349, r21341); float r21351 = ky; float r21352 = sin(r21351); float r21353 = pow(r21352, r21341); float r21354 = r21350 + r21353; float r21355 = r21347 * r21354; float r21356 = r21340 + r21355; float r21357 = sqrt(r21356); float r21358 = r21340 / r21357; float r21359 = r21340 + r21358; float r21360 = r21342 * r21359; float r21361 = sqrt(r21360); return r21361; } double f_id(double l, double Om, double kx, double ky) { double r21362 = 1; double r21363 = 2; double r21364 = r21362 / r21363; double r21365 = l; double r21366 = r21363 * r21365; double r21367 = Om; double r21368 = r21366 / r21367; double r21369 = pow(r21368, r21363); double r21370 = kx; double r21371 = sin(r21370); double r21372 = pow(r21371, r21363); double r21373 = ky; double r21374 = sin(r21373); double r21375 = pow(r21374, r21363); double r21376 = r21372 + r21375; double r21377 = r21369 * r21376; double r21378 = r21362 + r21377; double r21379 = sqrt(r21378); double r21380 = r21362 / r21379; double r21381 = r21362 + r21380; double r21382 = r21364 * r21381; double r21383 = sqrt(r21382); return r21383; } double f_of(float l, float Om, float kx, float ky) { float r21384 = 1; float r21385 = 2; float r21386 = l; float r21387 = r21385 * r21386; float r21388 = Om; float r21389 = r21387 / r21388; float r21390 = pow(r21389, r21385); float r21391 = kx; float r21392 = sin(r21391); float r21393 = pow(r21392, r21385); float r21394 = ky; float r21395 = sin(r21394); float r21396 = pow(r21395, r21385); float r21397 = r21393 + r21396; float r21398 = r21390 * r21397; float r21399 = r21384 + r21398; float r21400 = sqrt(r21399); float r21401 = 520266214460378.06; bool r21402 = r21400 <= r21401; float r21403 = r21384 / r21385; float r21404 = r21386 + r21386; float r21405 = r21404 / r21388; float r21406 = r21405 * r21405; float r21407 = r21392 * r21392; float r21408 = fma(r21395, r21395, r21407); float r21409 = fma(r21406, r21408, r21384); float r21410 = sqrt(r21409); float r21411 = r21410 * r21409; float r21412 = cbrt(r21411); float r21413 = r21384 / r21412; float r21414 = r21384 + r21413; float r21415 = r21403 * r21414; float r21416 = sqrt(r21415); float r21417 = sqrt(r21403); float r21418 = r21402 ? r21416 : r21417; return r21418; } double f_od(double l, double Om, double kx, double ky) { double r21419 = 1; double r21420 = 2; double r21421 = l; double r21422 = r21420 * r21421; double r21423 = Om; double r21424 = r21422 / r21423; double r21425 = pow(r21424, r21420); double r21426 = kx; double r21427 = sin(r21426); double r21428 = pow(r21427, r21420); double r21429 = ky; double r21430 = sin(r21429); double r21431 = pow(r21430, r21420); double r21432 = r21428 + r21431; double r21433 = r21425 * r21432; double r21434 = r21419 + r21433; double r21435 = sqrt(r21434); double r21436 = 520266214460378.06; bool r21437 = r21435 <= r21436; double r21438 = r21419 / r21420; double r21439 = r21421 + r21421; double r21440 = r21439 / r21423; double r21441 = r21440 * r21440; double r21442 = r21427 * r21427; double r21443 = fma(r21430, r21430, r21442); double r21444 = fma(r21441, r21443, r21419); double r21445 = sqrt(r21444); double r21446 = r21445 * r21444; double r21447 = cbrt(r21446); double r21448 = r21419 / r21447; double r21449 = r21419 + r21448; double r21450 = r21438 * r21449; double r21451 = sqrt(r21450); double r21452 = sqrt(r21438); double r21453 = r21437 ? r21451 : r21452; return r21453; } 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 r21454, r21455, r21456, r21457, r21458, r21459, r21460, r21461, r21462, r21463, r21464, r21465, r21466, r21467, r21468, r21469, r21470, r21471, r21472, r21473, r21474, r21475; void setup_mpfr_f_im() { mpfr_set_default_prec(400); mpfr_init_set_str(r21454, "1", 10, MPFR_RNDN); mpfr_init_set_str(r21455, "2", 10, MPFR_RNDN); mpfr_init(r21456); mpfr_init(r21457); mpfr_init(r21458); mpfr_init(r21459); mpfr_init(r21460); mpfr_init(r21461); mpfr_init(r21462); mpfr_init(r21463); mpfr_init(r21464); mpfr_init(r21465); mpfr_init(r21466); mpfr_init(r21467); mpfr_init(r21468); mpfr_init(r21469); mpfr_init(r21470); mpfr_init(r21471); mpfr_init(r21472); mpfr_init(r21473); mpfr_init(r21474); mpfr_init(r21475); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r21456, r21454, r21455, MPFR_RNDN); mpfr_set_d(r21457, l, MPFR_RNDN); mpfr_mul(r21458, r21455, r21457, MPFR_RNDN); mpfr_set_d(r21459, Om, MPFR_RNDN); mpfr_div(r21460, r21458, r21459, MPFR_RNDN); mpfr_pow(r21461, r21460, r21455, MPFR_RNDN); mpfr_set_d(r21462, kx, MPFR_RNDN); mpfr_sin(r21463, r21462, MPFR_RNDN); mpfr_pow(r21464, r21463, r21455, MPFR_RNDN); mpfr_set_d(r21465, ky, MPFR_RNDN); mpfr_sin(r21466, r21465, MPFR_RNDN); mpfr_pow(r21467, r21466, r21455, MPFR_RNDN); mpfr_add(r21468, r21464, r21467, MPFR_RNDN); mpfr_mul(r21469, r21461, r21468, MPFR_RNDN); mpfr_add(r21470, r21454, r21469, MPFR_RNDN); mpfr_sqrt(r21471, r21470, MPFR_RNDN); mpfr_div(r21472, r21454, r21471, MPFR_RNDN); mpfr_add(r21473, r21454, r21472, MPFR_RNDN); mpfr_mul(r21474, r21456, r21473, MPFR_RNDN); mpfr_sqrt(r21475, r21474, MPFR_RNDN); return mpfr_get_d(r21475, MPFR_RNDN); } static mpfr_t r21476, r21477, r21478, r21479, r21480, r21481, r21482, r21483, r21484, r21485, r21486, r21487, r21488, r21489, r21490, r21491, r21492, r21493, r21494, r21495, r21496, r21497, r21498, r21499, r21500, r21501, r21502, r21503, r21504, r21505, r21506, r21507, r21508, r21509, r21510; void setup_mpfr_f_fm() { mpfr_set_default_prec(400); mpfr_init_set_str(r21476, "1", 10, MPFR_RNDN); mpfr_init_set_str(r21477, "2", 10, MPFR_RNDN); mpfr_init(r21478); mpfr_init(r21479); mpfr_init(r21480); mpfr_init(r21481); mpfr_init(r21482); mpfr_init(r21483); mpfr_init(r21484); mpfr_init(r21485); mpfr_init(r21486); mpfr_init(r21487); mpfr_init(r21488); mpfr_init(r21489); mpfr_init(r21490); mpfr_init(r21491); mpfr_init(r21492); mpfr_init_set_str(r21493, "520266214460378.06", 10, MPFR_RNDN); mpfr_init(r21494); mpfr_init(r21495); mpfr_init(r21496); mpfr_init(r21497); mpfr_init(r21498); mpfr_init(r21499); mpfr_init(r21500); mpfr_init(r21501); mpfr_init(r21502); mpfr_init(r21503); mpfr_init(r21504); mpfr_init(r21505); mpfr_init(r21506); mpfr_init(r21507); mpfr_init(r21508); mpfr_init(r21509); mpfr_init(r21510); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r21478, l, MPFR_RNDN); mpfr_mul(r21479, r21477, r21478, MPFR_RNDN); mpfr_set_d(r21480, Om, MPFR_RNDN); mpfr_div(r21481, r21479, r21480, MPFR_RNDN); mpfr_pow(r21482, r21481, r21477, MPFR_RNDN); mpfr_set_d(r21483, kx, MPFR_RNDN); mpfr_sin(r21484, r21483, MPFR_RNDN); mpfr_pow(r21485, r21484, r21477, MPFR_RNDN); mpfr_set_d(r21486, ky, MPFR_RNDN); mpfr_sin(r21487, r21486, MPFR_RNDN); mpfr_pow(r21488, r21487, r21477, MPFR_RNDN); mpfr_add(r21489, r21485, r21488, MPFR_RNDN); mpfr_mul(r21490, r21482, r21489, MPFR_RNDN); mpfr_add(r21491, r21476, r21490, MPFR_RNDN); mpfr_sqrt(r21492, r21491, MPFR_RNDN); ; mpfr_set_si(r21494, mpfr_cmp(r21492, r21493) <= 0, MPFR_RNDN); mpfr_div(r21495, r21476, r21477, MPFR_RNDN); mpfr_add(r21496, r21478, r21478, MPFR_RNDN); mpfr_div(r21497, r21496, r21480, MPFR_RNDN); mpfr_mul(r21498, r21497, r21497, MPFR_RNDN); mpfr_mul(r21499, r21484, r21484, MPFR_RNDN); mpfr_fma(r21500, r21487, r21487, r21499, MPFR_RNDN); mpfr_fma(r21501, r21498, r21500, r21476, MPFR_RNDN); mpfr_sqrt(r21502, r21501, MPFR_RNDN); mpfr_mul(r21503, r21502, r21501, MPFR_RNDN); mpfr_cbrt(r21504, r21503, MPFR_RNDN); mpfr_div(r21505, r21476, r21504, MPFR_RNDN); mpfr_add(r21506, r21476, r21505, MPFR_RNDN); mpfr_mul(r21507, r21495, r21506, MPFR_RNDN); mpfr_sqrt(r21508, r21507, MPFR_RNDN); mpfr_sqrt(r21509, r21495, MPFR_RNDN); if (mpfr_get_si(r21494, MPFR_RNDN)) { mpfr_set(r21510, r21508, MPFR_RNDN); } else { mpfr_set(r21510, r21509, MPFR_RNDN); }; return mpfr_get_d(r21510, MPFR_RNDN); } static mpfr_t r21511, r21512, r21513, r21514, r21515, r21516, r21517, r21518, r21519, r21520, r21521, r21522, r21523, r21524, r21525, r21526, r21527, r21528, r21529, r21530, r21531, r21532, r21533, r21534, r21535, r21536, r21537, r21538, r21539, r21540, r21541, r21542, r21543, r21544, r21545; void setup_mpfr_f_dm() { mpfr_set_default_prec(400); mpfr_init_set_str(r21511, "1", 10, MPFR_RNDN); mpfr_init_set_str(r21512, "2", 10, MPFR_RNDN); mpfr_init(r21513); mpfr_init(r21514); mpfr_init(r21515); mpfr_init(r21516); mpfr_init(r21517); mpfr_init(r21518); mpfr_init(r21519); mpfr_init(r21520); mpfr_init(r21521); mpfr_init(r21522); mpfr_init(r21523); mpfr_init(r21524); mpfr_init(r21525); mpfr_init(r21526); mpfr_init(r21527); mpfr_init_set_str(r21528, "520266214460378.06", 10, MPFR_RNDN); mpfr_init(r21529); mpfr_init(r21530); mpfr_init(r21531); mpfr_init(r21532); mpfr_init(r21533); mpfr_init(r21534); mpfr_init(r21535); mpfr_init(r21536); mpfr_init(r21537); mpfr_init(r21538); mpfr_init(r21539); mpfr_init(r21540); mpfr_init(r21541); mpfr_init(r21542); mpfr_init(r21543); mpfr_init(r21544); mpfr_init(r21545); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r21513, l, MPFR_RNDN); mpfr_mul(r21514, r21512, r21513, MPFR_RNDN); mpfr_set_d(r21515, Om, MPFR_RNDN); mpfr_div(r21516, r21514, r21515, MPFR_RNDN); mpfr_pow(r21517, r21516, r21512, MPFR_RNDN); mpfr_set_d(r21518, kx, MPFR_RNDN); mpfr_sin(r21519, r21518, MPFR_RNDN); mpfr_pow(r21520, r21519, r21512, MPFR_RNDN); mpfr_set_d(r21521, ky, MPFR_RNDN); mpfr_sin(r21522, r21521, MPFR_RNDN); mpfr_pow(r21523, r21522, r21512, MPFR_RNDN); mpfr_add(r21524, r21520, r21523, MPFR_RNDN); mpfr_mul(r21525, r21517, r21524, MPFR_RNDN); mpfr_add(r21526, r21511, r21525, MPFR_RNDN); mpfr_sqrt(r21527, r21526, MPFR_RNDN); ; mpfr_set_si(r21529, mpfr_cmp(r21527, r21528) <= 0, MPFR_RNDN); mpfr_div(r21530, r21511, r21512, MPFR_RNDN); mpfr_add(r21531, r21513, r21513, MPFR_RNDN); mpfr_div(r21532, r21531, r21515, MPFR_RNDN); mpfr_mul(r21533, r21532, r21532, MPFR_RNDN); mpfr_mul(r21534, r21519, r21519, MPFR_RNDN); mpfr_fma(r21535, r21522, r21522, r21534, MPFR_RNDN); mpfr_fma(r21536, r21533, r21535, r21511, MPFR_RNDN); mpfr_sqrt(r21537, r21536, MPFR_RNDN); mpfr_mul(r21538, r21537, r21536, MPFR_RNDN); mpfr_cbrt(r21539, r21538, MPFR_RNDN); mpfr_div(r21540, r21511, r21539, MPFR_RNDN); mpfr_add(r21541, r21511, r21540, MPFR_RNDN); mpfr_mul(r21542, r21530, r21541, MPFR_RNDN); mpfr_sqrt(r21543, r21542, MPFR_RNDN); mpfr_sqrt(r21544, r21530, MPFR_RNDN); if (mpfr_get_si(r21529, MPFR_RNDN)) { mpfr_set(r21545, r21543, MPFR_RNDN); } else { mpfr_set(r21545, r21544, MPFR_RNDN); }; return mpfr_get_d(r21545, MPFR_RNDN); }