#include #include #include #include #include char *name = "Toniolo and Linder, Equation (3a)"; double f_if(float l, float Om, float kx, float ky) { float r24339 = 1; float r24340 = 2; float r24341 = r24339 / r24340; float r24342 = l; float r24343 = r24340 * r24342; float r24344 = Om; float r24345 = r24343 / r24344; float r24346 = pow(r24345, r24340); float r24347 = kx; float r24348 = sin(r24347); float r24349 = pow(r24348, r24340); float r24350 = ky; float r24351 = sin(r24350); float r24352 = pow(r24351, r24340); float r24353 = r24349 + r24352; float r24354 = r24346 * r24353; float r24355 = r24339 + r24354; float r24356 = sqrt(r24355); float r24357 = r24339 / r24356; float r24358 = r24339 + r24357; float r24359 = r24341 * r24358; float r24360 = sqrt(r24359); return r24360; } double f_id(double l, double Om, double kx, double ky) { double r24361 = 1; double r24362 = 2; double r24363 = r24361 / r24362; double r24364 = l; double r24365 = r24362 * r24364; double r24366 = Om; double r24367 = r24365 / r24366; double r24368 = pow(r24367, r24362); double r24369 = kx; double r24370 = sin(r24369); double r24371 = pow(r24370, r24362); double r24372 = ky; double r24373 = sin(r24372); double r24374 = pow(r24373, r24362); double r24375 = r24371 + r24374; double r24376 = r24368 * r24375; double r24377 = r24361 + r24376; double r24378 = sqrt(r24377); double r24379 = r24361 / r24378; double r24380 = r24361 + r24379; double r24381 = r24363 * r24380; double r24382 = sqrt(r24381); return r24382; } double f_of(float l, float Om, float kx, float ky) { float r24383 = 1; float r24384 = 2; float r24385 = l; float r24386 = r24384 * r24385; float r24387 = Om; float r24388 = r24386 / r24387; float r24389 = pow(r24388, r24384); float r24390 = kx; float r24391 = sin(r24390); float r24392 = pow(r24391, r24384); float r24393 = ky; float r24394 = sin(r24393); float r24395 = pow(r24394, r24384); float r24396 = r24392 + r24395; float r24397 = r24389 * r24396; float r24398 = r24383 + r24397; float r24399 = sqrt(r24398); float r24400 = 200152991571377.03; bool r24401 = r24399 <= r24400; float r24402 = r24383 / r24384; float r24403 = r24388 * r24396; float r24404 = r24388 * r24403; float r24405 = r24383 + r24404; float r24406 = sqrt(r24405); float r24407 = r24383 / r24406; float r24408 = r24383 + r24407; float r24409 = r24402 * r24408; float r24410 = sqrt(r24409); float r24411 = sqrt(r24402); float r24412 = r24401 ? r24410 : r24411; return r24412; } double f_od(double l, double Om, double kx, double ky) { double r24413 = 1; double r24414 = 2; double r24415 = l; double r24416 = r24414 * r24415; double r24417 = Om; double r24418 = r24416 / r24417; double r24419 = pow(r24418, r24414); double r24420 = kx; double r24421 = sin(r24420); double r24422 = pow(r24421, r24414); double r24423 = ky; double r24424 = sin(r24423); double r24425 = pow(r24424, r24414); double r24426 = r24422 + r24425; double r24427 = r24419 * r24426; double r24428 = r24413 + r24427; double r24429 = sqrt(r24428); double r24430 = 200152991571377.03; bool r24431 = r24429 <= r24430; double r24432 = r24413 / r24414; double r24433 = r24418 * r24426; double r24434 = r24418 * r24433; double r24435 = r24413 + r24434; double r24436 = sqrt(r24435); double r24437 = r24413 / r24436; double r24438 = r24413 + r24437; double r24439 = r24432 * r24438; double r24440 = sqrt(r24439); double r24441 = sqrt(r24432); double r24442 = r24431 ? r24440 : r24441; return r24442; } 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 r24443, r24444, r24445, r24446, r24447, r24448, r24449, r24450, r24451, r24452, r24453, r24454, r24455, r24456, r24457, r24458, r24459, r24460, r24461, r24462, r24463, r24464; void setup_mpfr_f_im() { mpfr_set_default_prec(336); mpfr_init_set_str(r24443, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24444, "2", 10, MPFR_RNDN); mpfr_init(r24445); mpfr_init(r24446); mpfr_init(r24447); mpfr_init(r24448); mpfr_init(r24449); mpfr_init(r24450); mpfr_init(r24451); mpfr_init(r24452); mpfr_init(r24453); mpfr_init(r24454); mpfr_init(r24455); mpfr_init(r24456); mpfr_init(r24457); mpfr_init(r24458); mpfr_init(r24459); mpfr_init(r24460); mpfr_init(r24461); mpfr_init(r24462); mpfr_init(r24463); mpfr_init(r24464); } double f_im(double l, double Om, double kx, double ky) { ; ; mpfr_div(r24445, r24443, r24444, MPFR_RNDN); mpfr_set_d(r24446, l, MPFR_RNDN); mpfr_mul(r24447, r24444, r24446, MPFR_RNDN); mpfr_set_d(r24448, Om, MPFR_RNDN); mpfr_div(r24449, r24447, r24448, MPFR_RNDN); mpfr_pow(r24450, r24449, r24444, MPFR_RNDN); mpfr_set_d(r24451, kx, MPFR_RNDN); mpfr_sin(r24452, r24451, MPFR_RNDN); mpfr_pow(r24453, r24452, r24444, MPFR_RNDN); mpfr_set_d(r24454, ky, MPFR_RNDN); mpfr_sin(r24455, r24454, MPFR_RNDN); mpfr_pow(r24456, r24455, r24444, MPFR_RNDN); mpfr_add(r24457, r24453, r24456, MPFR_RNDN); mpfr_mul(r24458, r24450, r24457, MPFR_RNDN); mpfr_add(r24459, r24443, r24458, MPFR_RNDN); mpfr_sqrt(r24460, r24459, MPFR_RNDN); mpfr_div(r24461, r24443, r24460, MPFR_RNDN); mpfr_add(r24462, r24443, r24461, MPFR_RNDN); mpfr_mul(r24463, r24445, r24462, MPFR_RNDN); mpfr_sqrt(r24464, r24463, MPFR_RNDN); return mpfr_get_d(r24464, MPFR_RNDN); } static mpfr_t r24465, r24466, r24467, r24468, r24469, r24470, r24471, r24472, r24473, r24474, r24475, r24476, r24477, r24478, r24479, r24480, r24481, r24482, r24483, r24484, r24485, r24486, r24487, r24488, r24489, r24490, r24491, r24492, r24493, r24494; void setup_mpfr_f_fm() { mpfr_set_default_prec(336); mpfr_init_set_str(r24465, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24466, "2", 10, MPFR_RNDN); mpfr_init(r24467); mpfr_init(r24468); mpfr_init(r24469); mpfr_init(r24470); mpfr_init(r24471); mpfr_init(r24472); mpfr_init(r24473); mpfr_init(r24474); mpfr_init(r24475); mpfr_init(r24476); mpfr_init(r24477); mpfr_init(r24478); mpfr_init(r24479); mpfr_init(r24480); mpfr_init(r24481); mpfr_init_set_str(r24482, "200152991571377.03", 10, MPFR_RNDN); mpfr_init(r24483); mpfr_init(r24484); mpfr_init(r24485); mpfr_init(r24486); mpfr_init(r24487); mpfr_init(r24488); mpfr_init(r24489); mpfr_init(r24490); mpfr_init(r24491); mpfr_init(r24492); mpfr_init(r24493); mpfr_init(r24494); } double f_fm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r24467, l, MPFR_RNDN); mpfr_mul(r24468, r24466, r24467, MPFR_RNDN); mpfr_set_d(r24469, Om, MPFR_RNDN); mpfr_div(r24470, r24468, r24469, MPFR_RNDN); mpfr_pow(r24471, r24470, r24466, MPFR_RNDN); mpfr_set_d(r24472, kx, MPFR_RNDN); mpfr_sin(r24473, r24472, MPFR_RNDN); mpfr_pow(r24474, r24473, r24466, MPFR_RNDN); mpfr_set_d(r24475, ky, MPFR_RNDN); mpfr_sin(r24476, r24475, MPFR_RNDN); mpfr_pow(r24477, r24476, r24466, MPFR_RNDN); mpfr_add(r24478, r24474, r24477, MPFR_RNDN); mpfr_mul(r24479, r24471, r24478, MPFR_RNDN); mpfr_add(r24480, r24465, r24479, MPFR_RNDN); mpfr_sqrt(r24481, r24480, MPFR_RNDN); ; mpfr_set_si(r24483, mpfr_cmp(r24481, r24482) <= 0, MPFR_RNDN); mpfr_div(r24484, r24465, r24466, MPFR_RNDN); mpfr_mul(r24485, r24470, r24478, MPFR_RNDN); mpfr_mul(r24486, r24470, r24485, MPFR_RNDN); mpfr_add(r24487, r24465, r24486, MPFR_RNDN); mpfr_sqrt(r24488, r24487, MPFR_RNDN); mpfr_div(r24489, r24465, r24488, MPFR_RNDN); mpfr_add(r24490, r24465, r24489, MPFR_RNDN); mpfr_mul(r24491, r24484, r24490, MPFR_RNDN); mpfr_sqrt(r24492, r24491, MPFR_RNDN); mpfr_sqrt(r24493, r24484, MPFR_RNDN); if (mpfr_get_si(r24483, MPFR_RNDN)) { mpfr_set(r24494, r24492, MPFR_RNDN); } else { mpfr_set(r24494, r24493, MPFR_RNDN); }; return mpfr_get_d(r24494, MPFR_RNDN); } static mpfr_t r24495, r24496, r24497, r24498, r24499, r24500, r24501, r24502, r24503, r24504, r24505, r24506, r24507, r24508, r24509, r24510, r24511, r24512, r24513, r24514, r24515, r24516, r24517, r24518, r24519, r24520, r24521, r24522, r24523, r24524; void setup_mpfr_f_dm() { mpfr_set_default_prec(336); mpfr_init_set_str(r24495, "1", 10, MPFR_RNDN); mpfr_init_set_str(r24496, "2", 10, MPFR_RNDN); mpfr_init(r24497); mpfr_init(r24498); mpfr_init(r24499); mpfr_init(r24500); mpfr_init(r24501); mpfr_init(r24502); mpfr_init(r24503); mpfr_init(r24504); mpfr_init(r24505); mpfr_init(r24506); mpfr_init(r24507); mpfr_init(r24508); mpfr_init(r24509); mpfr_init(r24510); mpfr_init(r24511); mpfr_init_set_str(r24512, "200152991571377.03", 10, MPFR_RNDN); mpfr_init(r24513); mpfr_init(r24514); mpfr_init(r24515); mpfr_init(r24516); mpfr_init(r24517); mpfr_init(r24518); mpfr_init(r24519); mpfr_init(r24520); mpfr_init(r24521); mpfr_init(r24522); mpfr_init(r24523); mpfr_init(r24524); } double f_dm(double l, double Om, double kx, double ky) { ; ; mpfr_set_d(r24497, l, MPFR_RNDN); mpfr_mul(r24498, r24496, r24497, MPFR_RNDN); mpfr_set_d(r24499, Om, MPFR_RNDN); mpfr_div(r24500, r24498, r24499, MPFR_RNDN); mpfr_pow(r24501, r24500, r24496, MPFR_RNDN); mpfr_set_d(r24502, kx, MPFR_RNDN); mpfr_sin(r24503, r24502, MPFR_RNDN); mpfr_pow(r24504, r24503, r24496, MPFR_RNDN); mpfr_set_d(r24505, ky, MPFR_RNDN); mpfr_sin(r24506, r24505, MPFR_RNDN); mpfr_pow(r24507, r24506, r24496, MPFR_RNDN); mpfr_add(r24508, r24504, r24507, MPFR_RNDN); mpfr_mul(r24509, r24501, r24508, MPFR_RNDN); mpfr_add(r24510, r24495, r24509, MPFR_RNDN); mpfr_sqrt(r24511, r24510, MPFR_RNDN); ; mpfr_set_si(r24513, mpfr_cmp(r24511, r24512) <= 0, MPFR_RNDN); mpfr_div(r24514, r24495, r24496, MPFR_RNDN); mpfr_mul(r24515, r24500, r24508, MPFR_RNDN); mpfr_mul(r24516, r24500, r24515, MPFR_RNDN); mpfr_add(r24517, r24495, r24516, MPFR_RNDN); mpfr_sqrt(r24518, r24517, MPFR_RNDN); mpfr_div(r24519, r24495, r24518, MPFR_RNDN); mpfr_add(r24520, r24495, r24519, MPFR_RNDN); mpfr_mul(r24521, r24514, r24520, MPFR_RNDN); mpfr_sqrt(r24522, r24521, MPFR_RNDN); mpfr_sqrt(r24523, r24514, MPFR_RNDN); if (mpfr_get_si(r24513, MPFR_RNDN)) { mpfr_set(r24524, r24522, MPFR_RNDN); } else { mpfr_set(r24524, r24523, MPFR_RNDN); }; return mpfr_get_d(r24524, MPFR_RNDN); }