#include #include #include #include #include char *name = "Jmat.Real.gamma, branch z greater than 0.5"; double f_if(float z) { float r17319 = atan2(1.0, 0.0); float r17320 = 2.0f; float r17321 = r17319 * r17320; float r17322 = sqrt(r17321); float r17323 = z; float r17324 = 1.0f; float r17325 = r17323 - r17324; float r17326 = 7.0f; float r17327 = r17325 + r17326; float r17328 = 0.5f; float r17329 = r17327 + r17328; float r17330 = r17325 + r17328; float r17331 = pow(r17329, r17330); float r17332 = r17322 * r17331; float r17333 = -r17329; float r17334 = exp(r17333); float r17335 = r17332 * r17334; float r17336 = 1.0f; float r17337 = 676.5203857421875f; float r17338 = r17325 + r17324; float r17339 = r17337 / r17338; float r17340 = r17336 + r17339; float r17341 = -1259.13916015625f; float r17342 = r17325 + r17320; float r17343 = r17341 / r17342; float r17344 = r17340 + r17343; float r17345 = 771.3234252929688f; float r17346 = 3.0f; float r17347 = r17325 + r17346; float r17348 = r17345 / r17347; float r17349 = r17344 + r17348; float r17350 = -176.6150360107422f; float r17351 = 4.0f; float r17352 = r17325 + r17351; float r17353 = r17350 / r17352; float r17354 = r17349 + r17353; float r17355 = 12.507343292236328f; float r17356 = 5.0f; float r17357 = r17325 + r17356; float r17358 = r17355 / r17357; float r17359 = r17354 + r17358; float r17360 = -0.138571098446846f; float r17361 = 6.0f; float r17362 = r17325 + r17361; float r17363 = r17360 / r17362; float r17364 = r17359 + r17363; float r17365 = 9.984369171434082e-06f; float r17366 = r17365 / r17327; float r17367 = r17364 + r17366; float r17368 = 1.5056326674312004e-07f; float r17369 = 8.0f; float r17370 = r17325 + r17369; float r17371 = r17368 / r17370; float r17372 = r17367 + r17371; float r17373 = r17335 * r17372; return r17373; } double f_id(double z) { double r17374 = atan2(1.0, 0.0); double r17375 = 2.0; double r17376 = r17374 * r17375; double r17377 = sqrt(r17376); double r17378 = z; double r17379 = 1.0; double r17380 = r17378 - r17379; double r17381 = 7.0; double r17382 = r17380 + r17381; double r17383 = 0.5; double r17384 = r17382 + r17383; double r17385 = r17380 + r17383; double r17386 = pow(r17384, r17385); double r17387 = r17377 * r17386; double r17388 = -r17384; double r17389 = exp(r17388); double r17390 = r17387 * r17389; double r17391 = 1.0; double r17392 = 676.5203857421875; double r17393 = r17380 + r17379; double r17394 = r17392 / r17393; double r17395 = r17391 + r17394; double r17396 = -1259.13916015625; double r17397 = r17380 + r17375; double r17398 = r17396 / r17397; double r17399 = r17395 + r17398; double r17400 = 771.3234252929688; double r17401 = 3.0; double r17402 = r17380 + r17401; double r17403 = r17400 / r17402; double r17404 = r17399 + r17403; double r17405 = -176.6150360107422; double r17406 = 4.0; double r17407 = r17380 + r17406; double r17408 = r17405 / r17407; double r17409 = r17404 + r17408; double r17410 = 12.507343292236328; double r17411 = 5.0; double r17412 = r17380 + r17411; double r17413 = r17410 / r17412; double r17414 = r17409 + r17413; double r17415 = -0.138571098446846; double r17416 = 6.0; double r17417 = r17380 + r17416; double r17418 = r17415 / r17417; double r17419 = r17414 + r17418; double r17420 = 9.984369171434082e-06; double r17421 = r17420 / r17382; double r17422 = r17419 + r17421; double r17423 = 1.5056326674312004e-07; double r17424 = 8.0; double r17425 = r17380 + r17424; double r17426 = r17423 / r17425; double r17427 = r17422 + r17426; double r17428 = r17390 * r17427; return r17428; } double f_of(float z) { float r17429 = 676.5203857421875f; float r17430 = atan2(1.0, 0.0); float r17431 = sqrt(r17430); float r17432 = 1.0f; float r17433 = 6.5f; float r17434 = 1.0f; float r17435 = pow(r17433, r17434); float r17436 = r17432 / r17435; float r17437 = 0.5f; float r17438 = pow(r17436, r17437); float r17439 = r17431 * r17438; float r17440 = log(r17433); float r17441 = 2.0f; float r17442 = sqrt(r17441); float r17443 = exp(r17433); float r17444 = r17442 / r17443; float r17445 = r17440 * r17444; float r17446 = z; float r17447 = r17444 / r17446; float r17448 = r17445 + r17447; float r17449 = r17439 * r17448; float r17450 = 338.26019287109375f; float r17451 = r17442 * r17446; float r17452 = r17440 * r17440; float r17453 = r17443 / r17452; float r17454 = r17451 / r17453; float r17455 = r17450 * r17454; float r17456 = r17455 * r17439; float r17457 = fma(r17429, r17449, r17456); float r17458 = 1656.8104248046875f; float r17459 = r17451 * r17440; float r17460 = r17459 / r17443; float r17461 = r17431 * r17444; float r17462 = r17461 * r17438; float r17463 = fma(r17460, r17439, r17462); float r17464 = r17458 * r17463; float r17465 = 2585.19482421875f; float r17466 = r17446 * r17431; float r17467 = r17443 / r17442; float r17468 = r17466 / r17467; float r17469 = r17438 * r17468; float r17470 = r17465 * r17469; float r17471 = r17464 - r17470; float r17472 = r17457 - r17471; return r17472; } double f_od(double z) { double r17473 = 676.5203857421875; double r17474 = atan2(1.0, 0.0); double r17475 = sqrt(r17474); double r17476 = 1.0; double r17477 = 6.5; double r17478 = 1.0; double r17479 = pow(r17477, r17478); double r17480 = r17476 / r17479; double r17481 = 0.5; double r17482 = pow(r17480, r17481); double r17483 = r17475 * r17482; double r17484 = log(r17477); double r17485 = 2.0; double r17486 = sqrt(r17485); double r17487 = exp(r17477); double r17488 = r17486 / r17487; double r17489 = r17484 * r17488; double r17490 = z; double r17491 = r17488 / r17490; double r17492 = r17489 + r17491; double r17493 = r17483 * r17492; double r17494 = 338.26019287109375; double r17495 = r17486 * r17490; double r17496 = r17484 * r17484; double r17497 = r17487 / r17496; double r17498 = r17495 / r17497; double r17499 = r17494 * r17498; double r17500 = r17499 * r17483; double r17501 = fma(r17473, r17493, r17500); double r17502 = 1656.8104248046875; double r17503 = r17495 * r17484; double r17504 = r17503 / r17487; double r17505 = r17475 * r17488; double r17506 = r17505 * r17482; double r17507 = fma(r17504, r17483, r17506); double r17508 = r17502 * r17507; double r17509 = 2585.19482421875; double r17510 = r17490 * r17475; double r17511 = r17487 / r17486; double r17512 = r17510 / r17511; double r17513 = r17482 * r17512; double r17514 = r17509 * r17513; double r17515 = r17508 - r17514; double r17516 = r17501 - r17515; return r17516; } 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 r17517, r17518, r17519, r17520, r17521, r17522, r17523, r17524, r17525, r17526, r17527, r17528, r17529, r17530, r17531, r17532, r17533, r17534, r17535, r17536, r17537, r17538, r17539, r17540, r17541, r17542, r17543, r17544, r17545, r17546, r17547, r17548, r17549, r17550, r17551, r17552, r17553, r17554, r17555, r17556, r17557, r17558, r17559, r17560, r17561, r17562, r17563, r17564, r17565, r17566, r17567, r17568, r17569, r17570, r17571; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17517); mpfr_init_set_str(r17518, "2", 10, MPFR_RNDN); mpfr_init(r17519); mpfr_init(r17520); mpfr_init(r17521); mpfr_init_set_str(r17522, "1", 10, MPFR_RNDN); mpfr_init(r17523); mpfr_init_set_str(r17524, "7", 10, MPFR_RNDN); mpfr_init(r17525); mpfr_init_set_str(r17526, "0.5", 10, MPFR_RNDN); mpfr_init(r17527); mpfr_init(r17528); mpfr_init(r17529); mpfr_init(r17530); mpfr_init(r17531); mpfr_init(r17532); mpfr_init(r17533); mpfr_init_set_str(r17534, "0.9999999999998099", 10, MPFR_RNDN); mpfr_init_set_str(r17535, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17536); mpfr_init(r17537); mpfr_init(r17538); mpfr_init_set_str(r17539, "-1259.1392167224028", 10, MPFR_RNDN); mpfr_init(r17540); mpfr_init(r17541); mpfr_init(r17542); mpfr_init_set_str(r17543, "771.3234287776531", 10, MPFR_RNDN); mpfr_init_set_str(r17544, "3", 10, MPFR_RNDN); mpfr_init(r17545); mpfr_init(r17546); mpfr_init(r17547); mpfr_init_set_str(r17548, "-176.6150291621406", 10, MPFR_RNDN); mpfr_init_set_str(r17549, "4", 10, MPFR_RNDN); mpfr_init(r17550); mpfr_init(r17551); mpfr_init(r17552); mpfr_init_set_str(r17553, "12.507343278686905", 10, MPFR_RNDN); mpfr_init_set_str(r17554, "5", 10, MPFR_RNDN); mpfr_init(r17555); mpfr_init(r17556); mpfr_init(r17557); mpfr_init_set_str(r17558, "-0.13857109526572012", 10, MPFR_RNDN); mpfr_init_set_str(r17559, "6", 10, MPFR_RNDN); mpfr_init(r17560); mpfr_init(r17561); mpfr_init(r17562); mpfr_init_set_str(r17563, "9.984369578019572e-06", 10, MPFR_RNDN); mpfr_init(r17564); mpfr_init(r17565); mpfr_init_set_str(r17566, "1.5056327351493116e-07", 10, MPFR_RNDN); mpfr_init_set_str(r17567, "8", 10, MPFR_RNDN); mpfr_init(r17568); mpfr_init(r17569); mpfr_init(r17570); mpfr_init(r17571); } double f_im(double z) { mpfr_const_pi(r17517, MPFR_RNDN); ; mpfr_mul(r17519, r17517, r17518, MPFR_RNDN); mpfr_sqrt(r17520, r17519, MPFR_RNDN); mpfr_set_d(r17521, z, MPFR_RNDN); ; mpfr_sub(r17523, r17521, r17522, MPFR_RNDN); ; mpfr_add(r17525, r17523, r17524, MPFR_RNDN); ; mpfr_add(r17527, r17525, r17526, MPFR_RNDN); mpfr_add(r17528, r17523, r17526, MPFR_RNDN); mpfr_pow(r17529, r17527, r17528, MPFR_RNDN); mpfr_mul(r17530, r17520, r17529, MPFR_RNDN); mpfr_neg(r17531, r17527, MPFR_RNDN); mpfr_exp(r17532, r17531, MPFR_RNDN); mpfr_mul(r17533, r17530, r17532, MPFR_RNDN); ; ; mpfr_add(r17536, r17523, r17522, MPFR_RNDN); mpfr_div(r17537, r17535, r17536, MPFR_RNDN); mpfr_add(r17538, r17534, r17537, MPFR_RNDN); ; mpfr_add(r17540, r17523, r17518, MPFR_RNDN); mpfr_div(r17541, r17539, r17540, MPFR_RNDN); mpfr_add(r17542, r17538, r17541, MPFR_RNDN); ; ; mpfr_add(r17545, r17523, r17544, MPFR_RNDN); mpfr_div(r17546, r17543, r17545, MPFR_RNDN); mpfr_add(r17547, r17542, r17546, MPFR_RNDN); ; ; mpfr_add(r17550, r17523, r17549, MPFR_RNDN); mpfr_div(r17551, r17548, r17550, MPFR_RNDN); mpfr_add(r17552, r17547, r17551, MPFR_RNDN); ; ; mpfr_add(r17555, r17523, r17554, MPFR_RNDN); mpfr_div(r17556, r17553, r17555, MPFR_RNDN); mpfr_add(r17557, r17552, r17556, MPFR_RNDN); ; ; mpfr_add(r17560, r17523, r17559, MPFR_RNDN); mpfr_div(r17561, r17558, r17560, MPFR_RNDN); mpfr_add(r17562, r17557, r17561, MPFR_RNDN); ; mpfr_div(r17564, r17563, r17525, MPFR_RNDN); mpfr_add(r17565, r17562, r17564, MPFR_RNDN); ; ; mpfr_add(r17568, r17523, r17567, MPFR_RNDN); mpfr_div(r17569, r17566, r17568, MPFR_RNDN); mpfr_add(r17570, r17565, r17569, MPFR_RNDN); mpfr_mul(r17571, r17533, r17570, MPFR_RNDN); return mpfr_get_d(r17571, MPFR_RNDN); } static mpfr_t r17572, r17573, r17574, r17575, r17576, r17577, r17578, r17579, r17580, r17581, r17582, r17583, r17584, r17585, r17586, r17587, r17588, r17589, r17590, r17591, r17592, r17593, r17594, r17595, r17596, r17597, r17598, r17599, r17600, r17601, r17602, r17603, r17604, r17605, r17606, r17607, r17608, r17609, r17610, r17611, r17612, r17613, r17614, r17615; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17572, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17573); mpfr_init(r17574); mpfr_init_set_str(r17575, "1", 10, MPFR_RNDN); mpfr_init_set_str(r17576, "6.5", 10, MPFR_RNDN); mpfr_init_set_str(r17577, "1.0", 10, MPFR_RNDN); mpfr_init(r17578); mpfr_init(r17579); mpfr_init_set_str(r17580, "0.5", 10, MPFR_RNDN); mpfr_init(r17581); mpfr_init(r17582); mpfr_init(r17583); mpfr_init_set_str(r17584, "2", 10, MPFR_RNDN); mpfr_init(r17585); mpfr_init(r17586); mpfr_init(r17587); mpfr_init(r17588); mpfr_init(r17589); mpfr_init(r17590); mpfr_init(r17591); mpfr_init(r17592); mpfr_init_set_str(r17593, "338.26018406094255", 10, MPFR_RNDN); mpfr_init(r17594); mpfr_init(r17595); mpfr_init(r17596); mpfr_init(r17597); mpfr_init(r17598); mpfr_init(r17599); mpfr_init(r17600); mpfr_init_set_str(r17601, "1656.8104518737205", 10, MPFR_RNDN); mpfr_init(r17602); mpfr_init(r17603); mpfr_init(r17604); mpfr_init(r17605); mpfr_init(r17606); mpfr_init(r17607); mpfr_init_set_str(r17608, "2585.1948787825354", 10, MPFR_RNDN); mpfr_init(r17609); mpfr_init(r17610); mpfr_init(r17611); mpfr_init(r17612); mpfr_init(r17613); mpfr_init(r17614); mpfr_init(r17615); } double f_fm(double z) { ; mpfr_const_pi(r17573, MPFR_RNDN); mpfr_sqrt(r17574, r17573, MPFR_RNDN); ; ; ; mpfr_pow(r17578, r17576, r17577, MPFR_RNDN); mpfr_div(r17579, r17575, r17578, MPFR_RNDN); ; mpfr_pow(r17581, r17579, r17580, MPFR_RNDN); mpfr_mul(r17582, r17574, r17581, MPFR_RNDN); mpfr_log(r17583, r17576, MPFR_RNDN); ; mpfr_sqrt(r17585, r17584, MPFR_RNDN); mpfr_exp(r17586, r17576, MPFR_RNDN); mpfr_div(r17587, r17585, r17586, MPFR_RNDN); mpfr_mul(r17588, r17583, r17587, MPFR_RNDN); mpfr_set_d(r17589, z, MPFR_RNDN); mpfr_div(r17590, r17587, r17589, MPFR_RNDN); mpfr_add(r17591, r17588, r17590, MPFR_RNDN); mpfr_mul(r17592, r17582, r17591, MPFR_RNDN); ; mpfr_mul(r17594, r17585, r17589, MPFR_RNDN); mpfr_sqr(r17595, r17583, MPFR_RNDN); mpfr_div(r17596, r17586, r17595, MPFR_RNDN); mpfr_div(r17597, r17594, r17596, MPFR_RNDN); mpfr_mul(r17598, r17593, r17597, MPFR_RNDN); mpfr_mul(r17599, r17598, r17582, MPFR_RNDN); mpfr_fma(r17600, r17572, r17592, r17599, MPFR_RNDN); ; mpfr_mul(r17602, r17594, r17583, MPFR_RNDN); mpfr_div(r17603, r17602, r17586, MPFR_RNDN); mpfr_mul(r17604, r17574, r17587, MPFR_RNDN); mpfr_mul(r17605, r17604, r17581, MPFR_RNDN); mpfr_fma(r17606, r17603, r17582, r17605, MPFR_RNDN); mpfr_mul(r17607, r17601, r17606, MPFR_RNDN); ; mpfr_mul(r17609, r17589, r17574, MPFR_RNDN); mpfr_div(r17610, r17586, r17585, MPFR_RNDN); mpfr_div(r17611, r17609, r17610, MPFR_RNDN); mpfr_mul(r17612, r17581, r17611, MPFR_RNDN); mpfr_mul(r17613, r17608, r17612, MPFR_RNDN); mpfr_sub(r17614, r17607, r17613, MPFR_RNDN); mpfr_sub(r17615, r17600, r17614, MPFR_RNDN); return mpfr_get_d(r17615, MPFR_RNDN); } static mpfr_t r17616, r17617, r17618, r17619, r17620, r17621, r17622, r17623, r17624, r17625, r17626, r17627, r17628, r17629, r17630, r17631, r17632, r17633, r17634, r17635, r17636, r17637, r17638, r17639, r17640, r17641, r17642, r17643, r17644, r17645, r17646, r17647, r17648, r17649, r17650, r17651, r17652, r17653, r17654, r17655, r17656, r17657, r17658, r17659; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17616, "676.5203681218851", 10, MPFR_RNDN); mpfr_init(r17617); mpfr_init(r17618); mpfr_init_set_str(r17619, "1", 10, MPFR_RNDN); mpfr_init_set_str(r17620, "6.5", 10, MPFR_RNDN); mpfr_init_set_str(r17621, "1.0", 10, MPFR_RNDN); mpfr_init(r17622); mpfr_init(r17623); mpfr_init_set_str(r17624, "0.5", 10, MPFR_RNDN); mpfr_init(r17625); mpfr_init(r17626); mpfr_init(r17627); mpfr_init_set_str(r17628, "2", 10, MPFR_RNDN); mpfr_init(r17629); mpfr_init(r17630); mpfr_init(r17631); mpfr_init(r17632); mpfr_init(r17633); mpfr_init(r17634); mpfr_init(r17635); mpfr_init(r17636); mpfr_init_set_str(r17637, "338.26018406094255", 10, MPFR_RNDN); mpfr_init(r17638); mpfr_init(r17639); mpfr_init(r17640); mpfr_init(r17641); mpfr_init(r17642); mpfr_init(r17643); mpfr_init(r17644); mpfr_init_set_str(r17645, "1656.8104518737205", 10, MPFR_RNDN); mpfr_init(r17646); mpfr_init(r17647); mpfr_init(r17648); mpfr_init(r17649); mpfr_init(r17650); mpfr_init(r17651); mpfr_init_set_str(r17652, "2585.1948787825354", 10, MPFR_RNDN); mpfr_init(r17653); mpfr_init(r17654); mpfr_init(r17655); mpfr_init(r17656); mpfr_init(r17657); mpfr_init(r17658); mpfr_init(r17659); } double f_dm(double z) { ; mpfr_const_pi(r17617, MPFR_RNDN); mpfr_sqrt(r17618, r17617, MPFR_RNDN); ; ; ; mpfr_pow(r17622, r17620, r17621, MPFR_RNDN); mpfr_div(r17623, r17619, r17622, MPFR_RNDN); ; mpfr_pow(r17625, r17623, r17624, MPFR_RNDN); mpfr_mul(r17626, r17618, r17625, MPFR_RNDN); mpfr_log(r17627, r17620, MPFR_RNDN); ; mpfr_sqrt(r17629, r17628, MPFR_RNDN); mpfr_exp(r17630, r17620, MPFR_RNDN); mpfr_div(r17631, r17629, r17630, MPFR_RNDN); mpfr_mul(r17632, r17627, r17631, MPFR_RNDN); mpfr_set_d(r17633, z, MPFR_RNDN); mpfr_div(r17634, r17631, r17633, MPFR_RNDN); mpfr_add(r17635, r17632, r17634, MPFR_RNDN); mpfr_mul(r17636, r17626, r17635, MPFR_RNDN); ; mpfr_mul(r17638, r17629, r17633, MPFR_RNDN); mpfr_sqr(r17639, r17627, MPFR_RNDN); mpfr_div(r17640, r17630, r17639, MPFR_RNDN); mpfr_div(r17641, r17638, r17640, MPFR_RNDN); mpfr_mul(r17642, r17637, r17641, MPFR_RNDN); mpfr_mul(r17643, r17642, r17626, MPFR_RNDN); mpfr_fma(r17644, r17616, r17636, r17643, MPFR_RNDN); ; mpfr_mul(r17646, r17638, r17627, MPFR_RNDN); mpfr_div(r17647, r17646, r17630, MPFR_RNDN); mpfr_mul(r17648, r17618, r17631, MPFR_RNDN); mpfr_mul(r17649, r17648, r17625, MPFR_RNDN); mpfr_fma(r17650, r17647, r17626, r17649, MPFR_RNDN); mpfr_mul(r17651, r17645, r17650, MPFR_RNDN); ; mpfr_mul(r17653, r17633, r17618, MPFR_RNDN); mpfr_div(r17654, r17630, r17629, MPFR_RNDN); mpfr_div(r17655, r17653, r17654, MPFR_RNDN); mpfr_mul(r17656, r17625, r17655, MPFR_RNDN); mpfr_mul(r17657, r17652, r17656, MPFR_RNDN); mpfr_sub(r17658, r17651, r17657, MPFR_RNDN); mpfr_sub(r17659, r17644, r17658, MPFR_RNDN); return mpfr_get_d(r17659, MPFR_RNDN); }