#include #include #include #include #include char *name = "Jmat.Real.lambertw, newton loop step"; double f_if(float wj, float x) { float r19867 = wj; float r19868 = exp(r19867); float r19869 = r19867 * r19868; float r19870 = x; float r19871 = r19869 - r19870; float r19872 = r19868 + r19869; float r19873 = r19871 / r19872; float r19874 = r19867 - r19873; return r19874; } double f_id(double wj, double x) { double r19875 = wj; double r19876 = exp(r19875); double r19877 = r19875 * r19876; double r19878 = x; double r19879 = r19877 - r19878; double r19880 = r19876 + r19877; double r19881 = r19879 / r19880; double r19882 = r19875 - r19881; return r19882; } double f_of(float wj, float x) { float r19883 = wj; float r19884 = exp(r19883); float r19885 = r19883 * r19884; float r19886 = x; float r19887 = r19885 - r19886; float r19888 = r19884 + r19885; float r19889 = r19887 / r19888; float r19890 = r19883 - r19889; float r19891 = 3.691192269698134e-16f; bool r19892 = r19890 <= r19891; float r19893 = r19883 * r19883; float r19894 = r19893 + r19886; float r19895 = 2.0f; float r19896 = r19883 * r19886; float r19897 = r19895 * r19896; float r19898 = r19894 - r19897; float r19899 = 1.0f; float r19900 = r19899 + r19883; float r19901 = r19883 / r19900; float r19902 = r19883 - r19901; float r19903 = r19886 / r19888; float r19904 = r19902 + r19903; float r19905 = r19892 ? r19898 : r19904; return r19905; } double f_od(double wj, double x) { double r19906 = wj; double r19907 = exp(r19906); double r19908 = r19906 * r19907; double r19909 = x; double r19910 = r19908 - r19909; double r19911 = r19907 + r19908; double r19912 = r19910 / r19911; double r19913 = r19906 - r19912; double r19914 = 3.691192269698134e-16; bool r19915 = r19913 <= r19914; double r19916 = r19906 * r19906; double r19917 = r19916 + r19909; double r19918 = 2.0; double r19919 = r19906 * r19909; double r19920 = r19918 * r19919; double r19921 = r19917 - r19920; double r19922 = 1.0; double r19923 = r19922 + r19906; double r19924 = r19906 / r19923; double r19925 = r19906 - r19924; double r19926 = r19909 / r19911; double r19927 = r19925 + r19926; double r19928 = r19915 ? r19921 : r19927; return r19928; } 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 r19929, r19930, r19931, r19932, r19933, r19934, r19935, r19936; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r19929); mpfr_init(r19930); mpfr_init(r19931); mpfr_init(r19932); mpfr_init(r19933); mpfr_init(r19934); mpfr_init(r19935); mpfr_init(r19936); } double f_im(double wj, double x) { mpfr_set_d(r19929, wj, MPFR_RNDN); mpfr_exp(r19930, r19929, MPFR_RNDN); mpfr_mul(r19931, r19929, r19930, MPFR_RNDN); mpfr_set_d(r19932, x, MPFR_RNDN); mpfr_sub(r19933, r19931, r19932, MPFR_RNDN); mpfr_add(r19934, r19930, r19931, MPFR_RNDN); mpfr_div(r19935, r19933, r19934, MPFR_RNDN); mpfr_sub(r19936, r19929, r19935, MPFR_RNDN); return mpfr_get_d(r19936, MPFR_RNDN); } static mpfr_t r19937, r19938, r19939, r19940, r19941, r19942, r19943, r19944, r19945, r19946, r19947, r19948, r19949, r19950, r19951, r19952, r19953, r19954, r19955, r19956, r19957, r19958, r19959; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r19937); mpfr_init(r19938); mpfr_init(r19939); mpfr_init(r19940); mpfr_init(r19941); mpfr_init(r19942); mpfr_init(r19943); mpfr_init(r19944); mpfr_init_set_str(r19945, "3.691192269698134e-16", 10, MPFR_RNDN); mpfr_init(r19946); mpfr_init(r19947); mpfr_init(r19948); mpfr_init_set_str(r19949, "2", 10, MPFR_RNDN); mpfr_init(r19950); mpfr_init(r19951); mpfr_init(r19952); mpfr_init_set_str(r19953, "1", 10, MPFR_RNDN); mpfr_init(r19954); mpfr_init(r19955); mpfr_init(r19956); mpfr_init(r19957); mpfr_init(r19958); mpfr_init(r19959); } double f_fm(double wj, double x) { mpfr_set_d(r19937, wj, MPFR_RNDN); mpfr_exp(r19938, r19937, MPFR_RNDN); mpfr_mul(r19939, r19937, r19938, MPFR_RNDN); mpfr_set_d(r19940, x, MPFR_RNDN); mpfr_sub(r19941, r19939, r19940, MPFR_RNDN); mpfr_add(r19942, r19938, r19939, MPFR_RNDN); mpfr_div(r19943, r19941, r19942, MPFR_RNDN); mpfr_sub(r19944, r19937, r19943, MPFR_RNDN); ; mpfr_set_si(r19946, mpfr_cmp(r19944, r19945) <= 0, MPFR_RNDN); mpfr_sqr(r19947, r19937, MPFR_RNDN); mpfr_add(r19948, r19947, r19940, MPFR_RNDN); ; mpfr_mul(r19950, r19937, r19940, MPFR_RNDN); mpfr_mul(r19951, r19949, r19950, MPFR_RNDN); mpfr_sub(r19952, r19948, r19951, MPFR_RNDN); ; mpfr_add(r19954, r19953, r19937, MPFR_RNDN); mpfr_div(r19955, r19937, r19954, MPFR_RNDN); mpfr_sub(r19956, r19937, r19955, MPFR_RNDN); mpfr_div(r19957, r19940, r19942, MPFR_RNDN); mpfr_add(r19958, r19956, r19957, MPFR_RNDN); if (mpfr_get_si(r19946, MPFR_RNDN)) { mpfr_set(r19959, r19952, MPFR_RNDN); } else { mpfr_set(r19959, r19958, MPFR_RNDN); }; return mpfr_get_d(r19959, MPFR_RNDN); } static mpfr_t r19960, r19961, r19962, r19963, r19964, r19965, r19966, r19967, r19968, r19969, r19970, r19971, r19972, r19973, r19974, r19975, r19976, r19977, r19978, r19979, r19980, r19981, r19982; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r19960); mpfr_init(r19961); mpfr_init(r19962); mpfr_init(r19963); mpfr_init(r19964); mpfr_init(r19965); mpfr_init(r19966); mpfr_init(r19967); mpfr_init_set_str(r19968, "3.691192269698134e-16", 10, MPFR_RNDN); mpfr_init(r19969); mpfr_init(r19970); mpfr_init(r19971); mpfr_init_set_str(r19972, "2", 10, MPFR_RNDN); mpfr_init(r19973); mpfr_init(r19974); mpfr_init(r19975); mpfr_init_set_str(r19976, "1", 10, MPFR_RNDN); mpfr_init(r19977); mpfr_init(r19978); mpfr_init(r19979); mpfr_init(r19980); mpfr_init(r19981); mpfr_init(r19982); } double f_dm(double wj, double x) { mpfr_set_d(r19960, wj, MPFR_RNDN); mpfr_exp(r19961, r19960, MPFR_RNDN); mpfr_mul(r19962, r19960, r19961, MPFR_RNDN); mpfr_set_d(r19963, x, MPFR_RNDN); mpfr_sub(r19964, r19962, r19963, MPFR_RNDN); mpfr_add(r19965, r19961, r19962, MPFR_RNDN); mpfr_div(r19966, r19964, r19965, MPFR_RNDN); mpfr_sub(r19967, r19960, r19966, MPFR_RNDN); ; mpfr_set_si(r19969, mpfr_cmp(r19967, r19968) <= 0, MPFR_RNDN); mpfr_sqr(r19970, r19960, MPFR_RNDN); mpfr_add(r19971, r19970, r19963, MPFR_RNDN); ; mpfr_mul(r19973, r19960, r19963, MPFR_RNDN); mpfr_mul(r19974, r19972, r19973, MPFR_RNDN); mpfr_sub(r19975, r19971, r19974, MPFR_RNDN); ; mpfr_add(r19977, r19976, r19960, MPFR_RNDN); mpfr_div(r19978, r19960, r19977, MPFR_RNDN); mpfr_sub(r19979, r19960, r19978, MPFR_RNDN); mpfr_div(r19980, r19963, r19965, MPFR_RNDN); mpfr_add(r19981, r19979, r19980, MPFR_RNDN); if (mpfr_get_si(r19969, MPFR_RNDN)) { mpfr_set(r19982, r19975, MPFR_RNDN); } else { mpfr_set(r19982, r19981, MPFR_RNDN); }; return mpfr_get_d(r19982, MPFR_RNDN); }