#include #include #include #include #include char *name = "Bouland and Aaronson, Equation (25)"; double f_if(float a, float b) { float r17043 = a; float r17044 = r17043 * r17043; float r17045 = b; float r17046 = r17045 * r17045; float r17047 = r17044 + r17046; float r17048 = r17047 * r17047; float r17049 = 4.0f; float r17050 = 1.0f; float r17051 = r17050 + r17043; float r17052 = r17044 * r17051; float r17053 = 3.0f; float r17054 = r17053 * r17043; float r17055 = r17050 - r17054; float r17056 = r17046 * r17055; float r17057 = r17052 + r17056; float r17058 = r17049 * r17057; float r17059 = r17048 + r17058; float r17060 = r17059 - r17050; return r17060; } double f_id(double a, double b) { double r17061 = a; double r17062 = r17061 * r17061; double r17063 = b; double r17064 = r17063 * r17063; double r17065 = r17062 + r17064; double r17066 = r17065 * r17065; double r17067 = 4.0; double r17068 = 1.0; double r17069 = r17068 + r17061; double r17070 = r17062 * r17069; double r17071 = 3.0; double r17072 = r17071 * r17061; double r17073 = r17068 - r17072; double r17074 = r17064 * r17073; double r17075 = r17070 + r17074; double r17076 = r17067 * r17075; double r17077 = r17066 + r17076; double r17078 = r17077 - r17068; return r17078; } double f_of(float a, float b) { float r17079 = 1.0f; float r17080 = a; float r17081 = 3.0f; float r17082 = r17080 * r17081; float r17083 = r17079 - r17082; float r17084 = b; float r17085 = r17084 * r17084; float r17086 = fma(r17080, r17080, r17080); float r17087 = r17086 * r17080; float r17088 = fma(r17083, r17085, r17087); float r17089 = 4.0f; float r17090 = 2.0f; float r17091 = r17084 * r17090; float r17092 = r17091 * r17084; float r17093 = r17080 * r17080; float r17094 = pow(r17080, r17089); float r17095 = pow(r17084, r17089); float r17096 = r17094 + r17095; float r17097 = fma(r17092, r17093, r17096); float r17098 = fma(r17088, r17089, r17097); float r17099 = r17098 - r17079; return r17099; } double f_od(double a, double b) { double r17100 = 1.0; double r17101 = a; double r17102 = 3.0; double r17103 = r17101 * r17102; double r17104 = r17100 - r17103; double r17105 = b; double r17106 = r17105 * r17105; double r17107 = fma(r17101, r17101, r17101); double r17108 = r17107 * r17101; double r17109 = fma(r17104, r17106, r17108); double r17110 = 4.0; double r17111 = 2.0; double r17112 = r17105 * r17111; double r17113 = r17112 * r17105; double r17114 = r17101 * r17101; double r17115 = pow(r17101, r17110); double r17116 = pow(r17105, r17110); double r17117 = r17115 + r17116; double r17118 = fma(r17113, r17114, r17117); double r17119 = fma(r17109, r17110, r17118); double r17120 = r17119 - r17100; return r17120; } 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 r17121, r17122, r17123, r17124, r17125, r17126, r17127, r17128, r17129, r17130, r17131, r17132, r17133, r17134, r17135, r17136, r17137, r17138; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17121); mpfr_init(r17122); mpfr_init(r17123); mpfr_init(r17124); mpfr_init(r17125); mpfr_init(r17126); mpfr_init_set_str(r17127, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17128, "1", 10, MPFR_RNDN); mpfr_init(r17129); mpfr_init(r17130); mpfr_init_set_str(r17131, "3", 10, MPFR_RNDN); mpfr_init(r17132); mpfr_init(r17133); mpfr_init(r17134); mpfr_init(r17135); mpfr_init(r17136); mpfr_init(r17137); mpfr_init(r17138); } double f_im(double a, double b) { mpfr_set_d(r17121, a, MPFR_RNDN); mpfr_sqr(r17122, r17121, MPFR_RNDN); mpfr_set_d(r17123, b, MPFR_RNDN); mpfr_sqr(r17124, r17123, MPFR_RNDN); mpfr_add(r17125, r17122, r17124, MPFR_RNDN); mpfr_sqr(r17126, r17125, MPFR_RNDN); ; ; mpfr_add(r17129, r17128, r17121, MPFR_RNDN); mpfr_mul(r17130, r17122, r17129, MPFR_RNDN); ; mpfr_mul(r17132, r17131, r17121, MPFR_RNDN); mpfr_sub(r17133, r17128, r17132, MPFR_RNDN); mpfr_mul(r17134, r17124, r17133, MPFR_RNDN); mpfr_add(r17135, r17130, r17134, MPFR_RNDN); mpfr_mul(r17136, r17127, r17135, MPFR_RNDN); mpfr_add(r17137, r17126, r17136, MPFR_RNDN); mpfr_sub(r17138, r17137, r17128, MPFR_RNDN); return mpfr_get_d(r17138, MPFR_RNDN); } static mpfr_t r17139, r17140, r17141, r17142, r17143, r17144, r17145, r17146, r17147, r17148, r17149, r17150, r17151, r17152, r17153, r17154, r17155, r17156, r17157, r17158, r17159; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17139, "1", 10, MPFR_RNDN); mpfr_init(r17140); mpfr_init_set_str(r17141, "3", 10, MPFR_RNDN); mpfr_init(r17142); mpfr_init(r17143); mpfr_init(r17144); mpfr_init(r17145); mpfr_init(r17146); mpfr_init(r17147); mpfr_init(r17148); mpfr_init_set_str(r17149, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17150, "2", 10, MPFR_RNDN); mpfr_init(r17151); mpfr_init(r17152); mpfr_init(r17153); mpfr_init(r17154); mpfr_init(r17155); mpfr_init(r17156); mpfr_init(r17157); mpfr_init(r17158); mpfr_init(r17159); } double f_fm(double a, double b) { ; mpfr_set_d(r17140, a, MPFR_RNDN); ; mpfr_mul(r17142, r17140, r17141, MPFR_RNDN); mpfr_sub(r17143, r17139, r17142, MPFR_RNDN); mpfr_set_d(r17144, b, MPFR_RNDN); mpfr_sqr(r17145, r17144, MPFR_RNDN); mpfr_fma(r17146, r17140, r17140, r17140, MPFR_RNDN); mpfr_mul(r17147, r17146, r17140, MPFR_RNDN); mpfr_fma(r17148, r17143, r17145, r17147, MPFR_RNDN); ; ; mpfr_mul(r17151, r17144, r17150, MPFR_RNDN); mpfr_mul(r17152, r17151, r17144, MPFR_RNDN); mpfr_mul(r17153, r17140, r17140, MPFR_RNDN); mpfr_pow(r17154, r17140, r17149, MPFR_RNDN); mpfr_pow(r17155, r17144, r17149, MPFR_RNDN); mpfr_add(r17156, r17154, r17155, MPFR_RNDN); mpfr_fma(r17157, r17152, r17153, r17156, MPFR_RNDN); mpfr_fma(r17158, r17148, r17149, r17157, MPFR_RNDN); mpfr_sub(r17159, r17158, r17139, MPFR_RNDN); return mpfr_get_d(r17159, MPFR_RNDN); } static mpfr_t r17160, r17161, r17162, r17163, r17164, r17165, r17166, r17167, r17168, r17169, r17170, r17171, r17172, r17173, r17174, r17175, r17176, r17177, r17178, r17179, r17180; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init_set_str(r17160, "1", 10, MPFR_RNDN); mpfr_init(r17161); mpfr_init_set_str(r17162, "3", 10, MPFR_RNDN); mpfr_init(r17163); mpfr_init(r17164); mpfr_init(r17165); mpfr_init(r17166); mpfr_init(r17167); mpfr_init(r17168); mpfr_init(r17169); mpfr_init_set_str(r17170, "4", 10, MPFR_RNDN); mpfr_init_set_str(r17171, "2", 10, MPFR_RNDN); mpfr_init(r17172); mpfr_init(r17173); mpfr_init(r17174); mpfr_init(r17175); mpfr_init(r17176); mpfr_init(r17177); mpfr_init(r17178); mpfr_init(r17179); mpfr_init(r17180); } double f_dm(double a, double b) { ; mpfr_set_d(r17161, a, MPFR_RNDN); ; mpfr_mul(r17163, r17161, r17162, MPFR_RNDN); mpfr_sub(r17164, r17160, r17163, MPFR_RNDN); mpfr_set_d(r17165, b, MPFR_RNDN); mpfr_sqr(r17166, r17165, MPFR_RNDN); mpfr_fma(r17167, r17161, r17161, r17161, MPFR_RNDN); mpfr_mul(r17168, r17167, r17161, MPFR_RNDN); mpfr_fma(r17169, r17164, r17166, r17168, MPFR_RNDN); ; ; mpfr_mul(r17172, r17165, r17171, MPFR_RNDN); mpfr_mul(r17173, r17172, r17165, MPFR_RNDN); mpfr_mul(r17174, r17161, r17161, MPFR_RNDN); mpfr_pow(r17175, r17161, r17170, MPFR_RNDN); mpfr_pow(r17176, r17165, r17170, MPFR_RNDN); mpfr_add(r17177, r17175, r17176, MPFR_RNDN); mpfr_fma(r17178, r17173, r17174, r17177, MPFR_RNDN); mpfr_fma(r17179, r17169, r17170, r17178, MPFR_RNDN); mpfr_sub(r17180, r17179, r17160, MPFR_RNDN); return mpfr_get_d(r17180, MPFR_RNDN); }