#include #include #include #include #include char *name = "2tan (problem 3.3.2)"; double f_if(float x, float eps) { float r23047 = x; float r23048 = eps; float r23049 = r23047 + r23048; float r23050 = tan(r23049); float r23051 = tan(r23047); float r23052 = r23050 - r23051; return r23052; } double f_id(double x, double eps) { double r23053 = x; double r23054 = eps; double r23055 = r23053 + r23054; double r23056 = tan(r23055); double r23057 = tan(r23053); double r23058 = r23056 - r23057; return r23058; } double f_of(float x, float eps) { float r23059 = x; float r23060 = sin(r23059); float r23061 = cos(r23059); float r23062 = r23060 / r23061; float r23063 = r23062 * r23062; float r23064 = 1; float r23065 = eps; float r23066 = sin(r23065); float r23067 = r23066 / r23061; float r23068 = r23067 * r23067; float r23069 = cos(r23065); float r23070 = r23060 / r23069; float r23071 = r23070 * r23070; float r23072 = r23068 * r23071; float r23073 = r23064 - r23072; float r23074 = r23063 / r23073; float r23075 = r23066 / r23069; float r23076 = r23075 / r23073; float r23077 = fma(r23074, r23075, r23076); float r23078 = fma(r23075, r23075, r23064); float r23079 = r23078 * r23062; float r23080 = r23079 / r23073; float r23081 = r23080 - r23062; float r23082 = r23077 + r23081; return r23082; } double f_od(double x, double eps) { double r23083 = x; double r23084 = sin(r23083); double r23085 = cos(r23083); double r23086 = r23084 / r23085; double r23087 = r23086 * r23086; double r23088 = 1; double r23089 = eps; double r23090 = sin(r23089); double r23091 = r23090 / r23085; double r23092 = r23091 * r23091; double r23093 = cos(r23089); double r23094 = r23084 / r23093; double r23095 = r23094 * r23094; double r23096 = r23092 * r23095; double r23097 = r23088 - r23096; double r23098 = r23087 / r23097; double r23099 = r23090 / r23093; double r23100 = r23099 / r23097; double r23101 = fma(r23098, r23099, r23100); double r23102 = fma(r23099, r23099, r23088); double r23103 = r23102 * r23086; double r23104 = r23103 / r23097; double r23105 = r23104 - r23086; double r23106 = r23101 + r23105; return r23106; } 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 r23107, r23108, r23109, r23110, r23111, r23112; void setup_mpfr_f_im() { mpfr_set_default_prec(2384); mpfr_init(r23107); mpfr_init(r23108); mpfr_init(r23109); mpfr_init(r23110); mpfr_init(r23111); mpfr_init(r23112); } double f_im(double x, double eps) { mpfr_set_d(r23107, x, MPFR_RNDN); mpfr_set_d(r23108, eps, MPFR_RNDN); mpfr_add(r23109, r23107, r23108, MPFR_RNDN); mpfr_tan(r23110, r23109, MPFR_RNDN); mpfr_tan(r23111, r23107, MPFR_RNDN); mpfr_sub(r23112, r23110, r23111, MPFR_RNDN); return mpfr_get_d(r23112, MPFR_RNDN); } static mpfr_t r23113, r23114, r23115, r23116, r23117, r23118, r23119, r23120, r23121, r23122, r23123, r23124, r23125, r23126, r23127, r23128, r23129, r23130, r23131, r23132, r23133, r23134, r23135, r23136; void setup_mpfr_f_fm() { mpfr_set_default_prec(2384); mpfr_init(r23113); mpfr_init(r23114); mpfr_init(r23115); mpfr_init(r23116); mpfr_init(r23117); mpfr_init_set_str(r23118, "1", 10, MPFR_RNDN); mpfr_init(r23119); mpfr_init(r23120); mpfr_init(r23121); mpfr_init(r23122); mpfr_init(r23123); mpfr_init(r23124); mpfr_init(r23125); mpfr_init(r23126); mpfr_init(r23127); mpfr_init(r23128); mpfr_init(r23129); mpfr_init(r23130); mpfr_init(r23131); mpfr_init(r23132); mpfr_init(r23133); mpfr_init(r23134); mpfr_init(r23135); mpfr_init(r23136); } double f_fm(double x, double eps) { mpfr_set_d(r23113, x, MPFR_RNDN); mpfr_sin(r23114, r23113, MPFR_RNDN); mpfr_cos(r23115, r23113, MPFR_RNDN); mpfr_div(r23116, r23114, r23115, MPFR_RNDN); mpfr_mul(r23117, r23116, r23116, MPFR_RNDN); ; mpfr_set_d(r23119, eps, MPFR_RNDN); mpfr_sin(r23120, r23119, MPFR_RNDN); mpfr_div(r23121, r23120, r23115, MPFR_RNDN); mpfr_mul(r23122, r23121, r23121, MPFR_RNDN); mpfr_cos(r23123, r23119, MPFR_RNDN); mpfr_div(r23124, r23114, r23123, MPFR_RNDN); mpfr_mul(r23125, r23124, r23124, MPFR_RNDN); mpfr_mul(r23126, r23122, r23125, MPFR_RNDN); mpfr_sub(r23127, r23118, r23126, MPFR_RNDN); mpfr_div(r23128, r23117, r23127, MPFR_RNDN); mpfr_div(r23129, r23120, r23123, MPFR_RNDN); mpfr_div(r23130, r23129, r23127, MPFR_RNDN); mpfr_fma(r23131, r23128, r23129, r23130, MPFR_RNDN); mpfr_fma(r23132, r23129, r23129, r23118, MPFR_RNDN); mpfr_mul(r23133, r23132, r23116, MPFR_RNDN); mpfr_div(r23134, r23133, r23127, MPFR_RNDN); mpfr_sub(r23135, r23134, r23116, MPFR_RNDN); mpfr_add(r23136, r23131, r23135, MPFR_RNDN); return mpfr_get_d(r23136, MPFR_RNDN); } static mpfr_t r23137, r23138, r23139, r23140, r23141, r23142, r23143, r23144, r23145, r23146, r23147, r23148, r23149, r23150, r23151, r23152, r23153, r23154, r23155, r23156, r23157, r23158, r23159, r23160; void setup_mpfr_f_dm() { mpfr_set_default_prec(2384); mpfr_init(r23137); mpfr_init(r23138); mpfr_init(r23139); mpfr_init(r23140); mpfr_init(r23141); mpfr_init_set_str(r23142, "1", 10, MPFR_RNDN); mpfr_init(r23143); mpfr_init(r23144); mpfr_init(r23145); mpfr_init(r23146); mpfr_init(r23147); mpfr_init(r23148); mpfr_init(r23149); mpfr_init(r23150); mpfr_init(r23151); mpfr_init(r23152); mpfr_init(r23153); mpfr_init(r23154); mpfr_init(r23155); mpfr_init(r23156); mpfr_init(r23157); mpfr_init(r23158); mpfr_init(r23159); mpfr_init(r23160); } double f_dm(double x, double eps) { mpfr_set_d(r23137, x, MPFR_RNDN); mpfr_sin(r23138, r23137, MPFR_RNDN); mpfr_cos(r23139, r23137, MPFR_RNDN); mpfr_div(r23140, r23138, r23139, MPFR_RNDN); mpfr_mul(r23141, r23140, r23140, MPFR_RNDN); ; mpfr_set_d(r23143, eps, MPFR_RNDN); mpfr_sin(r23144, r23143, MPFR_RNDN); mpfr_div(r23145, r23144, r23139, MPFR_RNDN); mpfr_mul(r23146, r23145, r23145, MPFR_RNDN); mpfr_cos(r23147, r23143, MPFR_RNDN); mpfr_div(r23148, r23138, r23147, MPFR_RNDN); mpfr_mul(r23149, r23148, r23148, MPFR_RNDN); mpfr_mul(r23150, r23146, r23149, MPFR_RNDN); mpfr_sub(r23151, r23142, r23150, MPFR_RNDN); mpfr_div(r23152, r23141, r23151, MPFR_RNDN); mpfr_div(r23153, r23144, r23147, MPFR_RNDN); mpfr_div(r23154, r23153, r23151, MPFR_RNDN); mpfr_fma(r23155, r23152, r23153, r23154, MPFR_RNDN); mpfr_fma(r23156, r23153, r23153, r23142, MPFR_RNDN); mpfr_mul(r23157, r23156, r23140, MPFR_RNDN); mpfr_div(r23158, r23157, r23151, MPFR_RNDN); mpfr_sub(r23159, r23158, r23140, MPFR_RNDN); mpfr_add(r23160, r23155, r23159, MPFR_RNDN); return mpfr_get_d(r23160, MPFR_RNDN); }