#include #include #include #include #include char *name = "VandenBroeck and Keller, Equation (20)"; double f_if(float f) { float r22000 = 1; float r22001 = atan2(1.0, 0.0); float r22002 = 4; float r22003 = r22001 / r22002; float r22004 = r22000 / r22003; float r22005 = f; float r22006 = r22003 * r22005; float r22007 = exp(r22006); float r22008 = -r22006; float r22009 = exp(r22008); float r22010 = r22007 + r22009; float r22011 = r22007 - r22009; float r22012 = r22010 / r22011; float r22013 = log(r22012); float r22014 = r22004 * r22013; float r22015 = -r22014; return r22015; } double f_id(double f) { double r22016 = 1; double r22017 = atan2(1.0, 0.0); double r22018 = 4; double r22019 = r22017 / r22018; double r22020 = r22016 / r22019; double r22021 = f; double r22022 = r22019 * r22021; double r22023 = exp(r22022); double r22024 = -r22022; double r22025 = exp(r22024); double r22026 = r22023 + r22025; double r22027 = r22023 - r22025; double r22028 = r22026 / r22027; double r22029 = log(r22028); double r22030 = r22020 * r22029; double r22031 = -r22030; return r22031; } double f_of(float f) { float r22032 = 4; float r22033 = atan2(1.0, 0.0); float r22034 = r22032 / r22033; float r22035 = log(r22034); float r22036 = r22035 / r22033; float r22037 = r22032 * r22036; float r22038 = 1/12; float r22039 = f; float r22040 = 2; float r22041 = pow(r22039, r22040); float r22042 = r22033 * r22041; float r22043 = r22038 * r22042; float r22044 = r22037 + r22043; float r22045 = 7/5760; float r22046 = 3; float r22047 = pow(r22033, r22046); float r22048 = log1p(r22047); float r22049 = expm1(r22048); float r22050 = pow(r22039, r22032); float r22051 = r22049 * r22050; float r22052 = r22045 * r22051; float r22053 = log(r22039); float r22054 = r22053 / r22033; float r22055 = r22032 * r22054; float r22056 = r22052 + r22055; float r22057 = r22044 - r22056; float r22058 = -r22057; return r22058; } double f_od(double f) { double r22059 = 4; double r22060 = atan2(1.0, 0.0); double r22061 = r22059 / r22060; double r22062 = log(r22061); double r22063 = r22062 / r22060; double r22064 = r22059 * r22063; double r22065 = 1/12; double r22066 = f; double r22067 = 2; double r22068 = pow(r22066, r22067); double r22069 = r22060 * r22068; double r22070 = r22065 * r22069; double r22071 = r22064 + r22070; double r22072 = 7/5760; double r22073 = 3; double r22074 = pow(r22060, r22073); double r22075 = log1p(r22074); double r22076 = expm1(r22075); double r22077 = pow(r22066, r22059); double r22078 = r22076 * r22077; double r22079 = r22072 * r22078; double r22080 = log(r22066); double r22081 = r22080 / r22060; double r22082 = r22059 * r22081; double r22083 = r22079 + r22082; double r22084 = r22071 - r22083; double r22085 = -r22084; return r22085; } 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 r22086, r22087, r22088, r22089, r22090, r22091, r22092, r22093, r22094, r22095, r22096, r22097, r22098, r22099, r22100, r22101; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22086, "1", 10, MPFR_RNDN); mpfr_init(r22087); mpfr_init_set_str(r22088, "4", 10, MPFR_RNDN); mpfr_init(r22089); mpfr_init(r22090); mpfr_init(r22091); mpfr_init(r22092); mpfr_init(r22093); mpfr_init(r22094); mpfr_init(r22095); mpfr_init(r22096); mpfr_init(r22097); mpfr_init(r22098); mpfr_init(r22099); mpfr_init(r22100); mpfr_init(r22101); } double f_im(double f) { ; mpfr_const_pi(r22087, MPFR_RNDN); ; mpfr_div(r22089, r22087, r22088, MPFR_RNDN); mpfr_div(r22090, r22086, r22089, MPFR_RNDN); mpfr_set_d(r22091, f, MPFR_RNDN); mpfr_mul(r22092, r22089, r22091, MPFR_RNDN); mpfr_exp(r22093, r22092, MPFR_RNDN); mpfr_neg(r22094, r22092, MPFR_RNDN); mpfr_exp(r22095, r22094, MPFR_RNDN); mpfr_add(r22096, r22093, r22095, MPFR_RNDN); mpfr_sub(r22097, r22093, r22095, MPFR_RNDN); mpfr_div(r22098, r22096, r22097, MPFR_RNDN); mpfr_log(r22099, r22098, MPFR_RNDN); mpfr_mul(r22100, r22090, r22099, MPFR_RNDN); mpfr_neg(r22101, r22100, MPFR_RNDN); return mpfr_get_d(r22101, MPFR_RNDN); } static mpfr_t r22102, r22103, r22104, r22105, r22106, r22107, r22108, r22109, r22110, r22111, r22112, r22113, r22114, r22115, r22116, r22117, r22118, r22119, r22120, r22121, r22122, r22123, r22124, r22125, r22126, r22127, r22128; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22102, "4", 10, MPFR_RNDN); mpfr_init(r22103); mpfr_init(r22104); mpfr_init(r22105); mpfr_init(r22106); mpfr_init(r22107); mpfr_init_set_str(r22108, "1/12", 10, MPFR_RNDN); mpfr_init(r22109); mpfr_init_set_str(r22110, "2", 10, MPFR_RNDN); mpfr_init(r22111); mpfr_init(r22112); mpfr_init(r22113); mpfr_init(r22114); mpfr_init_set_str(r22115, "7/5760", 10, MPFR_RNDN); mpfr_init_set_str(r22116, "3", 10, MPFR_RNDN); mpfr_init(r22117); mpfr_init(r22118); mpfr_init(r22119); mpfr_init(r22120); mpfr_init(r22121); mpfr_init(r22122); mpfr_init(r22123); mpfr_init(r22124); mpfr_init(r22125); mpfr_init(r22126); mpfr_init(r22127); mpfr_init(r22128); } double f_fm(double f) { ; mpfr_const_pi(r22103, MPFR_RNDN); mpfr_div(r22104, r22102, r22103, MPFR_RNDN); mpfr_log(r22105, r22104, MPFR_RNDN); mpfr_div(r22106, r22105, r22103, MPFR_RNDN); mpfr_mul(r22107, r22102, r22106, MPFR_RNDN); ; mpfr_set_d(r22109, f, MPFR_RNDN); ; mpfr_pow(r22111, r22109, r22110, MPFR_RNDN); mpfr_mul(r22112, r22103, r22111, MPFR_RNDN); mpfr_mul(r22113, r22108, r22112, MPFR_RNDN); mpfr_add(r22114, r22107, r22113, MPFR_RNDN); ; ; mpfr_pow(r22117, r22103, r22116, MPFR_RNDN); mpfr_log1p(r22118, r22117, MPFR_RNDN); mpfr_expm1(r22119, r22118, MPFR_RNDN); mpfr_pow(r22120, r22109, r22102, MPFR_RNDN); mpfr_mul(r22121, r22119, r22120, MPFR_RNDN); mpfr_mul(r22122, r22115, r22121, MPFR_RNDN); mpfr_log(r22123, r22109, MPFR_RNDN); mpfr_div(r22124, r22123, r22103, MPFR_RNDN); mpfr_mul(r22125, r22102, r22124, MPFR_RNDN); mpfr_add(r22126, r22122, r22125, MPFR_RNDN); mpfr_sub(r22127, r22114, r22126, MPFR_RNDN); mpfr_neg(r22128, r22127, MPFR_RNDN); return mpfr_get_d(r22128, MPFR_RNDN); } static mpfr_t r22129, r22130, r22131, r22132, r22133, r22134, r22135, r22136, r22137, r22138, r22139, r22140, r22141, r22142, r22143, r22144, r22145, r22146, r22147, r22148, r22149, r22150, r22151, r22152, r22153, r22154, r22155; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22129, "4", 10, MPFR_RNDN); mpfr_init(r22130); mpfr_init(r22131); mpfr_init(r22132); mpfr_init(r22133); mpfr_init(r22134); mpfr_init_set_str(r22135, "1/12", 10, MPFR_RNDN); mpfr_init(r22136); mpfr_init_set_str(r22137, "2", 10, MPFR_RNDN); mpfr_init(r22138); mpfr_init(r22139); mpfr_init(r22140); mpfr_init(r22141); mpfr_init_set_str(r22142, "7/5760", 10, MPFR_RNDN); mpfr_init_set_str(r22143, "3", 10, MPFR_RNDN); mpfr_init(r22144); mpfr_init(r22145); mpfr_init(r22146); mpfr_init(r22147); mpfr_init(r22148); mpfr_init(r22149); mpfr_init(r22150); mpfr_init(r22151); mpfr_init(r22152); mpfr_init(r22153); mpfr_init(r22154); mpfr_init(r22155); } double f_dm(double f) { ; mpfr_const_pi(r22130, MPFR_RNDN); mpfr_div(r22131, r22129, r22130, MPFR_RNDN); mpfr_log(r22132, r22131, MPFR_RNDN); mpfr_div(r22133, r22132, r22130, MPFR_RNDN); mpfr_mul(r22134, r22129, r22133, MPFR_RNDN); ; mpfr_set_d(r22136, f, MPFR_RNDN); ; mpfr_pow(r22138, r22136, r22137, MPFR_RNDN); mpfr_mul(r22139, r22130, r22138, MPFR_RNDN); mpfr_mul(r22140, r22135, r22139, MPFR_RNDN); mpfr_add(r22141, r22134, r22140, MPFR_RNDN); ; ; mpfr_pow(r22144, r22130, r22143, MPFR_RNDN); mpfr_log1p(r22145, r22144, MPFR_RNDN); mpfr_expm1(r22146, r22145, MPFR_RNDN); mpfr_pow(r22147, r22136, r22129, MPFR_RNDN); mpfr_mul(r22148, r22146, r22147, MPFR_RNDN); mpfr_mul(r22149, r22142, r22148, MPFR_RNDN); mpfr_log(r22150, r22136, MPFR_RNDN); mpfr_div(r22151, r22150, r22130, MPFR_RNDN); mpfr_mul(r22152, r22129, r22151, MPFR_RNDN); mpfr_add(r22153, r22149, r22152, MPFR_RNDN); mpfr_sub(r22154, r22141, r22153, MPFR_RNDN); mpfr_neg(r22155, r22154, MPFR_RNDN); return mpfr_get_d(r22155, MPFR_RNDN); }