#include #include #include #include #include char *name = "Kahan's exp quotient"; double f_if(float x) { float r23213 = x; float r23214 = exp(r23213); float r23215 = 1; float r23216 = r23214 - r23215; float r23217 = r23216 / r23213; return r23217; } double f_id(double x) { double r23218 = x; double r23219 = exp(r23218); double r23220 = 1; double r23221 = r23219 - r23220; double r23222 = r23221 / r23218; return r23222; } double f_of(float x) { float r23223 = x; float r23224 = r23223 * r23223; float r23225 = 1/2; float r23226 = 1/6; float r23227 = r23226 * r23223; float r23228 = r23225 + r23227; float r23229 = r23224 * r23228; float r23230 = r23223 + r23229; float r23231 = cbrt(r23230); float r23232 = r23231 * r23231; float r23233 = r23228 * r23224; float r23234 = r23233 + r23223; float r23235 = cbrt(r23234); float r23236 = r23232 * r23235; float r23237 = r23236 / r23223; float r23238 = 1.0003310484970922; bool r23239 = r23237 <= r23238; float r23240 = r23223 * r23226; float r23241 = r23240 * r23223; float r23242 = 1; float r23243 = r23225 * r23223; float r23244 = r23242 + r23243; float r23245 = r23241 + r23244; float r23246 = 3; float r23247 = pow(r23245, r23246); float r23248 = cbrt(r23247); float r23249 = r23223 + r23223; float r23250 = exp(r23249); float r23251 = r23250 - r23242; float r23252 = exp(r23223); float r23253 = r23252 + r23242; float r23254 = r23251 / r23253; float r23255 = r23254 / r23223; float r23256 = r23239 ? r23248 : r23255; return r23256; } double f_od(double x) { double r23257 = x; double r23258 = r23257 * r23257; double r23259 = 1/2; double r23260 = 1/6; double r23261 = r23260 * r23257; double r23262 = r23259 + r23261; double r23263 = r23258 * r23262; double r23264 = r23257 + r23263; double r23265 = cbrt(r23264); double r23266 = r23265 * r23265; double r23267 = r23262 * r23258; double r23268 = r23267 + r23257; double r23269 = cbrt(r23268); double r23270 = r23266 * r23269; double r23271 = r23270 / r23257; double r23272 = 1.0003310484970922; bool r23273 = r23271 <= r23272; double r23274 = r23257 * r23260; double r23275 = r23274 * r23257; double r23276 = 1; double r23277 = r23259 * r23257; double r23278 = r23276 + r23277; double r23279 = r23275 + r23278; double r23280 = 3; double r23281 = pow(r23279, r23280); double r23282 = cbrt(r23281); double r23283 = r23257 + r23257; double r23284 = exp(r23283); double r23285 = r23284 - r23276; double r23286 = exp(r23257); double r23287 = r23286 + r23276; double r23288 = r23285 / r23287; double r23289 = r23288 / r23257; double r23290 = r23273 ? r23282 : r23289; return r23290; } 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 r23291, r23292, r23293, r23294, r23295; void setup_mpfr_f_im() { mpfr_set_default_prec(4112); mpfr_init(r23291); mpfr_init(r23292); mpfr_init_set_str(r23293, "1", 10, MPFR_RNDN); mpfr_init(r23294); mpfr_init(r23295); } double f_im(double x) { mpfr_set_d(r23291, x, MPFR_RNDN); mpfr_exp(r23292, r23291, MPFR_RNDN); ; mpfr_sub(r23294, r23292, r23293, MPFR_RNDN); mpfr_div(r23295, r23294, r23291, MPFR_RNDN); return mpfr_get_d(r23295, MPFR_RNDN); } static mpfr_t r23296, r23297, r23298, r23299, r23300, r23301, r23302, r23303, r23304, r23305, r23306, r23307, r23308, r23309, r23310, r23311, r23312, r23313, r23314, r23315, r23316, r23317, r23318, r23319, r23320, r23321, r23322, r23323, r23324, r23325, r23326, r23327, r23328, r23329; void setup_mpfr_f_fm() { mpfr_set_default_prec(4112); mpfr_init(r23296); mpfr_init(r23297); mpfr_init_set_str(r23298, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r23299, "1/6", 10, MPFR_RNDN); mpfr_init(r23300); mpfr_init(r23301); mpfr_init(r23302); mpfr_init(r23303); mpfr_init(r23304); mpfr_init(r23305); mpfr_init(r23306); mpfr_init(r23307); mpfr_init(r23308); mpfr_init(r23309); mpfr_init(r23310); mpfr_init_set_str(r23311, "1.0003310484970922", 10, MPFR_RNDN); mpfr_init(r23312); mpfr_init(r23313); mpfr_init(r23314); mpfr_init_set_str(r23315, "1", 10, MPFR_RNDN); mpfr_init(r23316); mpfr_init(r23317); mpfr_init(r23318); mpfr_init_set_str(r23319, "3", 10, MPFR_RNDN); mpfr_init(r23320); mpfr_init(r23321); mpfr_init(r23322); mpfr_init(r23323); mpfr_init(r23324); mpfr_init(r23325); mpfr_init(r23326); mpfr_init(r23327); mpfr_init(r23328); mpfr_init(r23329); } double f_fm(double x) { mpfr_set_d(r23296, x, MPFR_RNDN); mpfr_mul(r23297, r23296, r23296, MPFR_RNDN); ; ; mpfr_mul(r23300, r23299, r23296, MPFR_RNDN); mpfr_add(r23301, r23298, r23300, MPFR_RNDN); mpfr_mul(r23302, r23297, r23301, MPFR_RNDN); mpfr_add(r23303, r23296, r23302, MPFR_RNDN); mpfr_cbrt(r23304, r23303, MPFR_RNDN); mpfr_mul(r23305, r23304, r23304, MPFR_RNDN); mpfr_mul(r23306, r23301, r23297, MPFR_RNDN); mpfr_add(r23307, r23306, r23296, MPFR_RNDN); mpfr_cbrt(r23308, r23307, MPFR_RNDN); mpfr_mul(r23309, r23305, r23308, MPFR_RNDN); mpfr_div(r23310, r23309, r23296, MPFR_RNDN); ; mpfr_set_si(r23312, mpfr_cmp(r23310, r23311) <= 0, MPFR_RNDN); mpfr_mul(r23313, r23296, r23299, MPFR_RNDN); mpfr_mul(r23314, r23313, r23296, MPFR_RNDN); ; mpfr_mul(r23316, r23298, r23296, MPFR_RNDN); mpfr_add(r23317, r23315, r23316, MPFR_RNDN); mpfr_add(r23318, r23314, r23317, MPFR_RNDN); ; mpfr_pow(r23320, r23318, r23319, MPFR_RNDN); mpfr_cbrt(r23321, r23320, MPFR_RNDN); mpfr_add(r23322, r23296, r23296, MPFR_RNDN); mpfr_exp(r23323, r23322, MPFR_RNDN); mpfr_sub(r23324, r23323, r23315, MPFR_RNDN); mpfr_exp(r23325, r23296, MPFR_RNDN); mpfr_add(r23326, r23325, r23315, MPFR_RNDN); mpfr_div(r23327, r23324, r23326, MPFR_RNDN); mpfr_div(r23328, r23327, r23296, MPFR_RNDN); if (mpfr_get_si(r23312, MPFR_RNDN)) { mpfr_set(r23329, r23321, MPFR_RNDN); } else { mpfr_set(r23329, r23328, MPFR_RNDN); }; return mpfr_get_d(r23329, MPFR_RNDN); } static mpfr_t r23330, r23331, r23332, r23333, r23334, r23335, r23336, r23337, r23338, r23339, r23340, r23341, r23342, r23343, r23344, r23345, r23346, r23347, r23348, r23349, r23350, r23351, r23352, r23353, r23354, r23355, r23356, r23357, r23358, r23359, r23360, r23361, r23362, r23363; void setup_mpfr_f_dm() { mpfr_set_default_prec(4112); mpfr_init(r23330); mpfr_init(r23331); mpfr_init_set_str(r23332, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r23333, "1/6", 10, MPFR_RNDN); mpfr_init(r23334); mpfr_init(r23335); mpfr_init(r23336); mpfr_init(r23337); mpfr_init(r23338); mpfr_init(r23339); mpfr_init(r23340); mpfr_init(r23341); mpfr_init(r23342); mpfr_init(r23343); mpfr_init(r23344); mpfr_init_set_str(r23345, "1.0003310484970922", 10, MPFR_RNDN); mpfr_init(r23346); mpfr_init(r23347); mpfr_init(r23348); mpfr_init_set_str(r23349, "1", 10, MPFR_RNDN); mpfr_init(r23350); mpfr_init(r23351); mpfr_init(r23352); mpfr_init_set_str(r23353, "3", 10, MPFR_RNDN); mpfr_init(r23354); mpfr_init(r23355); mpfr_init(r23356); mpfr_init(r23357); mpfr_init(r23358); mpfr_init(r23359); mpfr_init(r23360); mpfr_init(r23361); mpfr_init(r23362); mpfr_init(r23363); } double f_dm(double x) { mpfr_set_d(r23330, x, MPFR_RNDN); mpfr_mul(r23331, r23330, r23330, MPFR_RNDN); ; ; mpfr_mul(r23334, r23333, r23330, MPFR_RNDN); mpfr_add(r23335, r23332, r23334, MPFR_RNDN); mpfr_mul(r23336, r23331, r23335, MPFR_RNDN); mpfr_add(r23337, r23330, r23336, MPFR_RNDN); mpfr_cbrt(r23338, r23337, MPFR_RNDN); mpfr_mul(r23339, r23338, r23338, MPFR_RNDN); mpfr_mul(r23340, r23335, r23331, MPFR_RNDN); mpfr_add(r23341, r23340, r23330, MPFR_RNDN); mpfr_cbrt(r23342, r23341, MPFR_RNDN); mpfr_mul(r23343, r23339, r23342, MPFR_RNDN); mpfr_div(r23344, r23343, r23330, MPFR_RNDN); ; mpfr_set_si(r23346, mpfr_cmp(r23344, r23345) <= 0, MPFR_RNDN); mpfr_mul(r23347, r23330, r23333, MPFR_RNDN); mpfr_mul(r23348, r23347, r23330, MPFR_RNDN); ; mpfr_mul(r23350, r23332, r23330, MPFR_RNDN); mpfr_add(r23351, r23349, r23350, MPFR_RNDN); mpfr_add(r23352, r23348, r23351, MPFR_RNDN); ; mpfr_pow(r23354, r23352, r23353, MPFR_RNDN); mpfr_cbrt(r23355, r23354, MPFR_RNDN); mpfr_add(r23356, r23330, r23330, MPFR_RNDN); mpfr_exp(r23357, r23356, MPFR_RNDN); mpfr_sub(r23358, r23357, r23349, MPFR_RNDN); mpfr_exp(r23359, r23330, MPFR_RNDN); mpfr_add(r23360, r23359, r23349, MPFR_RNDN); mpfr_div(r23361, r23358, r23360, MPFR_RNDN); mpfr_div(r23362, r23361, r23330, MPFR_RNDN); if (mpfr_get_si(r23346, MPFR_RNDN)) { mpfr_set(r23363, r23355, MPFR_RNDN); } else { mpfr_set(r23363, r23362, MPFR_RNDN); }; return mpfr_get_d(r23363, MPFR_RNDN); }