#include #include #include #include #include char *name = "Kahan's exp quotient"; double f_if(float x) { float r16247 = x; float r16248 = exp(r16247); float r16249 = 1.0f; float r16250 = r16248 - r16249; float r16251 = r16250 / r16247; return r16251; } double f_id(double x) { double r16252 = x; double r16253 = exp(r16252); double r16254 = 1.0; double r16255 = r16253 - r16254; double r16256 = r16255 / r16252; return r16256; } double f_of(float x) { float r16257 = x; float r16258 = -6.025113626725801e-15f; bool r16259 = r16257 <= r16258; float r16260 = exp(r16257); float r16261 = r16260 * r16260; float r16262 = 1.0f; float r16263 = r16262 * r16262; float r16264 = r16261 - r16263; float r16265 = r16260 + r16262; float r16266 = r16264 / r16265; float r16267 = r16266 / r16257; float r16268 = 0.5f; float r16269 = 0.16666666666666666f; float r16270 = r16269 * r16257; float r16271 = r16268 + r16270; float r16272 = r16257 * r16257; float r16273 = r16271 * r16272; float r16274 = r16273 + r16257; float r16275 = r16274 / r16257; float r16276 = r16259 ? r16267 : r16275; return r16276; } double f_od(double x) { double r16277 = x; double r16278 = -6.025113626725801e-15; bool r16279 = r16277 <= r16278; double r16280 = exp(r16277); double r16281 = r16280 * r16280; double r16282 = 1.0; double r16283 = r16282 * r16282; double r16284 = r16281 - r16283; double r16285 = r16280 + r16282; double r16286 = r16284 / r16285; double r16287 = r16286 / r16277; double r16288 = 0.5; double r16289 = 0.16666666666666666; double r16290 = r16289 * r16277; double r16291 = r16288 + r16290; double r16292 = r16277 * r16277; double r16293 = r16291 * r16292; double r16294 = r16293 + r16277; double r16295 = r16294 / r16277; double r16296 = r16279 ? r16287 : r16295; return r16296; } 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 r16297, r16298, r16299, r16300, r16301; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16297); mpfr_init(r16298); mpfr_init_set_str(r16299, "1", 10, MPFR_RNDN); mpfr_init(r16300); mpfr_init(r16301); } double f_im(double x) { mpfr_set_d(r16297, x, MPFR_RNDN); mpfr_exp(r16298, r16297, MPFR_RNDN); ; mpfr_sub(r16300, r16298, r16299, MPFR_RNDN); mpfr_div(r16301, r16300, r16297, MPFR_RNDN); return mpfr_get_d(r16301, MPFR_RNDN); } static mpfr_t r16302, r16303, r16304, r16305, r16306, r16307, r16308, r16309, r16310, r16311, r16312, r16313, r16314, r16315, r16316, r16317, r16318, r16319, r16320, r16321; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16302); mpfr_init_set_str(r16303, "-6.025113626725801e-15", 10, MPFR_RNDN); mpfr_init(r16304); mpfr_init(r16305); mpfr_init(r16306); mpfr_init_set_str(r16307, "1", 10, MPFR_RNDN); mpfr_init(r16308); mpfr_init(r16309); mpfr_init(r16310); mpfr_init(r16311); mpfr_init(r16312); mpfr_init_set_str(r16313, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16314, "1/6", 10, MPFR_RNDN); mpfr_init(r16315); mpfr_init(r16316); mpfr_init(r16317); mpfr_init(r16318); mpfr_init(r16319); mpfr_init(r16320); mpfr_init(r16321); } double f_fm(double x) { mpfr_set_d(r16302, x, MPFR_RNDN); ; mpfr_set_si(r16304, mpfr_cmp(r16302, r16303) <= 0, MPFR_RNDN); mpfr_exp(r16305, r16302, MPFR_RNDN); mpfr_sqr(r16306, r16305, MPFR_RNDN); ; mpfr_sqr(r16308, r16307, MPFR_RNDN); mpfr_sub(r16309, r16306, r16308, MPFR_RNDN); mpfr_add(r16310, r16305, r16307, MPFR_RNDN); mpfr_div(r16311, r16309, r16310, MPFR_RNDN); mpfr_div(r16312, r16311, r16302, MPFR_RNDN); ; ; mpfr_mul(r16315, r16314, r16302, MPFR_RNDN); mpfr_add(r16316, r16313, r16315, MPFR_RNDN); mpfr_sqr(r16317, r16302, MPFR_RNDN); mpfr_mul(r16318, r16316, r16317, MPFR_RNDN); mpfr_add(r16319, r16318, r16302, MPFR_RNDN); mpfr_div(r16320, r16319, r16302, MPFR_RNDN); if (mpfr_get_si(r16304, MPFR_RNDN)) { mpfr_set(r16321, r16312, MPFR_RNDN); } else { mpfr_set(r16321, r16320, MPFR_RNDN); }; return mpfr_get_d(r16321, MPFR_RNDN); } static mpfr_t r16322, r16323, r16324, r16325, r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16322); mpfr_init_set_str(r16323, "-6.025113626725801e-15", 10, MPFR_RNDN); mpfr_init(r16324); mpfr_init(r16325); mpfr_init(r16326); mpfr_init_set_str(r16327, "1", 10, MPFR_RNDN); mpfr_init(r16328); mpfr_init(r16329); mpfr_init(r16330); mpfr_init(r16331); mpfr_init(r16332); mpfr_init_set_str(r16333, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16334, "1/6", 10, MPFR_RNDN); mpfr_init(r16335); mpfr_init(r16336); mpfr_init(r16337); mpfr_init(r16338); mpfr_init(r16339); mpfr_init(r16340); mpfr_init(r16341); } double f_dm(double x) { mpfr_set_d(r16322, x, MPFR_RNDN); ; mpfr_set_si(r16324, mpfr_cmp(r16322, r16323) <= 0, MPFR_RNDN); mpfr_exp(r16325, r16322, MPFR_RNDN); mpfr_sqr(r16326, r16325, MPFR_RNDN); ; mpfr_sqr(r16328, r16327, MPFR_RNDN); mpfr_sub(r16329, r16326, r16328, MPFR_RNDN); mpfr_add(r16330, r16325, r16327, MPFR_RNDN); mpfr_div(r16331, r16329, r16330, MPFR_RNDN); mpfr_div(r16332, r16331, r16322, MPFR_RNDN); ; ; mpfr_mul(r16335, r16334, r16322, MPFR_RNDN); mpfr_add(r16336, r16333, r16335, MPFR_RNDN); mpfr_sqr(r16337, r16322, MPFR_RNDN); mpfr_mul(r16338, r16336, r16337, MPFR_RNDN); mpfr_add(r16339, r16338, r16322, MPFR_RNDN); mpfr_div(r16340, r16339, r16322, MPFR_RNDN); if (mpfr_get_si(r16324, MPFR_RNDN)) { mpfr_set(r16341, r16332, MPFR_RNDN); } else { mpfr_set(r16341, r16340, MPFR_RNDN); }; return mpfr_get_d(r16341, MPFR_RNDN); }