#include #include #include #include #include char *name = "Kahan's exp quotient"; double f_if(float x) { float r16267 = x; float r16268 = exp(r16267); float r16269 = 1.0f; float r16270 = r16268 - r16269; float r16271 = r16270 / r16267; return r16271; } double f_id(double x) { double r16272 = x; double r16273 = exp(r16272); double r16274 = 1.0; double r16275 = r16273 - r16274; double r16276 = r16275 / r16272; return r16276; } double f_of(float x) { float r16277 = x; float r16278 = -8.61646249982272e-12f; bool r16279 = r16277 <= r16278; float r16280 = exp(r16277); float r16281 = r16280 * (r16280 * r16280); float r16282 = 1.0f; float r16283 = r16281 - r16282; float r16284 = r16280 + r16282; float r16285 = r16277 + r16277; float r16286 = exp(r16285); float r16287 = r16284 + r16286; float r16288 = r16283 / r16287; float r16289 = r16288 / r16277; float r16290 = 0.5f; float r16291 = 0.16666666666666666f; float r16292 = r16291 * r16277; float r16293 = r16290 + r16292; float r16294 = r16277 * r16277; float r16295 = r16293 * r16294; float r16296 = r16295 + r16277; float r16297 = r16296 / r16277; float r16298 = r16279 ? r16289 : r16297; return r16298; } double f_od(double x) { double r16299 = x; double r16300 = -8.61646249982272e-12; bool r16301 = r16299 <= r16300; double r16302 = exp(r16299); double r16303 = r16302 * (r16302 * r16302); double r16304 = 1.0; double r16305 = r16303 - r16304; double r16306 = r16302 + r16304; double r16307 = r16299 + r16299; double r16308 = exp(r16307); double r16309 = r16306 + r16308; double r16310 = r16305 / r16309; double r16311 = r16310 / r16299; double r16312 = 0.5; double r16313 = 0.16666666666666666; double r16314 = r16313 * r16299; double r16315 = r16312 + r16314; double r16316 = r16299 * r16299; double r16317 = r16315 * r16316; double r16318 = r16317 + r16299; double r16319 = r16318 / r16299; double r16320 = r16301 ? r16311 : r16319; return r16320; } 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 r16321, r16322, r16323, r16324, r16325; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16321); mpfr_init(r16322); mpfr_init_set_str(r16323, "1", 10, MPFR_RNDN); mpfr_init(r16324); mpfr_init(r16325); } double f_im(double x) { mpfr_set_d(r16321, x, MPFR_RNDN); mpfr_exp(r16322, r16321, MPFR_RNDN); ; mpfr_sub(r16324, r16322, r16323, MPFR_RNDN); mpfr_div(r16325, r16324, r16321, MPFR_RNDN); return mpfr_get_d(r16325, MPFR_RNDN); } static mpfr_t r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341, r16342, r16343, r16344, r16345, r16346, r16347; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16326); mpfr_init_set_str(r16327, "-8.61646249982272e-12", 10, MPFR_RNDN); mpfr_init(r16328); mpfr_init(r16329); mpfr_init(r16330); mpfr_init_set_str(r16331, "1", 10, MPFR_RNDN); mpfr_init(r16332); mpfr_init(r16333); mpfr_init(r16334); mpfr_init(r16335); mpfr_init(r16336); mpfr_init(r16337); mpfr_init(r16338); mpfr_init_set_str(r16339, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16340, "1/6", 10, MPFR_RNDN); mpfr_init(r16341); mpfr_init(r16342); mpfr_init(r16343); mpfr_init(r16344); mpfr_init(r16345); mpfr_init(r16346); mpfr_init(r16347); } double f_fm(double x) { mpfr_set_d(r16326, x, MPFR_RNDN); ; mpfr_set_si(r16328, mpfr_cmp(r16326, r16327) <= 0, MPFR_RNDN); mpfr_exp(r16329, r16326, MPFR_RNDN); mpfr_mul(r16330, r16329, r16329, MPFR_RNDN); mpfr_mul(r16330, r16330, r16329, MPFR_RNDN); ; mpfr_sub(r16332, r16330, r16331, MPFR_RNDN); mpfr_add(r16333, r16329, r16331, MPFR_RNDN); mpfr_add(r16334, r16326, r16326, MPFR_RNDN); mpfr_exp(r16335, r16334, MPFR_RNDN); mpfr_add(r16336, r16333, r16335, MPFR_RNDN); mpfr_div(r16337, r16332, r16336, MPFR_RNDN); mpfr_div(r16338, r16337, r16326, MPFR_RNDN); ; ; mpfr_mul(r16341, r16340, r16326, MPFR_RNDN); mpfr_add(r16342, r16339, r16341, MPFR_RNDN); mpfr_sqr(r16343, r16326, MPFR_RNDN); mpfr_mul(r16344, r16342, r16343, MPFR_RNDN); mpfr_add(r16345, r16344, r16326, MPFR_RNDN); mpfr_div(r16346, r16345, r16326, MPFR_RNDN); if (mpfr_get_si(r16328, MPFR_RNDN)) { mpfr_set(r16347, r16338, MPFR_RNDN); } else { mpfr_set(r16347, r16346, MPFR_RNDN); }; return mpfr_get_d(r16347, MPFR_RNDN); } static mpfr_t r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356, r16357, r16358, r16359, r16360, r16361, r16362, r16363, r16364, r16365, r16366, r16367, r16368, r16369; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16348); mpfr_init_set_str(r16349, "-8.61646249982272e-12", 10, MPFR_RNDN); mpfr_init(r16350); mpfr_init(r16351); mpfr_init(r16352); mpfr_init_set_str(r16353, "1", 10, MPFR_RNDN); mpfr_init(r16354); mpfr_init(r16355); mpfr_init(r16356); mpfr_init(r16357); mpfr_init(r16358); mpfr_init(r16359); mpfr_init(r16360); mpfr_init_set_str(r16361, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16362, "1/6", 10, MPFR_RNDN); mpfr_init(r16363); mpfr_init(r16364); mpfr_init(r16365); mpfr_init(r16366); mpfr_init(r16367); mpfr_init(r16368); mpfr_init(r16369); } double f_dm(double x) { mpfr_set_d(r16348, x, MPFR_RNDN); ; mpfr_set_si(r16350, mpfr_cmp(r16348, r16349) <= 0, MPFR_RNDN); mpfr_exp(r16351, r16348, MPFR_RNDN); mpfr_mul(r16352, r16351, r16351, MPFR_RNDN); mpfr_mul(r16352, r16352, r16351, MPFR_RNDN); ; mpfr_sub(r16354, r16352, r16353, MPFR_RNDN); mpfr_add(r16355, r16351, r16353, MPFR_RNDN); mpfr_add(r16356, r16348, r16348, MPFR_RNDN); mpfr_exp(r16357, r16356, MPFR_RNDN); mpfr_add(r16358, r16355, r16357, MPFR_RNDN); mpfr_div(r16359, r16354, r16358, MPFR_RNDN); mpfr_div(r16360, r16359, r16348, MPFR_RNDN); ; ; mpfr_mul(r16363, r16362, r16348, MPFR_RNDN); mpfr_add(r16364, r16361, r16363, MPFR_RNDN); mpfr_sqr(r16365, r16348, MPFR_RNDN); mpfr_mul(r16366, r16364, r16365, MPFR_RNDN); mpfr_add(r16367, r16366, r16348, MPFR_RNDN); mpfr_div(r16368, r16367, r16348, MPFR_RNDN); if (mpfr_get_si(r16350, MPFR_RNDN)) { mpfr_set(r16369, r16360, MPFR_RNDN); } else { mpfr_set(r16369, r16368, MPFR_RNDN); }; return mpfr_get_d(r16369, MPFR_RNDN); }