#include #include #include #include #include char *name = "Kahan's exp quotient"; double f_if(float x) { float r16279 = x; float r16280 = exp(r16279); float r16281 = 1.0f; float r16282 = r16280 - r16281; float r16283 = r16282 / r16279; return r16283; } double f_id(double x) { double r16284 = x; double r16285 = exp(r16284); double r16286 = 1.0; double r16287 = r16285 - r16286; double r16288 = r16287 / r16284; return r16288; } double f_of(float x) { float r16289 = x; float r16290 = -8.61646249982272e-12f; bool r16291 = r16289 <= r16290; float r16292 = exp(r16289); float r16293 = r16292 * (r16292 * r16292); float r16294 = 1.0f; float r16295 = r16293 - r16294; float r16296 = r16292 + r16294; float r16297 = r16289 + r16289; float r16298 = exp(r16297); float r16299 = r16296 + r16298; float r16300 = r16295 / r16299; float r16301 = r16300 / r16289; float r16302 = 0.5f; float r16303 = 0.16666666666666666f; float r16304 = r16303 * r16289; float r16305 = r16302 + r16304; float r16306 = r16289 * r16289; float r16307 = r16305 * r16306; float r16308 = r16307 + r16289; float r16309 = r16308 / r16289; float r16310 = r16291 ? r16301 : r16309; return r16310; } double f_od(double x) { double r16311 = x; double r16312 = -8.61646249982272e-12; bool r16313 = r16311 <= r16312; double r16314 = exp(r16311); double r16315 = r16314 * (r16314 * r16314); double r16316 = 1.0; double r16317 = r16315 - r16316; double r16318 = r16314 + r16316; double r16319 = r16311 + r16311; double r16320 = exp(r16319); double r16321 = r16318 + r16320; double r16322 = r16317 / r16321; double r16323 = r16322 / r16311; double r16324 = 0.5; double r16325 = 0.16666666666666666; double r16326 = r16325 * r16311; double r16327 = r16324 + r16326; double r16328 = r16311 * r16311; double r16329 = r16327 * r16328; double r16330 = r16329 + r16311; double r16331 = r16330 / r16311; double r16332 = r16313 ? r16323 : r16331; return r16332; } 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 r16333, r16334, r16335, r16336, r16337; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16333); mpfr_init(r16334); mpfr_init_set_str(r16335, "1", 10, MPFR_RNDN); mpfr_init(r16336); mpfr_init(r16337); } double f_im(double x) { mpfr_set_d(r16333, x, MPFR_RNDN); mpfr_exp(r16334, r16333, MPFR_RNDN); ; mpfr_sub(r16336, r16334, r16335, MPFR_RNDN); mpfr_div(r16337, r16336, r16333, MPFR_RNDN); return mpfr_get_d(r16337, MPFR_RNDN); } static mpfr_t r16338, r16339, r16340, r16341, r16342, r16343, r16344, r16345, r16346, r16347, r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356, r16357, r16358, r16359; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16338); mpfr_init_set_str(r16339, "-8.61646249982272e-12", 10, MPFR_RNDN); mpfr_init(r16340); mpfr_init(r16341); mpfr_init(r16342); mpfr_init_set_str(r16343, "1", 10, MPFR_RNDN); mpfr_init(r16344); mpfr_init(r16345); mpfr_init(r16346); mpfr_init(r16347); mpfr_init(r16348); mpfr_init(r16349); mpfr_init(r16350); mpfr_init_set_str(r16351, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16352, "1/6", 10, MPFR_RNDN); mpfr_init(r16353); mpfr_init(r16354); mpfr_init(r16355); mpfr_init(r16356); mpfr_init(r16357); mpfr_init(r16358); mpfr_init(r16359); } double f_fm(double x) { mpfr_set_d(r16338, x, MPFR_RNDN); ; mpfr_set_si(r16340, mpfr_cmp(r16338, r16339) <= 0, MPFR_RNDN); mpfr_exp(r16341, r16338, MPFR_RNDN); mpfr_mul(r16342, r16341, r16341, MPFR_RNDN); mpfr_mul(r16342, r16342, r16341, MPFR_RNDN); ; mpfr_sub(r16344, r16342, r16343, MPFR_RNDN); mpfr_add(r16345, r16341, r16343, MPFR_RNDN); mpfr_add(r16346, r16338, r16338, MPFR_RNDN); mpfr_exp(r16347, r16346, MPFR_RNDN); mpfr_add(r16348, r16345, r16347, MPFR_RNDN); mpfr_div(r16349, r16344, r16348, MPFR_RNDN); mpfr_div(r16350, r16349, r16338, MPFR_RNDN); ; ; mpfr_mul(r16353, r16352, r16338, MPFR_RNDN); mpfr_add(r16354, r16351, r16353, MPFR_RNDN); mpfr_sqr(r16355, r16338, MPFR_RNDN); mpfr_mul(r16356, r16354, r16355, MPFR_RNDN); mpfr_add(r16357, r16356, r16338, MPFR_RNDN); mpfr_div(r16358, r16357, r16338, MPFR_RNDN); if (mpfr_get_si(r16340, MPFR_RNDN)) { mpfr_set(r16359, r16350, MPFR_RNDN); } else { mpfr_set(r16359, r16358, MPFR_RNDN); }; return mpfr_get_d(r16359, MPFR_RNDN); } static mpfr_t r16360, r16361, r16362, r16363, r16364, r16365, r16366, r16367, r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376, r16377, r16378, r16379, r16380, r16381; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16360); mpfr_init_set_str(r16361, "-8.61646249982272e-12", 10, MPFR_RNDN); mpfr_init(r16362); mpfr_init(r16363); mpfr_init(r16364); mpfr_init_set_str(r16365, "1", 10, MPFR_RNDN); mpfr_init(r16366); mpfr_init(r16367); mpfr_init(r16368); mpfr_init(r16369); mpfr_init(r16370); mpfr_init(r16371); mpfr_init(r16372); mpfr_init_set_str(r16373, "1/2", 10, MPFR_RNDN); mpfr_init_set_str(r16374, "1/6", 10, MPFR_RNDN); mpfr_init(r16375); mpfr_init(r16376); mpfr_init(r16377); mpfr_init(r16378); mpfr_init(r16379); mpfr_init(r16380); mpfr_init(r16381); } double f_dm(double x) { mpfr_set_d(r16360, x, MPFR_RNDN); ; mpfr_set_si(r16362, mpfr_cmp(r16360, r16361) <= 0, MPFR_RNDN); mpfr_exp(r16363, r16360, MPFR_RNDN); mpfr_mul(r16364, r16363, r16363, MPFR_RNDN); mpfr_mul(r16364, r16364, r16363, MPFR_RNDN); ; mpfr_sub(r16366, r16364, r16365, MPFR_RNDN); mpfr_add(r16367, r16363, r16365, MPFR_RNDN); mpfr_add(r16368, r16360, r16360, MPFR_RNDN); mpfr_exp(r16369, r16368, MPFR_RNDN); mpfr_add(r16370, r16367, r16369, MPFR_RNDN); mpfr_div(r16371, r16366, r16370, MPFR_RNDN); mpfr_div(r16372, r16371, r16360, MPFR_RNDN); ; ; mpfr_mul(r16375, r16374, r16360, MPFR_RNDN); mpfr_add(r16376, r16373, r16375, MPFR_RNDN); mpfr_sqr(r16377, r16360, MPFR_RNDN); mpfr_mul(r16378, r16376, r16377, MPFR_RNDN); mpfr_add(r16379, r16378, r16360, MPFR_RNDN); mpfr_div(r16380, r16379, r16360, MPFR_RNDN); if (mpfr_get_si(r16362, MPFR_RNDN)) { mpfr_set(r16381, r16372, MPFR_RNDN); } else { mpfr_set(r16381, r16380, MPFR_RNDN); }; return mpfr_get_d(r16381, MPFR_RNDN); }