#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16328 = x; float r16329 = eps; float r16330 = r16328 + r16329; float r16331 = sin(r16330); float r16332 = sin(r16328); float r16333 = r16331 - r16332; return r16333; } double f_id(double x, double eps) { double r16334 = x; double r16335 = eps; double r16336 = r16334 + r16335; double r16337 = sin(r16336); double r16338 = sin(r16334); double r16339 = r16337 - r16338; return r16339; } double f_of(float x, float eps) { float r16340 = x; float r16341 = sin(r16340); float r16342 = eps; float r16343 = cos(r16342); float r16344 = r16341 * r16343; float r16345 = r16344 * r16344; float r16346 = r16345 * r16345; float r16347 = cos(r16340); float r16348 = sin(r16342); float r16349 = r16347 * r16348; float r16350 = r16349 - r16341; float r16351 = r16350 * r16350; float r16352 = r16351 * r16351; float r16353 = r16346 - r16352; float r16354 = r16345 + r16351; float r16355 = r16353 / r16354; float r16356 = fma(r16343, r16341, r16341); float r16357 = r16348 * r16347; float r16358 = r16356 - r16357; float r16359 = r16355 / r16358; return r16359; } double f_od(double x, double eps) { double r16360 = x; double r16361 = sin(r16360); double r16362 = eps; double r16363 = cos(r16362); double r16364 = r16361 * r16363; double r16365 = r16364 * r16364; double r16366 = r16365 * r16365; double r16367 = cos(r16360); double r16368 = sin(r16362); double r16369 = r16367 * r16368; double r16370 = r16369 - r16361; double r16371 = r16370 * r16370; double r16372 = r16371 * r16371; double r16373 = r16366 - r16372; double r16374 = r16365 + r16371; double r16375 = r16373 / r16374; double r16376 = fma(r16363, r16361, r16361); double r16377 = r16368 * r16367; double r16378 = r16376 - r16377; double r16379 = r16375 / r16378; return r16379; } 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 r16380, r16381, r16382, r16383, r16384, r16385; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16380); mpfr_init(r16381); mpfr_init(r16382); mpfr_init(r16383); mpfr_init(r16384); mpfr_init(r16385); } double f_im(double x, double eps) { mpfr_set_d(r16380, x, MPFR_RNDN); mpfr_set_d(r16381, eps, MPFR_RNDN); mpfr_add(r16382, r16380, r16381, MPFR_RNDN); mpfr_sin(r16383, r16382, MPFR_RNDN); mpfr_sin(r16384, r16380, MPFR_RNDN); mpfr_sub(r16385, r16383, r16384, MPFR_RNDN); return mpfr_get_d(r16385, MPFR_RNDN); } static mpfr_t r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16386); mpfr_init(r16387); mpfr_init(r16388); mpfr_init(r16389); mpfr_init(r16390); mpfr_init(r16391); mpfr_init(r16392); mpfr_init(r16393); mpfr_init(r16394); mpfr_init(r16395); mpfr_init(r16396); mpfr_init(r16397); mpfr_init(r16398); mpfr_init(r16399); mpfr_init(r16400); mpfr_init(r16401); mpfr_init(r16402); mpfr_init(r16403); mpfr_init(r16404); mpfr_init(r16405); } double f_fm(double x, double eps) { mpfr_set_d(r16386, x, MPFR_RNDN); mpfr_sin(r16387, r16386, MPFR_RNDN); mpfr_set_d(r16388, eps, MPFR_RNDN); mpfr_cos(r16389, r16388, MPFR_RNDN); mpfr_mul(r16390, r16387, r16389, MPFR_RNDN); mpfr_sqr(r16391, r16390, MPFR_RNDN); mpfr_sqr(r16392, r16391, MPFR_RNDN); mpfr_cos(r16393, r16386, MPFR_RNDN); mpfr_sin(r16394, r16388, MPFR_RNDN); mpfr_mul(r16395, r16393, r16394, MPFR_RNDN); mpfr_sub(r16396, r16395, r16387, MPFR_RNDN); mpfr_sqr(r16397, r16396, MPFR_RNDN); mpfr_sqr(r16398, r16397, MPFR_RNDN); mpfr_sub(r16399, r16392, r16398, MPFR_RNDN); mpfr_add(r16400, r16391, r16397, MPFR_RNDN); mpfr_div(r16401, r16399, r16400, MPFR_RNDN); mpfr_fma(r16402, r16389, r16387, r16387, MPFR_RNDN); mpfr_mul(r16403, r16394, r16393, MPFR_RNDN); mpfr_sub(r16404, r16402, r16403, MPFR_RNDN); mpfr_div(r16405, r16401, r16404, MPFR_RNDN); return mpfr_get_d(r16405, MPFR_RNDN); } static mpfr_t r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418, r16419, r16420, r16421, r16422, r16423, r16424, r16425; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16406); mpfr_init(r16407); mpfr_init(r16408); mpfr_init(r16409); mpfr_init(r16410); mpfr_init(r16411); mpfr_init(r16412); mpfr_init(r16413); mpfr_init(r16414); mpfr_init(r16415); mpfr_init(r16416); mpfr_init(r16417); mpfr_init(r16418); mpfr_init(r16419); mpfr_init(r16420); mpfr_init(r16421); mpfr_init(r16422); mpfr_init(r16423); mpfr_init(r16424); mpfr_init(r16425); } double f_dm(double x, double eps) { mpfr_set_d(r16406, x, MPFR_RNDN); mpfr_sin(r16407, r16406, MPFR_RNDN); mpfr_set_d(r16408, eps, MPFR_RNDN); mpfr_cos(r16409, r16408, MPFR_RNDN); mpfr_mul(r16410, r16407, r16409, MPFR_RNDN); mpfr_sqr(r16411, r16410, MPFR_RNDN); mpfr_sqr(r16412, r16411, MPFR_RNDN); mpfr_cos(r16413, r16406, MPFR_RNDN); mpfr_sin(r16414, r16408, MPFR_RNDN); mpfr_mul(r16415, r16413, r16414, MPFR_RNDN); mpfr_sub(r16416, r16415, r16407, MPFR_RNDN); mpfr_sqr(r16417, r16416, MPFR_RNDN); mpfr_sqr(r16418, r16417, MPFR_RNDN); mpfr_sub(r16419, r16412, r16418, MPFR_RNDN); mpfr_add(r16420, r16411, r16417, MPFR_RNDN); mpfr_div(r16421, r16419, r16420, MPFR_RNDN); mpfr_fma(r16422, r16409, r16407, r16407, MPFR_RNDN); mpfr_mul(r16423, r16414, r16413, MPFR_RNDN); mpfr_sub(r16424, r16422, r16423, MPFR_RNDN); mpfr_div(r16425, r16421, r16424, MPFR_RNDN); return mpfr_get_d(r16425, MPFR_RNDN); }