#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16344 = x; float r16345 = eps; float r16346 = r16344 + r16345; float r16347 = sin(r16346); float r16348 = sin(r16344); float r16349 = r16347 - r16348; return r16349; } double f_id(double x, double eps) { double r16350 = x; double r16351 = eps; double r16352 = r16350 + r16351; double r16353 = sin(r16352); double r16354 = sin(r16350); double r16355 = r16353 - r16354; return r16355; } double f_of(float x, float eps) { float r16356 = x; float r16357 = sin(r16356); float r16358 = eps; float r16359 = cos(r16358); float r16360 = r16357 * r16359; float r16361 = sin(r16358); float r16362 = cos(r16356); float r16363 = r16361 * r16362; float r16364 = r16363 * (r16363 * r16363); float r16365 = r16357 * (r16357 * r16357); float r16366 = r16364 - r16365; float r16367 = r16362 * r16361; float r16368 = r16367 * r16367; float r16369 = r16357 * r16357; float r16370 = r16367 * r16357; float r16371 = r16369 + r16370; float r16372 = r16368 + r16371; float r16373 = r16366 / r16372; float r16374 = r16360 + r16373; return r16374; } double f_od(double x, double eps) { double r16375 = x; double r16376 = sin(r16375); double r16377 = eps; double r16378 = cos(r16377); double r16379 = r16376 * r16378; double r16380 = sin(r16377); double r16381 = cos(r16375); double r16382 = r16380 * r16381; double r16383 = r16382 * (r16382 * r16382); double r16384 = r16376 * (r16376 * r16376); double r16385 = r16383 - r16384; double r16386 = r16381 * r16380; double r16387 = r16386 * r16386; double r16388 = r16376 * r16376; double r16389 = r16386 * r16376; double r16390 = r16388 + r16389; double r16391 = r16387 + r16390; double r16392 = r16385 / r16391; double r16393 = r16379 + r16392; return r16393; } 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 r16394, r16395, r16396, r16397, r16398, r16399; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16394); mpfr_init(r16395); mpfr_init(r16396); mpfr_init(r16397); mpfr_init(r16398); mpfr_init(r16399); } double f_im(double x, double eps) { mpfr_set_d(r16394, x, MPFR_RNDN); mpfr_set_d(r16395, eps, MPFR_RNDN); mpfr_add(r16396, r16394, r16395, MPFR_RNDN); mpfr_sin(r16397, r16396, MPFR_RNDN); mpfr_sin(r16398, r16394, MPFR_RNDN); mpfr_sub(r16399, r16397, r16398, MPFR_RNDN); return mpfr_get_d(r16399, MPFR_RNDN); } static mpfr_t r16400, r16401, r16402, r16403, r16404, r16405, r16406, r16407, r16408, r16409, r16410, r16411, r16412, r16413, r16414, r16415, r16416, r16417, r16418; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16400); mpfr_init(r16401); mpfr_init(r16402); mpfr_init(r16403); mpfr_init(r16404); mpfr_init(r16405); 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); } double f_fm(double x, double eps) { mpfr_set_d(r16400, x, MPFR_RNDN); mpfr_sin(r16401, r16400, MPFR_RNDN); mpfr_set_d(r16402, eps, MPFR_RNDN); mpfr_cos(r16403, r16402, MPFR_RNDN); mpfr_mul(r16404, r16401, r16403, MPFR_RNDN); mpfr_sin(r16405, r16402, MPFR_RNDN); mpfr_cos(r16406, r16400, MPFR_RNDN); mpfr_mul(r16407, r16405, r16406, MPFR_RNDN); mpfr_mul(r16408, r16407, r16407, MPFR_RNDN); mpfr_mul(r16408, r16408, r16407, MPFR_RNDN); mpfr_mul(r16409, r16401, r16401, MPFR_RNDN); mpfr_mul(r16409, r16409, r16401, MPFR_RNDN); mpfr_sub(r16410, r16408, r16409, MPFR_RNDN); mpfr_mul(r16411, r16406, r16405, MPFR_RNDN); mpfr_sqr(r16412, r16411, MPFR_RNDN); mpfr_sqr(r16413, r16401, MPFR_RNDN); mpfr_mul(r16414, r16411, r16401, MPFR_RNDN); mpfr_add(r16415, r16413, r16414, MPFR_RNDN); mpfr_add(r16416, r16412, r16415, MPFR_RNDN); mpfr_div(r16417, r16410, r16416, MPFR_RNDN); mpfr_add(r16418, r16404, r16417, MPFR_RNDN); return mpfr_get_d(r16418, MPFR_RNDN); } static mpfr_t r16419, r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16419); mpfr_init(r16420); mpfr_init(r16421); mpfr_init(r16422); mpfr_init(r16423); mpfr_init(r16424); mpfr_init(r16425); mpfr_init(r16426); mpfr_init(r16427); mpfr_init(r16428); mpfr_init(r16429); mpfr_init(r16430); mpfr_init(r16431); mpfr_init(r16432); mpfr_init(r16433); mpfr_init(r16434); mpfr_init(r16435); mpfr_init(r16436); mpfr_init(r16437); } double f_dm(double x, double eps) { mpfr_set_d(r16419, x, MPFR_RNDN); mpfr_sin(r16420, r16419, MPFR_RNDN); mpfr_set_d(r16421, eps, MPFR_RNDN); mpfr_cos(r16422, r16421, MPFR_RNDN); mpfr_mul(r16423, r16420, r16422, MPFR_RNDN); mpfr_sin(r16424, r16421, MPFR_RNDN); mpfr_cos(r16425, r16419, MPFR_RNDN); mpfr_mul(r16426, r16424, r16425, MPFR_RNDN); mpfr_mul(r16427, r16426, r16426, MPFR_RNDN); mpfr_mul(r16427, r16427, r16426, MPFR_RNDN); mpfr_mul(r16428, r16420, r16420, MPFR_RNDN); mpfr_mul(r16428, r16428, r16420, MPFR_RNDN); mpfr_sub(r16429, r16427, r16428, MPFR_RNDN); mpfr_mul(r16430, r16425, r16424, MPFR_RNDN); mpfr_sqr(r16431, r16430, MPFR_RNDN); mpfr_sqr(r16432, r16420, MPFR_RNDN); mpfr_mul(r16433, r16430, r16420, MPFR_RNDN); mpfr_add(r16434, r16432, r16433, MPFR_RNDN); mpfr_add(r16435, r16431, r16434, MPFR_RNDN); mpfr_div(r16436, r16429, r16435, MPFR_RNDN); mpfr_add(r16437, r16423, r16436, MPFR_RNDN); return mpfr_get_d(r16437, MPFR_RNDN); }