#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r16360 = x; float r16361 = eps; float r16362 = r16360 + r16361; float r16363 = sin(r16362); float r16364 = sin(r16360); float r16365 = r16363 - r16364; return r16365; } double f_id(double x, double eps) { double r16366 = x; double r16367 = eps; double r16368 = r16366 + r16367; double r16369 = sin(r16368); double r16370 = sin(r16366); double r16371 = r16369 - r16370; return r16371; } double f_of(float x, float eps) { float r16372 = x; float r16373 = sin(r16372); float r16374 = eps; float r16375 = cos(r16374); float r16376 = r16373 * r16375; float r16377 = sin(r16374); float r16378 = cos(r16372); float r16379 = r16377 * r16378; float r16380 = r16379 * (r16379 * r16379); float r16381 = r16380 * r16380; float r16382 = r16373 * (r16373 * r16373); float r16383 = r16382 * r16382; float r16384 = r16381 - r16383; float r16385 = r16379 * r16379; float r16386 = r16373 + r16379; float r16387 = r16386 * r16373; float r16388 = r16385 + r16387; float r16389 = r16382 + r16380; float r16390 = r16388 * r16389; float r16391 = r16384 / r16390; float r16392 = r16376 + r16391; return r16392; } double f_od(double x, double eps) { double r16393 = x; double r16394 = sin(r16393); double r16395 = eps; double r16396 = cos(r16395); double r16397 = r16394 * r16396; double r16398 = sin(r16395); double r16399 = cos(r16393); double r16400 = r16398 * r16399; double r16401 = r16400 * (r16400 * r16400); double r16402 = r16401 * r16401; double r16403 = r16394 * (r16394 * r16394); double r16404 = r16403 * r16403; double r16405 = r16402 - r16404; double r16406 = r16400 * r16400; double r16407 = r16394 + r16400; double r16408 = r16407 * r16394; double r16409 = r16406 + r16408; double r16410 = r16403 + r16401; double r16411 = r16409 * r16410; double r16412 = r16405 / r16411; double r16413 = r16397 + r16412; return r16413; } 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 r16414, r16415, r16416, r16417, r16418, r16419; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16414); mpfr_init(r16415); mpfr_init(r16416); mpfr_init(r16417); mpfr_init(r16418); mpfr_init(r16419); } double f_im(double x, double eps) { mpfr_set_d(r16414, x, MPFR_RNDN); mpfr_set_d(r16415, eps, MPFR_RNDN); mpfr_add(r16416, r16414, r16415, MPFR_RNDN); mpfr_sin(r16417, r16416, MPFR_RNDN); mpfr_sin(r16418, r16414, MPFR_RNDN); mpfr_sub(r16419, r16417, r16418, MPFR_RNDN); return mpfr_get_d(r16419, MPFR_RNDN); } static mpfr_t r16420, r16421, r16422, r16423, r16424, r16425, r16426, r16427, r16428, r16429, r16430, r16431, r16432, r16433, r16434, r16435, r16436, r16437, r16438, r16439, r16440; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); 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); mpfr_init(r16438); mpfr_init(r16439); mpfr_init(r16440); } double f_fm(double x, double eps) { mpfr_set_d(r16420, x, MPFR_RNDN); mpfr_sin(r16421, r16420, MPFR_RNDN); mpfr_set_d(r16422, eps, MPFR_RNDN); mpfr_cos(r16423, r16422, MPFR_RNDN); mpfr_mul(r16424, r16421, r16423, MPFR_RNDN); mpfr_sin(r16425, r16422, MPFR_RNDN); mpfr_cos(r16426, r16420, MPFR_RNDN); mpfr_mul(r16427, r16425, r16426, MPFR_RNDN); mpfr_mul(r16428, r16427, r16427, MPFR_RNDN); mpfr_mul(r16428, r16428, r16427, MPFR_RNDN); mpfr_sqr(r16429, r16428, MPFR_RNDN); mpfr_mul(r16430, r16421, r16421, MPFR_RNDN); mpfr_mul(r16430, r16430, r16421, MPFR_RNDN); mpfr_sqr(r16431, r16430, MPFR_RNDN); mpfr_sub(r16432, r16429, r16431, MPFR_RNDN); mpfr_sqr(r16433, r16427, MPFR_RNDN); mpfr_add(r16434, r16421, r16427, MPFR_RNDN); mpfr_mul(r16435, r16434, r16421, MPFR_RNDN); mpfr_add(r16436, r16433, r16435, MPFR_RNDN); mpfr_add(r16437, r16430, r16428, MPFR_RNDN); mpfr_mul(r16438, r16436, r16437, MPFR_RNDN); mpfr_div(r16439, r16432, r16438, MPFR_RNDN); mpfr_add(r16440, r16424, r16439, MPFR_RNDN); return mpfr_get_d(r16440, MPFR_RNDN); } static mpfr_t r16441, r16442, r16443, r16444, r16445, r16446, r16447, r16448, r16449, r16450, r16451, r16452, r16453, r16454, r16455, r16456, r16457, r16458, r16459, r16460, r16461; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16441); mpfr_init(r16442); mpfr_init(r16443); mpfr_init(r16444); mpfr_init(r16445); mpfr_init(r16446); mpfr_init(r16447); mpfr_init(r16448); mpfr_init(r16449); mpfr_init(r16450); mpfr_init(r16451); mpfr_init(r16452); mpfr_init(r16453); mpfr_init(r16454); mpfr_init(r16455); mpfr_init(r16456); mpfr_init(r16457); mpfr_init(r16458); mpfr_init(r16459); mpfr_init(r16460); mpfr_init(r16461); } double f_dm(double x, double eps) { mpfr_set_d(r16441, x, MPFR_RNDN); mpfr_sin(r16442, r16441, MPFR_RNDN); mpfr_set_d(r16443, eps, MPFR_RNDN); mpfr_cos(r16444, r16443, MPFR_RNDN); mpfr_mul(r16445, r16442, r16444, MPFR_RNDN); mpfr_sin(r16446, r16443, MPFR_RNDN); mpfr_cos(r16447, r16441, MPFR_RNDN); mpfr_mul(r16448, r16446, r16447, MPFR_RNDN); mpfr_mul(r16449, r16448, r16448, MPFR_RNDN); mpfr_mul(r16449, r16449, r16448, MPFR_RNDN); mpfr_sqr(r16450, r16449, MPFR_RNDN); mpfr_mul(r16451, r16442, r16442, MPFR_RNDN); mpfr_mul(r16451, r16451, r16442, MPFR_RNDN); mpfr_sqr(r16452, r16451, MPFR_RNDN); mpfr_sub(r16453, r16450, r16452, MPFR_RNDN); mpfr_sqr(r16454, r16448, MPFR_RNDN); mpfr_add(r16455, r16442, r16448, MPFR_RNDN); mpfr_mul(r16456, r16455, r16442, MPFR_RNDN); mpfr_add(r16457, r16454, r16456, MPFR_RNDN); mpfr_add(r16458, r16451, r16449, MPFR_RNDN); mpfr_mul(r16459, r16457, r16458, MPFR_RNDN); mpfr_div(r16460, r16453, r16459, MPFR_RNDN); mpfr_add(r16461, r16445, r16460, MPFR_RNDN); return mpfr_get_d(r16461, MPFR_RNDN); }