#include #include #include #include #include char *name = "NMSE Section 6.1 mentioned, A"; double f_if(float x, float eps) { float r22232 = 1; float r22233 = eps; float r22234 = r22232 / r22233; float r22235 = r22232 + r22234; float r22236 = r22232 - r22233; float r22237 = x; float r22238 = r22236 * r22237; float r22239 = -r22238; float r22240 = exp(r22239); float r22241 = r22235 * r22240; float r22242 = r22234 - r22232; float r22243 = r22232 + r22233; float r22244 = r22243 * r22237; float r22245 = -r22244; float r22246 = exp(r22245); float r22247 = r22242 * r22246; float r22248 = r22241 - r22247; float r22249 = 2; float r22250 = r22248 / r22249; return r22250; } double f_id(double x, double eps) { double r22251 = 1; double r22252 = eps; double r22253 = r22251 / r22252; double r22254 = r22251 + r22253; double r22255 = r22251 - r22252; double r22256 = x; double r22257 = r22255 * r22256; double r22258 = -r22257; double r22259 = exp(r22258); double r22260 = r22254 * r22259; double r22261 = r22253 - r22251; double r22262 = r22251 + r22252; double r22263 = r22262 * r22256; double r22264 = -r22263; double r22265 = exp(r22264); double r22266 = r22261 * r22265; double r22267 = r22260 - r22266; double r22268 = 2; double r22269 = r22267 / r22268; return r22269; } double f_of(float x, float eps) { float r22270 = 2; float r22271 = 2/3; float r22272 = x; float r22273 = 3; float r22274 = pow(r22272, r22273); float r22275 = r22271 * r22274; float r22276 = r22270 + r22275; float r22277 = pow(r22272, r22270); float r22278 = r22276 - r22277; float r22279 = cbrt(r22278); float r22280 = r22279 * r22279; float r22281 = r22280 * r22279; float r22282 = r22281 / r22270; float r22283 = 4.746471303739418e+24; bool r22284 = r22282 <= r22283; float r22285 = r22278 / r22270; float r22286 = 1; float r22287 = eps; float r22288 = r22286 / r22287; float r22289 = r22286 + r22288; float r22290 = r22286 - r22287; float r22291 = r22290 * r22272; float r22292 = -r22291; float r22293 = exp(r22292); float r22294 = r22289 * r22293; float r22295 = r22288 - r22286; float r22296 = r22286 + r22287; float r22297 = r22296 * r22272; float r22298 = -r22297; float r22299 = exp(r22298); float r22300 = sqrt(r22299); float r22301 = r22300 * r22300; float r22302 = r22295 * r22301; float r22303 = r22294 - r22302; float r22304 = r22303 / r22270; float r22305 = r22284 ? r22285 : r22304; return r22305; } double f_od(double x, double eps) { double r22306 = 2; double r22307 = 2/3; double r22308 = x; double r22309 = 3; double r22310 = pow(r22308, r22309); double r22311 = r22307 * r22310; double r22312 = r22306 + r22311; double r22313 = pow(r22308, r22306); double r22314 = r22312 - r22313; double r22315 = cbrt(r22314); double r22316 = r22315 * r22315; double r22317 = r22316 * r22315; double r22318 = r22317 / r22306; double r22319 = 4.746471303739418e+24; bool r22320 = r22318 <= r22319; double r22321 = r22314 / r22306; double r22322 = 1; double r22323 = eps; double r22324 = r22322 / r22323; double r22325 = r22322 + r22324; double r22326 = r22322 - r22323; double r22327 = r22326 * r22308; double r22328 = -r22327; double r22329 = exp(r22328); double r22330 = r22325 * r22329; double r22331 = r22324 - r22322; double r22332 = r22322 + r22323; double r22333 = r22332 * r22308; double r22334 = -r22333; double r22335 = exp(r22334); double r22336 = sqrt(r22335); double r22337 = r22336 * r22336; double r22338 = r22331 * r22337; double r22339 = r22330 - r22338; double r22340 = r22339 / r22306; double r22341 = r22320 ? r22321 : r22340; return r22341; } 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 r22342, r22343, r22344, r22345, r22346, r22347, r22348, r22349, r22350, r22351, r22352, r22353, r22354, r22355, r22356, r22357, r22358, r22359, r22360; void setup_mpfr_f_im() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22342, "1", 10, MPFR_RNDN); mpfr_init(r22343); mpfr_init(r22344); mpfr_init(r22345); mpfr_init(r22346); mpfr_init(r22347); mpfr_init(r22348); mpfr_init(r22349); mpfr_init(r22350); mpfr_init(r22351); mpfr_init(r22352); mpfr_init(r22353); mpfr_init(r22354); mpfr_init(r22355); mpfr_init(r22356); mpfr_init(r22357); mpfr_init(r22358); mpfr_init_set_str(r22359, "2", 10, MPFR_RNDN); mpfr_init(r22360); } double f_im(double x, double eps) { ; mpfr_set_d(r22343, eps, MPFR_RNDN); mpfr_div(r22344, r22342, r22343, MPFR_RNDN); mpfr_add(r22345, r22342, r22344, MPFR_RNDN); mpfr_sub(r22346, r22342, r22343, MPFR_RNDN); mpfr_set_d(r22347, x, MPFR_RNDN); mpfr_mul(r22348, r22346, r22347, MPFR_RNDN); mpfr_neg(r22349, r22348, MPFR_RNDN); mpfr_exp(r22350, r22349, MPFR_RNDN); mpfr_mul(r22351, r22345, r22350, MPFR_RNDN); mpfr_sub(r22352, r22344, r22342, MPFR_RNDN); mpfr_add(r22353, r22342, r22343, MPFR_RNDN); mpfr_mul(r22354, r22353, r22347, MPFR_RNDN); mpfr_neg(r22355, r22354, MPFR_RNDN); mpfr_exp(r22356, r22355, MPFR_RNDN); mpfr_mul(r22357, r22352, r22356, MPFR_RNDN); mpfr_sub(r22358, r22351, r22357, MPFR_RNDN); ; mpfr_div(r22360, r22358, r22359, MPFR_RNDN); return mpfr_get_d(r22360, MPFR_RNDN); } static mpfr_t r22361, r22362, r22363, r22364, r22365, r22366, r22367, r22368, r22369, r22370, r22371, r22372, r22373, r22374, r22375, r22376, r22377, r22378, r22379, r22380, r22381, r22382, r22383, r22384, r22385, r22386, r22387, r22388, r22389, r22390, r22391, r22392, r22393, r22394, r22395, r22396; void setup_mpfr_f_fm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22361, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22362, "2/3", 10, MPFR_RNDN); mpfr_init(r22363); mpfr_init_set_str(r22364, "3", 10, MPFR_RNDN); mpfr_init(r22365); mpfr_init(r22366); mpfr_init(r22367); mpfr_init(r22368); mpfr_init(r22369); mpfr_init(r22370); mpfr_init(r22371); mpfr_init(r22372); mpfr_init(r22373); mpfr_init_set_str(r22374, "4.746471303739418e+24", 10, MPFR_RNDN); mpfr_init(r22375); mpfr_init(r22376); mpfr_init_set_str(r22377, "1", 10, MPFR_RNDN); mpfr_init(r22378); mpfr_init(r22379); mpfr_init(r22380); mpfr_init(r22381); mpfr_init(r22382); mpfr_init(r22383); mpfr_init(r22384); mpfr_init(r22385); mpfr_init(r22386); mpfr_init(r22387); mpfr_init(r22388); mpfr_init(r22389); mpfr_init(r22390); mpfr_init(r22391); mpfr_init(r22392); mpfr_init(r22393); mpfr_init(r22394); mpfr_init(r22395); mpfr_init(r22396); } double f_fm(double x, double eps) { ; ; mpfr_set_d(r22363, x, MPFR_RNDN); ; mpfr_pow(r22365, r22363, r22364, MPFR_RNDN); mpfr_mul(r22366, r22362, r22365, MPFR_RNDN); mpfr_add(r22367, r22361, r22366, MPFR_RNDN); mpfr_pow(r22368, r22363, r22361, MPFR_RNDN); mpfr_sub(r22369, r22367, r22368, MPFR_RNDN); mpfr_cbrt(r22370, r22369, MPFR_RNDN); mpfr_mul(r22371, r22370, r22370, MPFR_RNDN); mpfr_mul(r22372, r22371, r22370, MPFR_RNDN); mpfr_div(r22373, r22372, r22361, MPFR_RNDN); ; mpfr_set_si(r22375, mpfr_cmp(r22373, r22374) <= 0, MPFR_RNDN); mpfr_div(r22376, r22369, r22361, MPFR_RNDN); ; mpfr_set_d(r22378, eps, MPFR_RNDN); mpfr_div(r22379, r22377, r22378, MPFR_RNDN); mpfr_add(r22380, r22377, r22379, MPFR_RNDN); mpfr_sub(r22381, r22377, r22378, MPFR_RNDN); mpfr_mul(r22382, r22381, r22363, MPFR_RNDN); mpfr_neg(r22383, r22382, MPFR_RNDN); mpfr_exp(r22384, r22383, MPFR_RNDN); mpfr_mul(r22385, r22380, r22384, MPFR_RNDN); mpfr_sub(r22386, r22379, r22377, MPFR_RNDN); mpfr_add(r22387, r22377, r22378, MPFR_RNDN); mpfr_mul(r22388, r22387, r22363, MPFR_RNDN); mpfr_neg(r22389, r22388, MPFR_RNDN); mpfr_exp(r22390, r22389, MPFR_RNDN); mpfr_sqrt(r22391, r22390, MPFR_RNDN); mpfr_mul(r22392, r22391, r22391, MPFR_RNDN); mpfr_mul(r22393, r22386, r22392, MPFR_RNDN); mpfr_sub(r22394, r22385, r22393, MPFR_RNDN); mpfr_div(r22395, r22394, r22361, MPFR_RNDN); if (mpfr_get_si(r22375, MPFR_RNDN)) { mpfr_set(r22396, r22376, MPFR_RNDN); } else { mpfr_set(r22396, r22395, MPFR_RNDN); }; return mpfr_get_d(r22396, MPFR_RNDN); } static mpfr_t r22397, r22398, r22399, r22400, r22401, r22402, r22403, r22404, r22405, r22406, r22407, r22408, r22409, r22410, r22411, r22412, r22413, r22414, r22415, r22416, r22417, r22418, r22419, r22420, r22421, r22422, r22423, r22424, r22425, r22426, r22427, r22428, r22429, r22430, r22431, r22432; void setup_mpfr_f_dm() { mpfr_set_default_prec(1360); mpfr_init_set_str(r22397, "2", 10, MPFR_RNDN); mpfr_init_set_str(r22398, "2/3", 10, MPFR_RNDN); mpfr_init(r22399); mpfr_init_set_str(r22400, "3", 10, MPFR_RNDN); mpfr_init(r22401); mpfr_init(r22402); mpfr_init(r22403); mpfr_init(r22404); mpfr_init(r22405); mpfr_init(r22406); mpfr_init(r22407); mpfr_init(r22408); mpfr_init(r22409); mpfr_init_set_str(r22410, "4.746471303739418e+24", 10, MPFR_RNDN); mpfr_init(r22411); mpfr_init(r22412); mpfr_init_set_str(r22413, "1", 10, MPFR_RNDN); mpfr_init(r22414); mpfr_init(r22415); mpfr_init(r22416); mpfr_init(r22417); mpfr_init(r22418); mpfr_init(r22419); mpfr_init(r22420); mpfr_init(r22421); mpfr_init(r22422); mpfr_init(r22423); mpfr_init(r22424); mpfr_init(r22425); mpfr_init(r22426); mpfr_init(r22427); mpfr_init(r22428); mpfr_init(r22429); mpfr_init(r22430); mpfr_init(r22431); mpfr_init(r22432); } double f_dm(double x, double eps) { ; ; mpfr_set_d(r22399, x, MPFR_RNDN); ; mpfr_pow(r22401, r22399, r22400, MPFR_RNDN); mpfr_mul(r22402, r22398, r22401, MPFR_RNDN); mpfr_add(r22403, r22397, r22402, MPFR_RNDN); mpfr_pow(r22404, r22399, r22397, MPFR_RNDN); mpfr_sub(r22405, r22403, r22404, MPFR_RNDN); mpfr_cbrt(r22406, r22405, MPFR_RNDN); mpfr_mul(r22407, r22406, r22406, MPFR_RNDN); mpfr_mul(r22408, r22407, r22406, MPFR_RNDN); mpfr_div(r22409, r22408, r22397, MPFR_RNDN); ; mpfr_set_si(r22411, mpfr_cmp(r22409, r22410) <= 0, MPFR_RNDN); mpfr_div(r22412, r22405, r22397, MPFR_RNDN); ; mpfr_set_d(r22414, eps, MPFR_RNDN); mpfr_div(r22415, r22413, r22414, MPFR_RNDN); mpfr_add(r22416, r22413, r22415, MPFR_RNDN); mpfr_sub(r22417, r22413, r22414, MPFR_RNDN); mpfr_mul(r22418, r22417, r22399, MPFR_RNDN); mpfr_neg(r22419, r22418, MPFR_RNDN); mpfr_exp(r22420, r22419, MPFR_RNDN); mpfr_mul(r22421, r22416, r22420, MPFR_RNDN); mpfr_sub(r22422, r22415, r22413, MPFR_RNDN); mpfr_add(r22423, r22413, r22414, MPFR_RNDN); mpfr_mul(r22424, r22423, r22399, MPFR_RNDN); mpfr_neg(r22425, r22424, MPFR_RNDN); mpfr_exp(r22426, r22425, MPFR_RNDN); mpfr_sqrt(r22427, r22426, MPFR_RNDN); mpfr_mul(r22428, r22427, r22427, MPFR_RNDN); mpfr_mul(r22429, r22422, r22428, MPFR_RNDN); mpfr_sub(r22430, r22421, r22429, MPFR_RNDN); mpfr_div(r22431, r22430, r22397, MPFR_RNDN); if (mpfr_get_si(r22411, MPFR_RNDN)) { mpfr_set(r22432, r22412, MPFR_RNDN); } else { mpfr_set(r22432, r22431, MPFR_RNDN); }; return mpfr_get_d(r22432, MPFR_RNDN); }