#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15207 = x; float r15208 = eps; float r15209 = r15207 + r15208; float r15210 = cos(r15209); float r15211 = cos(r15207); float r15212 = r15210 - r15211; return r15212; } double f_id(double x, double eps) { double r15213 = x; double r15214 = eps; double r15215 = r15213 + r15214; double r15216 = cos(r15215); double r15217 = cos(r15213); double r15218 = r15216 - r15217; return r15218; } double f_of(float x, float eps) { float r15219 = eps; float r15220 = -6.974478371048821e-14f; bool r15221 = r15219 <= r15220; float r15222 = cos(r15219); float r15223 = x; float r15224 = cos(r15223); float r15225 = r15222 * r15224; float r15226 = sin(r15219); float r15227 = sin(r15223); float r15228 = r15226 * r15227; float r15229 = r15225 - r15228; float r15230 = r15229 * (r15229 * r15229); float r15231 = r15224 * (r15224 * r15224); float r15232 = r15230 - r15231; float r15233 = fma(r15222, r15224, r15224); float r15234 = r15233 - r15228; float r15235 = r15224 * r15224; float r15236 = fma(r15229, r15234, r15235); float r15237 = r15232 / r15236; float r15238 = 0.00018005451351709028f; bool r15239 = r15219 <= r15238; float r15240 = 0.16666666666666666f; float r15241 = r15219 * r15240; float r15242 = r15223 * (r15223 * r15223); float r15243 = r15241 * r15242; float r15244 = 0.5f; float r15245 = fma(r15244, r15219, r15223); float r15246 = r15219 * r15245; float r15247 = r15243 - r15246; float r15248 = r15225 * (r15225 * r15225); float r15249 = r15227 * r15226; float r15250 = r15249 * (r15249 * r15249); float r15251 = r15248 - r15250; float r15252 = r15224 * r15222; float r15253 = r15252 * r15252; float r15254 = log(r15253); float r15255 = exp(r15254); float r15256 = r15249 * r15249; float r15257 = r15252 * r15249; float r15258 = r15256 + r15257; float r15259 = r15255 + r15258; float r15260 = r15251 / r15259; float r15261 = r15260 - r15224; float r15262 = r15239 ? r15247 : r15261; float r15263 = r15221 ? r15237 : r15262; return r15263; } double f_od(double x, double eps) { double r15264 = eps; double r15265 = -6.974478371048821e-14; bool r15266 = r15264 <= r15265; double r15267 = cos(r15264); double r15268 = x; double r15269 = cos(r15268); double r15270 = r15267 * r15269; double r15271 = sin(r15264); double r15272 = sin(r15268); double r15273 = r15271 * r15272; double r15274 = r15270 - r15273; double r15275 = r15274 * (r15274 * r15274); double r15276 = r15269 * (r15269 * r15269); double r15277 = r15275 - r15276; double r15278 = fma(r15267, r15269, r15269); double r15279 = r15278 - r15273; double r15280 = r15269 * r15269; double r15281 = fma(r15274, r15279, r15280); double r15282 = r15277 / r15281; double r15283 = 0.00018005451351709028; bool r15284 = r15264 <= r15283; double r15285 = 0.16666666666666666; double r15286 = r15264 * r15285; double r15287 = r15268 * (r15268 * r15268); double r15288 = r15286 * r15287; double r15289 = 0.5; double r15290 = fma(r15289, r15264, r15268); double r15291 = r15264 * r15290; double r15292 = r15288 - r15291; double r15293 = r15270 * (r15270 * r15270); double r15294 = r15272 * r15271; double r15295 = r15294 * (r15294 * r15294); double r15296 = r15293 - r15295; double r15297 = r15269 * r15267; double r15298 = r15297 * r15297; double r15299 = log(r15298); double r15300 = exp(r15299); double r15301 = r15294 * r15294; double r15302 = r15297 * r15294; double r15303 = r15301 + r15302; double r15304 = r15300 + r15303; double r15305 = r15296 / r15304; double r15306 = r15305 - r15269; double r15307 = r15284 ? r15292 : r15306; double r15308 = r15266 ? r15282 : r15307; return r15308; } 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 r15309, r15310, r15311, r15312, r15313, r15314; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15309); mpfr_init(r15310); mpfr_init(r15311); mpfr_init(r15312); mpfr_init(r15313); mpfr_init(r15314); } double f_im(double x, double eps) { mpfr_set_d(r15309, x, MPFR_RNDN); mpfr_set_d(r15310, eps, MPFR_RNDN); mpfr_add(r15311, r15309, r15310, MPFR_RNDN); mpfr_cos(r15312, r15311, MPFR_RNDN); mpfr_cos(r15313, r15309, MPFR_RNDN); mpfr_sub(r15314, r15312, r15313, MPFR_RNDN); return mpfr_get_d(r15314, MPFR_RNDN); } static mpfr_t r15315, r15316, r15317, r15318, r15319, r15320, r15321, r15322, r15323, r15324, r15325, r15326, r15327, r15328, r15329, r15330, r15331, r15332, r15333, r15334, r15335, r15336, r15337, r15338, r15339, r15340, r15341, r15342, r15343, r15344, r15345, r15346, r15347, r15348, r15349, r15350, r15351, r15352, r15353, r15354, r15355, r15356, r15357, r15358, r15359; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15315); mpfr_init_set_str(r15316, "-6.974478371048821e-14", 10, MPFR_RNDN); mpfr_init(r15317); mpfr_init(r15318); mpfr_init(r15319); mpfr_init(r15320); mpfr_init(r15321); mpfr_init(r15322); mpfr_init(r15323); mpfr_init(r15324); mpfr_init(r15325); mpfr_init(r15326); mpfr_init(r15327); mpfr_init(r15328); mpfr_init(r15329); mpfr_init(r15330); mpfr_init(r15331); mpfr_init(r15332); mpfr_init(r15333); mpfr_init_set_str(r15334, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15335); mpfr_init_set_str(r15336, "1/6", 10, MPFR_RNDN); mpfr_init(r15337); mpfr_init(r15338); mpfr_init(r15339); mpfr_init_set_str(r15340, "1/2", 10, MPFR_RNDN); mpfr_init(r15341); mpfr_init(r15342); mpfr_init(r15343); mpfr_init(r15344); mpfr_init(r15345); mpfr_init(r15346); mpfr_init(r15347); mpfr_init(r15348); mpfr_init(r15349); mpfr_init(r15350); mpfr_init(r15351); mpfr_init(r15352); mpfr_init(r15353); mpfr_init(r15354); mpfr_init(r15355); mpfr_init(r15356); mpfr_init(r15357); mpfr_init(r15358); mpfr_init(r15359); } double f_fm(double x, double eps) { mpfr_set_d(r15315, eps, MPFR_RNDN); ; mpfr_set_si(r15317, mpfr_cmp(r15315, r15316) <= 0, MPFR_RNDN); mpfr_cos(r15318, r15315, MPFR_RNDN); mpfr_set_d(r15319, x, MPFR_RNDN); mpfr_cos(r15320, r15319, MPFR_RNDN); mpfr_mul(r15321, r15318, r15320, MPFR_RNDN); mpfr_sin(r15322, r15315, MPFR_RNDN); mpfr_sin(r15323, r15319, MPFR_RNDN); mpfr_mul(r15324, r15322, r15323, MPFR_RNDN); mpfr_sub(r15325, r15321, r15324, MPFR_RNDN); mpfr_mul(r15326, r15325, r15325, MPFR_RNDN); mpfr_mul(r15326, r15326, r15325, MPFR_RNDN); mpfr_mul(r15327, r15320, r15320, MPFR_RNDN); mpfr_mul(r15327, r15327, r15320, MPFR_RNDN); mpfr_sub(r15328, r15326, r15327, MPFR_RNDN); mpfr_fma(r15329, r15318, r15320, r15320, MPFR_RNDN); mpfr_sub(r15330, r15329, r15324, MPFR_RNDN); mpfr_mul(r15331, r15320, r15320, MPFR_RNDN); mpfr_fma(r15332, r15325, r15330, r15331, MPFR_RNDN); mpfr_div(r15333, r15328, r15332, MPFR_RNDN); ; mpfr_set_si(r15335, mpfr_cmp(r15315, r15334) <= 0, MPFR_RNDN); ; mpfr_mul(r15337, r15315, r15336, MPFR_RNDN); mpfr_mul(r15338, r15319, r15319, MPFR_RNDN); mpfr_mul(r15338, r15338, r15319, MPFR_RNDN); mpfr_mul(r15339, r15337, r15338, MPFR_RNDN); ; mpfr_fma(r15341, r15340, r15315, r15319, MPFR_RNDN); mpfr_mul(r15342, r15315, r15341, MPFR_RNDN); mpfr_sub(r15343, r15339, r15342, MPFR_RNDN); mpfr_mul(r15344, r15321, r15321, MPFR_RNDN); mpfr_mul(r15344, r15344, r15321, MPFR_RNDN); mpfr_mul(r15345, r15323, r15322, MPFR_RNDN); mpfr_mul(r15346, r15345, r15345, MPFR_RNDN); mpfr_mul(r15346, r15346, r15345, MPFR_RNDN); mpfr_sub(r15347, r15344, r15346, MPFR_RNDN); mpfr_mul(r15348, r15320, r15318, MPFR_RNDN); mpfr_sqr(r15349, r15348, MPFR_RNDN); mpfr_log(r15350, r15349, MPFR_RNDN); mpfr_exp(r15351, r15350, MPFR_RNDN); mpfr_sqr(r15352, r15345, MPFR_RNDN); mpfr_mul(r15353, r15348, r15345, MPFR_RNDN); mpfr_add(r15354, r15352, r15353, MPFR_RNDN); mpfr_add(r15355, r15351, r15354, MPFR_RNDN); mpfr_div(r15356, r15347, r15355, MPFR_RNDN); mpfr_sub(r15357, r15356, r15320, MPFR_RNDN); if (mpfr_get_si(r15335, MPFR_RNDN)) { mpfr_set(r15358, r15343, MPFR_RNDN); } else { mpfr_set(r15358, r15357, MPFR_RNDN); }; if (mpfr_get_si(r15317, MPFR_RNDN)) { mpfr_set(r15359, r15333, MPFR_RNDN); } else { mpfr_set(r15359, r15358, MPFR_RNDN); }; return mpfr_get_d(r15359, MPFR_RNDN); } static mpfr_t r15360, r15361, r15362, r15363, r15364, r15365, r15366, r15367, r15368, r15369, r15370, r15371, r15372, r15373, r15374, r15375, r15376, r15377, r15378, r15379, r15380, r15381, r15382, r15383, r15384, r15385, r15386, r15387, r15388, r15389, r15390, r15391, r15392, r15393, r15394, r15395, r15396, r15397, r15398, r15399, r15400, r15401, r15402, r15403, r15404; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15360); mpfr_init_set_str(r15361, "-6.974478371048821e-14", 10, MPFR_RNDN); mpfr_init(r15362); mpfr_init(r15363); mpfr_init(r15364); mpfr_init(r15365); mpfr_init(r15366); mpfr_init(r15367); mpfr_init(r15368); mpfr_init(r15369); mpfr_init(r15370); mpfr_init(r15371); mpfr_init(r15372); mpfr_init(r15373); mpfr_init(r15374); mpfr_init(r15375); mpfr_init(r15376); mpfr_init(r15377); mpfr_init(r15378); mpfr_init_set_str(r15379, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15380); mpfr_init_set_str(r15381, "1/6", 10, MPFR_RNDN); mpfr_init(r15382); mpfr_init(r15383); mpfr_init(r15384); mpfr_init_set_str(r15385, "1/2", 10, MPFR_RNDN); mpfr_init(r15386); mpfr_init(r15387); mpfr_init(r15388); mpfr_init(r15389); mpfr_init(r15390); mpfr_init(r15391); mpfr_init(r15392); mpfr_init(r15393); mpfr_init(r15394); mpfr_init(r15395); mpfr_init(r15396); mpfr_init(r15397); mpfr_init(r15398); mpfr_init(r15399); mpfr_init(r15400); mpfr_init(r15401); mpfr_init(r15402); mpfr_init(r15403); mpfr_init(r15404); } double f_dm(double x, double eps) { mpfr_set_d(r15360, eps, MPFR_RNDN); ; mpfr_set_si(r15362, mpfr_cmp(r15360, r15361) <= 0, MPFR_RNDN); mpfr_cos(r15363, r15360, MPFR_RNDN); mpfr_set_d(r15364, x, MPFR_RNDN); mpfr_cos(r15365, r15364, MPFR_RNDN); mpfr_mul(r15366, r15363, r15365, MPFR_RNDN); mpfr_sin(r15367, r15360, MPFR_RNDN); mpfr_sin(r15368, r15364, MPFR_RNDN); mpfr_mul(r15369, r15367, r15368, MPFR_RNDN); mpfr_sub(r15370, r15366, r15369, MPFR_RNDN); mpfr_mul(r15371, r15370, r15370, MPFR_RNDN); mpfr_mul(r15371, r15371, r15370, MPFR_RNDN); mpfr_mul(r15372, r15365, r15365, MPFR_RNDN); mpfr_mul(r15372, r15372, r15365, MPFR_RNDN); mpfr_sub(r15373, r15371, r15372, MPFR_RNDN); mpfr_fma(r15374, r15363, r15365, r15365, MPFR_RNDN); mpfr_sub(r15375, r15374, r15369, MPFR_RNDN); mpfr_mul(r15376, r15365, r15365, MPFR_RNDN); mpfr_fma(r15377, r15370, r15375, r15376, MPFR_RNDN); mpfr_div(r15378, r15373, r15377, MPFR_RNDN); ; mpfr_set_si(r15380, mpfr_cmp(r15360, r15379) <= 0, MPFR_RNDN); ; mpfr_mul(r15382, r15360, r15381, MPFR_RNDN); mpfr_mul(r15383, r15364, r15364, MPFR_RNDN); mpfr_mul(r15383, r15383, r15364, MPFR_RNDN); mpfr_mul(r15384, r15382, r15383, MPFR_RNDN); ; mpfr_fma(r15386, r15385, r15360, r15364, MPFR_RNDN); mpfr_mul(r15387, r15360, r15386, MPFR_RNDN); mpfr_sub(r15388, r15384, r15387, MPFR_RNDN); mpfr_mul(r15389, r15366, r15366, MPFR_RNDN); mpfr_mul(r15389, r15389, r15366, MPFR_RNDN); mpfr_mul(r15390, r15368, r15367, MPFR_RNDN); mpfr_mul(r15391, r15390, r15390, MPFR_RNDN); mpfr_mul(r15391, r15391, r15390, MPFR_RNDN); mpfr_sub(r15392, r15389, r15391, MPFR_RNDN); mpfr_mul(r15393, r15365, r15363, MPFR_RNDN); mpfr_sqr(r15394, r15393, MPFR_RNDN); mpfr_log(r15395, r15394, MPFR_RNDN); mpfr_exp(r15396, r15395, MPFR_RNDN); mpfr_sqr(r15397, r15390, MPFR_RNDN); mpfr_mul(r15398, r15393, r15390, MPFR_RNDN); mpfr_add(r15399, r15397, r15398, MPFR_RNDN); mpfr_add(r15400, r15396, r15399, MPFR_RNDN); mpfr_div(r15401, r15392, r15400, MPFR_RNDN); mpfr_sub(r15402, r15401, r15365, MPFR_RNDN); if (mpfr_get_si(r15380, MPFR_RNDN)) { mpfr_set(r15403, r15388, MPFR_RNDN); } else { mpfr_set(r15403, r15402, MPFR_RNDN); }; if (mpfr_get_si(r15362, MPFR_RNDN)) { mpfr_set(r15404, r15378, MPFR_RNDN); } else { mpfr_set(r15404, r15403, MPFR_RNDN); }; return mpfr_get_d(r15404, MPFR_RNDN); }