#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15195 = x; float r15196 = eps; float r15197 = r15195 + r15196; float r15198 = cos(r15197); float r15199 = cos(r15195); float r15200 = r15198 - r15199; return r15200; } double f_id(double x, double eps) { double r15201 = x; double r15202 = eps; double r15203 = r15201 + r15202; double r15204 = cos(r15203); double r15205 = cos(r15201); double r15206 = r15204 - r15205; return r15206; } double f_of(float x, float eps) { float r15207 = eps; float r15208 = -3.5438160870943954e-16f; bool r15209 = r15207 <= r15208; float r15210 = cos(r15207); float r15211 = x; float r15212 = cos(r15211); float r15213 = r15210 * r15212; float r15214 = r15213 * (r15213 * r15213); float r15215 = sin(r15211); float r15216 = sin(r15207); float r15217 = r15215 * r15216; float r15218 = r15212 + r15217; float r15219 = r15218 * (r15218 * r15218); float r15220 = r15214 - r15219; float r15221 = r15212 * r15210; float r15222 = r15221 * r15221; float r15223 = r15217 + r15212; float r15224 = r15223 * r15223; float r15225 = r15221 * r15223; float r15226 = r15224 + r15225; float r15227 = r15222 + r15226; float r15228 = r15220 / r15227; float r15229 = 2.1684847443054594e-32f; bool r15230 = r15207 <= r15229; float r15231 = 0.16666666666666666f; float r15232 = r15207 * r15231; float r15233 = r15211 * (r15211 * r15211); float r15234 = r15232 * r15233; float r15235 = 0.5f; float r15236 = r15207 * r15235; float r15237 = r15236 + r15211; float r15238 = r15207 * r15237; float r15239 = r15234 - r15238; float r15240 = r15215 * (r15215 * r15215); float r15241 = r15216 * (r15216 * r15216); float r15242 = r15240 * r15241; float r15243 = cbrt(r15242); float r15244 = r15243 + r15212; float r15245 = r15221 - r15244; float r15246 = r15230 ? r15239 : r15245; float r15247 = r15209 ? r15228 : r15246; return r15247; } double f_od(double x, double eps) { double r15248 = eps; double r15249 = -3.5438160870943954e-16; bool r15250 = r15248 <= r15249; double r15251 = cos(r15248); double r15252 = x; double r15253 = cos(r15252); double r15254 = r15251 * r15253; double r15255 = r15254 * (r15254 * r15254); double r15256 = sin(r15252); double r15257 = sin(r15248); double r15258 = r15256 * r15257; double r15259 = r15253 + r15258; double r15260 = r15259 * (r15259 * r15259); double r15261 = r15255 - r15260; double r15262 = r15253 * r15251; double r15263 = r15262 * r15262; double r15264 = r15258 + r15253; double r15265 = r15264 * r15264; double r15266 = r15262 * r15264; double r15267 = r15265 + r15266; double r15268 = r15263 + r15267; double r15269 = r15261 / r15268; double r15270 = 2.1684847443054594e-32; bool r15271 = r15248 <= r15270; double r15272 = 0.16666666666666666; double r15273 = r15248 * r15272; double r15274 = r15252 * (r15252 * r15252); double r15275 = r15273 * r15274; double r15276 = 0.5; double r15277 = r15248 * r15276; double r15278 = r15277 + r15252; double r15279 = r15248 * r15278; double r15280 = r15275 - r15279; double r15281 = r15256 * (r15256 * r15256); double r15282 = r15257 * (r15257 * r15257); double r15283 = r15281 * r15282; double r15284 = cbrt(r15283); double r15285 = r15284 + r15253; double r15286 = r15262 - r15285; double r15287 = r15271 ? r15280 : r15286; double r15288 = r15250 ? r15269 : r15287; return r15288; } 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 r15289, r15290, r15291, r15292, r15293, r15294; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15289); mpfr_init(r15290); mpfr_init(r15291); mpfr_init(r15292); mpfr_init(r15293); mpfr_init(r15294); } double f_im(double x, double eps) { mpfr_set_d(r15289, x, MPFR_RNDN); mpfr_set_d(r15290, eps, MPFR_RNDN); mpfr_add(r15291, r15289, r15290, MPFR_RNDN); mpfr_cos(r15292, r15291, MPFR_RNDN); mpfr_cos(r15293, r15289, MPFR_RNDN); mpfr_sub(r15294, r15292, r15293, MPFR_RNDN); return mpfr_get_d(r15294, MPFR_RNDN); } static mpfr_t r15295, r15296, r15297, r15298, r15299, r15300, r15301, r15302, r15303, r15304, r15305, r15306, r15307, r15308, r15309, r15310, r15311, r15312, r15313, r15314, r15315, r15316, r15317, r15318, r15319, r15320, r15321, r15322, r15323, r15324, r15325, r15326, r15327, r15328, r15329, r15330, r15331, r15332, r15333, r15334, r15335; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15295); mpfr_init_set_str(r15296, "-3.5438160870943954e-16", 10, MPFR_RNDN); mpfr_init(r15297); mpfr_init(r15298); mpfr_init(r15299); mpfr_init(r15300); mpfr_init(r15301); mpfr_init(r15302); mpfr_init(r15303); mpfr_init(r15304); mpfr_init(r15305); mpfr_init(r15306); mpfr_init(r15307); mpfr_init(r15308); mpfr_init(r15309); mpfr_init(r15310); mpfr_init(r15311); mpfr_init(r15312); mpfr_init(r15313); mpfr_init(r15314); mpfr_init(r15315); mpfr_init(r15316); mpfr_init_set_str(r15317, "2.1684847443054594e-32", 10, MPFR_RNDN); mpfr_init(r15318); mpfr_init_set_str(r15319, "1/6", 10, MPFR_RNDN); mpfr_init(r15320); mpfr_init(r15321); mpfr_init(r15322); mpfr_init_set_str(r15323, "1/2", 10, MPFR_RNDN); 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(r15334); mpfr_init(r15335); } double f_fm(double x, double eps) { mpfr_set_d(r15295, eps, MPFR_RNDN); ; mpfr_set_si(r15297, mpfr_cmp(r15295, r15296) <= 0, MPFR_RNDN); mpfr_cos(r15298, r15295, MPFR_RNDN); mpfr_set_d(r15299, x, MPFR_RNDN); mpfr_cos(r15300, r15299, MPFR_RNDN); mpfr_mul(r15301, r15298, r15300, MPFR_RNDN); mpfr_mul(r15302, r15301, r15301, MPFR_RNDN); mpfr_mul(r15302, r15302, r15301, MPFR_RNDN); mpfr_sin(r15303, r15299, MPFR_RNDN); mpfr_sin(r15304, r15295, MPFR_RNDN); mpfr_mul(r15305, r15303, r15304, MPFR_RNDN); mpfr_add(r15306, r15300, r15305, MPFR_RNDN); mpfr_mul(r15307, r15306, r15306, MPFR_RNDN); mpfr_mul(r15307, r15307, r15306, MPFR_RNDN); mpfr_sub(r15308, r15302, r15307, MPFR_RNDN); mpfr_mul(r15309, r15300, r15298, MPFR_RNDN); mpfr_sqr(r15310, r15309, MPFR_RNDN); mpfr_add(r15311, r15305, r15300, MPFR_RNDN); mpfr_sqr(r15312, r15311, MPFR_RNDN); mpfr_mul(r15313, r15309, r15311, MPFR_RNDN); mpfr_add(r15314, r15312, r15313, MPFR_RNDN); mpfr_add(r15315, r15310, r15314, MPFR_RNDN); mpfr_div(r15316, r15308, r15315, MPFR_RNDN); ; mpfr_set_si(r15318, mpfr_cmp(r15295, r15317) <= 0, MPFR_RNDN); ; mpfr_mul(r15320, r15295, r15319, MPFR_RNDN); mpfr_mul(r15321, r15299, r15299, MPFR_RNDN); mpfr_mul(r15321, r15321, r15299, MPFR_RNDN); mpfr_mul(r15322, r15320, r15321, MPFR_RNDN); ; mpfr_mul(r15324, r15295, r15323, MPFR_RNDN); mpfr_add(r15325, r15324, r15299, MPFR_RNDN); mpfr_mul(r15326, r15295, r15325, MPFR_RNDN); mpfr_sub(r15327, r15322, r15326, MPFR_RNDN); mpfr_mul(r15328, r15303, r15303, MPFR_RNDN); mpfr_mul(r15328, r15328, r15303, MPFR_RNDN); mpfr_mul(r15329, r15304, r15304, MPFR_RNDN); mpfr_mul(r15329, r15329, r15304, MPFR_RNDN); mpfr_mul(r15330, r15328, r15329, MPFR_RNDN); mpfr_cbrt(r15331, r15330, MPFR_RNDN); mpfr_add(r15332, r15331, r15300, MPFR_RNDN); mpfr_sub(r15333, r15309, r15332, MPFR_RNDN); if (mpfr_get_si(r15318, MPFR_RNDN)) { mpfr_set(r15334, r15327, MPFR_RNDN); } else { mpfr_set(r15334, r15333, MPFR_RNDN); }; if (mpfr_get_si(r15297, MPFR_RNDN)) { mpfr_set(r15335, r15316, MPFR_RNDN); } else { mpfr_set(r15335, r15334, MPFR_RNDN); }; return mpfr_get_d(r15335, MPFR_RNDN); } static mpfr_t r15336, r15337, r15338, r15339, r15340, r15341, r15342, r15343, r15344, r15345, r15346, r15347, r15348, r15349, r15350, r15351, r15352, r15353, r15354, r15355, r15356, r15357, r15358, r15359, r15360, r15361, r15362, r15363, r15364, r15365, r15366, r15367, r15368, r15369, r15370, r15371, r15372, r15373, r15374, r15375, r15376; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15336); mpfr_init_set_str(r15337, "-3.5438160870943954e-16", 10, MPFR_RNDN); mpfr_init(r15338); mpfr_init(r15339); mpfr_init(r15340); 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_set_str(r15358, "2.1684847443054594e-32", 10, MPFR_RNDN); mpfr_init(r15359); mpfr_init_set_str(r15360, "1/6", 10, MPFR_RNDN); mpfr_init(r15361); mpfr_init(r15362); mpfr_init(r15363); mpfr_init_set_str(r15364, "1/2", 10, MPFR_RNDN); 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); } double f_dm(double x, double eps) { mpfr_set_d(r15336, eps, MPFR_RNDN); ; mpfr_set_si(r15338, mpfr_cmp(r15336, r15337) <= 0, MPFR_RNDN); mpfr_cos(r15339, r15336, MPFR_RNDN); mpfr_set_d(r15340, x, MPFR_RNDN); mpfr_cos(r15341, r15340, MPFR_RNDN); mpfr_mul(r15342, r15339, r15341, MPFR_RNDN); mpfr_mul(r15343, r15342, r15342, MPFR_RNDN); mpfr_mul(r15343, r15343, r15342, MPFR_RNDN); mpfr_sin(r15344, r15340, MPFR_RNDN); mpfr_sin(r15345, r15336, MPFR_RNDN); mpfr_mul(r15346, r15344, r15345, MPFR_RNDN); mpfr_add(r15347, r15341, r15346, MPFR_RNDN); mpfr_mul(r15348, r15347, r15347, MPFR_RNDN); mpfr_mul(r15348, r15348, r15347, MPFR_RNDN); mpfr_sub(r15349, r15343, r15348, MPFR_RNDN); mpfr_mul(r15350, r15341, r15339, MPFR_RNDN); mpfr_sqr(r15351, r15350, MPFR_RNDN); mpfr_add(r15352, r15346, r15341, MPFR_RNDN); mpfr_sqr(r15353, r15352, MPFR_RNDN); mpfr_mul(r15354, r15350, r15352, MPFR_RNDN); mpfr_add(r15355, r15353, r15354, MPFR_RNDN); mpfr_add(r15356, r15351, r15355, MPFR_RNDN); mpfr_div(r15357, r15349, r15356, MPFR_RNDN); ; mpfr_set_si(r15359, mpfr_cmp(r15336, r15358) <= 0, MPFR_RNDN); ; mpfr_mul(r15361, r15336, r15360, MPFR_RNDN); mpfr_mul(r15362, r15340, r15340, MPFR_RNDN); mpfr_mul(r15362, r15362, r15340, MPFR_RNDN); mpfr_mul(r15363, r15361, r15362, MPFR_RNDN); ; mpfr_mul(r15365, r15336, r15364, MPFR_RNDN); mpfr_add(r15366, r15365, r15340, MPFR_RNDN); mpfr_mul(r15367, r15336, r15366, MPFR_RNDN); mpfr_sub(r15368, r15363, r15367, MPFR_RNDN); mpfr_mul(r15369, r15344, r15344, MPFR_RNDN); mpfr_mul(r15369, r15369, r15344, MPFR_RNDN); mpfr_mul(r15370, r15345, r15345, MPFR_RNDN); mpfr_mul(r15370, r15370, r15345, MPFR_RNDN); mpfr_mul(r15371, r15369, r15370, MPFR_RNDN); mpfr_cbrt(r15372, r15371, MPFR_RNDN); mpfr_add(r15373, r15372, r15341, MPFR_RNDN); mpfr_sub(r15374, r15350, r15373, MPFR_RNDN); if (mpfr_get_si(r15359, MPFR_RNDN)) { mpfr_set(r15375, r15368, MPFR_RNDN); } else { mpfr_set(r15375, r15374, MPFR_RNDN); }; if (mpfr_get_si(r15338, MPFR_RNDN)) { mpfr_set(r15376, r15357, MPFR_RNDN); } else { mpfr_set(r15376, r15375, MPFR_RNDN); }; return mpfr_get_d(r15376, MPFR_RNDN); }