#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15187 = x; float r15188 = eps; float r15189 = r15187 + r15188; float r15190 = cos(r15189); float r15191 = cos(r15187); float r15192 = r15190 - r15191; return r15192; } double f_id(double x, double eps) { double r15193 = x; double r15194 = eps; double r15195 = r15193 + r15194; double r15196 = cos(r15195); double r15197 = cos(r15193); double r15198 = r15196 - r15197; return r15198; } double f_of(float x, float eps) { float r15199 = eps; float r15200 = -6.974478371048821e-14f; bool r15201 = r15199 <= r15200; float r15202 = x; float r15203 = cos(r15202); float r15204 = cos(r15199); float r15205 = r15203 * r15204; float r15206 = sin(r15202); float r15207 = sin(r15199); float r15208 = r15206 * r15207; float r15209 = r15205 - r15208; float r15210 = expm1(r15209); float r15211 = log1p(r15210); float r15212 = r15211 - r15203; float r15213 = 0.00018005451351709028f; bool r15214 = r15199 <= r15213; float r15215 = r15202 + r15199; float r15216 = cos(r15215); float r15217 = sqrt(r15216); float r15218 = sqrt(r15203); float r15219 = r15217 + r15218; float r15220 = r15199 * (r15199 * r15199); float r15221 = 0.0625f; float r15222 = -r15221; float r15223 = r15202 * (r15202 * r15202); float r15224 = r15222 * r15223; float r15225 = -r15199; float r15226 = 0.25f; float r15227 = 0.5f; float r15228 = r15202 * r15227; float r15229 = fma(r15226, r15199, r15228); float r15230 = r15225 * r15229; float r15231 = fma(r15220, r15224, r15230); float r15232 = r15219 * r15231; float r15233 = r15204 * r15203; float r15234 = r15233 * (r15233 * r15233); float r15235 = r15208 * (r15208 * r15208); float r15236 = r15234 - r15235; float r15237 = r15205 * r15205; float r15238 = r15208 * r15208; float r15239 = r15205 * r15208; float r15240 = r15238 + r15239; float r15241 = r15237 + r15240; float r15242 = r15236 / r15241; float r15243 = r15242 - r15203; float r15244 = r15214 ? r15232 : r15243; float r15245 = r15201 ? r15212 : r15244; return r15245; } double f_od(double x, double eps) { double r15246 = eps; double r15247 = -6.974478371048821e-14; bool r15248 = r15246 <= r15247; double r15249 = x; double r15250 = cos(r15249); double r15251 = cos(r15246); double r15252 = r15250 * r15251; double r15253 = sin(r15249); double r15254 = sin(r15246); double r15255 = r15253 * r15254; double r15256 = r15252 - r15255; double r15257 = expm1(r15256); double r15258 = log1p(r15257); double r15259 = r15258 - r15250; double r15260 = 0.00018005451351709028; bool r15261 = r15246 <= r15260; double r15262 = r15249 + r15246; double r15263 = cos(r15262); double r15264 = sqrt(r15263); double r15265 = sqrt(r15250); double r15266 = r15264 + r15265; double r15267 = r15246 * (r15246 * r15246); double r15268 = 0.0625; double r15269 = -r15268; double r15270 = r15249 * (r15249 * r15249); double r15271 = r15269 * r15270; double r15272 = -r15246; double r15273 = 0.25; double r15274 = 0.5; double r15275 = r15249 * r15274; double r15276 = fma(r15273, r15246, r15275); double r15277 = r15272 * r15276; double r15278 = fma(r15267, r15271, r15277); double r15279 = r15266 * r15278; double r15280 = r15251 * r15250; double r15281 = r15280 * (r15280 * r15280); double r15282 = r15255 * (r15255 * r15255); double r15283 = r15281 - r15282; double r15284 = r15252 * r15252; double r15285 = r15255 * r15255; double r15286 = r15252 * r15255; double r15287 = r15285 + r15286; double r15288 = r15284 + r15287; double r15289 = r15283 / r15288; double r15290 = r15289 - r15250; double r15291 = r15261 ? r15279 : r15290; double r15292 = r15248 ? r15259 : r15291; return r15292; } 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 r15293, r15294, r15295, r15296, r15297, r15298; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15293); mpfr_init(r15294); mpfr_init(r15295); mpfr_init(r15296); mpfr_init(r15297); mpfr_init(r15298); } double f_im(double x, double eps) { mpfr_set_d(r15293, x, MPFR_RNDN); mpfr_set_d(r15294, eps, MPFR_RNDN); mpfr_add(r15295, r15293, r15294, MPFR_RNDN); mpfr_cos(r15296, r15295, MPFR_RNDN); mpfr_cos(r15297, r15293, MPFR_RNDN); mpfr_sub(r15298, r15296, r15297, MPFR_RNDN); return mpfr_get_d(r15298, MPFR_RNDN); } static mpfr_t 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, r15336, r15337, r15338, r15339, r15340, r15341, r15342, r15343, r15344, r15345; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15299); mpfr_init_set_str(r15300, "-6.974478371048821e-14", 10, MPFR_RNDN); 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_set_str(r15313, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15314); mpfr_init(r15315); mpfr_init(r15316); mpfr_init(r15317); mpfr_init(r15318); mpfr_init(r15319); mpfr_init(r15320); mpfr_init_set_str(r15321, "1/16", 10, MPFR_RNDN); mpfr_init(r15322); mpfr_init(r15323); mpfr_init(r15324); mpfr_init(r15325); mpfr_init_set_str(r15326, "1/4", 10, MPFR_RNDN); mpfr_init_set_str(r15327, "1/2", 10, MPFR_RNDN); mpfr_init(r15328); mpfr_init(r15329); mpfr_init(r15330); mpfr_init(r15331); mpfr_init(r15332); mpfr_init(r15333); mpfr_init(r15334); mpfr_init(r15335); mpfr_init(r15336); mpfr_init(r15337); mpfr_init(r15338); mpfr_init(r15339); mpfr_init(r15340); mpfr_init(r15341); mpfr_init(r15342); mpfr_init(r15343); mpfr_init(r15344); mpfr_init(r15345); } double f_fm(double x, double eps) { mpfr_set_d(r15299, eps, MPFR_RNDN); ; mpfr_set_si(r15301, mpfr_cmp(r15299, r15300) <= 0, MPFR_RNDN); mpfr_set_d(r15302, x, MPFR_RNDN); mpfr_cos(r15303, r15302, MPFR_RNDN); mpfr_cos(r15304, r15299, MPFR_RNDN); mpfr_mul(r15305, r15303, r15304, MPFR_RNDN); mpfr_sin(r15306, r15302, MPFR_RNDN); mpfr_sin(r15307, r15299, MPFR_RNDN); mpfr_mul(r15308, r15306, r15307, MPFR_RNDN); mpfr_sub(r15309, r15305, r15308, MPFR_RNDN); mpfr_expm1(r15310, r15309, MPFR_RNDN); mpfr_log1p(r15311, r15310, MPFR_RNDN); mpfr_sub(r15312, r15311, r15303, MPFR_RNDN); ; mpfr_set_si(r15314, mpfr_cmp(r15299, r15313) <= 0, MPFR_RNDN); mpfr_add(r15315, r15302, r15299, MPFR_RNDN); mpfr_cos(r15316, r15315, MPFR_RNDN); mpfr_sqrt(r15317, r15316, MPFR_RNDN); mpfr_sqrt(r15318, r15303, MPFR_RNDN); mpfr_add(r15319, r15317, r15318, MPFR_RNDN); mpfr_mul(r15320, r15299, r15299, MPFR_RNDN); mpfr_mul(r15320, r15320, r15299, MPFR_RNDN); ; mpfr_neg(r15322, r15321, MPFR_RNDN); mpfr_mul(r15323, r15302, r15302, MPFR_RNDN); mpfr_mul(r15323, r15323, r15302, MPFR_RNDN); mpfr_mul(r15324, r15322, r15323, MPFR_RNDN); mpfr_neg(r15325, r15299, MPFR_RNDN); ; ; mpfr_mul(r15328, r15302, r15327, MPFR_RNDN); mpfr_fma(r15329, r15326, r15299, r15328, MPFR_RNDN); mpfr_mul(r15330, r15325, r15329, MPFR_RNDN); mpfr_fma(r15331, r15320, r15324, r15330, MPFR_RNDN); mpfr_mul(r15332, r15319, r15331, MPFR_RNDN); mpfr_mul(r15333, r15304, r15303, MPFR_RNDN); mpfr_mul(r15334, r15333, r15333, MPFR_RNDN); mpfr_mul(r15334, r15334, r15333, MPFR_RNDN); mpfr_mul(r15335, r15308, r15308, MPFR_RNDN); mpfr_mul(r15335, r15335, r15308, MPFR_RNDN); mpfr_sub(r15336, r15334, r15335, MPFR_RNDN); mpfr_sqr(r15337, r15305, MPFR_RNDN); mpfr_sqr(r15338, r15308, MPFR_RNDN); mpfr_mul(r15339, r15305, r15308, MPFR_RNDN); mpfr_add(r15340, r15338, r15339, MPFR_RNDN); mpfr_add(r15341, r15337, r15340, MPFR_RNDN); mpfr_div(r15342, r15336, r15341, MPFR_RNDN); mpfr_sub(r15343, r15342, r15303, MPFR_RNDN); if (mpfr_get_si(r15314, MPFR_RNDN)) { mpfr_set(r15344, r15332, MPFR_RNDN); } else { mpfr_set(r15344, r15343, MPFR_RNDN); }; if (mpfr_get_si(r15301, MPFR_RNDN)) { mpfr_set(r15345, r15312, MPFR_RNDN); } else { mpfr_set(r15345, r15344, MPFR_RNDN); }; return mpfr_get_d(r15345, MPFR_RNDN); } static mpfr_t 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, r15377, r15378, r15379, r15380, r15381, r15382, r15383, r15384, r15385, r15386, r15387, r15388, r15389, r15390, r15391, r15392; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15346); mpfr_init_set_str(r15347, "-6.974478371048821e-14", 10, MPFR_RNDN); 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); mpfr_init_set_str(r15360, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15361); mpfr_init(r15362); mpfr_init(r15363); mpfr_init(r15364); mpfr_init(r15365); mpfr_init(r15366); mpfr_init(r15367); mpfr_init_set_str(r15368, "1/16", 10, MPFR_RNDN); mpfr_init(r15369); mpfr_init(r15370); mpfr_init(r15371); mpfr_init(r15372); mpfr_init_set_str(r15373, "1/4", 10, MPFR_RNDN); mpfr_init_set_str(r15374, "1/2", 10, MPFR_RNDN); mpfr_init(r15375); mpfr_init(r15376); mpfr_init(r15377); mpfr_init(r15378); mpfr_init(r15379); mpfr_init(r15380); mpfr_init(r15381); mpfr_init(r15382); mpfr_init(r15383); mpfr_init(r15384); mpfr_init(r15385); mpfr_init(r15386); mpfr_init(r15387); mpfr_init(r15388); mpfr_init(r15389); mpfr_init(r15390); mpfr_init(r15391); mpfr_init(r15392); } double f_dm(double x, double eps) { mpfr_set_d(r15346, eps, MPFR_RNDN); ; mpfr_set_si(r15348, mpfr_cmp(r15346, r15347) <= 0, MPFR_RNDN); mpfr_set_d(r15349, x, MPFR_RNDN); mpfr_cos(r15350, r15349, MPFR_RNDN); mpfr_cos(r15351, r15346, MPFR_RNDN); mpfr_mul(r15352, r15350, r15351, MPFR_RNDN); mpfr_sin(r15353, r15349, MPFR_RNDN); mpfr_sin(r15354, r15346, MPFR_RNDN); mpfr_mul(r15355, r15353, r15354, MPFR_RNDN); mpfr_sub(r15356, r15352, r15355, MPFR_RNDN); mpfr_expm1(r15357, r15356, MPFR_RNDN); mpfr_log1p(r15358, r15357, MPFR_RNDN); mpfr_sub(r15359, r15358, r15350, MPFR_RNDN); ; mpfr_set_si(r15361, mpfr_cmp(r15346, r15360) <= 0, MPFR_RNDN); mpfr_add(r15362, r15349, r15346, MPFR_RNDN); mpfr_cos(r15363, r15362, MPFR_RNDN); mpfr_sqrt(r15364, r15363, MPFR_RNDN); mpfr_sqrt(r15365, r15350, MPFR_RNDN); mpfr_add(r15366, r15364, r15365, MPFR_RNDN); mpfr_mul(r15367, r15346, r15346, MPFR_RNDN); mpfr_mul(r15367, r15367, r15346, MPFR_RNDN); ; mpfr_neg(r15369, r15368, MPFR_RNDN); mpfr_mul(r15370, r15349, r15349, MPFR_RNDN); mpfr_mul(r15370, r15370, r15349, MPFR_RNDN); mpfr_mul(r15371, r15369, r15370, MPFR_RNDN); mpfr_neg(r15372, r15346, MPFR_RNDN); ; ; mpfr_mul(r15375, r15349, r15374, MPFR_RNDN); mpfr_fma(r15376, r15373, r15346, r15375, MPFR_RNDN); mpfr_mul(r15377, r15372, r15376, MPFR_RNDN); mpfr_fma(r15378, r15367, r15371, r15377, MPFR_RNDN); mpfr_mul(r15379, r15366, r15378, MPFR_RNDN); mpfr_mul(r15380, r15351, r15350, MPFR_RNDN); mpfr_mul(r15381, r15380, r15380, MPFR_RNDN); mpfr_mul(r15381, r15381, r15380, MPFR_RNDN); mpfr_mul(r15382, r15355, r15355, MPFR_RNDN); mpfr_mul(r15382, r15382, r15355, MPFR_RNDN); mpfr_sub(r15383, r15381, r15382, MPFR_RNDN); mpfr_sqr(r15384, r15352, MPFR_RNDN); mpfr_sqr(r15385, r15355, MPFR_RNDN); mpfr_mul(r15386, r15352, r15355, MPFR_RNDN); mpfr_add(r15387, r15385, r15386, MPFR_RNDN); mpfr_add(r15388, r15384, r15387, MPFR_RNDN); mpfr_div(r15389, r15383, r15388, MPFR_RNDN); mpfr_sub(r15390, r15389, r15350, MPFR_RNDN); if (mpfr_get_si(r15361, MPFR_RNDN)) { mpfr_set(r15391, r15379, MPFR_RNDN); } else { mpfr_set(r15391, r15390, MPFR_RNDN); }; if (mpfr_get_si(r15348, MPFR_RNDN)) { mpfr_set(r15392, r15359, MPFR_RNDN); } else { mpfr_set(r15392, r15391, MPFR_RNDN); }; return mpfr_get_d(r15392, MPFR_RNDN); }