#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r16196 = x; float r16197 = eps; float r16198 = r16196 + r16197; float r16199 = tan(r16198); float r16200 = tan(r16196); float r16201 = r16199 - r16200; return r16201; } double f_id(double x, double eps) { double r16202 = x; double r16203 = eps; double r16204 = r16202 + r16203; double r16205 = tan(r16204); double r16206 = tan(r16202); double r16207 = r16205 - r16206; return r16207; } double f_of(float x, float eps) { float r16208 = x; float r16209 = eps; float r16210 = r16208 + r16209; float r16211 = tan(r16210); float r16212 = tan(r16208); float r16213 = r16211 - r16212; float r16214 = -0.005046448670327663f; bool r16215 = r16213 <= r16214; float r16216 = r16213 * (r16213 * r16213); float r16217 = cbrt(r16216); float r16218 = 0.0006144298240542412f; bool r16219 = r16213 <= r16218; float r16220 = cos(r16208); float r16221 = r16209 / r16220; float r16222 = sin(r16208); float r16223 = r16220 / r16222; float r16224 = r16222 / r16223; float r16225 = r16209 * r16209; float r16226 = r16225 / r16220; float r16227 = r16222 * r16226; float r16228 = fma(r16221, r16224, r16227); float r16229 = r16220 * (r16220 * r16220); float r16230 = r16225 / r16229; float r16231 = r16222 * (r16222 * r16222); float r16232 = 0.3333333432674408f; float r16233 = r16209 * (r16209 * r16209); float r16234 = r16232 * r16233; float r16235 = fma(r16230, r16231, r16234); float r16236 = r16228 + r16235; float r16237 = 4.0f; float r16238 = pow(r16220, r16237); float r16239 = r16233 / r16238; float r16240 = pow(r16222, r16237); float r16241 = 1.3333333730697632f; float r16242 = r16241 / r16220; float r16243 = r16222 * r16222; float r16244 = r16220 / r16233; float r16245 = r16243 / r16244; float r16246 = fma(r16242, r16245, r16209); float r16247 = fma(r16239, r16240, r16246); float r16248 = r16236 + r16247; float r16249 = expm1(r16212); float r16250 = exp(r16249); float r16251 = log(r16250); float r16252 = log1p(r16251); float r16253 = r16211 - r16252; float r16254 = r16219 ? r16248 : r16253; float r16255 = r16215 ? r16217 : r16254; return r16255; } double f_od(double x, double eps) { double r16256 = x; double r16257 = eps; double r16258 = r16256 + r16257; double r16259 = tan(r16258); double r16260 = tan(r16256); double r16261 = r16259 - r16260; double r16262 = -0.005046448670327663; bool r16263 = r16261 <= r16262; double r16264 = r16261 * (r16261 * r16261); double r16265 = cbrt(r16264); double r16266 = 0.0006144298240542412; bool r16267 = r16261 <= r16266; double r16268 = cos(r16256); double r16269 = r16257 / r16268; double r16270 = sin(r16256); double r16271 = r16268 / r16270; double r16272 = r16270 / r16271; double r16273 = r16257 * r16257; double r16274 = r16273 / r16268; double r16275 = r16270 * r16274; double r16276 = fma(r16269, r16272, r16275); double r16277 = r16268 * (r16268 * r16268); double r16278 = r16273 / r16277; double r16279 = r16270 * (r16270 * r16270); double r16280 = 0.3333333432674408; double r16281 = r16257 * (r16257 * r16257); double r16282 = r16280 * r16281; double r16283 = fma(r16278, r16279, r16282); double r16284 = r16276 + r16283; double r16285 = 4.0; double r16286 = pow(r16268, r16285); double r16287 = r16281 / r16286; double r16288 = pow(r16270, r16285); double r16289 = 1.3333333730697632; double r16290 = r16289 / r16268; double r16291 = r16270 * r16270; double r16292 = r16268 / r16281; double r16293 = r16291 / r16292; double r16294 = fma(r16290, r16293, r16257); double r16295 = fma(r16287, r16288, r16294); double r16296 = r16284 + r16295; double r16297 = expm1(r16260); double r16298 = exp(r16297); double r16299 = log(r16298); double r16300 = log1p(r16299); double r16301 = r16259 - r16300; double r16302 = r16267 ? r16296 : r16301; double r16303 = r16263 ? r16265 : r16302; return r16303; } 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 r16304, r16305, r16306, r16307, r16308, r16309; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r16304); mpfr_init(r16305); mpfr_init(r16306); mpfr_init(r16307); mpfr_init(r16308); mpfr_init(r16309); } double f_im(double x, double eps) { mpfr_set_d(r16304, x, MPFR_RNDN); mpfr_set_d(r16305, eps, MPFR_RNDN); mpfr_add(r16306, r16304, r16305, MPFR_RNDN); mpfr_tan(r16307, r16306, MPFR_RNDN); mpfr_tan(r16308, r16304, MPFR_RNDN); mpfr_sub(r16309, r16307, r16308, MPFR_RNDN); return mpfr_get_d(r16309, MPFR_RNDN); } static mpfr_t r16310, r16311, r16312, r16313, r16314, r16315, r16316, r16317, r16318, r16319, r16320, r16321, r16322, r16323, r16324, r16325, r16326, r16327, r16328, r16329, r16330, r16331, r16332, r16333, r16334, r16335, r16336, r16337, r16338, r16339, r16340, r16341, r16342, r16343, r16344, r16345, r16346, r16347, r16348, r16349, r16350, r16351, r16352, r16353, r16354, r16355, r16356, r16357; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r16310); mpfr_init(r16311); mpfr_init(r16312); mpfr_init(r16313); mpfr_init(r16314); mpfr_init(r16315); mpfr_init_set_str(r16316, "-0.0050464487f0", 10, MPFR_RNDN); mpfr_init(r16317); mpfr_init(r16318); mpfr_init(r16319); mpfr_init_set_str(r16320, "0.0006144298f0", 10, MPFR_RNDN); mpfr_init(r16321); mpfr_init(r16322); mpfr_init(r16323); mpfr_init(r16324); mpfr_init(r16325); mpfr_init(r16326); mpfr_init(r16327); mpfr_init(r16328); mpfr_init(r16329); mpfr_init(r16330); mpfr_init(r16331); mpfr_init(r16332); mpfr_init(r16333); mpfr_init_set_str(r16334, "1/3", 10, MPFR_RNDN); mpfr_init(r16335); mpfr_init(r16336); mpfr_init(r16337); mpfr_init(r16338); mpfr_init_set_str(r16339, "4", 10, MPFR_RNDN); mpfr_init(r16340); mpfr_init(r16341); mpfr_init(r16342); mpfr_init_set_str(r16343, "4/3", 10, MPFR_RNDN); mpfr_init(r16344); mpfr_init(r16345); mpfr_init(r16346); mpfr_init(r16347); mpfr_init(r16348); mpfr_init(r16349); mpfr_init(r16350); mpfr_init(r16351); mpfr_init(r16352); mpfr_init(r16353); mpfr_init(r16354); mpfr_init(r16355); mpfr_init(r16356); mpfr_init(r16357); } double f_fm(double x, double eps) { mpfr_set_d(r16310, x, MPFR_RNDN); mpfr_set_d(r16311, eps, MPFR_RNDN); mpfr_add(r16312, r16310, r16311, MPFR_RNDN); mpfr_tan(r16313, r16312, MPFR_RNDN); mpfr_tan(r16314, r16310, MPFR_RNDN); mpfr_sub(r16315, r16313, r16314, MPFR_RNDN); ; mpfr_set_si(r16317, mpfr_cmp(r16315, r16316) <= 0, MPFR_RNDN); mpfr_mul(r16318, r16315, r16315, MPFR_RNDN); mpfr_mul(r16318, r16318, r16315, MPFR_RNDN); mpfr_cbrt(r16319, r16318, MPFR_RNDN); ; mpfr_set_si(r16321, mpfr_cmp(r16315, r16320) <= 0, MPFR_RNDN); mpfr_cos(r16322, r16310, MPFR_RNDN); mpfr_div(r16323, r16311, r16322, MPFR_RNDN); mpfr_sin(r16324, r16310, MPFR_RNDN); mpfr_div(r16325, r16322, r16324, MPFR_RNDN); mpfr_div(r16326, r16324, r16325, MPFR_RNDN); mpfr_sqr(r16327, r16311, MPFR_RNDN); mpfr_div(r16328, r16327, r16322, MPFR_RNDN); mpfr_mul(r16329, r16324, r16328, MPFR_RNDN); mpfr_fma(r16330, r16323, r16326, r16329, MPFR_RNDN); mpfr_mul(r16331, r16322, r16322, MPFR_RNDN); mpfr_mul(r16331, r16331, r16322, MPFR_RNDN); mpfr_div(r16332, r16327, r16331, MPFR_RNDN); mpfr_mul(r16333, r16324, r16324, MPFR_RNDN); mpfr_mul(r16333, r16333, r16324, MPFR_RNDN); ; mpfr_mul(r16335, r16311, r16311, MPFR_RNDN); mpfr_mul(r16335, r16335, r16311, MPFR_RNDN); mpfr_mul(r16336, r16334, r16335, MPFR_RNDN); mpfr_fma(r16337, r16332, r16333, r16336, MPFR_RNDN); mpfr_add(r16338, r16330, r16337, MPFR_RNDN); ; mpfr_pow(r16340, r16322, r16339, MPFR_RNDN); mpfr_div(r16341, r16335, r16340, MPFR_RNDN); mpfr_pow(r16342, r16324, r16339, MPFR_RNDN); ; mpfr_div(r16344, r16343, r16322, MPFR_RNDN); mpfr_mul(r16345, r16324, r16324, MPFR_RNDN); mpfr_div(r16346, r16322, r16335, MPFR_RNDN); mpfr_div(r16347, r16345, r16346, MPFR_RNDN); mpfr_fma(r16348, r16344, r16347, r16311, MPFR_RNDN); mpfr_fma(r16349, r16341, r16342, r16348, MPFR_RNDN); mpfr_add(r16350, r16338, r16349, MPFR_RNDN); mpfr_expm1(r16351, r16314, MPFR_RNDN); mpfr_exp(r16352, r16351, MPFR_RNDN); mpfr_log(r16353, r16352, MPFR_RNDN); mpfr_log1p(r16354, r16353, MPFR_RNDN); mpfr_sub(r16355, r16313, r16354, MPFR_RNDN); if (mpfr_get_si(r16321, MPFR_RNDN)) { mpfr_set(r16356, r16350, MPFR_RNDN); } else { mpfr_set(r16356, r16355, MPFR_RNDN); }; if (mpfr_get_si(r16317, MPFR_RNDN)) { mpfr_set(r16357, r16319, MPFR_RNDN); } else { mpfr_set(r16357, r16356, MPFR_RNDN); }; return mpfr_get_d(r16357, MPFR_RNDN); } static mpfr_t r16358, r16359, r16360, r16361, r16362, r16363, r16364, r16365, r16366, r16367, r16368, r16369, r16370, r16371, r16372, r16373, r16374, r16375, r16376, r16377, r16378, r16379, r16380, r16381, r16382, r16383, r16384, r16385, r16386, r16387, r16388, r16389, r16390, r16391, r16392, r16393, r16394, r16395, r16396, r16397, r16398, r16399, r16400, r16401, r16402, r16403, r16404, r16405; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r16358); mpfr_init(r16359); mpfr_init(r16360); mpfr_init(r16361); mpfr_init(r16362); mpfr_init(r16363); mpfr_init_set_str(r16364, "-0.0050464487f0", 10, MPFR_RNDN); mpfr_init(r16365); mpfr_init(r16366); mpfr_init(r16367); mpfr_init_set_str(r16368, "0.0006144298f0", 10, MPFR_RNDN); mpfr_init(r16369); mpfr_init(r16370); mpfr_init(r16371); mpfr_init(r16372); mpfr_init(r16373); mpfr_init(r16374); mpfr_init(r16375); mpfr_init(r16376); mpfr_init(r16377); mpfr_init(r16378); mpfr_init(r16379); mpfr_init(r16380); mpfr_init(r16381); mpfr_init_set_str(r16382, "1/3", 10, MPFR_RNDN); mpfr_init(r16383); mpfr_init(r16384); mpfr_init(r16385); mpfr_init(r16386); mpfr_init_set_str(r16387, "4", 10, MPFR_RNDN); mpfr_init(r16388); mpfr_init(r16389); mpfr_init(r16390); mpfr_init_set_str(r16391, "4/3", 10, MPFR_RNDN); mpfr_init(r16392); mpfr_init(r16393); mpfr_init(r16394); mpfr_init(r16395); mpfr_init(r16396); mpfr_init(r16397); mpfr_init(r16398); mpfr_init(r16399); mpfr_init(r16400); mpfr_init(r16401); mpfr_init(r16402); mpfr_init(r16403); mpfr_init(r16404); mpfr_init(r16405); } double f_dm(double x, double eps) { mpfr_set_d(r16358, x, MPFR_RNDN); mpfr_set_d(r16359, eps, MPFR_RNDN); mpfr_add(r16360, r16358, r16359, MPFR_RNDN); mpfr_tan(r16361, r16360, MPFR_RNDN); mpfr_tan(r16362, r16358, MPFR_RNDN); mpfr_sub(r16363, r16361, r16362, MPFR_RNDN); ; mpfr_set_si(r16365, mpfr_cmp(r16363, r16364) <= 0, MPFR_RNDN); mpfr_mul(r16366, r16363, r16363, MPFR_RNDN); mpfr_mul(r16366, r16366, r16363, MPFR_RNDN); mpfr_cbrt(r16367, r16366, MPFR_RNDN); ; mpfr_set_si(r16369, mpfr_cmp(r16363, r16368) <= 0, MPFR_RNDN); mpfr_cos(r16370, r16358, MPFR_RNDN); mpfr_div(r16371, r16359, r16370, MPFR_RNDN); mpfr_sin(r16372, r16358, MPFR_RNDN); mpfr_div(r16373, r16370, r16372, MPFR_RNDN); mpfr_div(r16374, r16372, r16373, MPFR_RNDN); mpfr_sqr(r16375, r16359, MPFR_RNDN); mpfr_div(r16376, r16375, r16370, MPFR_RNDN); mpfr_mul(r16377, r16372, r16376, MPFR_RNDN); mpfr_fma(r16378, r16371, r16374, r16377, MPFR_RNDN); mpfr_mul(r16379, r16370, r16370, MPFR_RNDN); mpfr_mul(r16379, r16379, r16370, MPFR_RNDN); mpfr_div(r16380, r16375, r16379, MPFR_RNDN); mpfr_mul(r16381, r16372, r16372, MPFR_RNDN); mpfr_mul(r16381, r16381, r16372, MPFR_RNDN); ; mpfr_mul(r16383, r16359, r16359, MPFR_RNDN); mpfr_mul(r16383, r16383, r16359, MPFR_RNDN); mpfr_mul(r16384, r16382, r16383, MPFR_RNDN); mpfr_fma(r16385, r16380, r16381, r16384, MPFR_RNDN); mpfr_add(r16386, r16378, r16385, MPFR_RNDN); ; mpfr_pow(r16388, r16370, r16387, MPFR_RNDN); mpfr_div(r16389, r16383, r16388, MPFR_RNDN); mpfr_pow(r16390, r16372, r16387, MPFR_RNDN); ; mpfr_div(r16392, r16391, r16370, MPFR_RNDN); mpfr_mul(r16393, r16372, r16372, MPFR_RNDN); mpfr_div(r16394, r16370, r16383, MPFR_RNDN); mpfr_div(r16395, r16393, r16394, MPFR_RNDN); mpfr_fma(r16396, r16392, r16395, r16359, MPFR_RNDN); mpfr_fma(r16397, r16389, r16390, r16396, MPFR_RNDN); mpfr_add(r16398, r16386, r16397, MPFR_RNDN); mpfr_expm1(r16399, r16362, MPFR_RNDN); mpfr_exp(r16400, r16399, MPFR_RNDN); mpfr_log(r16401, r16400, MPFR_RNDN); mpfr_log1p(r16402, r16401, MPFR_RNDN); mpfr_sub(r16403, r16361, r16402, MPFR_RNDN); if (mpfr_get_si(r16369, MPFR_RNDN)) { mpfr_set(r16404, r16398, MPFR_RNDN); } else { mpfr_set(r16404, r16403, MPFR_RNDN); }; if (mpfr_get_si(r16365, MPFR_RNDN)) { mpfr_set(r16405, r16367, MPFR_RNDN); } else { mpfr_set(r16405, r16404, MPFR_RNDN); }; return mpfr_get_d(r16405, MPFR_RNDN); }