#include #include #include #include #include char *name = "NMSE problem 3.3.2"; double f_if(float x, float eps) { float r18225 = x; float r18226 = eps; float r18227 = r18225 + r18226; float r18228 = tan(r18227); float r18229 = tan(r18225); float r18230 = r18228 - r18229; return r18230; } double f_id(double x, double eps) { double r18231 = x; double r18232 = eps; double r18233 = r18231 + r18232; double r18234 = tan(r18233); double r18235 = tan(r18231); double r18236 = r18234 - r18235; return r18236; } double f_of(float x, float eps) { float r18237 = eps; float r18238 = -6.041808348837433e-43f; bool r18239 = r18237 <= r18238; float r18240 = x; float r18241 = tan(r18240); float r18242 = tan(r18237); float r18243 = r18241 + r18242; float r18244 = cos(r18240); float r18245 = r18243 * r18244; float r18246 = 1.0f; float r18247 = r18241 * r18242; float r18248 = r18246 - r18247; float r18249 = sin(r18240); float r18250 = r18248 * r18249; float r18251 = r18245 - r18250; float r18252 = r18248 * r18244; float r18253 = r18251 / r18252; float r18254 = 3.290445875832927e-111f; bool r18255 = r18237 <= r18254; float r18256 = r18240 * r18240; float r18257 = r18237 * (r18237 * r18237); float r18258 = r18256 * r18257; float r18259 = 4.0f; float r18260 = pow(r18237, r18259); float r18261 = r18240 * (r18240 * r18240); float r18262 = r18260 * r18261; float r18263 = r18258 + r18262; float r18264 = r18263 + r18237; float r18265 = r18242 + r18241; float r18266 = r18241 * (r18241 * r18241); float r18267 = r18242 * (r18242 * r18242); float r18268 = r18266 * r18267; float r18269 = cbrt(r18268); float r18270 = r18246 - r18269; float r18271 = r18265 / r18270; float r18272 = r18271 * (r18271 * r18271); float r18273 = r18272 - r18266; float r18274 = r18243 / r18270; float r18275 = r18274 * r18274; float r18276 = r18241 * r18241; float r18277 = r18274 * r18241; float r18278 = r18276 + r18277; float r18279 = r18275 + r18278; float r18280 = r18273 / r18279; float r18281 = r18255 ? r18264 : r18280; float r18282 = r18239 ? r18253 : r18281; return r18282; } double f_od(double x, double eps) { double r18283 = eps; double r18284 = -6.041808348837433e-43; bool r18285 = r18283 <= r18284; double r18286 = x; double r18287 = tan(r18286); double r18288 = tan(r18283); double r18289 = r18287 + r18288; double r18290 = cos(r18286); double r18291 = r18289 * r18290; double r18292 = 1.0; double r18293 = r18287 * r18288; double r18294 = r18292 - r18293; double r18295 = sin(r18286); double r18296 = r18294 * r18295; double r18297 = r18291 - r18296; double r18298 = r18294 * r18290; double r18299 = r18297 / r18298; double r18300 = 3.290445875832927e-111; bool r18301 = r18283 <= r18300; double r18302 = r18286 * r18286; double r18303 = r18283 * (r18283 * r18283); double r18304 = r18302 * r18303; double r18305 = 4.0; double r18306 = pow(r18283, r18305); double r18307 = r18286 * (r18286 * r18286); double r18308 = r18306 * r18307; double r18309 = r18304 + r18308; double r18310 = r18309 + r18283; double r18311 = r18288 + r18287; double r18312 = r18287 * (r18287 * r18287); double r18313 = r18288 * (r18288 * r18288); double r18314 = r18312 * r18313; double r18315 = cbrt(r18314); double r18316 = r18292 - r18315; double r18317 = r18311 / r18316; double r18318 = r18317 * (r18317 * r18317); double r18319 = r18318 - r18312; double r18320 = r18289 / r18316; double r18321 = r18320 * r18320; double r18322 = r18287 * r18287; double r18323 = r18320 * r18287; double r18324 = r18322 + r18323; double r18325 = r18321 + r18324; double r18326 = r18319 / r18325; double r18327 = r18301 ? r18310 : r18326; double r18328 = r18285 ? r18299 : r18327; return r18328; } 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 r18329, r18330, r18331, r18332, r18333, r18334; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r18329); mpfr_init(r18330); mpfr_init(r18331); mpfr_init(r18332); mpfr_init(r18333); mpfr_init(r18334); } double f_im(double x, double eps) { mpfr_set_d(r18329, x, MPFR_RNDN); mpfr_set_d(r18330, eps, MPFR_RNDN); mpfr_add(r18331, r18329, r18330, MPFR_RNDN); mpfr_tan(r18332, r18331, MPFR_RNDN); mpfr_tan(r18333, r18329, MPFR_RNDN); mpfr_sub(r18334, r18332, r18333, MPFR_RNDN); return mpfr_get_d(r18334, MPFR_RNDN); } static mpfr_t r18335, r18336, r18337, r18338, r18339, r18340, r18341, r18342, r18343, r18344, r18345, r18346, r18347, r18348, r18349, r18350, r18351, r18352, r18353, r18354, r18355, r18356, r18357, r18358, r18359, r18360, r18361, r18362, r18363, r18364, r18365, r18366, r18367, r18368, r18369, r18370, r18371, r18372, r18373, r18374, r18375, r18376, r18377, r18378, r18379, r18380; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r18335); mpfr_init_set_str(r18336, "-6.041808348837433e-43", 10, MPFR_RNDN); mpfr_init(r18337); mpfr_init(r18338); mpfr_init(r18339); mpfr_init(r18340); mpfr_init(r18341); mpfr_init(r18342); mpfr_init(r18343); mpfr_init_set_str(r18344, "1", 10, MPFR_RNDN); mpfr_init(r18345); mpfr_init(r18346); mpfr_init(r18347); mpfr_init(r18348); mpfr_init(r18349); mpfr_init(r18350); mpfr_init(r18351); mpfr_init_set_str(r18352, "3.290445875832927e-111", 10, MPFR_RNDN); mpfr_init(r18353); mpfr_init(r18354); mpfr_init(r18355); mpfr_init(r18356); mpfr_init_set_str(r18357, "4", 10, MPFR_RNDN); mpfr_init(r18358); mpfr_init(r18359); mpfr_init(r18360); mpfr_init(r18361); mpfr_init(r18362); mpfr_init(r18363); mpfr_init(r18364); mpfr_init(r18365); mpfr_init(r18366); mpfr_init(r18367); mpfr_init(r18368); mpfr_init(r18369); mpfr_init(r18370); mpfr_init(r18371); mpfr_init(r18372); mpfr_init(r18373); mpfr_init(r18374); mpfr_init(r18375); mpfr_init(r18376); mpfr_init(r18377); mpfr_init(r18378); mpfr_init(r18379); mpfr_init(r18380); } double f_fm(double x, double eps) { mpfr_set_d(r18335, eps, MPFR_RNDN); ; mpfr_set_si(r18337, mpfr_cmp(r18335, r18336) <= 0, MPFR_RNDN); mpfr_set_d(r18338, x, MPFR_RNDN); mpfr_tan(r18339, r18338, MPFR_RNDN); mpfr_tan(r18340, r18335, MPFR_RNDN); mpfr_add(r18341, r18339, r18340, MPFR_RNDN); mpfr_cos(r18342, r18338, MPFR_RNDN); mpfr_mul(r18343, r18341, r18342, MPFR_RNDN); ; mpfr_mul(r18345, r18339, r18340, MPFR_RNDN); mpfr_sub(r18346, r18344, r18345, MPFR_RNDN); mpfr_sin(r18347, r18338, MPFR_RNDN); mpfr_mul(r18348, r18346, r18347, MPFR_RNDN); mpfr_sub(r18349, r18343, r18348, MPFR_RNDN); mpfr_mul(r18350, r18346, r18342, MPFR_RNDN); mpfr_div(r18351, r18349, r18350, MPFR_RNDN); ; mpfr_set_si(r18353, mpfr_cmp(r18335, r18352) <= 0, MPFR_RNDN); mpfr_mul(r18354, r18338, r18338, MPFR_RNDN); mpfr_mul(r18355, r18335, r18335, MPFR_RNDN); mpfr_mul(r18355, r18355, r18335, MPFR_RNDN); mpfr_mul(r18356, r18354, r18355, MPFR_RNDN); ; mpfr_pow(r18358, r18335, r18357, MPFR_RNDN); mpfr_mul(r18359, r18338, r18338, MPFR_RNDN); mpfr_mul(r18359, r18359, r18338, MPFR_RNDN); mpfr_mul(r18360, r18358, r18359, MPFR_RNDN); mpfr_add(r18361, r18356, r18360, MPFR_RNDN); mpfr_add(r18362, r18361, r18335, MPFR_RNDN); mpfr_add(r18363, r18340, r18339, MPFR_RNDN); mpfr_mul(r18364, r18339, r18339, MPFR_RNDN); mpfr_mul(r18364, r18364, r18339, MPFR_RNDN); mpfr_mul(r18365, r18340, r18340, MPFR_RNDN); mpfr_mul(r18365, r18365, r18340, MPFR_RNDN); mpfr_mul(r18366, r18364, r18365, MPFR_RNDN); mpfr_cbrt(r18367, r18366, MPFR_RNDN); mpfr_sub(r18368, r18344, r18367, MPFR_RNDN); mpfr_div(r18369, r18363, r18368, MPFR_RNDN); mpfr_mul(r18370, r18369, r18369, MPFR_RNDN); mpfr_mul(r18370, r18370, r18369, MPFR_RNDN); mpfr_sub(r18371, r18370, r18364, MPFR_RNDN); mpfr_div(r18372, r18341, r18368, MPFR_RNDN); mpfr_sqr(r18373, r18372, MPFR_RNDN); mpfr_sqr(r18374, r18339, MPFR_RNDN); mpfr_mul(r18375, r18372, r18339, MPFR_RNDN); mpfr_add(r18376, r18374, r18375, MPFR_RNDN); mpfr_add(r18377, r18373, r18376, MPFR_RNDN); mpfr_div(r18378, r18371, r18377, MPFR_RNDN); if (mpfr_get_si(r18353, MPFR_RNDN)) { mpfr_set(r18379, r18362, MPFR_RNDN); } else { mpfr_set(r18379, r18378, MPFR_RNDN); }; if (mpfr_get_si(r18337, MPFR_RNDN)) { mpfr_set(r18380, r18351, MPFR_RNDN); } else { mpfr_set(r18380, r18379, MPFR_RNDN); }; return mpfr_get_d(r18380, MPFR_RNDN); } static mpfr_t r18381, r18382, r18383, r18384, r18385, r18386, r18387, r18388, r18389, r18390, r18391, r18392, r18393, r18394, r18395, r18396, r18397, r18398, r18399, r18400, r18401, r18402, r18403, r18404, r18405, r18406, r18407, r18408, r18409, r18410, r18411, r18412, r18413, r18414, r18415, r18416, r18417, r18418, r18419, r18420, r18421, r18422, r18423, r18424, r18425, r18426; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r18381); mpfr_init_set_str(r18382, "-6.041808348837433e-43", 10, MPFR_RNDN); mpfr_init(r18383); mpfr_init(r18384); mpfr_init(r18385); mpfr_init(r18386); mpfr_init(r18387); mpfr_init(r18388); mpfr_init(r18389); mpfr_init_set_str(r18390, "1", 10, MPFR_RNDN); mpfr_init(r18391); mpfr_init(r18392); mpfr_init(r18393); mpfr_init(r18394); mpfr_init(r18395); mpfr_init(r18396); mpfr_init(r18397); mpfr_init_set_str(r18398, "3.290445875832927e-111", 10, MPFR_RNDN); mpfr_init(r18399); mpfr_init(r18400); mpfr_init(r18401); mpfr_init(r18402); mpfr_init_set_str(r18403, "4", 10, MPFR_RNDN); mpfr_init(r18404); mpfr_init(r18405); mpfr_init(r18406); mpfr_init(r18407); mpfr_init(r18408); mpfr_init(r18409); mpfr_init(r18410); mpfr_init(r18411); mpfr_init(r18412); mpfr_init(r18413); mpfr_init(r18414); mpfr_init(r18415); mpfr_init(r18416); mpfr_init(r18417); mpfr_init(r18418); mpfr_init(r18419); mpfr_init(r18420); mpfr_init(r18421); mpfr_init(r18422); mpfr_init(r18423); mpfr_init(r18424); mpfr_init(r18425); mpfr_init(r18426); } double f_dm(double x, double eps) { mpfr_set_d(r18381, eps, MPFR_RNDN); ; mpfr_set_si(r18383, mpfr_cmp(r18381, r18382) <= 0, MPFR_RNDN); mpfr_set_d(r18384, x, MPFR_RNDN); mpfr_tan(r18385, r18384, MPFR_RNDN); mpfr_tan(r18386, r18381, MPFR_RNDN); mpfr_add(r18387, r18385, r18386, MPFR_RNDN); mpfr_cos(r18388, r18384, MPFR_RNDN); mpfr_mul(r18389, r18387, r18388, MPFR_RNDN); ; mpfr_mul(r18391, r18385, r18386, MPFR_RNDN); mpfr_sub(r18392, r18390, r18391, MPFR_RNDN); mpfr_sin(r18393, r18384, MPFR_RNDN); mpfr_mul(r18394, r18392, r18393, MPFR_RNDN); mpfr_sub(r18395, r18389, r18394, MPFR_RNDN); mpfr_mul(r18396, r18392, r18388, MPFR_RNDN); mpfr_div(r18397, r18395, r18396, MPFR_RNDN); ; mpfr_set_si(r18399, mpfr_cmp(r18381, r18398) <= 0, MPFR_RNDN); mpfr_mul(r18400, r18384, r18384, MPFR_RNDN); mpfr_mul(r18401, r18381, r18381, MPFR_RNDN); mpfr_mul(r18401, r18401, r18381, MPFR_RNDN); mpfr_mul(r18402, r18400, r18401, MPFR_RNDN); ; mpfr_pow(r18404, r18381, r18403, MPFR_RNDN); mpfr_mul(r18405, r18384, r18384, MPFR_RNDN); mpfr_mul(r18405, r18405, r18384, MPFR_RNDN); mpfr_mul(r18406, r18404, r18405, MPFR_RNDN); mpfr_add(r18407, r18402, r18406, MPFR_RNDN); mpfr_add(r18408, r18407, r18381, MPFR_RNDN); mpfr_add(r18409, r18386, r18385, MPFR_RNDN); mpfr_mul(r18410, r18385, r18385, MPFR_RNDN); mpfr_mul(r18410, r18410, r18385, MPFR_RNDN); mpfr_mul(r18411, r18386, r18386, MPFR_RNDN); mpfr_mul(r18411, r18411, r18386, MPFR_RNDN); mpfr_mul(r18412, r18410, r18411, MPFR_RNDN); mpfr_cbrt(r18413, r18412, MPFR_RNDN); mpfr_sub(r18414, r18390, r18413, MPFR_RNDN); mpfr_div(r18415, r18409, r18414, MPFR_RNDN); mpfr_mul(r18416, r18415, r18415, MPFR_RNDN); mpfr_mul(r18416, r18416, r18415, MPFR_RNDN); mpfr_sub(r18417, r18416, r18410, MPFR_RNDN); mpfr_div(r18418, r18387, r18414, MPFR_RNDN); mpfr_sqr(r18419, r18418, MPFR_RNDN); mpfr_sqr(r18420, r18385, MPFR_RNDN); mpfr_mul(r18421, r18418, r18385, MPFR_RNDN); mpfr_add(r18422, r18420, r18421, MPFR_RNDN); mpfr_add(r18423, r18419, r18422, MPFR_RNDN); mpfr_div(r18424, r18417, r18423, MPFR_RNDN); if (mpfr_get_si(r18399, MPFR_RNDN)) { mpfr_set(r18425, r18408, MPFR_RNDN); } else { mpfr_set(r18425, r18424, MPFR_RNDN); }; if (mpfr_get_si(r18383, MPFR_RNDN)) { mpfr_set(r18426, r18397, MPFR_RNDN); } else { mpfr_set(r18426, r18425, MPFR_RNDN); }; return mpfr_get_d(r18426, MPFR_RNDN); }