#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15263 = x; float r15264 = eps; float r15265 = r15263 + r15264; float r15266 = cos(r15265); float r15267 = cos(r15263); float r15268 = r15266 - r15267; return r15268; } double f_id(double x, double eps) { double r15269 = x; double r15270 = eps; double r15271 = r15269 + r15270; double r15272 = cos(r15271); double r15273 = cos(r15269); double r15274 = r15272 - r15273; return r15274; } double f_of(float x, float eps) { float r15275 = eps; float r15276 = -6.974478371048821e-14f; bool r15277 = r15275 <= r15276; float r15278 = cos(r15275); float r15279 = x; float r15280 = cos(r15279); float r15281 = r15278 * r15280; float r15282 = sin(r15275); float r15283 = sin(r15279); float r15284 = r15282 * r15283; float r15285 = r15281 - r15284; float r15286 = r15285 * (r15285 * r15285); float r15287 = r15280 * (r15280 * r15280); float r15288 = r15286 - r15287; float r15289 = r15280 * r15278; float r15290 = r15283 * r15282; float r15291 = r15289 - r15290; float r15292 = r15291 * r15291; float r15293 = r15280 * r15280; float r15294 = r15291 * r15280; float r15295 = r15293 + r15294; float r15296 = r15292 + r15295; float r15297 = r15288 / r15296; float r15298 = 0.00018005451351709028f; bool r15299 = r15275 <= r15298; float r15300 = 0.16666666666666666f; float r15301 = r15275 * r15300; float r15302 = r15279 * (r15279 * r15279); float r15303 = r15301 * r15302; float r15304 = 0.5f; float r15305 = r15275 * r15304; float r15306 = r15305 + r15279; float r15307 = r15275 * r15306; float r15308 = r15303 - r15307; float r15309 = r15281 * (r15281 * r15281); float r15310 = r15290 * (r15290 * r15290); float r15311 = r15309 - r15310; float r15312 = r15289 * r15289; float r15313 = r15290 * r15290; float r15314 = r15289 * r15290; float r15315 = r15313 + r15314; float r15316 = r15312 + r15315; float r15317 = r15311 / r15316; float r15318 = r15317 - r15280; float r15319 = r15299 ? r15308 : r15318; float r15320 = r15277 ? r15297 : r15319; return r15320; } double f_od(double x, double eps) { double r15321 = eps; double r15322 = -6.974478371048821e-14; bool r15323 = r15321 <= r15322; double r15324 = cos(r15321); double r15325 = x; double r15326 = cos(r15325); double r15327 = r15324 * r15326; double r15328 = sin(r15321); double r15329 = sin(r15325); double r15330 = r15328 * r15329; double r15331 = r15327 - r15330; double r15332 = r15331 * (r15331 * r15331); double r15333 = r15326 * (r15326 * r15326); double r15334 = r15332 - r15333; double r15335 = r15326 * r15324; double r15336 = r15329 * r15328; double r15337 = r15335 - r15336; double r15338 = r15337 * r15337; double r15339 = r15326 * r15326; double r15340 = r15337 * r15326; double r15341 = r15339 + r15340; double r15342 = r15338 + r15341; double r15343 = r15334 / r15342; double r15344 = 0.00018005451351709028; bool r15345 = r15321 <= r15344; double r15346 = 0.16666666666666666; double r15347 = r15321 * r15346; double r15348 = r15325 * (r15325 * r15325); double r15349 = r15347 * r15348; double r15350 = 0.5; double r15351 = r15321 * r15350; double r15352 = r15351 + r15325; double r15353 = r15321 * r15352; double r15354 = r15349 - r15353; double r15355 = r15327 * (r15327 * r15327); double r15356 = r15336 * (r15336 * r15336); double r15357 = r15355 - r15356; double r15358 = r15335 * r15335; double r15359 = r15336 * r15336; double r15360 = r15335 * r15336; double r15361 = r15359 + r15360; double r15362 = r15358 + r15361; double r15363 = r15357 / r15362; double r15364 = r15363 - r15326; double r15365 = r15345 ? r15354 : r15364; double r15366 = r15323 ? r15343 : r15365; return r15366; } 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 r15367, r15368, r15369, r15370, r15371, r15372; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15367); mpfr_init(r15368); mpfr_init(r15369); mpfr_init(r15370); mpfr_init(r15371); mpfr_init(r15372); } double f_im(double x, double eps) { mpfr_set_d(r15367, x, MPFR_RNDN); mpfr_set_d(r15368, eps, MPFR_RNDN); mpfr_add(r15369, r15367, r15368, MPFR_RNDN); mpfr_cos(r15370, r15369, MPFR_RNDN); mpfr_cos(r15371, r15367, MPFR_RNDN); mpfr_sub(r15372, r15370, r15371, MPFR_RNDN); return mpfr_get_d(r15372, MPFR_RNDN); } static mpfr_t 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, r15405, r15406, r15407, r15408, r15409, r15410, r15411, r15412, r15413, r15414, r15415, r15416, r15417, r15418; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15373); mpfr_init_set_str(r15374, "-6.974478371048821e-14", 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); mpfr_init(r15393); mpfr_init(r15394); mpfr_init(r15395); mpfr_init_set_str(r15396, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15397); mpfr_init_set_str(r15398, "1/6", 10, MPFR_RNDN); mpfr_init(r15399); mpfr_init(r15400); mpfr_init(r15401); mpfr_init_set_str(r15402, "1/2", 10, MPFR_RNDN); mpfr_init(r15403); mpfr_init(r15404); mpfr_init(r15405); mpfr_init(r15406); mpfr_init(r15407); mpfr_init(r15408); mpfr_init(r15409); mpfr_init(r15410); mpfr_init(r15411); mpfr_init(r15412); mpfr_init(r15413); mpfr_init(r15414); mpfr_init(r15415); mpfr_init(r15416); mpfr_init(r15417); mpfr_init(r15418); } double f_fm(double x, double eps) { mpfr_set_d(r15373, eps, MPFR_RNDN); ; mpfr_set_si(r15375, mpfr_cmp(r15373, r15374) <= 0, MPFR_RNDN); mpfr_cos(r15376, r15373, MPFR_RNDN); mpfr_set_d(r15377, x, MPFR_RNDN); mpfr_cos(r15378, r15377, MPFR_RNDN); mpfr_mul(r15379, r15376, r15378, MPFR_RNDN); mpfr_sin(r15380, r15373, MPFR_RNDN); mpfr_sin(r15381, r15377, MPFR_RNDN); mpfr_mul(r15382, r15380, r15381, MPFR_RNDN); mpfr_sub(r15383, r15379, r15382, MPFR_RNDN); mpfr_mul(r15384, r15383, r15383, MPFR_RNDN); mpfr_mul(r15384, r15384, r15383, MPFR_RNDN); mpfr_mul(r15385, r15378, r15378, MPFR_RNDN); mpfr_mul(r15385, r15385, r15378, MPFR_RNDN); mpfr_sub(r15386, r15384, r15385, MPFR_RNDN); mpfr_mul(r15387, r15378, r15376, MPFR_RNDN); mpfr_mul(r15388, r15381, r15380, MPFR_RNDN); mpfr_sub(r15389, r15387, r15388, MPFR_RNDN); mpfr_sqr(r15390, r15389, MPFR_RNDN); mpfr_sqr(r15391, r15378, MPFR_RNDN); mpfr_mul(r15392, r15389, r15378, MPFR_RNDN); mpfr_add(r15393, r15391, r15392, MPFR_RNDN); mpfr_add(r15394, r15390, r15393, MPFR_RNDN); mpfr_div(r15395, r15386, r15394, MPFR_RNDN); ; mpfr_set_si(r15397, mpfr_cmp(r15373, r15396) <= 0, MPFR_RNDN); ; mpfr_mul(r15399, r15373, r15398, MPFR_RNDN); mpfr_mul(r15400, r15377, r15377, MPFR_RNDN); mpfr_mul(r15400, r15400, r15377, MPFR_RNDN); mpfr_mul(r15401, r15399, r15400, MPFR_RNDN); ; mpfr_mul(r15403, r15373, r15402, MPFR_RNDN); mpfr_add(r15404, r15403, r15377, MPFR_RNDN); mpfr_mul(r15405, r15373, r15404, MPFR_RNDN); mpfr_sub(r15406, r15401, r15405, MPFR_RNDN); mpfr_mul(r15407, r15379, r15379, MPFR_RNDN); mpfr_mul(r15407, r15407, r15379, MPFR_RNDN); mpfr_mul(r15408, r15388, r15388, MPFR_RNDN); mpfr_mul(r15408, r15408, r15388, MPFR_RNDN); mpfr_sub(r15409, r15407, r15408, MPFR_RNDN); mpfr_sqr(r15410, r15387, MPFR_RNDN); mpfr_sqr(r15411, r15388, MPFR_RNDN); mpfr_mul(r15412, r15387, r15388, MPFR_RNDN); mpfr_add(r15413, r15411, r15412, MPFR_RNDN); mpfr_add(r15414, r15410, r15413, MPFR_RNDN); mpfr_div(r15415, r15409, r15414, MPFR_RNDN); mpfr_sub(r15416, r15415, r15378, MPFR_RNDN); if (mpfr_get_si(r15397, MPFR_RNDN)) { mpfr_set(r15417, r15406, MPFR_RNDN); } else { mpfr_set(r15417, r15416, MPFR_RNDN); }; if (mpfr_get_si(r15375, MPFR_RNDN)) { mpfr_set(r15418, r15395, MPFR_RNDN); } else { mpfr_set(r15418, r15417, MPFR_RNDN); }; return mpfr_get_d(r15418, MPFR_RNDN); } static mpfr_t r15419, r15420, r15421, r15422, r15423, r15424, r15425, r15426, r15427, r15428, r15429, r15430, r15431, r15432, r15433, r15434, r15435, r15436, r15437, r15438, r15439, r15440, r15441, r15442, r15443, r15444, r15445, r15446, r15447, r15448, r15449, r15450, r15451, r15452, r15453, r15454, r15455, r15456, r15457, r15458, r15459, r15460, r15461, r15462, r15463, r15464; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15419); mpfr_init_set_str(r15420, "-6.974478371048821e-14", 10, MPFR_RNDN); mpfr_init(r15421); mpfr_init(r15422); mpfr_init(r15423); mpfr_init(r15424); mpfr_init(r15425); mpfr_init(r15426); mpfr_init(r15427); mpfr_init(r15428); mpfr_init(r15429); mpfr_init(r15430); mpfr_init(r15431); mpfr_init(r15432); mpfr_init(r15433); mpfr_init(r15434); mpfr_init(r15435); mpfr_init(r15436); mpfr_init(r15437); mpfr_init(r15438); mpfr_init(r15439); mpfr_init(r15440); mpfr_init(r15441); mpfr_init_set_str(r15442, "0.00018005451351709028", 10, MPFR_RNDN); mpfr_init(r15443); mpfr_init_set_str(r15444, "1/6", 10, MPFR_RNDN); mpfr_init(r15445); mpfr_init(r15446); mpfr_init(r15447); mpfr_init_set_str(r15448, "1/2", 10, MPFR_RNDN); mpfr_init(r15449); mpfr_init(r15450); mpfr_init(r15451); mpfr_init(r15452); mpfr_init(r15453); mpfr_init(r15454); mpfr_init(r15455); mpfr_init(r15456); mpfr_init(r15457); mpfr_init(r15458); mpfr_init(r15459); mpfr_init(r15460); mpfr_init(r15461); mpfr_init(r15462); mpfr_init(r15463); mpfr_init(r15464); } double f_dm(double x, double eps) { mpfr_set_d(r15419, eps, MPFR_RNDN); ; mpfr_set_si(r15421, mpfr_cmp(r15419, r15420) <= 0, MPFR_RNDN); mpfr_cos(r15422, r15419, MPFR_RNDN); mpfr_set_d(r15423, x, MPFR_RNDN); mpfr_cos(r15424, r15423, MPFR_RNDN); mpfr_mul(r15425, r15422, r15424, MPFR_RNDN); mpfr_sin(r15426, r15419, MPFR_RNDN); mpfr_sin(r15427, r15423, MPFR_RNDN); mpfr_mul(r15428, r15426, r15427, MPFR_RNDN); mpfr_sub(r15429, r15425, r15428, MPFR_RNDN); mpfr_mul(r15430, r15429, r15429, MPFR_RNDN); mpfr_mul(r15430, r15430, r15429, MPFR_RNDN); mpfr_mul(r15431, r15424, r15424, MPFR_RNDN); mpfr_mul(r15431, r15431, r15424, MPFR_RNDN); mpfr_sub(r15432, r15430, r15431, MPFR_RNDN); mpfr_mul(r15433, r15424, r15422, MPFR_RNDN); mpfr_mul(r15434, r15427, r15426, MPFR_RNDN); mpfr_sub(r15435, r15433, r15434, MPFR_RNDN); mpfr_sqr(r15436, r15435, MPFR_RNDN); mpfr_sqr(r15437, r15424, MPFR_RNDN); mpfr_mul(r15438, r15435, r15424, MPFR_RNDN); mpfr_add(r15439, r15437, r15438, MPFR_RNDN); mpfr_add(r15440, r15436, r15439, MPFR_RNDN); mpfr_div(r15441, r15432, r15440, MPFR_RNDN); ; mpfr_set_si(r15443, mpfr_cmp(r15419, r15442) <= 0, MPFR_RNDN); ; mpfr_mul(r15445, r15419, r15444, MPFR_RNDN); mpfr_mul(r15446, r15423, r15423, MPFR_RNDN); mpfr_mul(r15446, r15446, r15423, MPFR_RNDN); mpfr_mul(r15447, r15445, r15446, MPFR_RNDN); ; mpfr_mul(r15449, r15419, r15448, MPFR_RNDN); mpfr_add(r15450, r15449, r15423, MPFR_RNDN); mpfr_mul(r15451, r15419, r15450, MPFR_RNDN); mpfr_sub(r15452, r15447, r15451, MPFR_RNDN); mpfr_mul(r15453, r15425, r15425, MPFR_RNDN); mpfr_mul(r15453, r15453, r15425, MPFR_RNDN); mpfr_mul(r15454, r15434, r15434, MPFR_RNDN); mpfr_mul(r15454, r15454, r15434, MPFR_RNDN); mpfr_sub(r15455, r15453, r15454, MPFR_RNDN); mpfr_sqr(r15456, r15433, MPFR_RNDN); mpfr_sqr(r15457, r15434, MPFR_RNDN); mpfr_mul(r15458, r15433, r15434, MPFR_RNDN); mpfr_add(r15459, r15457, r15458, MPFR_RNDN); mpfr_add(r15460, r15456, r15459, MPFR_RNDN); mpfr_div(r15461, r15455, r15460, MPFR_RNDN); mpfr_sub(r15462, r15461, r15424, MPFR_RNDN); if (mpfr_get_si(r15443, MPFR_RNDN)) { mpfr_set(r15463, r15452, MPFR_RNDN); } else { mpfr_set(r15463, r15462, MPFR_RNDN); }; if (mpfr_get_si(r15421, MPFR_RNDN)) { mpfr_set(r15464, r15441, MPFR_RNDN); } else { mpfr_set(r15464, r15463, MPFR_RNDN); }; return mpfr_get_d(r15464, MPFR_RNDN); }