#include #include #include #include #include char *name = "NMSE example 3.3"; double f_if(float x, float eps) { float r17216 = x; float r17217 = eps; float r17218 = r17216 + r17217; float r17219 = sin(r17218); float r17220 = sin(r17216); float r17221 = r17219 - r17220; return r17221; } double f_id(double x, double eps) { double r17222 = x; double r17223 = eps; double r17224 = r17222 + r17223; double r17225 = sin(r17224); double r17226 = sin(r17222); double r17227 = r17225 - r17226; return r17227; } double f_of(float x, float eps) { float r17228 = eps; float r17229 = -4.1504155513818035e-93f; bool r17230 = r17228 <= r17229; float r17231 = sin(r17228); float r17232 = x; float r17233 = cos(r17232); float r17234 = r17231 * r17233; float r17235 = cos(r17228); float r17236 = sin(r17232); float r17237 = r17235 * r17236; float r17238 = r17234 + r17237; float r17239 = r17238 * (r17238 * r17238); float r17240 = r17236 * (r17236 * r17236); float r17241 = r17239 - r17240; float r17242 = r17236 * r17235; float r17243 = r17233 * r17231; float r17244 = r17242 + r17243; float r17245 = r17244 * r17244; float r17246 = r17236 * r17236; float r17247 = r17244 * r17236; float r17248 = r17246 + r17247; float r17249 = r17245 + r17248; float r17250 = r17241 / r17249; float r17251 = 3.7984676159466535e-86f; bool r17252 = r17228 <= r17251; float r17253 = 0.5f; float r17254 = r17228 + r17232; float r17255 = r17232 * r17228; float r17256 = r17254 * r17255; float r17257 = r17253 * r17256; float r17258 = r17228 - r17257; float r17259 = r17252 ? r17258 : r17250; float r17260 = r17230 ? r17250 : r17259; return r17260; } double f_od(double x, double eps) { double r17261 = eps; double r17262 = -4.1504155513818035e-93; bool r17263 = r17261 <= r17262; double r17264 = sin(r17261); double r17265 = x; double r17266 = cos(r17265); double r17267 = r17264 * r17266; double r17268 = cos(r17261); double r17269 = sin(r17265); double r17270 = r17268 * r17269; double r17271 = r17267 + r17270; double r17272 = r17271 * (r17271 * r17271); double r17273 = r17269 * (r17269 * r17269); double r17274 = r17272 - r17273; double r17275 = r17269 * r17268; double r17276 = r17266 * r17264; double r17277 = r17275 + r17276; double r17278 = r17277 * r17277; double r17279 = r17269 * r17269; double r17280 = r17277 * r17269; double r17281 = r17279 + r17280; double r17282 = r17278 + r17281; double r17283 = r17274 / r17282; double r17284 = 3.7984676159466535e-86; bool r17285 = r17261 <= r17284; double r17286 = 0.5; double r17287 = r17261 + r17265; double r17288 = r17265 * r17261; double r17289 = r17287 * r17288; double r17290 = r17286 * r17289; double r17291 = r17261 - r17290; double r17292 = r17285 ? r17291 : r17283; double r17293 = r17263 ? r17283 : r17292; return r17293; } 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 r17294, r17295, r17296, r17297, r17298, r17299; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r17294); mpfr_init(r17295); mpfr_init(r17296); mpfr_init(r17297); mpfr_init(r17298); mpfr_init(r17299); } double f_im(double x, double eps) { mpfr_set_d(r17294, x, MPFR_RNDN); mpfr_set_d(r17295, eps, MPFR_RNDN); mpfr_add(r17296, r17294, r17295, MPFR_RNDN); mpfr_sin(r17297, r17296, MPFR_RNDN); mpfr_sin(r17298, r17294, MPFR_RNDN); mpfr_sub(r17299, r17297, r17298, MPFR_RNDN); return mpfr_get_d(r17299, MPFR_RNDN); } static mpfr_t r17300, r17301, r17302, r17303, r17304, r17305, r17306, r17307, r17308, r17309, r17310, r17311, r17312, r17313, r17314, r17315, r17316, r17317, r17318, r17319, r17320, r17321, r17322, r17323, r17324, r17325, r17326, r17327, r17328, r17329, r17330, r17331, r17332; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r17300); mpfr_init_set_str(r17301, "-4.1504155513818035e-93", 10, MPFR_RNDN); mpfr_init(r17302); mpfr_init(r17303); mpfr_init(r17304); mpfr_init(r17305); mpfr_init(r17306); mpfr_init(r17307); mpfr_init(r17308); mpfr_init(r17309); mpfr_init(r17310); mpfr_init(r17311); mpfr_init(r17312); mpfr_init(r17313); mpfr_init(r17314); mpfr_init(r17315); mpfr_init(r17316); mpfr_init(r17317); mpfr_init(r17318); mpfr_init(r17319); mpfr_init(r17320); mpfr_init(r17321); mpfr_init(r17322); mpfr_init_set_str(r17323, "3.7984676159466535e-86", 10, MPFR_RNDN); mpfr_init(r17324); mpfr_init_set_str(r17325, "1/2", 10, MPFR_RNDN); mpfr_init(r17326); mpfr_init(r17327); mpfr_init(r17328); mpfr_init(r17329); mpfr_init(r17330); mpfr_init(r17331); mpfr_init(r17332); } double f_fm(double x, double eps) { mpfr_set_d(r17300, eps, MPFR_RNDN); ; mpfr_set_si(r17302, mpfr_cmp(r17300, r17301) <= 0, MPFR_RNDN); mpfr_sin(r17303, r17300, MPFR_RNDN); mpfr_set_d(r17304, x, MPFR_RNDN); mpfr_cos(r17305, r17304, MPFR_RNDN); mpfr_mul(r17306, r17303, r17305, MPFR_RNDN); mpfr_cos(r17307, r17300, MPFR_RNDN); mpfr_sin(r17308, r17304, MPFR_RNDN); mpfr_mul(r17309, r17307, r17308, MPFR_RNDN); mpfr_add(r17310, r17306, r17309, MPFR_RNDN); mpfr_mul(r17311, r17310, r17310, MPFR_RNDN); mpfr_mul(r17311, r17311, r17310, MPFR_RNDN); mpfr_mul(r17312, r17308, r17308, MPFR_RNDN); mpfr_mul(r17312, r17312, r17308, MPFR_RNDN); mpfr_sub(r17313, r17311, r17312, MPFR_RNDN); mpfr_mul(r17314, r17308, r17307, MPFR_RNDN); mpfr_mul(r17315, r17305, r17303, MPFR_RNDN); mpfr_add(r17316, r17314, r17315, MPFR_RNDN); mpfr_sqr(r17317, r17316, MPFR_RNDN); mpfr_sqr(r17318, r17308, MPFR_RNDN); mpfr_mul(r17319, r17316, r17308, MPFR_RNDN); mpfr_add(r17320, r17318, r17319, MPFR_RNDN); mpfr_add(r17321, r17317, r17320, MPFR_RNDN); mpfr_div(r17322, r17313, r17321, MPFR_RNDN); ; mpfr_set_si(r17324, mpfr_cmp(r17300, r17323) <= 0, MPFR_RNDN); ; mpfr_add(r17326, r17300, r17304, MPFR_RNDN); mpfr_mul(r17327, r17304, r17300, MPFR_RNDN); mpfr_mul(r17328, r17326, r17327, MPFR_RNDN); mpfr_mul(r17329, r17325, r17328, MPFR_RNDN); mpfr_sub(r17330, r17300, r17329, MPFR_RNDN); if (mpfr_get_si(r17324, MPFR_RNDN)) { mpfr_set(r17331, r17330, MPFR_RNDN); } else { mpfr_set(r17331, r17322, MPFR_RNDN); }; if (mpfr_get_si(r17302, MPFR_RNDN)) { mpfr_set(r17332, r17322, MPFR_RNDN); } else { mpfr_set(r17332, r17331, MPFR_RNDN); }; return mpfr_get_d(r17332, MPFR_RNDN); } static mpfr_t r17333, r17334, r17335, r17336, r17337, r17338, r17339, r17340, r17341, r17342, r17343, r17344, r17345, r17346, r17347, r17348, r17349, r17350, r17351, r17352, r17353, r17354, r17355, r17356, r17357, r17358, r17359, r17360, r17361, r17362, r17363, r17364, r17365; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r17333); mpfr_init_set_str(r17334, "-4.1504155513818035e-93", 10, MPFR_RNDN); mpfr_init(r17335); mpfr_init(r17336); mpfr_init(r17337); mpfr_init(r17338); mpfr_init(r17339); mpfr_init(r17340); mpfr_init(r17341); mpfr_init(r17342); mpfr_init(r17343); mpfr_init(r17344); mpfr_init(r17345); mpfr_init(r17346); mpfr_init(r17347); mpfr_init(r17348); mpfr_init(r17349); mpfr_init(r17350); mpfr_init(r17351); mpfr_init(r17352); mpfr_init(r17353); mpfr_init(r17354); mpfr_init(r17355); mpfr_init_set_str(r17356, "3.7984676159466535e-86", 10, MPFR_RNDN); mpfr_init(r17357); mpfr_init_set_str(r17358, "1/2", 10, MPFR_RNDN); mpfr_init(r17359); mpfr_init(r17360); mpfr_init(r17361); mpfr_init(r17362); mpfr_init(r17363); mpfr_init(r17364); mpfr_init(r17365); } double f_dm(double x, double eps) { mpfr_set_d(r17333, eps, MPFR_RNDN); ; mpfr_set_si(r17335, mpfr_cmp(r17333, r17334) <= 0, MPFR_RNDN); mpfr_sin(r17336, r17333, MPFR_RNDN); mpfr_set_d(r17337, x, MPFR_RNDN); mpfr_cos(r17338, r17337, MPFR_RNDN); mpfr_mul(r17339, r17336, r17338, MPFR_RNDN); mpfr_cos(r17340, r17333, MPFR_RNDN); mpfr_sin(r17341, r17337, MPFR_RNDN); mpfr_mul(r17342, r17340, r17341, MPFR_RNDN); mpfr_add(r17343, r17339, r17342, MPFR_RNDN); mpfr_mul(r17344, r17343, r17343, MPFR_RNDN); mpfr_mul(r17344, r17344, r17343, MPFR_RNDN); mpfr_mul(r17345, r17341, r17341, MPFR_RNDN); mpfr_mul(r17345, r17345, r17341, MPFR_RNDN); mpfr_sub(r17346, r17344, r17345, MPFR_RNDN); mpfr_mul(r17347, r17341, r17340, MPFR_RNDN); mpfr_mul(r17348, r17338, r17336, MPFR_RNDN); mpfr_add(r17349, r17347, r17348, MPFR_RNDN); mpfr_sqr(r17350, r17349, MPFR_RNDN); mpfr_sqr(r17351, r17341, MPFR_RNDN); mpfr_mul(r17352, r17349, r17341, MPFR_RNDN); mpfr_add(r17353, r17351, r17352, MPFR_RNDN); mpfr_add(r17354, r17350, r17353, MPFR_RNDN); mpfr_div(r17355, r17346, r17354, MPFR_RNDN); ; mpfr_set_si(r17357, mpfr_cmp(r17333, r17356) <= 0, MPFR_RNDN); ; mpfr_add(r17359, r17333, r17337, MPFR_RNDN); mpfr_mul(r17360, r17337, r17333, MPFR_RNDN); mpfr_mul(r17361, r17359, r17360, MPFR_RNDN); mpfr_mul(r17362, r17358, r17361, MPFR_RNDN); mpfr_sub(r17363, r17333, r17362, MPFR_RNDN); if (mpfr_get_si(r17357, MPFR_RNDN)) { mpfr_set(r17364, r17363, MPFR_RNDN); } else { mpfr_set(r17364, r17355, MPFR_RNDN); }; if (mpfr_get_si(r17335, MPFR_RNDN)) { mpfr_set(r17365, r17355, MPFR_RNDN); } else { mpfr_set(r17365, r17364, MPFR_RNDN); }; return mpfr_get_d(r17365, MPFR_RNDN); }