#include #include #include #include #include char *name = "NMSE problem 3.3.5"; double f_if(float x, float eps) { float r15023 = x; float r15024 = eps; float r15025 = r15023 + r15024; float r15026 = cos(r15025); float r15027 = cos(r15023); float r15028 = r15026 - r15027; return r15028; } double f_id(double x, double eps) { double r15029 = x; double r15030 = eps; double r15031 = r15029 + r15030; double r15032 = cos(r15031); double r15033 = cos(r15029); double r15034 = r15032 - r15033; return r15034; } double f_of(float x, float eps) { float r15035 = eps; float r15036 = cos(r15035); float r15037 = x; float r15038 = cos(r15037); float r15039 = r15036 * r15038; float r15040 = r15039 * (r15039 * r15039); float r15041 = r15040 * r15040; float r15042 = sin(r15037); float r15043 = sin(r15035); float r15044 = r15042 * r15043; float r15045 = r15038 + r15044; float r15046 = r15045 * (r15045 * r15045); float r15047 = r15046 * r15046; float r15048 = r15041 - r15047; float r15049 = r15040 + r15046; float r15050 = r15048 / r15049; float r15051 = r15038 * r15036; float r15052 = r15051 * r15051; float r15053 = r15044 + r15038; float r15054 = r15053 * r15053; float r15055 = r15051 * r15053; float r15056 = r15054 + r15055; float r15057 = r15052 + r15056; float r15058 = r15050 / r15057; return r15058; } double f_od(double x, double eps) { double r15059 = eps; double r15060 = cos(r15059); double r15061 = x; double r15062 = cos(r15061); double r15063 = r15060 * r15062; double r15064 = r15063 * (r15063 * r15063); double r15065 = r15064 * r15064; double r15066 = sin(r15061); double r15067 = sin(r15059); double r15068 = r15066 * r15067; double r15069 = r15062 + r15068; double r15070 = r15069 * (r15069 * r15069); double r15071 = r15070 * r15070; double r15072 = r15065 - r15071; double r15073 = r15064 + r15070; double r15074 = r15072 / r15073; double r15075 = r15062 * r15060; double r15076 = r15075 * r15075; double r15077 = r15068 + r15062; double r15078 = r15077 * r15077; double r15079 = r15075 * r15077; double r15080 = r15078 + r15079; double r15081 = r15076 + r15080; double r15082 = r15074 / r15081; return r15082; } 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 r15083, r15084, r15085, r15086, r15087, r15088; void setup_mpfr_f_im() { mpfr_set_default_prec(144); mpfr_init(r15083); mpfr_init(r15084); mpfr_init(r15085); mpfr_init(r15086); mpfr_init(r15087); mpfr_init(r15088); } double f_im(double x, double eps) { mpfr_set_d(r15083, x, MPFR_RNDN); mpfr_set_d(r15084, eps, MPFR_RNDN); mpfr_add(r15085, r15083, r15084, MPFR_RNDN); mpfr_cos(r15086, r15085, MPFR_RNDN); mpfr_cos(r15087, r15083, MPFR_RNDN); mpfr_sub(r15088, r15086, r15087, MPFR_RNDN); return mpfr_get_d(r15088, MPFR_RNDN); } static mpfr_t r15089, r15090, r15091, r15092, r15093, r15094, r15095, r15096, r15097, r15098, r15099, r15100, r15101, r15102, r15103, r15104, r15105, r15106, r15107, r15108, r15109, r15110, r15111, r15112; void setup_mpfr_f_fm() { mpfr_set_default_prec(144); mpfr_init(r15089); mpfr_init(r15090); mpfr_init(r15091); mpfr_init(r15092); mpfr_init(r15093); mpfr_init(r15094); mpfr_init(r15095); mpfr_init(r15096); mpfr_init(r15097); mpfr_init(r15098); mpfr_init(r15099); mpfr_init(r15100); mpfr_init(r15101); mpfr_init(r15102); mpfr_init(r15103); mpfr_init(r15104); mpfr_init(r15105); mpfr_init(r15106); mpfr_init(r15107); mpfr_init(r15108); mpfr_init(r15109); mpfr_init(r15110); mpfr_init(r15111); mpfr_init(r15112); } double f_fm(double x, double eps) { mpfr_set_d(r15089, eps, MPFR_RNDN); mpfr_cos(r15090, r15089, MPFR_RNDN); mpfr_set_d(r15091, x, MPFR_RNDN); mpfr_cos(r15092, r15091, MPFR_RNDN); mpfr_mul(r15093, r15090, r15092, MPFR_RNDN); mpfr_mul(r15094, r15093, r15093, MPFR_RNDN); mpfr_mul(r15094, r15094, r15093, MPFR_RNDN); mpfr_sqr(r15095, r15094, MPFR_RNDN); mpfr_sin(r15096, r15091, MPFR_RNDN); mpfr_sin(r15097, r15089, MPFR_RNDN); mpfr_mul(r15098, r15096, r15097, MPFR_RNDN); mpfr_add(r15099, r15092, r15098, MPFR_RNDN); mpfr_mul(r15100, r15099, r15099, MPFR_RNDN); mpfr_mul(r15100, r15100, r15099, MPFR_RNDN); mpfr_sqr(r15101, r15100, MPFR_RNDN); mpfr_sub(r15102, r15095, r15101, MPFR_RNDN); mpfr_add(r15103, r15094, r15100, MPFR_RNDN); mpfr_div(r15104, r15102, r15103, MPFR_RNDN); mpfr_mul(r15105, r15092, r15090, MPFR_RNDN); mpfr_sqr(r15106, r15105, MPFR_RNDN); mpfr_add(r15107, r15098, r15092, MPFR_RNDN); mpfr_sqr(r15108, r15107, MPFR_RNDN); mpfr_mul(r15109, r15105, r15107, MPFR_RNDN); mpfr_add(r15110, r15108, r15109, MPFR_RNDN); mpfr_add(r15111, r15106, r15110, MPFR_RNDN); mpfr_div(r15112, r15104, r15111, MPFR_RNDN); return mpfr_get_d(r15112, MPFR_RNDN); } static mpfr_t r15113, r15114, r15115, r15116, r15117, r15118, r15119, r15120, r15121, r15122, r15123, r15124, r15125, r15126, r15127, r15128, r15129, r15130, r15131, r15132, r15133, r15134, r15135, r15136; void setup_mpfr_f_dm() { mpfr_set_default_prec(144); mpfr_init(r15113); mpfr_init(r15114); mpfr_init(r15115); mpfr_init(r15116); mpfr_init(r15117); mpfr_init(r15118); mpfr_init(r15119); mpfr_init(r15120); mpfr_init(r15121); mpfr_init(r15122); mpfr_init(r15123); mpfr_init(r15124); mpfr_init(r15125); mpfr_init(r15126); mpfr_init(r15127); mpfr_init(r15128); mpfr_init(r15129); mpfr_init(r15130); mpfr_init(r15131); mpfr_init(r15132); mpfr_init(r15133); mpfr_init(r15134); mpfr_init(r15135); mpfr_init(r15136); } double f_dm(double x, double eps) { mpfr_set_d(r15113, eps, MPFR_RNDN); mpfr_cos(r15114, r15113, MPFR_RNDN); mpfr_set_d(r15115, x, MPFR_RNDN); mpfr_cos(r15116, r15115, MPFR_RNDN); mpfr_mul(r15117, r15114, r15116, MPFR_RNDN); mpfr_mul(r15118, r15117, r15117, MPFR_RNDN); mpfr_mul(r15118, r15118, r15117, MPFR_RNDN); mpfr_sqr(r15119, r15118, MPFR_RNDN); mpfr_sin(r15120, r15115, MPFR_RNDN); mpfr_sin(r15121, r15113, MPFR_RNDN); mpfr_mul(r15122, r15120, r15121, MPFR_RNDN); mpfr_add(r15123, r15116, r15122, MPFR_RNDN); mpfr_mul(r15124, r15123, r15123, MPFR_RNDN); mpfr_mul(r15124, r15124, r15123, MPFR_RNDN); mpfr_sqr(r15125, r15124, MPFR_RNDN); mpfr_sub(r15126, r15119, r15125, MPFR_RNDN); mpfr_add(r15127, r15118, r15124, MPFR_RNDN); mpfr_div(r15128, r15126, r15127, MPFR_RNDN); mpfr_mul(r15129, r15116, r15114, MPFR_RNDN); mpfr_sqr(r15130, r15129, MPFR_RNDN); mpfr_add(r15131, r15122, r15116, MPFR_RNDN); mpfr_sqr(r15132, r15131, MPFR_RNDN); mpfr_mul(r15133, r15129, r15131, MPFR_RNDN); mpfr_add(r15134, r15132, r15133, MPFR_RNDN); mpfr_add(r15135, r15130, r15134, MPFR_RNDN); mpfr_div(r15136, r15128, r15135, MPFR_RNDN); return mpfr_get_d(r15136, MPFR_RNDN); }